From 02f28b4aae76bd391807d651776e784b2bf67c7b Mon Sep 17 00:00:00 2001 From: Ziming Liu Date: Sun, 21 Jul 2024 20:36:34 -0400 Subject: [PATCH 1/9] Update README.md --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index e8d2a16b..5f28854e 100644 --- a/README.md +++ b/README.md @@ -9,9 +9,9 @@ For pypi users, this is the most recent version 0.2.1. New functionalities include (documentation later): * including multiplications in KANs. [Tutorial](https://github.com/KindXiaoming/pykan/blob/master/tutorials/Interp_1_Hello%2C%20MultKAN.ipynb) -* the speed mode. Speed up your KAN using `model = model.speed()` if you never use the symbolic functionalities. [Tutorial](https://github.com/KindXiaoming/pykan/blob/master/tutorials/Example_2_speed_up.ipynb) * Compiling symbolic formulas into KANs. [Tutorial](https://github.com/KindXiaoming/pykan/blob/master/tutorials/Interp_3_KAN_Compiler.ipynb) * Feature attribution and pruning inputs. [Tutorial](https://github.com/KindXiaoming/pykan/blob/master/tutorials/Interp_4_feature_attribution.ipynb) +* Using GPUs. It works on my end: please try the [tuotorial](https://github.com/KindXiaoming/pykan/blob/master/tutorials/API_10_device.ipynb) and let me know if it works on your end. # Kolmogorov-Arnold Networks (KANs) From ac159181db5b511325b86dc1bd7f963becb78723 Mon Sep 17 00:00:00 2001 From: Ziming Liu Date: Sun, 21 Jul 2024 20:57:40 -0400 Subject: [PATCH 2/9] Update README.md --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 5f28854e..6bc5b7db 100644 --- a/README.md +++ b/README.md @@ -11,7 +11,7 @@ New functionalities include (documentation later): * including multiplications in KANs. [Tutorial](https://github.com/KindXiaoming/pykan/blob/master/tutorials/Interp_1_Hello%2C%20MultKAN.ipynb) * Compiling symbolic formulas into KANs. [Tutorial](https://github.com/KindXiaoming/pykan/blob/master/tutorials/Interp_3_KAN_Compiler.ipynb) * Feature attribution and pruning inputs. [Tutorial](https://github.com/KindXiaoming/pykan/blob/master/tutorials/Interp_4_feature_attribution.ipynb) -* Using GPUs. It works on my end: please try the [tuotorial](https://github.com/KindXiaoming/pykan/blob/master/tutorials/API_10_device.ipynb) and let me know if it works on your end. +* Using GPUs. It works on my end: please try the [tuotorial](https://github.com/KindXiaoming/pykan/blob/master/tutorials/API_10_device.ipynb) and let me know if it works on your end. Cuda runs 20x faster than CPU. # Kolmogorov-Arnold Networks (KANs) From 9f0214eb733ecc7b8594f4f0b87434d1ffda2f5a Mon Sep 17 00:00:00 2001 From: kindxiaoming Date: Mon, 22 Jul 2024 16:59:06 -0400 Subject: [PATCH 3/9] fix least squares --- kan/KANLayer.py | 57 +++++++++++++++------ kan/MultKAN.py | 4 +- kan/spline.py | 18 +++++-- tutorials/Example_1_function_fitting.ipynb | 38 ++++++++++++-- tutorials/model/0.0_cache_data | Bin 0 -> 840 bytes tutorials/model/0.0_config.yml | 28 ++++++++++ tutorials/model/0.0_state | Bin 0 -> 6136 bytes tutorials/model/0.1_cache_data | Bin 0 -> 9022 bytes tutorials/model/0.1_config.yml | 28 ++++++++++ tutorials/model/0.1_state | Bin 0 -> 18040 bytes tutorials/model/history.txt | 3 ++ 11 files changed, 150 insertions(+), 26 deletions(-) create mode 100644 tutorials/model/0.0_cache_data create mode 100644 tutorials/model/0.0_config.yml create mode 100644 tutorials/model/0.0_state create mode 100644 tutorials/model/0.1_cache_data create mode 100644 tutorials/model/0.1_config.yml create mode 100644 tutorials/model/0.1_state create mode 100644 tutorials/model/history.txt diff --git a/kan/KANLayer.py b/kan/KANLayer.py index 60c7b0eb..f0a18616 100644 --- a/kan/KANLayer.py +++ b/kan/KANLayer.py @@ -192,7 +192,7 @@ def forward(self, x): y = torch.sum(y, dim=1) # shape (batch, out_dim) return y, preacts, postacts, postspline - def update_grid_from_samples(self, x): + def update_grid_from_samples(self, x, mode='sample'): ''' update grid from samples @@ -215,21 +215,32 @@ def update_grid_from_samples(self, x): tensor([[-1.0000, -0.6000, -0.2000, 0.2000, 0.6000, 1.0000]]) tensor([[-3.0002, -1.7882, -0.5763, 0.6357, 1.8476, 3.0002]]) ''' + batch = x.shape[0] #x = torch.einsum('ij,k->ikj', x, torch.ones(self.out_dim, ).to(self.device)).reshape(batch, self.size).permute(1, 0) x_pos = torch.sort(x, dim=0)[0] y_eval = coef2curve(x_pos, self.grid, self.coef, self.k) num_interval = self.grid.shape[1] - 1 - 2*self.k - ids = [int(batch / num_interval * i) for i in range(num_interval)] + [-1] - grid_adaptive = x_pos[ids, :].permute(1,0) - margin = 0.01 - h = (grid_adaptive[:,[-1]] - grid_adaptive[:,[0]])/num_interval - grid_uniform = grid_adaptive[:,[0]] + h * torch.arange(num_interval+1,)[None, :].to(x.device) - grid = self.grid_eps * grid_uniform + (1 - self.grid_eps) * grid_adaptive + + def get_grid(num_interval): + ids = [int(batch / num_interval * i) for i in range(num_interval)] + [-1] + grid_adaptive = x_pos[ids, :].permute(1,0) + h = (grid_adaptive[:,[-1]] - grid_adaptive[:,[0]])/num_interval + grid_uniform = grid_adaptive[:,[0]] + h * torch.arange(num_interval+1,)[None, :].to(x.device) + grid = self.grid_eps * grid_uniform + (1 - self.grid_eps) * grid_adaptive + return grid + + grid = get_grid(num_interval) + + if mode == 'grid': + sample_grid = get_grid(2*num_interval) + x_pos = sample_grid.permute(1,0) + y_eval = coef2curve(x_pos, self.grid, self.coef, self.k) + self.grid.data = extend_grid(grid, k_extend=self.k) self.coef.data = curve2coef(x_pos, y_eval, self.grid, self.k) - def initialize_grid_from_parent(self, parent, x): + def initialize_grid_from_parent(self, parent, x, mode='sample'): ''' update grid from a parent KANLayer & samples @@ -257,19 +268,31 @@ def initialize_grid_from_parent(self, parent, x): tensor([[-1.0000, -0.8000, -0.6000, -0.4000, -0.2000, 0.0000, 0.2000, 0.4000, 0.6000, 0.8000, 1.0000]]) ''' + batch = x.shape[0] - # preacts: shape (batch, in_dim) => shape (size, batch) (size = out_dim * in_dim) - #x_eval = torch.einsum('ij,k->ikj', x, torch.ones(self.out_dim, ).to(self.device)).reshape(batch, self.size).permute(1, 0) - x_eval = x - pgrid = parent.grid # (in_dim, G+2*k+1) - pk = parent.k - y_eval = coef2curve(x_eval, pgrid, parent.coef, pk) - h = (pgrid[:,[-pk]] - pgrid[:,[pk]])/self.num - grid = pgrid[:,[pk]] + torch.arange(self.num+1,) * h + x_pos = torch.sort(x, dim=0)[0] + y_eval = coef2curve(x_pos, parent.grid, parent.coef, parent.k) + num_interval = self.grid.shape[1] - 1 - 2*self.k + + def get_grid(num_interval): + ids = [int(batch / num_interval * i) for i in range(num_interval)] + [-1] + grid_adaptive = x_pos[ids, :].permute(1,0) + h = (grid_adaptive[:,[-1]] - grid_adaptive[:,[0]])/num_interval + grid_uniform = grid_adaptive[:,[0]] + h * torch.arange(num_interval+1,)[None, :].to(x.device) + grid = self.grid_eps * grid_uniform + (1 - self.grid_eps) * grid_adaptive + return grid + + grid = get_grid(num_interval) + + if mode == 'grid': + sample_grid = get_grid(2*num_interval) + x_pos = sample_grid.permute(1,0) + y_eval = coef2curve(x_pos, parent.grid, parent.coef, parent.k) + grid = extend_grid(grid, k_extend=self.k) self.grid.data = grid - self.coef.data = curve2coef(x_eval, y_eval, self.grid, self.k) + self.coef.data = curve2coef(x_pos, y_eval, self.grid, self.k) def get_subset(self, in_id, out_id): ''' diff --git a/kan/MultKAN.py b/kan/MultKAN.py index 39dd62b5..6745375d 100644 --- a/kan/MultKAN.py +++ b/kan/MultKAN.py @@ -155,7 +155,7 @@ def initialize_from_another_model(self, another_model, x): # spb = spb_parent preacts = another_model.spline_preacts[l] postsplines = another_model.spline_postsplines[l] - self.act_fun[l].coef.data = curve2coef(preacts[:,0,:], postsplines.permute(0,2,1), spb.grid, k=spb.k) + #self.act_fun[l].coef.data = curve2coef(preacts[:,0,:], postsplines.permute(0,2,1), spb.grid, k=spb.k) self.act_fun[l].scale_base.data = another_model.act_fun[l].scale_base.data self.act_fun[l].scale_sp.data = another_model.act_fun[l].scale_sp.data self.act_fun[l].mask.data = another_model.act_fun[l].mask.data @@ -170,7 +170,7 @@ def initialize_from_another_model(self, another_model, x): for l in range(self.depth): self.symbolic_fun[l] = another_model.symbolic_fun[l] - return self.to(device) + return self def log_history(self, method_name): diff --git a/kan/spline.py b/kan/spline.py index 6a14510c..ef87f126 100644 --- a/kan/spline.py +++ b/kan/spline.py @@ -120,7 +120,7 @@ def coef2curve(x_eval, grid, coef, k, device="cpu"): return y_eval -def curve2coef(x_eval, y_eval, grid, k): +def curve2coef(x_eval, y_eval, grid, k, lamb=1e-4): ''' converting B-spline curves to B-spline coefficients using least squares. @@ -163,10 +163,20 @@ def curve2coef(x_eval, y_eval, grid, k): mat = mat.permute(1,0,2)[:,None,:,:].expand(in_dim, out_dim, batch, n_coef) # (in_dim, out_dim, batch, n_coef) # coef shape: (in_dim, outdim, G+k) y_eval = y_eval.permute(1,2,0).unsqueeze(dim=3) # y_eval: (in_dim, out_dim, batch, 1) - #print(mat) device = mat.device - coef = torch.linalg.lstsq(mat, y_eval, - driver='gelsy' if device == 'cpu' else 'gels').solution[:,:,:,0] + + + #coef = torch.linalg.lstsq(mat, y_eval, + # driver='gelsy' if device == 'cpu' else 'gels').solution[:,:,:,0] + + XtX = torch.einsum('ijmn,ijnp->ijmp', mat.permute(0,1,3,2), mat) + Xty = torch.einsum('ijmn,ijnp->ijmp', mat.permute(0,1,3,2), y_eval) + n1, n2, n = XtX.shape[0], XtX.shape[1], XtX.shape[2] + identity = torch.eye(n,n)[None, None, :, :].expand(n1, n2, n, n) + A = XtX + lamb * identity + B = Xty + coef = (A.pinverse() @ B)[:,:,:,0] + return coef diff --git a/tutorials/Example_1_function_fitting.ipynb b/tutorials/Example_1_function_fitting.ipynb index 86e59806..ec3f0f9b 100644 --- a/tutorials/Example_1_function_fitting.ipynb +++ b/tutorials/Example_1_function_fitting.ipynb @@ -28,7 +28,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "Directory already exists: ./model\n" + "checkpoint directory created: ./model\n", + "saving model version 0.0\n" ] } ], @@ -64,7 +65,21 @@ "name": "stderr", "output_type": "stream", "text": [ - "train loss: 1.46e-02 | test loss: 1.53e-02 | reg: 5.15e+00 : 100%|██| 20/20 [00:04<00:00, 4.78it/s]\n" + "| train_loss: 1.51e-02 | test_loss: 1.58e-02 | reg: 7.24e+00 | : 100%|█| 20/20 [00:03<00:00, 6.01it" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.1\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n" ] } ], @@ -85,7 +100,24 @@ "execution_count": 3, "id": "3f1cfc9d", "metadata": {}, - "outputs": [], + "outputs": [ + { + "ename": "_LinAlgError", + "evalue": "torch.linalg.lstsq: (Batch element 0): The least squares solution could not be computed because the input matrix does not have full rank (error code: 12).", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31m_LinAlgError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/6j/b6y80djd4nb5hl73rv3sv8y80000gn/T/ipykernel_56355/1877214634.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;31m# initialize a more fine-grained KAN with G=10\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mmodel\u001b[0m \u001b[0;34m=\u001b[0m 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\u001b[0min_id\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mout_id\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/Desktop/2022/research/code/pykan/kan/spline.py\u001b[0m in \u001b[0;36mcurve2coef\u001b[0;34m(x_eval, y_eval, grid, k)\u001b[0m\n\u001b[1;32m 166\u001b[0m \u001b[0;31m#print(mat)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 167\u001b[0m \u001b[0mdevice\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmat\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdevice\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 168\u001b[0;31m coef = torch.linalg.lstsq(mat, y_eval,\n\u001b[0m\u001b[1;32m 169\u001b[0m driver='gelsy' if device == 'cpu' else 'gels').solution[:,:,:,0]\n\u001b[1;32m 170\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mcoef\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31m_LinAlgError\u001b[0m: torch.linalg.lstsq: (Batch element 0): The least squares solution could not be computed because the input matrix does not have full rank (error code: 12)." + ] + } + ], "source": [ "# initialize a more fine-grained KAN with G=10\n", "model = model.refine(10)" diff --git a/tutorials/model/0.0_cache_data b/tutorials/model/0.0_cache_data new file mode 100644 index 0000000000000000000000000000000000000000..d8d7888835e4ac5c9e1d383a812d9714be3e6404 GIT binary patch literal 840 zcmWIWW@cev;NW1u09*_b3}lpI(4BI|uKjt+had7(h4x zrcf_brEIIPd_x@WA14@6Kv9 zvuhc~SN*fo-6*}&99A(d=Xw$AeGY0Bk_ zg@Tb|`Ql{Rzoj%{l#G$h`5g0ua-$BO&h#=wPZmdv%y2$i&IF+;$BL!gcpy_@`9j&B zDH+3+d|@QRjLCAbl-U{b!;;RJz^a_Deb7rlC3B!9i z<~j?rjxg7A%=;L;UxyDk7FUHEBt!&0$Pt|u;zmN;#1S_$xJ8Hc&NWdXATgrQ#Th}1 zp%Np+8DRzy9ir|vQK4I+bVCoP#4JjjD7SLThZywgkeFpnROpj1J+OgeHd>fXgh_JD zZ45T+aJ%VDHpeofmB~ObFjmTsKuV&-;KN91WAG88G->{6_^9UBJkxLoCus~mro+b_ zq+HP$g-=MNIBY@Eat8gJVbzj>VS>< zI!AqjqrS=Dpbp*x5ak8$4f3|`RTxZ6uLV0rlinW(~xNNi^CLyJgWzJxxSUcSt!uP}I3 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a/tutorials/model/history.txt b/tutorials/model/history.txt deleted file mode 100644 index a10b37f5..00000000 --- a/tutorials/model/history.txt +++ /dev/null @@ -1,3 +0,0 @@ -### Round 0 ### -init => 0.0 -0.0 => fit => 0.1 From c132dbefda377e1eda6014110e5a402d83488e16 Mon Sep 17 00:00:00 2001 From: Ziming Liu Date: Thu, 25 Jul 2024 20:12:59 -0400 Subject: [PATCH 5/9] Update setup.py --- setup.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/setup.py b/setup.py index f8ee488f..80191755 100644 --- a/setup.py +++ b/setup.py @@ -6,7 +6,7 @@ setuptools.setup( name="pykan", - version="0.2.1", + version="0.2.2", author="Ziming Liu", author_email="zmliu@mit.edu", description="Kolmogorov Arnold Networks", From 09039c9b02e7622bdb83841a7572bf9279c414e6 Mon Sep 17 00:00:00 2001 From: kindxiaoming Date: Thu, 25 Jul 2024 20:16:52 -0400 Subject: [PATCH 6/9] fix multkan plot --- kan/MLP.py | 10 +- kan/MultKAN.py | 58 ++- kan/compiler.py | 9 +- kan/models.py | 109 +++++ kan/spline.py | 2 +- kan/utils.py | 105 ++++- .../Extension_2_autoencoder-checkpoint.ipynb | 1 - ...Interp_2_Advanced MultKAN-checkpoint.ipynb | 14 +- ...3A_KAN_Compiler_PDE-Copy1-checkpoint.ipynb | 377 +++++++++++++++++ ...nterp_3A_KAN_Compiler_PDE-checkpoint.ipynb | 400 ++++++++++++++++++ ...ding_in_structural_biases-checkpoint.ipynb | 103 ++++- ...dding_auxillary_variables-checkpoint.ipynb | 297 +++++++++++++ ...rp_3B_KAN_Compiler_hidden-checkpoint.ipynb | 398 +++++++++++++++++ tutorials/Extension_2_autoencoder.ipynb | 1 - tutorials/Interp_2_Advanced MultKAN.ipynb | 14 +- .../Interp_3A_KAN_Compiler_PDE-Copy1.ipynb | 377 +++++++++++++++++ tutorials/Interp_3A_KAN_Compiler_PDE.ipynb | 400 ++++++++++++++++++ ...terp_7_Building_in_structural_biases.ipynb | 159 ++++++- .../Interp_8_adding_auxillary_variables.ipynb | 297 +++++++++++++ tutorials/model/0.0_cache_data | Bin 0 -> 840 bytes tutorials/model/0.0_config.yml | 44 ++ tutorials/model/0.0_state | Bin 0 -> 7480 bytes tutorials/model/0.1_cache_data | Bin 0 -> 840 bytes tutorials/model/0.1_config.yml | 28 ++ tutorials/model/0.1_state | Bin 0 -> 4251 bytes tutorials/model/0.2_cache_data | Bin 0 -> 2622 bytes tutorials/model/0.2_config.yml | 33 ++ tutorials/model/0.2_state | Bin 0 -> 6236 bytes tutorials/model/0.3_cache_data | Bin 0 -> 2622 bytes tutorials/model/0.3_config.yml | 39 ++ tutorials/model/0.3_state | Bin 0 -> 6748 bytes tutorials/model/0.4_cache_data | Bin 0 -> 2622 bytes tutorials/model/0.4_config.yml | 39 ++ tutorials/model/0.4_state | Bin 0 -> 6748 bytes tutorials/model/0.5_cache_data | Bin 0 -> 4606 bytes tutorials/model/0.5_config.yml | 45 ++ tutorials/model/0.5_state | Bin 0 -> 6492 bytes tutorials/model/0.6_cache_data | Bin 0 -> 1854 bytes tutorials/model/0.6_config.yml | 45 ++ tutorials/model/0.6_state | Bin 0 -> 6492 bytes tutorials/model/0.7_cache_data | Bin 0 -> 1854 bytes tutorials/model/0.7_config.yml | 39 ++ tutorials/model/0.7_state | Bin 0 -> 6172 bytes tutorials/model/history.txt | 2 + tutorials/pde_fine_tune.pdf | Bin 0 -> 38585 bytes tutorials/pde_from_scratch.pdf | Bin 0 -> 37886 bytes tutorials/pde_loss.pdf | Bin 0 -> 33818 bytes ...hecked_Interp_3B_KAN_Compiler_hidden.ipynb | 398 +++++++++++++++++ 48 files changed, 3783 insertions(+), 60 deletions(-) create mode 100644 kan/models.py create mode 100644 tutorials/.ipynb_checkpoints/Interp_3A_KAN_Compiler_PDE-Copy1-checkpoint.ipynb create mode 100644 tutorials/.ipynb_checkpoints/Interp_3A_KAN_Compiler_PDE-checkpoint.ipynb create mode 100644 tutorials/.ipynb_checkpoints/Interp_8_adding_auxillary_variables-checkpoint.ipynb create mode 100644 tutorials/.ipynb_checkpoints/unchecked_Interp_3B_KAN_Compiler_hidden-checkpoint.ipynb create mode 100644 tutorials/Interp_3A_KAN_Compiler_PDE-Copy1.ipynb create mode 100644 tutorials/Interp_3A_KAN_Compiler_PDE.ipynb create mode 100644 tutorials/Interp_8_adding_auxillary_variables.ipynb create mode 100644 tutorials/model/0.0_cache_data create mode 100644 tutorials/model/0.0_config.yml create mode 100644 tutorials/model/0.0_state create mode 100644 tutorials/model/0.1_cache_data create mode 100644 tutorials/model/0.1_config.yml create mode 100644 tutorials/model/0.1_state create mode 100644 tutorials/model/0.2_cache_data create mode 100644 tutorials/model/0.2_config.yml create mode 100644 tutorials/model/0.2_state create mode 100644 tutorials/model/0.3_cache_data create mode 100644 tutorials/model/0.3_config.yml create mode 100644 tutorials/model/0.3_state create mode 100644 tutorials/model/0.4_cache_data create mode 100644 tutorials/model/0.4_config.yml create mode 100644 tutorials/model/0.4_state create mode 100644 tutorials/model/0.5_cache_data create mode 100644 tutorials/model/0.5_config.yml create mode 100644 tutorials/model/0.5_state create mode 100644 tutorials/model/0.6_cache_data create mode 100644 tutorials/model/0.6_config.yml create mode 100644 tutorials/model/0.6_state create mode 100644 tutorials/model/0.7_cache_data create mode 100644 tutorials/model/0.7_config.yml create mode 100644 tutorials/model/0.7_state create mode 100644 tutorials/model/history.txt create mode 100644 tutorials/pde_fine_tune.pdf create mode 100644 tutorials/pde_from_scratch.pdf create mode 100644 tutorials/pde_loss.pdf create mode 100644 tutorials/unchecked_Interp_3B_KAN_Compiler_hidden.ipynb diff --git a/kan/MLP.py b/kan/MLP.py index 03688362..1cd7167d 100644 --- a/kan/MLP.py +++ b/kan/MLP.py @@ -10,7 +10,7 @@ class MLP(nn.Module): - def __init__(self, width, act='silu', save_act=True, seed=0, device='cpu'): + def __init__(self, width, act='identity', save_act=True, seed=0, device='cpu'): super(MLP, self).__init__() torch.manual_seed(seed) @@ -22,8 +22,12 @@ def __init__(self, width, act='silu', save_act=True, seed=0, device='cpu'): linears.append(nn.Linear(width[i], width[i+1])) self.linears = nn.ModuleList(linears) - #if activation == 'silu': - self.act_fun = torch.nn.SiLU() + if act == 'silu': + self.act_fun = torch.nn.SiLU() + elif act == 'relu': + self.act_fun = torch.nn.ReLU() + elif act == 'identity': + self.act_fun = torch.nn.Identity() self.save_act = save_act self.acts = None self.device = device diff --git a/kan/MultKAN.py b/kan/MultKAN.py index 6745375d..f8609651 100644 --- a/kan/MultKAN.py +++ b/kan/MultKAN.py @@ -290,6 +290,11 @@ def loadckpt(path='model'): model_load.symbolic_fun[l].funs_avoid_singularity[j][i] = SYMBOLIC_LIB[fun_name][3] return model_load + def copy(self): + path='copy_temp' + self.saveckpt(path) + return KAN.loadckpt(path) + def rewind(self, model_id): self.round += 1 @@ -793,14 +798,17 @@ def reg(self, reg_metric, lamb_l1, lamb_entropy, lamb_coef, lamb_coefdiff): if reg_metric == 'edge_forward_n': acts_scale = self.acts_scale_spline - if reg_metric == 'edge_forward_u': + elif reg_metric == 'edge_forward_u': acts_scale = self.edge_actscale - if reg_metric == 'edge_backward': + elif reg_metric == 'edge_backward': acts_scale = self.edge_scores - if reg_metric == 'node_backward': + elif reg_metric == 'node_backward': acts_scale = self.node_attribute_scores + + else: + raise Exception(f'reg_metric = {reg_metric} not recognized!') reg_ = 0. for i in range(len(acts_scale)): @@ -830,12 +838,8 @@ def reg(self, reg_metric, lamb_l1, lamb_entropy, lamb_coef, lamb_coefdiff): def get_reg(self, reg_metric, lamb_l1, lamb_entropy, lamb_coef, lamb_coefdiff): return self.reg(reg_metric, lamb_l1, lamb_entropy, lamb_coef, lamb_coefdiff) - def disable_symbolic_in_fit(self, lamb): - - old_save_act = self.save_act - if lamb == 0.: - self.save_act = False - + def disable_symbolic_in_fit(self): + # skip symbolic if no symbolic is turned on depth = len(self.symbolic_fun) no_symbolic = True @@ -847,7 +851,22 @@ def disable_symbolic_in_fit(self, lamb): if no_symbolic: self.symbolic_enabled = False - return old_save_act, old_symbolic_enabled + return old_symbolic_enabled + + def disable_save_act_in_fit(self, lamb): + + old_save_act = self.save_act + if lamb == 0.: + self.save_act = False + + return old_save_act + + def recover_symbolic_in_fit(self, old_symbolic_enabled): + self.symbolic_enabled = old_symbolic_enabled + + def recover_save_act_in_fit(self, old_save_act): + if old_save_act == True: + self.save_act = True def get_params(self): return self.parameters() @@ -859,7 +878,8 @@ def fit(self, dataset, opt="LBFGS", steps=100, log=1, lamb=0., lamb_l1=1., lamb_ if lamb > 0. and not self.save_act: print('setting lamb=0. If you want to set lamb > 0, set self.save_act=True') - old_save_act, old_symbolic_enabled = self.disable_symbolic_in_fit(lamb) + old_save_act = self.disable_save_act_in_fit(lamb) + old_symbolic_enabled = self.disable_symbolic_in_fit() pbar = tqdm(range(steps), desc='description', ncols=100) @@ -916,7 +936,8 @@ def closure(): for _ in pbar: if _ == steps-1 and old_save_act: - self.save_act = True + #self.save_act = True + self.recover_save_act_in_fit() train_id = np.random.choice(dataset['train_input'].shape[0], batch_size, replace=False) test_id = np.random.choice(dataset['test_input'].shape[0], batch_size_test, replace=False) @@ -977,7 +998,7 @@ def closure(): self.log_history('fit') # revert back to original state - self.symbolic_enabled = old_symbolic_enabled + self.recover_symbolic_in_fit(old_symbolic_enabled) return results def prune_node(self, threshold=1e-2, mode="auto", active_neurons_id=None, log_history=True): @@ -1197,12 +1218,13 @@ def score_node2subnode(node_score, width, mult_arity, out_dim): subnode_score = node_score[:,:width[0]] if isinstance(mult_arity, int): #subnode_score[:,width[0]:] = node_score[:,width[0]:][:,:,None].expand(out_dim, node_score[width[0]:].shape[0], mult_arity).reshape(out_dim,-1) - subnode_score = torch.cat([subnode_score, node_score[:,width[0]:][:,:,None].expand(out_dim, node_score[width[0]:].shape[0], mult_arity).reshape(out_dim,-1)], dim=1) + subnode_score = torch.cat([subnode_score, node_score[:,width[0]:][:,:,None].expand(out_dim, node_score[:,width[0]:].shape[1], mult_arity).reshape(out_dim,-1)], dim=1) else: acml = width[0] for i in range(len(mult_arity)): #subnode_score[:, acml:acml+mult_arity[i]] = node_score[:, width[0]+i] - subnode_score = torch.cat([subnode_score, node_score[:, width[0]+i]].expand(out_dim, mult_arity[i]), dim=1) + + subnode_score = torch.cat([subnode_score, node_score[:, width[0]+i].expand(out_dim, mult_arity[i])], dim=1) acml += mult_arity[i] return subnode_score @@ -1234,7 +1256,7 @@ def score_node2subnode(node_score, width, mult_arity, out_dim): subnode_score = score_node2subnode(node_score, self.width[l], self.mult_arity, out_dim=out_dim) else: mult_arity = self.mult_arity[l] - subnode_score = score_node2subnode(node_score, self.width[l], mult_arity) + subnode_score = score_node2subnode(node_score, self.width[l], mult_arity, out_dim=out_dim) subnode_scores.append(subnode_score) # subnode to edge @@ -1512,6 +1534,8 @@ def expand_depth(self): self.node_scale.append(torch.nn.Parameter(torch.ones(dim_out,)).requires_grad_(self.affine_trainable)) self.subnode_bias.append(torch.nn.Parameter(torch.zeros(dim_out,)).requires_grad_(self.affine_trainable)) self.subnode_scale.append(torch.nn.Parameter(torch.ones(dim_out,)).requires_grad_(self.affine_trainable)) + + self.log_history('expand_depth') def expand_width(self, layer_id, n_added_nodes, sum_bool=True, mult_arity=2): @@ -1647,6 +1671,8 @@ def _expand(layer_id, n_added_nodes, sum_bool=True, mult_arity=2, added_dim='out self.width[layer_id][1] += n_added_nodes self.mult_arity[layer_id] += mult_arity + self.log_history('expand_width') + def perturb(self, mag=0.02, mode='all'): if mode == 'all': for i in range(self.depth): diff --git a/kan/compiler.py b/kan/compiler.py index e5b63457..d0fa9457 100644 --- a/kan/compiler.py +++ b/kan/compiler.py @@ -42,7 +42,7 @@ def next_nontrivial_operation(expr, scale=1, bias=0): #def sf2kan(input_variables, expr, grid=3, k=3, noise_scale=0.1, scale_base_mu=0.0, scale_base_sigma=1.0, base_fun=torch.nn.SiLU(), symbolic_enabled=True, affine_trainable=False, grid_eps=1.0, grid_range=[-1, 1], sp_trainable=True, sb_trainable=True, device='cpu', seed=0): -def sf2kan(input_variables, expr, grid=5, k=3, auto_save=False): +def expr2kan(input_variables, expr, grid=5, k=3, auto_save=True): class Node: def __init__(self, expr, mult_bool, depth, scale, bias, parent=None, mult_arity=None): @@ -344,7 +344,7 @@ def create_node(expr, parent=None, n_layer=None): width[0][0] = len(input_variables) # allow pass in other parameters (probably as a dictionary) in sf2kan, including grid k etc. - model = MultKAN(width=width, mult_arity=mult_arities, grid=grid, k=k, auto_save=auto_save) + model = MultKAN(width=width, mult_arity=mult_arities, grid=grid, k=k, auto_save=False) # clean the graph for l in range(model.depth): @@ -442,4 +442,9 @@ def create_node(expr, parent=None, n_layer=None): model.fix_symbolic(kc_depth, kc_i, kc_j, kfun_name, fit_params_bool=False) model.symbolic_fun[kc_depth].affine.data.reshape(self.width_out[kc_depth+1], self.width_in[kc_depth], 4)[kc_j][kc_i] = torch.tensor(connection.affine) + model.auto_save = auto_save + model.log_history('kanpiler') + return model + +kanpiler = expr2kan \ No newline at end of file diff --git a/kan/models.py b/kan/models.py new file mode 100644 index 00000000..de91d694 --- /dev/null +++ b/kan/models.py @@ -0,0 +1,109 @@ +from kan import * +from kan.MLP import MLP + +# define the AutoEncoder class + +class AutoEncoder(KAN): + + def __init__(self, width_enc=None, width_dec=None, grid=3, k=3, seed=1, enc_type='kan', dec_type='kan'): + + # this is a bit hacky. The class is inherited from the KAN class to make it easy to create the fit() method. + super(AutoEncoder, self).__init__(width=[1,1]) + + if enc_type == 'kan': + self.encoder = KAN(width=width_enc, grid=grid, k=k, seed=seed, auto_save=False, base_fun='identity') + elif enc_type == 'mlp': + self.encoder = MLP(width=width_enc, seed=seed) + + if dec_type == 'kan': + self.decoder = KAN(width=width_dec, grid=grid, k=k, seed=seed, auto_save=False, base_fun='identity') + elif dec_type == 'mlp': + self.decoder = MLP(width=width_dec, seed=seed) + + self.enc_type = enc_type + self.dec_type = dec_type + + def forward(self, x, singularity_avoiding=False, y_th=1000.): + hidden = self.encoder(x) + y = self.decoder(hidden) + return y + + def get_params(self): + return list(self.encoder.parameters()) + list(self.decoder.parameters()) + + def get_reg(self, reg_metric='edge_backward', lamb_l1=1., lamb_entropy=2., lamb_coef=1., lamb_coefdiff=0.): + + if self.enc_type == 'kan': + enc_reg = self.encoder.reg(reg_metric, lamb_l1, lamb_entropy, lamb_coef, lamb_coefdiff) + else: + enc_reg = self.encoder.reg(reg_metric='w', lamb_l1=lamb_l1, lamb_entropy=lamb_entropy) + + if self.dec_type == 'kan': + dec_reg = self.decoder.reg(reg_metric, lamb_l1, lamb_entropy, lamb_coef, lamb_coefdiff) + else: + dec_reg = self.decoder.reg(reg_metric='w', lamb_l1=lamb_l1, lamb_entropy=lamb_entropy) + + return enc_reg + dec_reg + + def attribute(self): + self.decoder.attribute() + self.encoder.attribute() + + + def update_grid(self, x): + + if self.enc_type == 'kan': + self.encoder.update_grid_from_samples(x) + + if self.dec_type == 'kan': + hidden = self.encoder(x) + self.decoder.update_grid_from_samples(hidden) + + def disable_symbolic_in_fit(self): + #self.disable_symbolic_in_fit() + enc_symbolic_enabled = None + dec_symbolic_enabled = None + + if self.enc_type == 'kan': + enc_symbolic_enabled = self.encoder.symbolic_enabled + self.encoder.disable_symbolic_in_fit() + + if self.dec_type == 'kan': + dec_symbolic_enabled = self.decoder.symbolic_enabled + self.decoder.disable_symbolic_in_fit() + + return enc_symbolic_enabled, dec_symbolic_enabled + + def disable_save_act_in_fit(self, lamb): + + old_save_act = self.save_act + + if lamb == 0.: + self.save_act = False + + if self.enc_type == 'kan': + self.encoder.disable_save_act_in_fit(lamb) + + if self.dec_type == 'kan': + self.decoder.disable_save_act_in_fit(lamb) + + return old_save_act + + def recover_symbolic_in_fit(self, old_symbolic_enabled): + self.symbolic_enabled = old_symbolic_enabled + if self.enc_type == 'kan': + self.encoder.symbolic_enabled = old_symbolic_enabled[0] + if self.dec_type == 'kan': + self.decoder.symbolic_enabled = old_symbolic_enabled[1] + + def recover_save_act_in_fit(self): + self.save_act = True + if self.enc_type == 'kan': + self.encoder.save_act = True + if self.dec_type == 'kan': + self.decoder.save_act = True + + + def fit(self, dataset, reg_metric='edge_backward', steps=20, lamb=0., lamb_l1=1., lamb_entropy=2., lamb_coef=1., lamb_coefdiff=0.): + super(AutoEncoder, self).fit(dataset, reg_metric=reg_metric, steps=steps, lamb=lamb, lamb_l1=lamb_l1, lamb_entropy=lamb_entropy, lamb_coef=lamb_coef, lamb_coefdiff=lamb_coefdiff) + \ No newline at end of file diff --git a/kan/spline.py b/kan/spline.py index ef87f126..0e894f67 100644 --- a/kan/spline.py +++ b/kan/spline.py @@ -120,7 +120,7 @@ def coef2curve(x_eval, grid, coef, k, device="cpu"): return y_eval -def curve2coef(x_eval, y_eval, grid, k, lamb=1e-4): +def curve2coef(x_eval, y_eval, grid, k, lamb=1e-8): ''' converting B-spline curves to B-spline coefficients using least squares. diff --git a/kan/utils.py b/kan/utils.py index 8d8bd9c4..0ed4a019 100644 --- a/kan/utils.py +++ b/kan/utils.py @@ -4,6 +4,8 @@ import sympy import yaml from sympy.utilities.lambdify import lambdify +import copy +import re # sigmoid = sympy.Function('sigmoid') # name: (torch implementation, sympy implementation) @@ -347,4 +349,105 @@ def batch_hessian(model, x, create_graph=False): jac = lambda x: batch_jacobian(model, x, create_graph=True) def _jac_sum(x): return jac(x).sum(dim=0) - return torch.autograd.functional.jacobian(_jac_sum, x, create_graph=create_graph).permute(1,0,2) \ No newline at end of file + return torch.autograd.functional.jacobian(_jac_sum, x, create_graph=create_graph).permute(1,0,2) + + +def model2param(model): + p = torch.tensor([]) + for params in model.parameters(): + p = torch.cat([p, params.reshape(-1,)], dim=0) + return p + + +def get_derivative(model, inputs, labels, derivative='hessian', loss_mode='pred', reg_metric='w', lamb=0., lamb_l1=1., lamb_entropy=0.): + + def get_mapping(model): + + mapping = {} + name = 'model1' + + keys = list(model.state_dict().keys()) + for key in keys: + + y = re.findall(".[0-9]+", key) + if len(y) > 0: + y = y[0][1:] + x = re.split(".[0-9]+", key) + mapping[key] = name + '.' + x[0] + '[' + y + ']' + x[1] + + + y = re.findall("_[0-9]+", key) + if len(y) > 0: + y = y[0][1:] + x = re.split(".[0-9]+", key) + mapping[key] = name + '.' + x[0] + '[' + y + ']' + + return mapping + + + #model1 = copy.deepcopy(model) + model1 = model.copy() + mapping = get_mapping(model) + + # collect keys and shapes + keys = list(model.state_dict().keys()) + shapes = [] + + for params in model.parameters(): + shapes.append(params.shape) + + + # turn a flattened vector to model params + def param2statedict(p, keys, shapes): + + new_state_dict = {} + + start = 0 + n_group = len(keys) + for i in range(n_group): + shape = shapes[i] + n_params = torch.prod(torch.tensor(shape)) + new_state_dict[keys[i]] = p[start:start+n_params].reshape(shape) + start += n_params + + return new_state_dict + + def differentiable_load_state_dict(mapping, state_dict, model1): + + for key in keys: + if mapping[key][-1] != ']': + exec(f"del {mapping[key]}") + exec(f"{mapping[key]} = state_dict[key]") + + + # input: p, output: output + def get_param2loss_fun(inputs, labels): + + def param2loss_fun(p): + + p = p[0] + state_dict = param2statedict(p, keys, shapes) + # this step is non-differentiable + #model.load_state_dict(state_dict) + differentiable_load_state_dict(mapping, state_dict, model1) + if loss_mode == 'pred': + pred_loss = torch.mean((model1(inputs) - labels)**2, dim=(0,1), keepdim=True) + loss = pred_loss + elif loss_mode == 'reg': + reg_loss = model1.get_reg(reg_metric=reg_metric, lamb_l1=lamb_l1, lamb_entropy=lamb_entropy) * torch.ones(1,1) + loss = reg_loss + elif loss_mode == 'all': + pred_loss = torch.mean((model1(inputs) - labels)**2, dim=(0,1), keepdim=True) + reg_loss = model1.get_reg(reg_metric=reg_metric, lamb_l1=lamb_l1, lamb_entropy=lamb_entropy) * torch.ones(1,1) + loss = pred_loss + lamb * reg_loss + return loss + + return param2loss_fun + + fun = get_param2loss_fun(inputs, labels) + p = model2param(model)[None,:] + if derivative == 'hessian': + result = batch_hessian(fun, p) + elif derivative == 'jacobian': + result = batch_jacobian(fun, p) + return result diff --git a/tutorials/.ipynb_checkpoints/Extension_2_autoencoder-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Extension_2_autoencoder-checkpoint.ipynb index 1174f5a8..cd96ee3c 100644 --- a/tutorials/.ipynb_checkpoints/Extension_2_autoencoder-checkpoint.ipynb +++ b/tutorials/.ipynb_checkpoints/Extension_2_autoencoder-checkpoint.ipynb @@ -80,7 +80,6 @@ " if self.enc_type == 'kan':\n", " self.encoder.update_grid_from_samples(x)\n", " \n", - " hidden = self.encoder(x).detach()\n", " if self.dec_type == 'kan':\n", " self.decoder.update_grid_from_samples(hidden)\n", " \n", diff --git a/tutorials/.ipynb_checkpoints/Interp_2_Advanced MultKAN-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Interp_2_Advanced MultKAN-checkpoint.ipynb index 6d593823..2916cf5d 100644 --- a/tutorials/.ipynb_checkpoints/Interp_2_Advanced MultKAN-checkpoint.ipynb +++ b/tutorials/.ipynb_checkpoints/Interp_2_Advanced MultKAN-checkpoint.ipynb @@ -5,7 +5,7 @@ "id": "c982abca", "metadata": {}, "source": [ - "# Interpretation 2: Advanced MultKAN!" + "# Interpretation 2: Advanced MultKAN" ] }, { @@ -18,13 +18,21 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 1, "id": "d8f94f0f", "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "checkpoint directory created: ./model\n", + "saving model version 0.0\n" + ] + }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] diff --git a/tutorials/.ipynb_checkpoints/Interp_3A_KAN_Compiler_PDE-Copy1-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Interp_3A_KAN_Compiler_PDE-Copy1-checkpoint.ipynb new file mode 100644 index 00000000..add1c854 --- /dev/null +++ b/tutorials/.ipynb_checkpoints/Interp_3A_KAN_Compiler_PDE-Copy1-checkpoint.ipynb @@ -0,0 +1,377 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "c982abca", + "metadata": {}, + "source": [ + "# Interpretation 3A: KAN Compiler for PDE\n" + ] + }, + { + "cell_type": "markdown", + "id": "6b9ec6c4", + "metadata": {}, + "source": [ + "In scientific applications, we sometimes know empirical formulas or approximate solutions, represented as symbolic formulas. It would be nice to initialize the KAN network to be the approximate solution, and then fine tune the KAN network. " + ] + }, + { + "cell_type": "markdown", + "id": "9d2efb12", + "metadata": {}, + "source": [ + "In this notebook, We aim to solve a 2D poisson equation $\\nabla^2 f(x,y) = -2\\pi^2({\\rm sin}(\\pi x){\\rm sin}(\\pi y) + 4\\epsilon\\ {\\rm sin}(2\\pi x){\\rm sin}(2\\pi y))$, with boundary condition $f(-1,y)=f(1,y)=f(x,-1)=f(x,1)=0$. The ground truth solution is $f(x,y)={\\rm sin}(\\pi x){\\rm sin}(\\pi y)+\\epsilon\\ {\\rm sin}(2\\pi x){\\rm sin}(2\\pi y)$. We set $\\epsilon$ to be a small number, and assume to know the approximate solution $f\\approx f_{\\rm approx}={\\rm sin}(\\pi x){\\rm sin}(\\pi y)$." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "d8f94f0f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.1\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from kan.compiler import kanpiler\n", + "from sympy import *\n", + "from kan.utils import create_dataset\n", + "import torch\n", + "\n", + "input_variables = x,y = symbols('x y')\n", + "expr = sin(pi*x) * sin(pi*y) #+ 0.01 * sin(2*pi*x) * sin(2*pi*y)\n", + "\n", + "model = kanpiler(input_variables, expr, grid=5)\n", + "\n", + "x = torch.rand(100,2) * 2 - 1\n", + "model.get_act(x)\n", + "\n", + "model.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "381b8a03", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.2\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model.expand_depth()\n", + "model.get_act(x)\n", + "model.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "5c5f92c9", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.3\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model.expand_width(1, 1, sum_bool=False)\n", + "model.get_act(x)\n", + "model.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "45c8e738", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.4\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model.perturb(mag=0.01, mode='all')\n", + "model.get_act(x)\n", + "model.plot(metric='forward_n')\n", + "# purple means both symbolic front (red) and spline front (black) are active" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f27160d3", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "e0aa12c1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "checkpoint directory created: ./model\n", + "saving model version 0.0\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "pde loss: 2.16e-01 | bc loss: 1.21e-04 | l2: 6.99e-05 : 100%|███| 2001/2001 [02:03<00:00, 16.24it/s]\n" + ] + } + ], + "source": [ + "from kan import *\n", + "import matplotlib.pyplot as plt\n", + "from torch import autograd\n", + "from tqdm import tqdm\n", + "\n", + "dim = 2\n", + "np_i = 21 # number of interior points (along each dimension)\n", + "np_b = 21 # number of boundary points (along each dimension)\n", + "ranges = [-1, 1]\n", + "\n", + "#mode = 'fine_tune'\n", + "mode = 'from_scratch'\n", + "\n", + "if mode == 'from_scratch':\n", + " model = KAN(width=[2,[0,2],1], grid=5, k=3, seed=3)\n", + "else:\n", + " # use the model defined above\n", + " pass\n", + "\n", + "def batch_jacobian(func, x, create_graph=False):\n", + " # x in shape (Batch, Length)\n", + " def _func_sum(x):\n", + " return func(x).sum(dim=0)\n", + " return autograd.functional.jacobian(_func_sum, x, create_graph=create_graph).permute(1,0,2)\n", + "\n", + "# define solution\n", + "epsilon = 0.01\n", + "sol_fun = lambda x: torch.sin(torch.pi*x[:,[0]])*torch.sin(torch.pi*x[:,[1]]) + epsilon * torch.sin(2*torch.pi*x[:,[0]])*torch.sin(2*torch.pi*x[:,[1]])\n", + "source_fun = lambda x: -2*torch.pi**2 * (torch.sin(torch.pi*x[:,[0]])*torch.sin(torch.pi*x[:,[1]]) + 4 * epsilon * torch.sin(2*torch.pi*x[:,[0]])*torch.sin(2*torch.pi*x[:,[1]]))\n", + "\n", + "# interior\n", + "sampling_mode = 'mesh' # 'ranndom' or 'mesh'\n", + "\n", + "x_mesh = torch.linspace(ranges[0],ranges[1],steps=np_i)\n", + "y_mesh = torch.linspace(ranges[0],ranges[1],steps=np_i)\n", + "X, Y = torch.meshgrid(x_mesh, y_mesh, indexing=\"ij\")\n", + "if sampling_mode == 'mesh':\n", + " #mesh\n", + " x_i = torch.stack([X.reshape(-1,), Y.reshape(-1,)]).permute(1,0)\n", + "else:\n", + " #random\n", + " x_i = torch.rand((np_i**2,2))*2-1\n", + "\n", + "# boundary, 4 sides\n", + "helper = lambda X, Y: torch.stack([X.reshape(-1,), Y.reshape(-1,)]).permute(1,0)\n", + "xb1 = helper(X[0], Y[0])\n", + "xb2 = helper(X[-1], Y[0])\n", + "xb3 = helper(X[:,0], Y[:,0])\n", + "xb4 = helper(X[:,0], Y[:,-1])\n", + "x_b = torch.cat([xb1, xb2, xb3, xb4], dim=0)\n", + "\n", + "steps = 2001\n", + "alpha = 0.01\n", + "log = 1\n", + "\n", + "def train():\n", + " \n", + " l2s = []\n", + " \n", + " #optimizer = LBFGS(model.parameters(), lr=1, history_size=10, line_search_fn=\"strong_wolfe\", tolerance_grad=1e-32, tolerance_change=1e-32, tolerance_ys=1e-32)\n", + " if mode == 'from_scratch':\n", + " lr = 1e-2\n", + " if mode == 'fine_tune':\n", + " lr = 1e-3\n", + " optimizer = torch.optim.Adam(model.parameters(), lr=lr)\n", + " \n", + " pbar = tqdm(range(steps), desc='description', ncols=100)\n", + "\n", + " for _ in pbar:\n", + " \n", + " \n", + " def closure():\n", + " global pde_loss, bc_loss\n", + " optimizer.zero_grad()\n", + " # interior loss\n", + " sol = sol_fun(x_i)\n", + " sol_D1_fun = lambda x: batch_jacobian(model, x, create_graph=True)[:,0,:]\n", + " sol_D1 = sol_D1_fun(x_i)\n", + " sol_D2 = batch_jacobian(sol_D1_fun, x_i, create_graph=True)[:,:,:]\n", + " lap = torch.sum(torch.diagonal(sol_D2, dim1=1, dim2=2), dim=1, keepdim=True)\n", + " source = source_fun(x_i)\n", + " pde_loss = torch.mean((lap - source)**2)\n", + "\n", + " # boundary loss\n", + " bc_true = sol_fun(x_b)\n", + " bc_pred = model(x_b)\n", + " bc_loss = torch.mean((bc_pred-bc_true)**2)\n", + "\n", + " loss = alpha * pde_loss + bc_loss\n", + " loss.backward()\n", + " return loss\n", + "\n", + " if _ % 50 == 0 and _ < 500:\n", + " model.update_grid_from_samples(x_i)\n", + "\n", + " optimizer.step(closure)\n", + " sol = sol_fun(x_i)\n", + " loss = alpha * pde_loss + bc_loss\n", + " l2 = torch.mean((model(x_i) - sol)**2)\n", + " l2s.append(l2.item())\n", + "\n", + " if _ % log == 0:\n", + " pbar.set_description(\"pde loss: %.2e | bc loss: %.2e | l2: %.2e \" % (pde_loss.cpu().detach().numpy(), bc_loss.cpu().detach().numpy(), l2.detach().numpy()))\n", + "\n", + " return l2s\n", + " \n", + " \n", + "if mode == 'fine_tune':\n", + " l2s_fine_tune = train()\n", + "if mode == 'from_scratch':\n", + " l2s_from_scratch = train()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "6e62456e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model.plot()\n", + "if mode == 'fine_tune':\n", + " plt.savefig('./pde_fine_tune.pdf', bbox_inches='tight', dpi=200)\n", + "if mode == 'from_scratch':\n", + " plt.savefig('./pde_from_scratch.pdf', bbox_inches='tight', dpi=200)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "301c304f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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TJrRt2xZmZmZo2rQpPv/88zLn+vjjjzFp0iTY2dlhypQp1Xpvdu7cCTs7O6xduxbAo6aqzz77DO7u7nBycsK0adNQUFCgfE1KSgomTJgABwcHWFpaYsiQIbh69SoAQAgBFxcXbNq0SVm+Y8eOcHV1VT4/duwYTExMkJmZWW5Md+/exbPPPgsHBwc4OTlhxIgRuHnzpnK/QqHArFmzYG9vDycnJ7z11ltlavkyMjIwbtw4WFlZwd3dHcuXLy/TvJifn4+33noLjRs3hpWVFbp164awsLBqvW/qatAJ0pNPPgkHBwc8/fTTug6lckyQiEgThADys3Rzq2bTV58+fZCRkYEzZ84AAA4cOABnZ2ccOHBAWSYsLAzBwcHK5xcuXEBCQgL69+8PAHjrrbewadMmrFmzBqdPn0aLFi0waNAgPHjwoNJzL126FO3bt8fp06cxd+5czJw5E3v27FEp8+GHH2LEiBGIiorCiy++WOYYEREReOaZZzBmzBhERUVh/vz5mDdvHlavXl3mXP7+/oiIiMC8efOqfF/Wr1+PZ555BmvXrsWECROU2/fv34/r169j//79WLNmDVavXq1yrkmTJiE8PBzbtm3DsWPHIITA0KFDUVBQAJlMhj59+igTjZSUFERHR6OgoADR0dHK9zowMBDW1tZlYsrOzkbfvn1hbW2NgwcP4vDhw7C2tsbgwYOVtWKff/45fv75Z6xcuRKHDx/GgwcPsGXLFpXjzJo1C0eOHMG2bduwZ88eHDp0CKdPn1Yp88ILL+DIkSNYv349zp07h9GjR2Pw4MHKZE8rRAO2b98+sW3bNjFq1KgavzYtLU0AEGlpaVqIrJQru4X40FaI0CDtn4uI6oWcnBwRHR0tcnJyHm3My5T+lujilpdZ7dgDAgLEZ599JoQQYuTIkWLRokXC1NRUpKeni/j4eAFAXLx4UVl+0aJF4qmnnhJCCJGZmSlMTEzEunXrlPvz8/OFh4eH+PTTTys8p7e3txg8eLDKtmeffVYMGTJE+RyAmDFjhkqZ/fv3CwAiJSVFCCHE2LFjxYABA1TKvPnmm8LPz0/lXCNHjqzyfQgODhbTp08XoaGhws7OTuzbt09l/8SJE4W3t7coLCxUbhs9erR49tlnhRBCXLlyRQAQR44cUe5PSkoSFhYW4o8//hBCCPHVV18Jf39/IYQQW7duFZ07dxZPPfWUCA0NFUIIMXDgQPH222+rvAdbtmwRQgixcuVK4evrK4qKipT78/LyhIWFhdi1a5cQQgh3d3exZMkS5f6CggLRpEkTMWLECCGEEOnp6cLExERs3LhRWSY1NVVYWlqK6dOnCyGEuHbtmpDJZOLu3bsq19+/f38xd+7cct+7cn/+H6ru93eDrkHq27cvbGxsdB1G1UrWIHFtYSKq50JCQhAWFgYhBA4dOoQRI0bA398fhw8fxv79++Hm5obWrVsry//111/K5rXr16+joKAAPXv2VO43MTFB165dcfFi5RPuBgUFlXle+jWdO3eu9BgXL15UOTcA9OzZE1evXoVCoaj2cYpt2rQJM2bMwO7du9G3b98y+9u2bQu5XK587u7ujsTERGUsxsbG6Natm3K/k5MTfH19ldcVEhKCCxcuICkpCQcOHEBISAhCQkJw4MABFBYW4ujRoyq1dSVFRETg2rVrsLGxgbW1NaytreHo6Ijc3Fxcv34daWlpiI+PV3lfjY2NVa79xo0bKCgoQNeuXZXb7Ozs4Ovrq3x++vRpCCHQqlUr5Xmsra1x4MABXL+uvb65xlo7ci0dPHgQS5cuRUREBOLj47Fly5YywwJXrFiBpUuXIj4+Hm3btsUXX3yB3r176yZgbbLzBGRyoDAHyEgAbN11HRERGSITS+BdHU0XYmJZ7aIhISFYuXIlzp49CyMjI/j5+SE4OBgHDhxASkqKyhd2QkICTp8+jccffxwAlP1bSneaFkKo1ZG69GusrKwqLV/eeUQ5/9hWdZxiHTt2xOnTp7Fq1Sp06dKlzLFNTEzKxFvcf6u885aO0d/fH05OTjhw4AAOHDiAhQsXwtPTE4sWLcKpU6eQk5ODXr16lXucoqIiBAYGYt26dWX2ubi4VOv6Kvu8Sp5HLpcjIiJCJRkEUG7Tn6bobQ1SVlYWOnTogG+++abc/Rs2bMCMGTPw3nvv4cyZM+jduzeGDBmC2NhYZZnAwED4+/uXucXF1fwPRF5eHtLT01VudcbYFLD3lB6zHxIRqUsmA0ytdHOrQXJS3A/piy++QHBwMGQyGYKDgxEWFlam/9G2bdsQFBQEZ2dnAECLFi1gamqKw4cPK8sUFBQgPDwcbdq0qfS8x48fL/O8ZE1Vdfj5+amcGwCOHj2KVq1alflyr47mzZtj//79+Ouvv/D666/XOJbCwkKcOHFCuS05ORlXrlxRvhfF/ZD++usvnD9/Hr1790a7du1QUFCA7777DgEBARW2tAQEBODq1atwdXVFixYtVG52dnaws7ODu7u7yvtaWFiIiIgIleszMTHByZMnldvS09NV+hZ16tQJCoUCiYmJZc7TqFGjGr0nNVJpA5yeQIk2z2Jdu3YVL7/8ssq21q1bi3feeadGx96/f3+1+iB9+OGHAkCZW530QRJCiFWPS+34kevr5nxEZNAq64NhCAICAoRcLhfffPONEEKIBw8eCBMTEwFAXLhwQVnu8ccfV/ZXKjZ9+nTh4eEh/v33X3HhwgUxceJE4eDgIB48eFDh+by9vYWtra345JNPxOXLl8U333wj5HK52Llzp7JMed9FpfsgRURECCMjI7Fw4UJx+fJlsXr1amFhYSFWrVqlcq7ly5dX+R4U90ESQohLly6JRo0aKZ8LIfVBKu7LU/Lag4ODlc9HjBgh/Pz8xKFDh0RkZKQYPHiwaNGihcjPz1eW+eqrr4RcLhedO3dWbhs5cqSQy+XizTffVDl+yfcgKytLtGzZUoSEhIiDBw+KGzduiLCwMPHGG2+I27dvCyGEWLJkiXBwcBCbN28WFy9eFFOmTBE2NjYqcb/00kvCx8dH7Nu3T5w/f16MGjVK2NjYqPT3GjdunGjatKnYtGmTuHHjhjh58qRYsmSJ+Oeff8p97xpsH6T8/HxERERg4MCBKtsHDhyIo0ePauWcc+fORVpamvJ2+/ZtrZynQnYPa5DS79TteYmIdKBv375QKBQICQkBADg4OMDPzw8uLi7K2o+srCz8999/yv5HxZYsWYJRo0Zh/PjxCAgIwLVr17Br1y44ODhUes7Zs2cjIiICnTp1wkcffYTPP/8cgwYNqlHcAQEB+OOPP7B+/Xr4+/vjgw8+wMKFCzFp0qQaHac0X19f7Nu3D7///jtmz55d7detWrUKgYGBGDZsGIKCgiCEwI4dO1Sa5kq/1wAQHBwMhUJRYf8jALC0tMTBgwfh5eWFp556Cm3atMGLL76InJwc2NraApDe0wkTJmDSpEkICgqCjY0NnnzySZXjLFu2DEFBQRg2bBgee+wx9OzZE23atIG5ubnKdUyYMAGzZ8+Gr68vnnjiCZw4cQKenp7Vfi9qrNL0SU+gVNZ+9+7dMj3zhZBGMrRq1araxx04cKBwdnYWFhYWonHjxuLkyZPVfm2djmITQoj/PpZqkLbPqLosETV4hl6DVB2bNm0Sbdq00cixqlurQ9qXmZkp7OzsxE8//aT2MTRRg6S3nbSro7ad8Hbt2lXjc4aGhiI0NFRlNEKdsGss3aexBomICJA66H7yySe6DoNq6cyZM7h06RK6du2KtLQ0LFy4EAAwYsQIncZlkAmSs7Mz5HI5EhISVLYnJibCzc1Nq+eeNm0apk2bhvT09Lpde8euiXSfdrfuzklEpMdKd7Mgw/XZZ5/h8uXLMDU1RWBgIA4dOqTseK8rBpkgFb+Be/bsUWnL3LNnj84zTq0p7oPEGiQiIo0ruTwG1a1OnTqpjGzTF3qbIGVmZuLatWvK5zExMYiMjISjoyO8vLwwa9YsjB8/Hp07d0ZQUBB++OEHxMbG4uWXX9Zh1Fpk+7CJLS8NyE0HzG11Gw8REVE9prcJUnh4uMqsobNmzQIATJw4EatXr8azzz6L5ORkLFy4EPHx8fD398eOHTvg7e2t1bh01gfJzBowtwdyU4H0u0yQiKhaBGffpwZIEz/3MsHfHrUU90FKS0tTDmfUutBuwP1LwPitQPOyU84TERVTKBS4cuUKXF1d4eTkpOtwiOpUcnIyEhMTy52gs7rf33pbg0TlsGkkJUiZ93QdCRHpOblcDnt7e+W6XJaWlmottUFkSIQQyM7ORmJiIuzt7dWavbwYEyRDYv1wSvWMeN3GQUQGoXgZhuIkiaihsLe3r/UyJEyQakhnfZAAqQYJADJYg0REVZPJZHB3d4erqysKCgp0HQ5RnTAxMalVzVExJkg1pLN5kIBHCVJmQuXliIhKkMvlGvnCIGpIDHIttgbL+uEkmBlMkIiIiLSJCZIhsXGX7pkgERERaRUTJENiU6IGibMzEBERaQ0TpBoKDQ2Fn58funTpUvcnLx7FVpgD5KXX/fmJiIgaCCZINTRt2jRER0fj1KlTdX9yU0vA7GHHcI5kIyIi0homSIamuJkt/a5u4yAiIqrHmCAZGsdm0n3ytcrLERERkdqYIBkal9bSfeJF3cZBRERUjzFBMjSuftJ9QpRu4yAiIqrHmCDVkE5HsQGA58Pzxp0BCnJ0EwMREVE9xwSphnQ6ig0AHHyk4f5FBcDdCN3EQEREVM8xQTI0MhngHSQ9vnVMt7EQERHVU0yQDFGTh81sCWd1GwcREVE9xQTJEDk2l+4f3NRpGERERPUVEyRD5Ogj3afEcE02IiIiLWCCZIjsvaX7/EwgO1m3sRAREdVDTJBqSOfD/AHAxBywcpEep8fpLg4iIqJ6iglSDel8mH8xWw/pngkSERGRxjFBMlQ2DxOkDCZIREREmsYEyVCxBomIiEhrmCAZKlt36Z4JEhERkcYxQTJUto2leyZIREREGscEyVDZsAaJiIhIW5ggGariGqSMeN3GQUREVA8xQTJUxX2Q8tKBvAzdxkJERFTPMEGqIb2YKBIAzGwAM1vpMZvZiIiINIoJUg3pzUSRwKMlRx7E6DYOIiKieoYJkiFz8ZXu71/SbRxERET1DBMkQ+bSWrq/f1m3cRAREdUzTJAMGWuQiIiItIIJkiErWYMkhG5jISIiqkeYIBkyRx9AJgcKsjgfEhERkQYxQTJkchPA0kl6nJWk21iIiIjqESZIhq44Qcp5oNs4iIiI6hEmSIauOEHKTtZtHERERPUIEyRDZ+kg3WezBomIiEhTmCAZOmUNEhMkIiIiTWGCVEN6sxZbMQtH6Z5NbERERBrDBKmG9GotNoCdtImIiLSACZKhYydtIiIijWOCZOgsi5vYWINERESkKUyQDB07aRMREWkcEyRDZ8lO2kRERJrGBMnQFY9iK8gCCnJ1GwsREVE9oVaCtG3bNvz777+ajoXUYW4nLVgLcCQbERGRhqiVID355JP46quvNB0LqUMmY0dtIiIiDVMrQXJxcYGDg4OmYyF1cag/ERGRRqmVIIWEhODkyZMQQmg6HlIHEyQiIiKNUitB+uijj5CUlISZM2ciN5cdg3XO4mFtHvsgERERaYSxOi/6/fffMXToUHz99ddYv349HnvsMXh5ecHc3LxMWZlMhnnz5tU6UKqEbWPp/kGMbuMgIiKqJ2RCjXYyIyMjyGSyajWxyWQyKBQKtYLTZ+np6bCzs0NaWhpsbW11G0zk78DWlwGvIODFnbqNhYiISI9V9/tbrRqkVatWqR0YaUHjQOk+LhJQFAByE52GQ0REZOjUSpAmTpyo6TioNpxaAGZ2QF4akHgRcG+v64iIiIgMGmfSrg+MjIDGnaTHd8N1GwsREVE9oFYNUkknT57EoUOHEBcXB5lMBnd3d/Tu3Rtdu3bVRHxac/v2bYwfPx6JiYkwNjbGvHnzMHr0aF2HpT6PTsCNMCAhSteREBERGTy1E6QrV65gwoQJOHXqFAAoO2zLZDIAQNeuXbF27Vq0bNlSA2FqnrGxMb744gt07NgRiYmJCAgIwNChQ2FlZaXr0NRj5yndZ9zTbRxERET1gFoJUnx8PIKDg3Hv3j14eHhg9OjRaNq0KQDg1q1b2LhxI06cOIGQkBCEh4fD3d1dkzFrhLu7uzIuV1dXODo64sGDB4abIFm7SvdZibqNg4iIqB5Qqw/Sxx9/jHv37mHmzJm4ceMGli9fjunTp2P69OlYtmwZbty4gVmzZiE+Ph7/+9//1Ars4MGDGD58ODw8PCCTybB169YyZVasWAEfHx+Ym5sjMDAQhw4dUutc4eHhKCoqgqenp1qv1wvWbtJ9JmuQiIiIakutBGnHjh3w9fXF559/DlNT0zL7TUxMsHTpUvj6+uLvv/9WK7CsrCx06NAB33zzTbn7N2zYgBkzZuC9997DmTNn0Lt3bwwZMgSxsbHKMoGBgfD39y9zi4uLU5ZJTk7GhAkT8MMPP1QaT15eHtLT01VueqW4BinzPsAlYIiIiGpFrYkizc3NMWrUKKxbt67ScuPGjcOmTZtqvRyJTCbDli1bMHLkSOW2bt26ISAgAN9++61yW5s2bTBy5EgsXry4WsfNy8vDgAEDMGXKFIwfP77SsvPnz8eCBQvKbNeLiSIBID8b+N/Dpsx3bgPmehATERGRnqnuRJFq1SDZ2tri9u3bVZa7ffu2VpKH/Px8REREYODAgSrbBw4ciKNHj1brGEIITJo0Cf369asyOQKAuXPnIi0tTXmrzvXXKVNLwMRSesw12YiIiGpFrQQpKCgIR48exb///lthmR07duDIkSPo0aOH2sFVJCkpCQqFAm5ubirb3dzckJCQUK1jHDlyBBs2bMDWrVvRsWNHdOzYEVFRFQ+RNzMzg62trcpN71g6SfdZybqNg4iIyMCpNYrtnXfewY4dOzBy5EiMHTsWY8eORdOmTSGTyRATE4N169bh999/h1wuxzvvvKPpmJWKpxQoJoQos60ivXr1QlFRUY3PGRoaitDQUP1cX87SEUi7DWQzQSIiIqoNtRKkoKAgrFq1ClOnTsWaNWuwdu1alf1CCFhYWOCHH35A9+7dNRJoSc7OzpDL5WVqixITE8vUKmnatGnTMG3aNGUbpl6xdJbumSARERHVitoTRT7//PMICQnBjz/+iMOHDytHhnl4eKB3796YPHmy1obNm5qaIjAwEHv27MGTTz6p3L5nzx6MGDFCK+c0CMVNbEyQiIiIakWtBOmrr76CpaUlXnrppXJHdmlCZmYmrl27pnweExODyMhIODo6wsvLC7NmzcL48ePRuXNnBAUF4YcffkBsbCxefvllrcRjEJQJUpJu4yAiIjJwaiVIs2fPxtChQ/HSSy9pOh6l8PBw9O3bV/l81qxZAICJEydi9erVePbZZ5GcnIyFCxciPj4e/v7+2LFjB7y9vbUWE6DvfZBYg0RERKQJas2D5OnpiR49emDDhg3aiMkgVHcehToV/jPw90zA93Hgud90HQ0REZHe0eo8SIMGDcLhw4eRn5+vdoCkBdaNpPuMuMrLERERUaXUSpAWLVoEuVyOcePGIT4+XtMxkbrsmkj3qXo2iSUREZGBUasP0ty5c9GhQwds3rwZ//zzDwICAuDl5QVzc/MyZWUyGVauXFnrQPWFXvdBsn84ajA7CSjIAUwsdBsPERGRgVKrD5KRUfUrnmQymX4mE7Wkl32QhAAWewL5GcBr4YBzS11HREREpFeq+/2tVg3S/v371Q6MtEgmk5rZ7l8EUmOZIBEREalJrQTJwcEBRkZG8Pf313Q8VFv2nlKClHZH15EQEREZLLU6aXfs2BFvvPGGpmMhTSjuqJ3GjtpERETqUitBcnR0hLu7u6ZjMQihoaHw8/NDly5ddB1K+ewedtTmSDYiIiK1qZUgde/eHVFRUZqOxSBMmzYN0dHROHXqlK5DKZ+9l3TPJjYiIiK1qZUgffjhh7h8+TI+//xzTcdDtWX/cKmVew0zgSUiItIEtTppX7x4Ec8//zzeeust/PLLLxg2bFiF8yABwIQJE2oVJNWAW1vAyATITQP+ngUMW6briIiIiAyO2vMgyWQylHypTCYrU04IwXmQdGHHm8DJHwC5GfBuHCBXKw8mIiKqd7Q6D9IHH3xQbkJEemLwJ8DptUBhLpB6C3BqruuIiIiIDIpaCdL8+fM1HIbh0OulRooZGQFOLaV+SElXmSARERHVkFqdtBsyvR/FVqx4Fu3kq7qNg4iIyADVunNKZGQkTp06haSkJLRt2xZPPPEEACAvLw95eXn61z+noXD0ke4fxOg2DiIiIgOkdg3SxYsX0b17dwQGBuLll1/G+++/j61btyr3//zzz3BwcMDOnTs1ESfVlMPDBCmFCRIREVFNqZUg3bp1C3369MHJkycxYsQIfPrppyg9GG7MmDEwMTHBpk2bNBIo1ZCyBumGbuMgIiIyQGolSAsWLMCDBw+wZs0abN68GbNnzy5TxsHBAX5+fjh27FitgyQ1ODaT7lNvA4oC3cZCRERkYNRKkHbt2oVOnTph/PjxlZbz9vZGXFycWoFRLVk3AozNAaHgwrVEREQ1pFaClJycjObNqx46LpPJkJubq84p9JbeL1ZbzMgIcGgqPU5mMxsREVFNqJUgOTs7Iyam6s6/Fy9eROPGjdU5hd4ymGH+gLTsCADcjdBtHERERAZGrQQpODgYEREROHLkSIVl/v77b1y+fBkDBgxQOziqJe8e0v3VXUDNV5QhIiJqsNRKkObOnQsTExMMHz4cK1euxP3795X7MjMz8euvv+KFF16ApaVluR24qY74Pi71Q7obAVz+V9fREBERGQy1FqsFgE2bNmHixInIycl5dLASC9iam5vj119/xZNPPqmZSPWMXi9WW9Le+cDh5YBPMDBxm66jISIi0qnqfn+rPVHkqFGjcP78ebz++uto06YNLCwsYGJigmbNmuH//u//cPbs2XqbHBmUTg9HGt46CuRl6DYWIiIiA1GrpUaaNm2KL774QkOhkFY4NQfsPKWh/vFngaa9dB0RERGR3uNitQ2BewfpPi5Sp2EQEREZCiZIDUGjdtJ9YrRu4yAiIjIQTJBqyGAmiizJqYV0/4AL1xIREVUHE6QaMqiJIotx4VoiIqIaYYLUEBQvXJuZAORn6TYWIiIiA8AEqSGwcJBuAJvZiIiIqoEJUkNRXIvEZjYiIqIqMUFqKJQJ0nXdxkFERGQAqjVR5Nq1a2t1kgkTJtTq9aQBDk2l+5RbOg2DiIjIEFQrQZo0aRJkMlmNDy6EgEwmY4KkD4oTpFQmSERERFWpVoL0wQcflEmQrl27hnXr1sHa2hoDBw6El5cXACA2Nha7d+9GZmYmnn/+eTRv3lzzUVPN2XtL9yk3dRoGERGRIahWgjR//nyV55cvX0a3bt0wadIkLFu2DPb29ir709LSMGvWLGzevBnHjh3TVKxUGw4PE6TU20CRAjCS6zYeIiIiPaZWJ+25c+fCxcUFP/30U5nkCADs7Ozw448/wtnZGXPnzq1tjKQJto0BI2OgqABIj9N1NERERHpNrQTp4MGD6Nq1K4yMKn65kZERunbtioMHD6odHGmQkRyw85Qesx8SERFRpdRKkPLy8hAbG1tludjYWOTn56tzCr1lkGuxFStuZuNINiIiokqplSAFBgbi6NGj+OOPPyoss3HjRhw5cgSBgYFqB6ePDHIttmLKof43dRkFERGR3qtWJ+3SFixYgMceewzPPfccVq1ahdGjR8PLywsymQy3bt3Cxo0bsXv3bsjl8jIdvEmHikeysYmNiIioUmolSMHBwfjzzz/x0ksvYdeuXdi9e7fKfiEEHB0d8cMPPyAkJEQTcZImcLJIIiKialErQQKAESNGoH///ti4cSMOHz6MuLg4CCHg4eGBXr16YfTo0bCxsdFkrFRbDpwLiYiIqDpkQgih6yAMUXp6Ouzs7JCWlgZbW1tdh1M9WcnA0odrsr2XAJhY6DYeIiKiOlbd728uVtuQWDoCpg9r9VKrHoVIRETUUNUqQfr3338xcuRING7cGGZmZnjxxRdV9s2aNQtxcZyUUG/IZBzqT0REVA1qJ0ivvvoqhg0bhm3btiEzMxMFBQUq++3t7fHFF19g/fr1tQ6SNIiL1hIREVVJrQTp559/xnfffYeuXbsiMjISaWlpZcoEBQWhcePG2L59e62DJA3iorVERERVUmsU2/fffw9HR0f8/fffcHJyqrBcixYtcOPGDbWDIy3gSDYiIqIqqVWDdOHCBQQFBVWaHAFAo0aNkJiYqFZgpCVsYiMiIqqSWgmSkZERioqKqiwXFxcHKysrdU5B2mJfopM2Z3ggIiIql1oJUuvWrREeHo7s7OwKyyQnJyMyMhLt27dXOzjSAnsv6T4vHchJ0W0sREREekqtBGncuHG4f/8+pk2bhsLCwjL7hRB44403kJmZifHjx9c6SNIgU0vA2k16zGY2IiKicqmVIL366qvo1asX1qxZgzZt2uC1114DAJw7dw5z5sxBmzZt8Pvvv6Nv376YOHGiRgMmDeBINiIiokqplSCZmJhg586dePnllxEbG4sVK1YAAE6fPo1ly5bh+vXrmDx5MrZv3w4jI07WrXe4aC0REVGl1F6s1tLSEitWrMCCBQtw4MAB3Lx5EwqFAk2aNEHfvn3h4eGhyTg1LiMjA/369UNBQQEUCgXeeOMNTJkyRddh1Q0O9SciIqqUWglSQEAAmjdvjo0bN8LFxQVPP/20puPSOktLSxw4cACWlpbIzs6Gv78/nnrqqSqnLqgXONSfiIioUmq1f12+fBkmJiaajqVOyeVyWFpaAgByc3OhUCggGsqw9+IE6UGMTsMgIiLSV2olSC1btkRycrKmY1Fx8OBBDB8+HB4eHpDJZNi6dWuZMitWrICPjw/Mzc0RGBiIQ4cO1egcqamp6NChA5o0aYK33noLzs7OGopez7m0lu5TbgL5WToNhYiISB+plSBNnjwZBw4cwKVLlzQdj1JWVhY6dOiAb775ptz9GzZswIwZM/Dee+/hzJkz6N27N4YMGYLY2FhlmcDAQPj7+5e5xcXFAZAW1D179ixiYmLw22+/4d69exXGk5eXh/T0dJWbwbJyfjjUXwCJF3UdDRERkd6RCTXblV5++WVs2bIF77zzDoYPHw4vLy+YmppqOj4AgEwmw5YtWzBy5Ejltm7duiEgIADffvutclubNm0wcuRILF68uMbneOWVV9CvXz+MHj263P3z58/HggULymxPS0uDra1tjc+nc788CVzfBwz/EgicpOtoiIiI6kR6ejrs7Oyq/P5WqwZJLpfjxx9/xP379zFnzhz4+vrCwsICcrm8zM3YWO2BchXKz89HREQEBg4cqLJ94MCBOHr0aLWOce/ePWUtUHp6Og4ePAhfX98Ky8+dOxdpaWnK2+3bt9W/AH3g1la6Tziv2ziIiIj0kFrZi6enJ2QymaZjqbakpCQoFAq4ubmpbHdzc0NCQkK1jnHnzh1MnjwZQggIIfDaa69VuiyKmZkZzMzMahW3XnHzl+7vXdBtHERERHpIrQTp5s2bGg5DPaWTNCFEtRO3wMBAREZG1vicoaGhCA0NhUKhqPFr9UrJBEkIQIcJLxERkb4xyGmunZ2dIZfLy9QWJSYmlqlV0rRp06YhOjoap06d0up5tM65FWBkAuSlAamxVZcnIiJqQAwyQTI1NUVgYCD27Nmjsn3Pnj3o0aOHjqIyMMamgMvDPlf32A+JiIiopFr3oL5w4QKuXr2KjIyMCidanDBhQo2Pm5mZiWvXrimfx8TEIDIyEo6OjvDy8sKsWbMwfvx4dO7cGUFBQfjhhx8QGxuLl19+We1raXBc/aTk6P4loPXjuo6GiIhIb6idIO3duxevvvoqrl+/XmGZ4j5B6iRI4eHh6Nu3r/L5rFmzAAATJ07E6tWr8eyzzyI5ORkLFy5EfHw8/P39sWPHDnh7e9f8Ymqg3vRBAkosOWLgI/KIiIg0TK15kMLDw9GzZ0/IZDKMHj0aUVFRiIqKwjvvvIPr169j7969SElJwaRJk+Dl5YUPP/xQG7HrVHXnUdBrp9cC214HWjwGPL9J19EQERFpXXW/v9WqQVq8eDEKCwuxc+dODBgwAC+88AKioqKwaNEiANISHlOnTsXff/+N8PBw9a6AtM/eS7pnJ20iIiIVanXSPnr0KDp16oQBAwaUu9/e3h5r166FkZER3n///VoFSFpk5yndp96WhvoTERERADUTpAcPHqBFixbK58VLjGRlPVr41MzMDL179y4z0szQhYaGws/PD126dNF1KLVn1wSADCjMAbKSdB0NERGR3lArQXJxcVFZrNXFxQUAcOPGDZVyOTk5SEtLq0V4+qfezIMEAMZmgK2H9Dj1lm5jISIi0iNqJUgtWrRQGb3WtWtXCCHw/fffK7ddu3YN+/btQ7NmzWofJWmP/cNRfyk3dRoGERGRPlErQRo6dCiuXr2K8+elCQYHDx4Mb29vfPvtt+jWrRtGjRqFLl26IDc3F5MnT9ZowKRhDkyQiIiISlNrFNuECRNgZ2enXPfM1NQU27ZtwzPPPINTp07h1KlTMDIywksvvYTp06drNGDSMOVcSGxiIyIiKqZWgtSoUSNMnTpVZVu7du1w8eJFXLp0CSkpKWjRooWyb1J9Uq8migQeNbE9iNFtHERERHpErYkiqZ5MFAkA8eeA73sDJlbA2zelNdqIiIjqqep+fxvkYrWkQW7+gJUrUJAFbH+D8yERERFBzSa2F198sdplZTIZVq5cqc5pqC4YGQEDPwa2TAXO/g74Pw20fEzXUREREemUWk1sRkZVVzzJZDLlYrX1pr9OCfWmia3Yv+8AJ74FfIcCz/2u62iIiIi0Qqtrse3fv7/c7UVFRbh9+zZ27dqFDRs2YObMmRg+fLg6p9Bb9a6TdrHASVKCdHUPkP0AsHTUdUREREQ6o7VO2r/++itefPFF7N27F3369NHGKXSq3tUgAcB3vYGEc8CQT4FuU6suT0REZGB03kn7+eefR9u2bTF//nxtnYI0rdN46f7oN4CiQLexEBER6ZBWR7G1bNkS4eHh2jwFaVLAeGlEW1oscHa9rqMhIiLSGa0lSEVFRTh37ly1OnSTnjCxAHq8Lj0+9DmgKNRtPERERDqi8ewlOzsbkZGReO6553D16lUEBwdr+hSkTZ1fBCwcgZQY4PwmXUdDRESkE2qNYpPL5VWWEULAxcUFS5cuVecUpCtm1kDQNGDfR8Dh5UC70dJcSURERA2IWgmSp6encqHa0kxNTeHu7o7g4GBMmzYNrq6utQpQ39TbYf4ldXkJOPwFcP8icOVfoPXjuo6IiIioTnEtNjXVy2H+Je2dL9Ug2TYBph4ErJx0HREREVGt6XyYPxm4XrMApxZA+h3g3zd1HQ0REVGdYoJE5TO3BUb9JD2+sAVIva3beIiIiOqQWn2QFi5cqPYJZTIZ5s2bp/brqQ55dAJ8+gAxB4HTa4F+7+k6IiIiojqh9mK1pTtpFx+m5PbyDl1fFq+t932QikX9CWyaDNh7A9PPAhV0ziciIjIEWl2sdtWqVTh69Ch+/PFHeHl54emnn4aXlxcAIDY2Fps2bcKtW7cwZcoU9OjRQ70rIP3gOxQwtQZSbwG3TwBe3XUdERERkdapVYN0/PhxhISE4O2338YHH3xQZl4khUKBjz76CEuWLMH+/fsRFBSksYD1RYOpQQKALa8AZ3+TJpEctlzX0RAREamtut/faiVIAwcOxL1793D27NlKy3Xo0AFubm7YvXt3TU+h9xpUgnQjDFg7AjC3B2ZfkpYkISIiMkBaHeZ/8uRJ+Pv7V1nO398fJ0+eVOcUeis0NBR+fn7o0qWLrkOpO017AzYeQG4qsHESkJ+t64iIiIi0Su1h/pcuXdJIGUMzbdo0REdH49SpU7oOpe4YyaWmNbkpcGUncHiZriMiIiLSKrUSpF69eiEyMrLSddY+++wznDlzBr169VI7ONIjvoOBESukxyd+AHLTdRsPERGRFqnVB+ncuXPo0aMHcnJy4OvrqxzFJpPJcOvWLWzatAmXLl2ChYUFjh49ivbt22sjdp1qUH2QihUVASu6AUlXgKDXgEGLdB0RERFRjWi1kzYAnDhxApMmTcLly5elAz2cH6f4cK1atcLq1avRvXv9HBbeIBMkAIjeBvwxXno88jug43O6jYeIiKgGtJ4gAVIyFBYWhsOHDyMuLg5CCHh4eKBXr17o27dvmckk65MGmyABwL6PgYNLATtP4I1IQK7WdFpERER1rk4SpIasQSdIBTnAcn8gOwno8TrQ933AxFzXUREREVVJq8P8qzpxeHg4EhISNH1o0hcmFkD3V6THR7+WmtyYZxMRUT2iVoK0e/duvPjiizhz5ozK9hUrVsDNzQ3dunVDkyZNMGfOHI0ESXqo10xg4CJAbgZc3Q2c+VXXEREREWmMWgnSTz/9hA0bNqBFixbKbdHR0XjjjTegUCjQvXt32NraYvny5di+fbvGgiU9YiQHerwG9Htfer7rPSAuUqchERERaYpaCdLp06fRqVMn2NjYKLetWrUKQgisXr0aR44cwZkzZ2BmZoYVK1ZoLFjSQ91fBTwCgLw0YO0TQOptXUdERERUa2olSPfu3UOTJk1Utu3duxf29vYYM2YMAMDb2xt9+vTBhQsXah8l6S+5MTB+C+DeEchNAzb/H1Ck0HVUREREtaJWgmRsbIz8/Hzl88zMTJw/fx69e/eGkdGjQ7q4uOD+/fu1j5L0m4U9MHoVYGoDxB4FDn6m64iIiIhqRa0EqWnTpoiIiFA+/+eff6BQKDBgwACVcsnJyXBycqpdhHqmQS5WWx2OzYDHP5ceH1gCxB7XbTxERES1oFaCNGbMGNy+fRujRo3CV199hdmzZ8PU1BQjR45UlhFCICIiAs2aNdNUrHqhQS5WW10dngXaPwuIImDTFKnJjYiIyACplSC9/vrrCAoKwpYtWzBjxgwkJCRgyZIlaNy4sbLMvn37cP/+ffTt21djwZIBGPoZ4NAUSIsF/noNUBTqOiIiIqIaU3sm7aKiIhw6dAiJiYno2LEjWrZsqbI/LCwMZ8+exfDhw+tdLRLQwGfSrsqdcODnQUBRIeDsC4xZBzi3rPp1REREWsalRrSMCVIVLmwB/p4J5KQA1m7AxL8Bl1a6joqIiBo4nS01QgQAaPskMO0U4OYPZN4DVj8O3L+s66iIiIiqhQkSaY+1CzBhG+DWDshKlJKkW0d1HRUREVGVmCCRdlk5ARO3AY3aA1n3gdXDpHmSiop0HRkREVGFmCCR9lk6Ai/8+3AKAAWw7yPg16e4LAkREektJkhUN8ysgSe/B574BjC2AG7sB77tKXXmJiIi0jNMkKjuyGRAwHhg6gGgcWdpgduNk4BtrwN5mbqOjoiISIkJEtU9F1/gxZ1Ar1kAZMDptUBoN2DfIuBBjK6jIyIiYoJEOiI3AR77UOrAbecFpN8BDn4KfB0ozcDN/klERKRDNZoo8tKlS9i4cSPi4uLQqFEjPPHEE+jUqVOF5VeuXIkjR47g559/1kiw+oQTRWpQfjZw6R8gcp3UNwkAjIyBloOA3rOAJp11Gx8REdUbGp9J+6uvvsKcOXOgUCgghIBMJgMgLVwbGhoKe3v7Mq954YUXsHbtWigUCvWuQo8xQdKS2BPA/o+BmIMPN8gA755AlxeBtk9J/ZiIiIjUpNGZtA8fPoyZM2eisLAQAwYMwJtvvomnnnoKpqamWL9+Pbp27YqYGPYdIQ3w6gZM3A68ehzo8BwAAdw6DPz5IvDbM9JEk1wdh4iItKxaCdLy5csBAN9//z127tyJTz75BBs3bsT58+fRo0cPXLt2Db169UJUVJRWg9WG7OxseHt7Y86cOboOhUpybQM8+R0w7STQew5gZAJc3Q2sGgJ8HQBsfAE4sw5Ij9d1pEREVA9VK0E6evQo/P39MWXKFJXtzZs3R1hYGKZOnYr4+HiEhITg+PHjWglUWxYtWoRu3brpOgyqiIsv0H8e8MpRIGACYGIJPLgBXNgM/PUqsNwPWD8OOLsByEzUdbRERFRPVCtBSklJgZ+fX7n75HI5vv32W8yfPx8pKSkYMGAA/vvvP40GqS1Xr17FpUuXMHToUF2HQlVxaQU88TUw+xIw9g8g+G3AvSMgioBLfwNb/g/4rKU0Cm7LK8DFv4GCXF1HTUREBqpaCZKbmxtSUlIqLfPBBx/g66+/RnZ2NoYPH45t27bVKrCDBw9i+PDh8PDwgEwmw9atW8uUWbFiBXx8fGBubo7AwEAcOnSoRueYM2cOFi9eXKs4qY6Z2wGtBgF935UmnHzlGNBrprTWGwAkXwPO/gZsGAcsbQFs/j/gxA9AxBpppBwnpCQiomowrk6hli1b4sSJEygsLISxccUvmTZtGuzt7fHCCy9g9OjR8PT0VDuwrKwsdOjQAS+88AJGjRpVZv+GDRswY8YMrFixAj179sT333+PIUOGIDo6Gl5eXgCAwMBA5OXllXnt7t27cerUKbRq1QqtWrXC0aNcYd5gufkBbvOBx+YD2Q+AuxHA9f1A9FYg/S5wboN0KyY3Bdz8AUcfwN4bsHYFmvYG3NpyhBwRESlVa5j/J598gnfffRe///47nnnmmSoPumPHDowePRq5uVITR22H+ctkMmzZsgUjR45UbuvWrRsCAgLw7bffKre1adMGI0eOrFat0Ny5c/Hrr79CLpcjMzMTBQUFmD17Nj744INyy+fl5akkW+np6fD09OQwf31VVATcOQVc2g6k3AIK84Cky0DKzfLL27gDLR4DnFoAdk0A28aAYzMpgWLiRERUb2h0HqTLly+jf//+8Pf3x86dO6sVwJEjRzBs2DCkp6drPEHKz8+HpaUlNm7ciCeffFJZbvr06YiMjMSBAwdqdPzVq1fj/Pnz+OyzzyosM3/+fCxYsKDMdiZIBkQIqQnu/iVpSZO021KH75tHgMKc8l9j4QC4dwCcW0kj6ZqFAD59ABPzOg2diIg0o7oJUrWa2Hx9fXHnzp0aBdCzZ88q+y2pKykpCQqFAm5ubirb3dzckJCQoJVzzp07F7NmzVI+L65BIgMikwHOLaVbSYV5wI0wqcYp5SaQHgek3ZESqJwUad+NMKns8VDAxArwHQw4+wJ2D2uamnSRlk8hIqJ6oVoJkro2btyIhIQEvP7661o5vqxU00fJGb5rYtKkSVWWMTMzg5mZWY2PTQbA2Ezq+N1qkOr2ghzg/mWpX1PabSDrPnBtH5ARB5zfpFrWyARw8AYaBwKe3QCPjoCrH2BiUWeXQUREmqPVBGnZsmU4efKkxhMkZ2dnyOXyMrVFiYmJZWqVNC00NBShoaH1cvkUKsXEQkp0PDo+2iYEEHsMiPpTSpjSbgPJ14G8dKn5Lvnao07hMiOpaa5Re8C9vXTfqB1g6aiLqyEiohrQaoKkLaampggMDMSePXtU+iDt2bMHI0aM0Oq5p02bhmnTpinbMKmBkckA7x7SrVhRkTRiLukKcPsEcPskkBAFZCdJ/Z3uXwKi/nhU3s5LSpSKkyb39lKncHYGJyLSG3qbIGVmZuLatWvK5zExMYiMjISjoyO8vLwwa9YsjB8/Hp07d0ZQUBB++OEHxMbG4uWXX9Zh1NQgGRkB9p7SrUV/aZsQQEYCkHAOiD8HJJyV7lNvAWmx0u3yP4+OYeFYImHqIN07NQeM5Lq5JiKiBk5vE6Tw8HD07dtX+by4g/TEiROxevVqPPvss0hOTsbChQsRHx8Pf39/7NixA97e3roKmegRmQywdZduJfs25aQC984/TJoeJk/3LwE5D1Q7gwPSsipubVWb6Fz9OIKOiKgOVGuYv7qCgoJw8uTJetVfp2QfpCtXrnCYP9VeQS6QGF2itukccO8CUJBdtqxMDri0fpgwtXvUr8nCvs7DJiIyRBqdB0ld9TFBKlbdN5hILUUKqfN3wjkg/uyj5CnnQfnliye2dGwGuLaROoc7tQDsPKUmQCIyPHfCpbnYnJrrOpLauXUMuHUE6DYVMLPRdTSanQeJiOqYkVxaoNelFdDuaWmbEFJn8JLNcwnnpJF06Xel281S6xGaWAEOTQGnZlLNk0trwMVXSp44BQFpU2EekJcBZCdLozutXICzvwORvwHG5tL0GvbegFc3IPYE0HakNDL0/GZpNnu5CRB7HJCbAY0DpAlarV2lgRB3T0uvt3KRpuNwbgVYOUvTcijypfPnZUg/+006P2rKNjaXlhsqyJJ+n0wsAdfW0rxnVi6AqbVUGyuKpPIAYOkEmNtL/QcVBUB+pnSe4v1mtlItbn6m9I9K40Dp99fSGTi7Hrh9XPrHxau79I9P9gPpeV46UJgLeAVJv4syOZARLw3uyLwPnFuv+n66+UvviV0TwNhC+tuQnyW9ZxYOUuyiSJrLzcFHOodQSP0bjU2BmIPAraPS+1eSpRMwYKEUR1GhdG3HvwViSy3BFfw2kJkozRfnN0IaqJIQJb03iRekf+SSb0jX1HKAdNzzm6VpUYrt+0j1mO3HAHFnpJG99t5S/8t9H0ufT9PeQL95QCN/wNRK3Z/CWqlWDZJcXruOoqxBItKi7AdSbdODG0DyVSDxovRHLvXWoy+LMmTSl4dHJ6BZMODe8eEfYP7PRKUU5ErJd9od6T47WfoizsuQFn8uzJEeZyVJt/xMKTnKeVDJzx9RNT31I9C+6iXOakKjNUi1aYVTZ+JGfcZ5kEjvWDpKN88uqtsVhUBKjLSsSvESK8X/+eamSvtSYoALm6Xy5nZAs77SciqthwHWLnV9JaQrhXnA6bVSjWTmfem//+xkaZLUrMS6icGhacVrJQIPm5paAndO1uy45vZSAmdsLtVMVMbIWKpFqS0TS6mmKje16rIenaRzZt4HMrWzEkS1GJtLNVk51VwBQ1PvVVXnKL3yQR3Sah+k+ow1SGSwhJCqyu9fBGIOAXfDpWru3LRHZWRGQPN+UlV6myfYCby+uX8Z+Okx6WchP6Pq8iaWUtOOXROp6UhmBJjbSs06JhZSE4iVi5RYmdlKzV/FTbgmltIXXeotaVCBiTmQny39zBXPJ1beP9IFuY++hEuP3CwqevSa8l5bpJCaw+QmqlNlJF+XYrNrIiVNptZSjZexRfVrT4WQzln08J9kIzlQmC9tk5s82l8sM1G6DiO59E9IQS4AUb0m7ltHgZM/AC0GSLV3XkFSIikU0vmFePS7KTOSmth9+gC56dI0I65tpPcfAIoKpBq+3DRpOSUjI+k98O4pNV2WvL6cFClpvhsu/YPl1V1q/kq787CJz0y1fPG9KHr0fstk0qhdUQSE/wyc+gnoPVtKHNsMlxLe/KxH8dVhX0m96KRdnzFBonqlSCFNcHnzEHB5h/TlVUxuBrR4DOjyIuATwmY4Q6IoBBR5wKV/gL9nSslAVeSm0pdm4wDpi9nFV/oyq2etAdRwMUHSMiZIVK8lXwfO/AJc2SVNQVDM0kn6L9ajk/SfrJu/1OGbSVPNlK5lUFd+ltQHTSaTmk6v7Aau7gJSbgGowZ92z27A0M+k6SOI6jkmSFrGBIkaBCGkTt8Rq6QFerOTy5YxNpcmsHRqIY3mMTYDrN2kanmbRrU/f16GNCeUlathTlmQfF2qkbP1kEYXXfobCFsijTJy8JaaGEytpdE/l/4GMu89eq2Vq9Sk8eC61KxUPLorL11qAsmIVy8mIxOg84vSOoON2kk3ogaCCZKWcKJIarAUBdK8LHdOAveipQ61985X3GxjbA6EzAWa9pKGPyddluZDcWohfcGnxEh9P5KuSP1TMhOlUVEW9lJ/lqJCKTlT5EnHM7UBzKylpEtu+mhYdnF/FxMLKdkQQkqo5CZSWUWhFGN+plTjIjOS+syYWknTIBTmSNssHKVRV7mpUjJiain14yjMAyCk4eSKfOm5okB6rHj4WLkt7+H2AqnfCQSQGlsnH0+F7L0Az+7SNQa/JSVmbC6jBowJkpaxBokIUiKREiPNhxJ/VpqTqTAXuH9FSohIYuEo9fPKe9gR3raxNPKwuCOtEGXnsCpm4y5NrpebBrR9Spo00NRK6heUkSAdy8VXSuDS7z6cM0YmzY/TapCUKBKREieKJCLtMzKSvrCdmksT/RUTAji8DAhfJSUGmQlSrU/LAVL/GCNjwLOrVNNi4y6tOWfjJo2Ayn4gNR0VZEt9Y2w9pNqPBzFSLVBWklRTk5koJQWFudJ9QY5UGwSZVJtUmCc1V8lNpaTBzEa6F0VSTVJxjRIgNTllJ0k1UGa2AIR0XBv3R6NsTMwfTjRoJiUdclOp9kpuUv42RcHD0V52Uq0ZAFzcLo3+ahainc/DtbV2jkvUALEGSU2sQSKqgeKmLc7eTUQ6xhokItIfOloqgIhIXQY4JES3QkND4efnhy5dulRdmIiIiAwSm9jUxCY2IiIiw1Pd72/WIBERERGVwgSJiIiIqBQmSERERESlMEHSM5/tuoym7/yDLov2Ii2nQNfhEBERNUhMkPTMpYR0AMD9jDws3B5dRWkiIiLSBiZINaTtYf6mxo8+kmv3K1jjioiIiLSKCVINTZs2DdHR0Th16pRWjm8qf/SRpGTlI/J2KjgTAxERUd1igqRnStYgxT7IxsjQI/gj/LYOIyIiImp4mCDpGRN52Y9k1ZGbdR8IERFRA8YESc8oiso2pxnJZDqIhIiIqOFigqRnChRlEyQO9yciIqpbTJD0TIGiqMy2hPTccrcTERGRdjBBMgCKIoGnvzuG+xl5ug6FiIioQWCCpGfaepS/svDZ26n4+J9o3EzKquOIiIiIGh5jXQdgaEJDQxEaGgqFQqGV40/q2RRRd9Pw97n4Mvv+iozDX5FxAICmTpb4eVIXNHOx1kocREREDZlMcBZCtaSnp8POzg5paWmwtS2/1qc2mr7zDwDA2doMuQUKZOYVlinzRAcPfPVcJ42fm4iIqL6q7vc3m9j03JTePji/YBC8nSzL7Nt2Ng7BS/fjy71X8VfkXR1ER0REVD+xBklN2q5BiriVgh1R8Xi9XwvYW5riyLUkfL3vKl4JaQFvR0u8tzUKR64lq7ymd0tnzH+iLZqz2Y2IiKhc1f3+ZoKkJm0nSFW5lZyFdzZF4diN5DL77C1NMLarF14JaQ4bc5M6j42IiEhfMUHSMl0nSMWKZ97+8dANLPn3Upn9v73UDT1aONd1WERERHqJCZKW6UuCVFJ8Wg5W7L+OrWfuIqNEp25bc2O80b8lxgd5w8xYrsMIHxFCQAjAyEiGxPRc5BQoMPWXCAz0c8Osgb66Do+IiOopJkhapo8JUkmXEtIx+ItDKttszI3Rp5ULpvZphnaN7SDT0Rpv+YVFaPX+vxXuPz63P1xtzGBkxDXoiIhIs5ggaZm+J0jFLiWk47uw69j6cP6kYjZmxhgV2ATD2rujo6c9jOV1N6Bx+Z4r+PK/q5WWeaFnU3w4vG0dRURERA0FEyQtM5QEqVhaTgG+/u8qfjocU+7+Zzo3wRv9W6KxvYXWa5YCP9qD5Kz8Ksv9/XovtPWw1VlNFxER1T9MkLTM0BKkYkII3EnJwQ8Hb2Dz6TvIyledEdzGzBjvD2uD/m3cIJfJcPLmA9xJycEQ/0bwsLfQSAzVTZAAoE8rF4zv7o0Bfm4aOTcRETVsTJC0zFATpJIycgsQcSsFa47exP7L96ss/3g7d3w80h/2liZq1+ooigSav7ujxq+7uHAwLEz1o4M5EREZrup+f3MttgbMxtwEIb6uCPF1xYOsfCRm5GLrmTisO35LZRRcsX+i4vFP1KM14lo3skHouAC42pjBxtwEiiKBfZcSEfsgGxfj0/FnxB0AwBv9WmBsN280sjNXe8bvu6nZaOFqo96FEhER1RBrkGqo5GK1V65cMegapIoIIZCYkYcv/7uKfRcTkZCeq5HjmsqNkK8oUvv147p54fnu3mjjXvb9zi1QwNhIhpTsArjYmNUmTCIiqsfYxKZl9aGJrboKFUXIyC1EXmERDl65j//9exGp2QU6i6eTlz06NLHH2TupeK1vC3y17xrO3k5V7n93aGv8X5/mOouPiIj0FxMkLWtICVJFcgsUOHjlPt7dch6ZeQVwtDTFjMdaIaS1C0yMjLDp9B38EX4bV+5lVnms4R08YG5shI0Pm+Vqa9trPdG+iX25+9JzC2D7cAmW307E4mZyFuYOac3RckREDQATJC1jglQzWXmFeG9LFLZGxqF9EzuYGRth6dMd8PmeK7iemIkt03pALpOhxXsVTyBZW31aueDgFakzuputGbr6OGH7WWl+qE2v9ECgt0OFr01Mz8XmM3fxTGdPOFqZai1GIiLSLiZIWsYEST1FRaLMDNlCCGXtTdN3/gEArBgXgFfXna7T2MZ288JjbVzRpaljmUV+i+MCgEsfDYa5CUfUEREZoup+f9fd9MlEQLnLh5Rs2lr7Yle8/3gbDPFvpNIZe82LXbHplSCtxvbbiVi8uDoc72yKUtl+9HqSyvN/z8eDiIjqNyZIpFf6tHLBS72bQSaTYc0LXbByYmfELB6K4FYuCPR2xDdjO6mU79faFb9O7oYAL3uYGhvhiQ4eKvuHd/DAgifaoibLuv0TFY/1J2OVz8/Epqrsv5WcrfI8KTMPBbUYnUdERPqHTWxqYhOb7hQqirDp9B0Et3JFIztzAFIznaJIVLqmXH5hEf634yJWH71ZrfO0a2yH/+vTDL8cv4WTMQ9U9g1q64Z3h7ZBUmY+Rn17FK42Zvj06fbo09JFWUuWW6BAXkERzt5JhaOVKfwb26l3wUREpDHsg6RlTJAM14kbyXj2h+PK5+O6eeHwtaQyNUPq2vhyEHLyFZjw80mV7TGLh3KkHBGRjjFB0jImSIbtbmoORnxzGEP83fHRSH/kFiiQkJaLkM/CtHbOaX2b481BrXEy5gGm/hKOzLxC/DChM/r6ugIAEtJyEXU3DY+1cWUiRUSkJUyQtIwJkuEr/tEvmYzM3BCJo9eTsGtGHxy5loz9lxNhZ2GClYdjNHLONwf5YumuyyrbJgR5Y3r/lgj8eC8A4MsxHTGiY2McvZ6EPyPuYN7jfnDg1AJERBrBBEnLmCDVX4oiAXmpXt13U3PQc8m+Ojm/pakcy5/tiKm/RAAAerd0xi+Tu6mUEULg1M0UWJrKlX2bpq07jcSMXKz/v6Ay8RMRkYSL1RKpqbzkorG9BY7P7Y/L9zIwY/0ZtHC1RlsPO3Rp6ojH/FxxPyMPofuv4/cSo9/UlZ2vUCZHAHDoahLWnbiFsV29IJPJcP5uGp75/hiy8xUApHmZTOVGyoWEL8anw7+xHRRFAl/vu4quTR3Ro4Uz8goVkMtklXZkJyIiCWuQ1MQaJKpIWnYBzE2N8Mep25j31wWNHbethy3+eaO3yqSVABDx/mMQADo/bKIrXmZly5k7mLnhLADg8seD0e1//8HZ2gx7ZwUDAGKTs3EnNRtdmzoyaSKiBoM1SEQ6YmcpzcI9PqgpnuniCQBIzS5A+M0U7LqQgG0PlzepqQtx6fj1+K0y27efjcP87dHK55/uvIy1L3bFX5GPzjN+5UmkZhcgNbsAb/15FpN6+GDoV4cAAPaWJjgzbwA7hqshJSsfJsZGsDYr+6f0QVY+EjNy4W5nATsLk3JeTUT6jDVIamINEqkrJSsf9x5+cd5MysKI0CMaP8fkXj416lj+6dPt8UxnzzLb/7t4D8v2XMGiJ9uho6e9BiM0fFl5hWj74S4YyYAbix9X2ffr8Vt4f+t5AICDpQnOfDBQFyESUTm41Eg1GBsbo2PHjujYsSNeeuklXYdDDYSDlSlaN7KFnYUJOnja4/r/huLXyd0wqUdTbHw5CAP83Gp9jpqOulu+50qZbXuj72HymnBciEvHSC0kcYbu+v1MAECRkNYYBKSk6VpihjI5AoCU7AKdxEdEtdOgm9js7e0RGRmp6zCogZMbydCrpTN6tXQGAHRp6ojcAgXkRjIIAXz0dzT+PZ+ApMw8rcWQnqP6JZ6eW4CX1oZr7Xz1TUFREcyM5Hj51wgcuppU9QvqmV0XEiAEMNi/ka5DIdKYBl2DRKSvzE3kMJEbwdTYCB+N9Ef4+48hZvFQxCweihXjApTl7C0107clK1+Bpu/8o6wVeXHVqTJlNp++o/JcCIGSLfRFRarP66ur9zIwZW24SiKUW1CEQkVRhcnR4C8OIlZDM7Xrm5yHoy5f/jUCGbnVry07dycVn+++jNwChVbiSs8twM7zCcgr1M7xqf7T2z5IBw8exNKlSxEREYH4+Hhs2bIFI0eOVCmzYsUKLF26FPHx8Wjbti2++OIL9O7du9rnMDU1Rbt27WBhYYFFixYhODi42q9lHyTSpTsp2UjPKYSfhy3+t+Mi0nMK0KWpI2ZvPFvrYw9t1wg7ohLK3dfZ2wFD27njdko2Vh25CW8nS8wa0AqLd1xCQnou3hnSGr1aOKOth2297fTdYcFupOWUTQRauVnjyr3MCl/XycseW17tqc3QdCI1Ox8dF+4BAOyd1QctXG2q9bri0ZgzHmuJGY+10mhMx64nY/YfkYhLy8VLvXzw/jA/jR6fDJvBj2LLyspChw4d8MILL2DUqFFl9m/YsAEzZszAihUr0LNnT3z//fcYMmQIoqOj4eXlBQAIDAxEXl7ZZondu3fDw8MDN2/ehIeHB86fP4/HH38cUVFRFb5ZeXl5KsdKT0/X0JUS1VwTB0vAQXr87tA2yu1WZsawMpOjjbstbMyN8fuJWJURbtVRUXIEAOG3UhB+K0X5/FZyNqavj1Q+X/LvJQCPZgOvj8pLjgBUmhwBwM2kLG2Eo3P5hUXKx2N+OI7w9wdUWHZTxB1E3U3DByUSlkvxGVWeIyEtF8v3XMHEHk3h51H5P6TRcel47sdHay3+EX6bCRKpRW8TpCFDhmDIkCEV7l+2bBkmT56s7Fz9xRdfYNeuXfj222+xePFiAEBERESFrwcADw8PAIC/vz/8/Pxw5coVdO7cudyyixcvxoIFC9S5FKI6U7oPyKSePni8vQecrExh9HACzFM3H+DfqAQ80dEDNubGeGHVKcQ+0Gzzz/T1kTgTm4q3BvvC0lRv/8zUiBCiVrViBQq9rKyvtbwSCVJSZj5+PxmL07dSsGRU+zKTrhbXcJ6MeaDcVvyWJqbn4ov/riI3X4HIO6kY1LYRHm/nDjdbc7yz+RzCLt/HhvDbuLlEdcRgSTn5ijJNwUacVZ7UpLdNbCXJZDKVJrb8/HxYWlpi48aNePLJJ5Xlpk+fjsjISBw4cKDKY6akpMDS0hJmZma4c+cOevbsiTNnzsDR0bHc8uXVIHl6erKJjQzejfuZ+OHgDdxNzSm3D003H0ecKPGFVhOOVqbYM7MPnKzNahumxl25l4FTNx9gTBevKpdmSczIxZOhR/FUQGN8ve+aWuczNTbClY8r/qdP3+XkK/D+1vM4ePU+pvT2gZejFYKaO+H6/Uw8teJomfLfjO2EYe2lf0JPx6bg9d/O4G5qTrnHfrJTY2TkFmLvxXtVxrFwRFuM7+6tkqwKIaAoEhj4xUHcuF+2pm75sx3wZKcmFR7z36h47LqQgBd6+sDbyRL2llz7sD4z+Ca2yiQlJUGhUMDNTXU4tJubGxISKm4eKOnixYuYOnUqjIyMIJPJ8OWXX1aYHAGAmZkZzMz07488UW01c7HGklHtAQAZudKEli3drOFqYw5TY2kcx1+RdxG6/1qVzUilPcjKR+DHe9GvtSu+ez5QeTx9MHD5QQDA2dup+CP8Dp7r6onFT7Uvt+zKwzG4m5qjdnIESE1Rb248ixau1tgaGYfx3b0xtpuX2sera2uO3cSmh7Uz/9txqcrya4/dwvI9V9DB0x6bT9+ttOyWM5XvL+mDvy5g/6VEzB3aBhm5hTgTm4Kluy6r1GSVNnPDWfRv4wZb8/IHNbyy7jQAYGtkHJytzRD+/mPVjofqL4NMkIqVru6uSRV4jx49EBUVpY2wiAyWjbkJ+rZ2LbN9RMfGGNS2EZ778TjOxKbi8Xbu+PyZDsjOV2DAsgNIzsqv9Lj7LiWi1fv/4unAJnglpDncbM3LnX26rhQqHn2Z/hEufen/fvI2Fo7wh0mpZVfScwvw/YEbGjnvxohHzT/vbokyqASppn2oipvRrpdTo1Nb+y/fx/7L92v0mgeZ+Yi5n4XfTsRiziBfuNiYITEjF29uPKdSLikzDwu2X8D0/i3VrknafSEBG07dxqdPty9Te/pvVDw2hN/Gsmc6wtGKNVX6zCATJGdnZ8jl8jK1RYmJiWVqlTQtNDQUoaGhUCg4dJQaFnMTeZlRWOYmcpx4tz9avPevctu7Q1vDx9ka3x24jogSHboB4M+IO/izRJLQzNkK7vbmeL1fS7RwtcbF+HSkZBdALpOhpZs18guL4N/YDoD0D9Dha0lo39geh68loUtTB7jamtf4Oi4lpGPwF4fK3Rd+MwVBzZ1Uti36+2KNz1FduQUKnL6VgtgH2bC3NMVjbVz1cl28vEIF1p+6reswaiXkszDl4/uZeZjapxlWHbmJA1fKJlqrjtyEtZkxXurdDFl5hfCwt6jy+KdjU3DtXiae6eKJ/3u42HTgx3ux6ZUeCPR2UJYrrq1auutShTWWpB8Msg8SAHTr1g2BgYFYsWKFcpufnx9GjBih7KStTRzmT/TIzvMJiLydircG+ap0is0rVGD9ydv4cJvmFu0tZm1mjCIhENTMCd8+H4j03ALcuJ+FVUdiMDW4OU7FPEBcWg4mBDWFj7MVUrPz8cnOy9gTfa/SSTf3zQ6GidwImXmFiEnKwqsPv9Dqgn9jW/Rq4YJWbtYoVAjYWpggI7cAXo6WSMkuQEdPe6Tm5CM6Lh0yGSAEYCI3grGRDBm5hcgrVCAjrxDZeQrkK4qQX1iEvEIFsvIUyC8sQoGiCHkPt+UWSPsLi4qgKBIoLBLK+6ISz4tf05A9HdgEE4K80b6Jfbn7M/MK4f/hLgDApB5NsfroTeU+e0sTbH+tF6avP4PTsanK7UHNnLBwRFusOxGLqcHN4G5XdRJWmdsPsvHmn2fxf32aoV9r7VYUGLrqfn/rbYKUmZmJa9ek9v5OnTph2bJl6Nu3LxwdHeHl5YUNGzZg/Pjx+O677xAUFIQffvgBP/74Iy5cuABvb2+tx8cEiaj68guLkJqdj9yCIqw9dhN/n4tHQnpunZ3/sTZucLExxe8nDbsWhHTrmc5N8GpICzR1tlLZ/unOS1gRdr3C13X1cVQZuVdaZ28H/PlKj1rF9twPx3HsRjIAVDrSj+pBghQWFoa+ffuW2T5x4kSsXr0agDRR5Keffor4+Hj4+/tj+fLl6NOnj1bjKtnEduXKFSZIRLUkhMD1+1m4EJeGA1fu42J8BjLzCpCcmY/sfDZlV8TU2Agu1mawMTeGhakcdhYmMDM2go25CaxM5TA1lmZiNzOWw9JUDjMTOUzlMpibyGH2cLupsVT7ZCyXQW5kBLlMBrnyuUz5vLBI4NydVLT1sIOPsxXupeciLjUHH/x1AYPaNsIvx28pa+Wcrc2Uj33dbHD5XtXzHBmiAX5u+GpMJyRm5CJ4aVitjiU3kuH6/4bW6DV3U3Nw5FoSRnZsjI//icbaY7eU+w691RcbI+7gmc5NpDnTSkjMyMXPh29ibFcveDlZlj5sg2DwCZK+Yw0SkfZJy5lIc9kkpudCIQQ2n76L30/G4k5KDvzcbREdX/tJW91szeDnblvjjr+a1q+1K54ObII7KdnwdrJCXmERLE3kaOxgAQ97C5gZGyGvoAhmJsWJjf70V8rJVyAjrwCuNuYI3X8N9zPy8OYgX0xffwaD2jbCgu3RyMwrrPD1AV72sDIzbpBr2QHAQD83fPZMB7SfvxuPt3dH6NiASssXz+jext0WFyv4HfB0tMCht/opnyuKBHp9sg/xabnwsDPH0bn9sf5kLDafuYsfxgdqdXoDIQT+PZ8Afw87nSdmTJC0jAkSke4UFQnEJGfBx8lKpc/TnZRsWJkaI/ZBNto3sUN8Wi6szY1x+lYKtp+Nx6jAxjAzNoKxkREsTOUoEgJmxnJ42JtDBhmSs/LgbmeBAkUR7qbkIHT/NbRrYofG9hb4cNsF3EnJwYpxAXisjRvO3kmFv4cd2nywUyW2/q1d8d+lxCqv4f3H28DH2QrO1mZo19iu3k9o+Muxm/grMg5LR3fAvK3ncfialAi1bmSDDVODYGchDcG/fj8T/T+X5rIb4OcGK1M5BrZthB1R8fj7XLzKMT8e6Y8v/7uK+xnaW8hZV6IXDoKFiRwL/47GqiM3VZZxEULAZ+6Oah3ni2c7YkXYNWTlKeBiY4bI26nKfd+OC1B2Gge02zT3z7l4TPvtdKXnyS1QYMuZu1h77BYuxqdjzsBWeK1fS43HwgRJy5ggETUsQghk5BWWmUtn+9k4vP77GeXzCUHeMDeRIyO3EEIIJGbk4acJnfHBtvP49XissszCEf51Gr8+ScspwIkbyQjxda323Fg5+Qocj0nGCw8XUj6/YBCszYyRX1iEmKQsrDx8A6/1bYlPdl7CP1Hx5R7jrcG+2Bt9T6WztCEpTixO3EjGsz8cr6J0zb09uDX+iYrDpld6wMxYrrHjCiHwzPfHcOqmNKq1ogTpg7/OqzQVVla2NpggaRkTJCIqlp1fiINX7mPdiVh8PrpDhdMPFCqKYCST1fvaIm1Kyy5AnkIBV5uKp3hIzc7HhlO30dzFGj8euqGcCf7mksfx48EbWLRDmrqhs7cDnu3iiT3R99DG3RZf/ne1Tq5BXecXSLVKgR/vQWp2+WsCasrfr/dSTrFRW7+fjMXczY/mHXytbwvMGeRbplyzuf+gqFRGwgTJgLCTNhGRYfkj/DbcbM0R3MoF+YVF+GLvFYT4uqKrj+rqCVF30jD8m8PK58ZGMiwZ1R6FiiIcvZ6MbWfjKj3PKyHN8W0lo9kMzeC2jbDs2Q61Xk9xwLIDuJqoOgv/+v/rDgdLU/g2slFuY4JUT7AGiYio/hFCIKdAgdgH2WjdqOK/7TfuZyI9txDZ+YVoYm8JG3NjOFiZIj23ACduPMCUteF1GLX2vDnIFz1bOKOZi1WFS7VUpbwEqVjJBEjfEiT9GQJBRESkYzKZDJamxpUmR4C0hmFHT3v0aO4MLydLODxcNsTW3AQD/Nzw25Ru8HG2QuOHs3DbmBtjzsBWWo9f05buuoyRoUfQfv5uFCjUmzC0miuAlUmOdM0glxohIiLSZz2aO2P/nBAAQHJmHsxM5LAylWNMVy9k5hbiUkI6zt1JQ59WLsjILSy3xqlHcyccvZ5cx5FX7MNtF9DS1RqTejSt9rqnACpd5FpRJCDX0z55TJBqiGuxERFRTZRcsNbZ2gzO1mZo6myFwf7uyu03lzyOQkUR5EYyleQjNTsfBQqB3AIFFmy/gG4+TspO5l+O6ahcxkfbnbYB4LcT0ihMG3MTjApojI0Rd+Dnblurztw37meipZtNhfsfZOXrbFFf9kFSE/sgERFRXRNCYN+lRLR2t1U23ymKBHZdSMC5O2n47sB1vNTLBz8djqmzmI68008ZS2lZeYVo+3CduvK09bDFP2/0rrDc9+MDMahtI43FCrCTttYxQSIiIn2TlJkHZ2szCCEgk8lQoCjC1XuZOBGTjPZN7BF+8wEW/3sJABDcygVX7mUgPk3z6yK+O7Q1/rfjUrXKfjzSH/O3XUBhOZ2Q1r3UDT1bOGs0NiZIWsYEiYiIDFF8Wg6uJ2ahV0sp8Viw/QKuJWbi7cGtMXdzFKLupuk4wkc2vdIDgd4OGj1mdb+/2QeJiIioAXG3s4C73aMmsQ+Ht1U+3v56LwBASlY+3t0ShX/PJ9R5fCVZmmpuRu+aYoJEREREKhysTPHt84FIysxDgaII7nYWUBQJ5fNTNx8gPi0XfX1dcfhqEmQyqUP1Cg1PlOlcooN7XWOCVEMcxUZERA1FyQRFbiSD28NldJo4WCq3t3F/1Ez11uDWyse3H2Tjyr0MTF4jTWEwKqAJjl1PwpB27rj9IBsX4tLRs4UTBvs3woury59Y08VGdwkS+yCpiX2QiIiIqlbcYbwyRUUCczdHwc/DFt5Olvjgrwt4d2hrlakQNIWdtLWMCRIREZHh4VIjRERERGpigkRERERUChMkIiIiolKYIBERERGVwgSphkJDQ+Hn54cuXbroOhQiIiLSEo5iUxNHsRERERkejmIjIiIiUhMTJCIiIqJSmCARERERlcIEiYiIiKgUJkhEREREpTBBIiIiIiqFCRIRERFRKUyQaogTRRIREdV/nChSTWlpabC3t8ft27c5USQREZGBSE9Ph6enJ1JTU2FnZ1dhOeM6jKleycjIAAB4enrqOBIiIiKqqYyMjEoTJNYgqamoqAhxcXGwsbGBTCbT2HGLM9v6XDNV36+R12f46vs11vfrA+r/NfL61CeEQEZGBjw8PGBkVHFPI9YgqcnIyAhNmjTR2vFtbW3r5Q99SfX9Gnl9hq++X2N9vz6g/l8jr089ldUcFWMnbSIiIqJSmCARERERlcIESc+YmZnhww8/hJmZma5D0Zr6fo28PsNX36+xvl8fUP+vkdenfeykTURERFQKa5CIiIiISmGCRERERFQKEyQiIiKiUpggEREREZXCBEnPrFixAj4+PjA3N0dgYCAOHTqk65CqtHjxYnTp0gU2NjZwdXXFyJEjcfnyZZUykyZNgkwmU7l1795dpUxeXh5ef/11ODs7w8rKCk888QTu3LlTl5dSofnz55eJv1GjRsr9QgjMnz8fHh4esLCwQEhICC5cuKByDH2+vqZNm5a5PplMhmnTpgEwzM/v4MGDGD58ODw8PCCTybB161aV/Zr6zFJSUjB+/HjY2dnBzs4O48ePR2pqqpavrvLrKygowNtvv4127drBysoKHh4emDBhAuLi4lSOERISUuZzHTNmjN5fH6C5n0ldXR9Q9TWW9zspk8mwdOlSZRl9/gyr892gz7+HTJD0yIYNGzBjxgy89957OHPmDHr37o0hQ4YgNjZW16FV6sCBA5g2bRqOHz+OPXv2oLCwEAMHDkRWVpZKucGDByM+Pl5527Fjh8r+GTNmYMuWLVi/fj0OHz6MzMxMDBs2DAqFoi4vp0Jt27ZViT8qKkq579NPP8WyZcvwzTff4NSpU2jUqBEGDBigXLMP0O/rO3XqlMq17dmzBwAwevRoZRlD+/yysrLQoUMHfPPNN+Xu19RnNnbsWERGRmLnzp3YuXMnIiMjMX78eJ1eX3Z2Nk6fPo158+bh9OnT2Lx5M65cuYInnniiTNkpU6aofK7ff/+9yn59vL5imviZ1NX1AVVfY8lri4+Px88//wyZTIZRo0aplNPXz7A63w16/XsoSG907dpVvPzyyyrbWrduLd555x0dRaSexMREAUAcOHBAuW3ixIlixIgRFb4mNTVVmJiYiPXr1yu33b17VxgZGYmdO3dqM9xq+fDDD0WHDh3K3VdUVCQaNWoklixZotyWm5sr7OzsxHfffSeE0P/rK2369OmiefPmoqioSAhh+J8fALFlyxblc019ZtHR0QKAOH78uLLMsWPHBABx6dIlLV/VI6WvrzwnT54UAMStW7eU24KDg8X06dMrfI0+X58mfib15fqEqN5nOGLECNGvXz+VbYbyGQpR9rtB338PWYOkJ/Lz8xEREYGBAweqbB84cCCOHj2qo6jUk5aWBgBwdHRU2R4WFgZXV1e0atUKU6ZMQWJionJfREQECgoKVK7fw8MD/v7+enP9V69ehYeHB3x8fDBmzBjcuHEDABATE4OEhASV2M3MzBAcHKyM3RCur1h+fj5+/fVXvPjiiyoLMRv651eSpj6zY8eOwc7ODt26dVOW6d69O+zs7PTuutPS0iCTyWBvb6+yfd26dXB2dkbbtm0xZ84clf/c9f36avszqe/XV9K9e/fwzz//YPLkyWX2GcpnWPq7Qd9/D7lYrZ5ISkqCQqGAm5ubynY3NzckJCToKKqaE0Jg1qxZ6NWrF/z9/ZXbhwwZgtGjR8Pb2xsxMTGYN28e+vXrh4iICJiZmSEhIQGmpqZwcHBQOZ6+XH+3bt2wdu1atGrVCvfu3cPHH3+MHj164MKFC8r4yvvsbt26BQB6f30lbd26FampqZg0aZJym6F/fqVp6jNLSEiAq6trmeO7urrq1XXn5ubinXfewdixY1UW/hw3bhx8fHzQqFEjnD9/HnPnzsXZs2eVTaz6fH2a+JnU5+srbc2aNbCxscFTTz2lst1QPsPyvhv0/feQCZKeKfkfOyD9UJXeps9ee+01nDt3DocPH1bZ/uyzzyof+/v7o3PnzvD29sY///xT5he+JH25/iFDhigft2vXDkFBQWjevDnWrFmj7BiqzmenL9dX0sqVKzFkyBB4eHgotxn651cRTXxm5ZXXp+suKCjAmDFjUFRUhBUrVqjsmzJlivKxv78/WrZsic6dO+P06dMICAgAoL/Xp6mfSX29vtJ+/vlnjBs3Dubm5irbDeUzrOi7AdDf30M2sekJZ2dnyOXyMtluYmJimexaX73++uvYtm0b9u/fjyZNmlRa1t3dHd7e3rh69SoAoFGjRsjPz0dKSopKOX29fisrK7Rr1w5Xr15Vjmar7LMzlOu7desW9u7di5deeqnScob++WnqM2vUqBHu3btX5vj379/Xi+suKCjAM888g5iYGOzZs0el9qg8AQEBMDExUflc9fn6SlLnZ9JQru/QoUO4fPlylb+XgH5+hhV9N+j77yETJD1hamqKwMBAZbVosT179qBHjx46iqp6hBB47bXXsHnzZuzbtw8+Pj5VviY5ORm3b9+Gu7s7ACAwMBAmJiYq1x8fH4/z58/r5fXn5eXh4sWLcHd3V1Zvl4w9Pz8fBw4cUMZuKNe3atUquLq64vHHH6+0nKF/fpr6zIKCgpCWloaTJ08qy5w4cQJpaWk6v+7i5Ojq1avYu3cvnJycqnzNhQsXUFBQoPxc9fn6SlPnZ9JQrm/lypUIDAxEhw4dqiyrT59hVd8Nev97qHb3btK49evXCxMTE7Fy5UoRHR0tZsyYIaysrMTNmzd1HVqlXnnlFWFnZyfCwsJEfHy88padnS2EECIjI0PMnj1bHD16VMTExIj9+/eLoKAg0bhxY5Genq48zssvvyyaNGki9u7dK06fPi369esnOnToIAoLC3V1aUqzZ88WYWFh4saNG+L48eNi2LBhwsbGRvnZLFmyRNjZ2YnNmzeLqKgo8dxzzwl3d3eDuT4hhFAoFMLLy0u8/fbbKtsN9fPLyMgQZ86cEWfOnBEAxLJly8SZM2eUo7g09ZkNHjxYtG/fXhw7dkwcO3ZMtGvXTgwbNkyn11dQUCCeeOIJ0aRJExEZGanye5mXlyeEEOLatWtiwYIF4tSpUyImJkb8888/onXr1qJTp056f32a/JnU1fVVdY3F0tLShKWlpfj222/LvF7fP8OqvhuE0O/fQyZIeiY0NFR4e3sLU1NTERAQoDJUXl8BKPe2atUqIYQQ2dnZYuDAgcLFxUWYmJgILy8vMXHiRBEbG6tynJycHPHaa68JR0dHYWFhIYYNG1amjK48++yzwt3dXZiYmAgPDw/x1FNPiQsXLij3FxUViQ8//FA0atRImJmZiT59+oioqCiVY+jz9QkhxK5duwQAcfnyZZXthvr57d+/v9yfy4kTJwohNPeZJScni3HjxgkbGxthY2Mjxo0bJ1JSUnR6fTExMRX+Xu7fv18IIURsbKzo06ePcHR0FKampqJ58+bijTfeEMnJyXp/fZr8mdTV9VV1jcW+//57YWFhIVJTU8u8Xt8/w6q+G4TQ799D2cOLICIiIqKH2AeJiIiIqBQmSERERESlMEEiIiIiKoUJEhEREVEpTJCIiIiISmGCRERERFQKEyQiIiKiUpggEREREZXCBImI6tz8+fMhk8mwevVqvToWEVExJkhEDdjNmzchk8kQEhKi61AaPJlMhqZNm+o6DCJ6iEuNEDVgN2/ehI+PD4KDgxEWFlZn501KSkJSUhLc3d1hZ2enN8fSJZlMBm9vb9y8eVPXoRARAGNdB0BEDY+zszOcnZ317lhERMXYxEbUQM2fPx8+Pj4AgAMHDkAmkylvkyZNUpYrbvrJz8/HwoUL0bp1a5iZmWHkyJEAgNzcXKxcuRIjRoxAs2bNYGFhAXt7e/Tp0wfr16+v8Nzl9RsKCQmBTCbDzZs3sXXrVnTv3h1WVlZwdHTEc889hzt37mj1WACQmJiIKVOmwM3NDZaWlggICMBvv/2mVnNkcnIy3n33XbRt2xbW1taws7NDq1atMGHCBJw8eRIAsHr1ashkMgDArVu3VD6H0ufKzMzEwoUL0a5dO1haWsLW1hbBwcHYunVrmXOXjDc9PR3Tp0+Hp6cnzM3N0aZNGyxfvhxFRUVqxUzUELAGiaiB6tixI0aNGoVNmzbBzc0NgwcPVu7r1auXStmioiKMHDkSBw8eRHBwMNq3bw8nJycA0hfxSy+9BDc3N7Ru3Rpdu3ZFQkICjh49ikOHDuHSpUuYP39+jWJbsWIFPv/8c3Tu3BmDBw/GqVOnsH79ekRERODs2bOwsLDQyrGSkpLQo0cPXL9+HZ6enujbty/u3buH8ePH47XXXqvRNWRmZqJ79+64du0aWrZsiUGDBgEAYmNj8fvvv6NZs2bo2rUrWrRogYkTJ2LNmjWwsrLC008/rTxG69atlY/v3buHfv36ITo6Go0bN8aAAQOQnZ2NY8eO4cknn8TixYvxzjvvlIkjLy8P/fr1w/Xr19GvXz/k5+fjv//+w6xZs3Du3DmsWrWqxjETNQiCiBqsmJgYAUAEBwdXWAaAACBatGgh7ty5U2Z/UlKS2LVrl1AoFCrbb9y4IZo2bSqMjIxETEyMyr4PP/xQABCrVq1S2R4cHCwACCsrK/Hff/8pt2dlZYkePXoIAGLlypVaO9bkyZMFAPHkk0+K3Nxc5fa9e/cKU1PTKt+rklatWiUAiNdff73Mvnv37omoqCiVbQCEt7d3hccbMmSIACDeeustkZ+fr9x+/fp10bx5cyGXy8XZs2eV24s/WwCiffv24v79+8p9165dEx4eHgKA+Ouvv9SOmag+YxMbEVXL4sWL0bhx4zLbnZycMHDgQBgZqf458fHxwXvvvYeioiJs3769RueaOXMm+vXrp3xuaWmJ2bNnAwAOHjyolWNlZmZi3bp1MDY2xpdffgkzMzPlvv79+2PMmDE1Om9iYiIAqJy7mKurK/z9/at9rMjISPz777/o0aMHlixZAhMTE+W+Zs2a4fPPP4dCocBPP/1U7us/++wzlX5azZs3x7x58wAAoaGhWomZyNCxiY2IqiSTyTB8+PBKyxw+fBhhYWG4e/cucnNzIYRAfHw8AODq1as1Ot/AgQPLbGvVqhUAKI+p6WOdPn0aubm56NWrFzw9Pcu8ZvTo0Vi7dm21zxsYGAgAePfdd2FsbIzHHnsM5ubmNYq92J49ewAAI0aMUPZXKqm4SfTUqVNl9jk6OmLAgAFlto8dOxavvPIKjh49CiEEZDKZRmMmMnRMkIioSq6urio1KiWlpaXhqaeewr59+yp8fUZGRo3O16RJkzLbrK2tAUh9arRxrLi4OAAoNzkCAC8vrxqdt3///pg5cya++OILDB8+HKampujYsSMGDhyIyZMn12jOo+Kh/2+//TbefvvtCsslJSWV2ebt7V1uWVtbW9jb2yM1NRXp6emws7PTaMxEho4JEhFVqbJahLfffhv79u1Dnz59sHDhQvj7+8Pe3h5yuRy7d+/GoEGDIGo43Vp5tSTqqumxKipf02sAgGXLlmHq1Kn466+/8N9//+HIkSM4efIkPv30U2zYsEE5ErAqCoUCANC7d280a9aswnI1ne6gvGvSVMxEho4JEhHVypYtWyCXy7Ft27YyEzXeuHFDR1HVnLu7OwBpxFZ5bt++rdZxfX198dZbb+Gtt95Cbm4uQkNDMWfOHEydOrXayUZxLdjTTz+NN954o0bnr+h60tPTkZaWBisrK9ja2mo8ZiJDx07aRA2YqakpAKCwsFDtY6SkpMDGxqbcWaz/+OMPtY9b1wICAmBmZobjx4+XO0fSn3/+WetzmJubY/bs2XB3d0diYqKyUzQAmJiYVPg5PPbYYwBQ7nxHVUlOTsbevXvLbP/9998BAD169Ki0lq2ymInqMyZIRA2Ys7MzTExMcP36dWUzTk21atUKqamp2LBhg8r25cuXY//+/ZoIs07Y2Nhg7NixKCwsxMyZM5Gfn6/cFxYWpkwoqmvr1q04fvx4me1nzpzBvXv3YGNjAwcHB+V2Dw8P3Lt3D6mpqWVe0717d/Tv3x/79+/HzJkzkZmZqbK/qKgIu3fvxuHDh8uN5c0330RycrLyeUxMDD766CMAwKuvvqp2zET1GZvYiBowU1NTDB48GNu3b0eHDh0QEBAAU1NT9OzZEy+88EK1jjF37lw8//zzGDNmDEJDQ9GkSROcPXsWly5dwsyZM7F8+XItX4XmLFmyBGFhYfjzzz9x8uRJ9OjRA4mJiQgLC8Orr76Kb775RlnrVpWwsDB8+eWXaNy4MTp16gRbW1vExcXh8OHDKCoqwkcffaQyXP+JJ57A119/jYCAAPTo0QPm5ubw9fXFm2++CQBYt24dBg4ciC+++AJr165Fx44d4eLigrt37+Ly5cu4f/8+li9fXmaSz+7duyM/Px8tW7ZUmSgyOzsbzz//vEqTWU1jJqrPmCARNXA//fQT5syZgz179uC3336DQqFAYWFhtROkcePGwcHBAR999BEiIyMRFRWFzp07Y8WKFRBCGFSC5OrqimPHjuHdd9/F9u3bsXXrVvj6+mLVqlVo3rw5vvnmG+UM4lWZNGkSjI2NcfDgQZw8eRJpaWlo1KgRhg4dipkzZ5ZZRmTx4sUQQuCvv/7Chg0bUFhYiODgYGWC5ObmhuPHj+O7777Dhg0bcOrUKeTn58Pd3R2dOnXCiBEj8Mwzz5SJw8zMDDt37sS7776LrVu3IikpCT4+PpgyZQpmzJhRq5iJ6jOZUGdoBhFRA/PJJ5/gnXfewZIlSyodaq8vbt68CR8fHwQHByMsLEzX4RAZHPZBIiIq4fTp02W2HTx4EP/73/9gbGxcbi0NEdU/bGIjIiqhR48e8PDwQJs2bWBlZYVr167hzJkzAKQ+Sj4+PjqOkIjqAhMkIqIS5s6di3/++QcnTpxAWloabG1tMXDgQLz22mtVLrdCRPUH+yARERERlcI+SERERESlMEEiIiIiKoUJEhEREVEpTJCIiIiISmGCRERERFQKEyQiIiKiUpggEREREZXCBImIiIiolP8HUVDScOuDY7YAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(l2s_fine_tune)\n", + "plt.plot(l2s_from_scratch)\n", + "plt.yscale('log')\n", + "plt.legend(['w/ prior knowledge', 'w/o prior knowledge'])\n", + "plt.ylabel('L2 squared error', fontsize=15)\n", + "plt.xlabel('training steps', fontsize=15)\n", + "plt.savefig('./pde_loss.pdf', bbox_inches='tight', dpi=200)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/tutorials/.ipynb_checkpoints/Interp_3A_KAN_Compiler_PDE-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Interp_3A_KAN_Compiler_PDE-checkpoint.ipynb new file mode 100644 index 00000000..148d3b40 --- /dev/null +++ b/tutorials/.ipynb_checkpoints/Interp_3A_KAN_Compiler_PDE-checkpoint.ipynb @@ -0,0 +1,400 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "c982abca", + "metadata": {}, + "source": [ + "# Interpretation 3A: KAN Compiler for PDE\n" + ] + }, + { + "cell_type": "markdown", + "id": "6b9ec6c4", + "metadata": {}, + "source": [ + "In scientific applications, we sometimes know empirical formulas or approximate solutions, represented as symbolic formulas. It would be nice to initialize the KAN network to be the approximate solution, and then fine tune the KAN network. " + ] + }, + { + "cell_type": "markdown", + "id": "a42701c0", + "metadata": {}, + "source": [ + "In this notebook, We aim to solve a 2D poisson equation $\\nabla^2 f(x,y) = -2\\pi^2({\\rm sin}(\\pi x){\\rm sin}(\\pi y) + 4\\epsilon\\ {\\rm sin}(2\\pi x){\\rm sin}(2\\pi y))$, with boundary condition $f(-1,y)=f(1,y)=f(x,-1)=f(x,1)=0$. The ground truth solution is $f(x,y)={\\rm sin}(\\pi x){\\rm sin}(\\pi y)+\\epsilon\\ {\\rm sin}(2\\pi x){\\rm sin}(2\\pi y)$. We set $\\epsilon$ to be a small number, and assume to know the approximate solution $f\\approx f_{\\rm approx}={\\rm sin}(\\pi x){\\rm sin}(\\pi y)$." + ] + }, + { + "cell_type": "code", + "execution_count": 118, + "id": "d8f94f0f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.1\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from kan.compiler import kanpiler\n", + "from sympy import *\n", + "from kan.utils import create_dataset\n", + "import torch\n", + "\n", + "torch.set_default_dtype(torch.float64)\n", + "\n", + "input_variables = x,y = symbols('x y')\n", + "expr = sin(pi*x) * sin(pi*y) #+ 0.01 * sin(2*pi*x) * sin(2*pi*y)\n", + "\n", + "model = kanpiler(input_variables, expr, grid=5)\n", + "\n", + "x = torch.rand(100,2) * 2 - 1\n", + "model.get_act(x)\n", + "\n", + "model.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "id": "381b8a03", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.2\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model.expand_depth()\n", + "model.get_act(x)\n", + "model.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "id": "5c5f92c9", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.3\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model.expand_width(1, 1, sum_bool=False)\n", + "model.get_act(x)\n", + "model.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 121, + "id": "45c8e738", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.4\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model.perturb(mag=0.01, mode='all')\n", + "model.get_act(x)\n", + "model.plot(metric='forward_n')\n", + "# purple means both symbolic front (red) and spline front (black) are active" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "559c326a", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 122, + "id": "c5479a7d", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "pde loss: 1.03e-01 | bc loss: 4.63e-06 | l2: 1.54e-05 : 9%|▎ | 182/2001 [01:12<12:07, 2.50it/s]\n" + ] + }, + { + "ename": "KeyboardInterrupt", + "evalue": "", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/6j/b6y80djd4nb5hl73rv3sv8y80000gn/T/ipykernel_16840/772246820.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 107\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 108\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mmode\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;34m'fine_tune'\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 109\u001b[0;31m \u001b[0ml2s_fine_tune\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtrain\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 110\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mmode\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;34m'from_scratch'\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 111\u001b[0m \u001b[0ml2s_from_scratch\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtrain\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/var/folders/6j/b6y80djd4nb5hl73rv3sv8y80000gn/T/ipykernel_16840/772246820.py\u001b[0m in \u001b[0;36mtrain\u001b[0;34m()\u001b[0m\n\u001b[1;32m 94\u001b[0m \u001b[0mmodel\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mupdate_grid_from_samples\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx_i\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 95\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 96\u001b[0;31m \u001b[0moptimizer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstep\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mclosure\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 97\u001b[0m \u001b[0msol\u001b[0m \u001b[0;34m=\u001b[0m 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grad_outputs, create_graph, retain_graph, is_grads_batched)\u001b[0m\n\u001b[1;32m 190\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0minputs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 191\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 192\u001b[0;31m return torch.autograd.grad(\n\u001b[0m\u001b[1;32m 193\u001b[0m \u001b[0mnew_outputs\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 194\u001b[0m \u001b[0minputs\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/opt/anaconda3/lib/python3.9/site-packages/torch/autograd/__init__.py\u001b[0m in \u001b[0;36mgrad\u001b[0;34m(outputs, inputs, grad_outputs, retain_graph, create_graph, only_inputs, allow_unused, is_grads_batched, materialize_grads)\u001b[0m\n\u001b[1;32m 409\u001b[0m )\n\u001b[1;32m 410\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 411\u001b[0;31m result = Variable._execution_engine.run_backward( # Calls into the C++ engine to run the backward pass\n\u001b[0m\u001b[1;32m 412\u001b[0m \u001b[0mt_outputs\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 413\u001b[0m \u001b[0mgrad_outputs_\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mKeyboardInterrupt\u001b[0m: " + ] + } + ], + "source": [ + "from kan import *\n", + "import matplotlib.pyplot as plt\n", + "from torch import autograd\n", + "from tqdm import tqdm\n", + "\n", + "dim = 2\n", + "np_i = 51 # number of interior points (along each dimension)\n", + "np_b = 51 # number of boundary points (along each dimension)\n", + "ranges = [-1, 1]\n", + "\n", + "mode = 'fine_tune'\n", + "#mode = 'from_scratch'\n", + "\n", + "if mode == 'from_scratch':\n", + " model = KAN(width=[2,[0,2],1], grid=5, k=3, seed=3)\n", + "else:\n", + " # use the model defined above\n", + " pass\n", + "\n", + "def batch_jacobian(func, x, create_graph=False):\n", + " # x in shape (Batch, Length)\n", + " def _func_sum(x):\n", + " return func(x).sum(dim=0)\n", + " return autograd.functional.jacobian(_func_sum, x, create_graph=create_graph).permute(1,0,2)\n", + "\n", + "# define solution\n", + "epsilon = 0.01\n", + "sol_fun = lambda x: torch.sin(torch.pi*x[:,[0]])*torch.sin(torch.pi*x[:,[1]]) + epsilon * torch.sin(2*torch.pi*x[:,[0]])*torch.sin(2*torch.pi*x[:,[1]])\n", + "source_fun = lambda x: -2*torch.pi**2 * (torch.sin(torch.pi*x[:,[0]])*torch.sin(torch.pi*x[:,[1]]) + 4 * epsilon * torch.sin(2*torch.pi*x[:,[0]])*torch.sin(2*torch.pi*x[:,[1]]))\n", + "\n", + "# interior\n", + "sampling_mode = 'mesh' # 'ranndom' or 'mesh'\n", + "\n", + "x_mesh = torch.linspace(ranges[0],ranges[1],steps=np_i)\n", + "y_mesh = torch.linspace(ranges[0],ranges[1],steps=np_i)\n", + "X, Y = torch.meshgrid(x_mesh, y_mesh, indexing=\"ij\")\n", + "if sampling_mode == 'mesh':\n", + " #mesh\n", + " x_i = torch.stack([X.reshape(-1,), Y.reshape(-1,)]).permute(1,0)\n", + "else:\n", + " #random\n", + " x_i = torch.rand((np_i**2,2))*2-1\n", + "\n", + "# boundary, 4 sides\n", + "helper = lambda X, Y: torch.stack([X.reshape(-1,), Y.reshape(-1,)]).permute(1,0)\n", + "xb1 = helper(X[0], Y[0])\n", + "xb2 = helper(X[-1], Y[0])\n", + "xb3 = helper(X[:,0], Y[:,0])\n", + "xb4 = helper(X[:,0], Y[:,-1])\n", + "x_b = torch.cat([xb1, xb2, xb3, xb4], dim=0)\n", + "\n", + "steps = 2001\n", + "alpha = 0.01\n", + "log = 1\n", + "\n", + "def train():\n", + " \n", + " l2s = []\n", + " \n", + " optimizer = LBFGS(model.parameters(), lr=1, history_size=10, line_search_fn=\"strong_wolfe\", tolerance_grad=1e-32, tolerance_change=1e-32, tolerance_ys=1e-32)\n", + " if mode == 'from_scratch':\n", + " lr = 1e-2\n", + " if mode == 'fine_tune':\n", + " lr = 1e-3\n", + " optimizer = torch.optim.Adam(model.parameters(), lr=lr)\n", + " \n", + " pbar = tqdm(range(steps), desc='description', ncols=100)\n", + "\n", + " for _ in pbar:\n", + " \n", + " \n", + " def closure():\n", + " global pde_loss, bc_loss\n", + " optimizer.zero_grad()\n", + " # interior loss\n", + " sol = sol_fun(x_i)\n", + " sol_D1_fun = lambda x: batch_jacobian(model, x, create_graph=True)[:,0,:]\n", + " sol_D1 = sol_D1_fun(x_i)\n", + " sol_D2 = batch_jacobian(sol_D1_fun, x_i, create_graph=True)[:,:,:]\n", + " lap = torch.sum(torch.diagonal(sol_D2, dim1=1, dim2=2), dim=1, keepdim=True)\n", + " source = source_fun(x_i)\n", + " pde_loss = torch.mean((lap - source)**2)\n", + "\n", + " # boundary loss\n", + " bc_true = sol_fun(x_b)\n", + " bc_pred = model(x_b)\n", + " bc_loss = torch.mean((bc_pred-bc_true)**2)\n", + "\n", + " loss = alpha * pde_loss + bc_loss\n", + " loss.backward()\n", + " return loss\n", + "\n", + " if _ % 5 == 0 and _ < 50:\n", + " model.update_grid_from_samples(x_i)\n", + "\n", + " optimizer.step(closure)\n", + " sol = sol_fun(x_i)\n", + " loss = alpha * pde_loss + bc_loss\n", + " l2 = torch.mean((model(x_i) - sol)**2)\n", + " l2s.append(l2.item())\n", + "\n", + " if _ % log == 0:\n", + " pbar.set_description(\"pde loss: %.2e | bc loss: %.2e | l2: %.2e \" % (pde_loss.cpu().detach().numpy(), bc_loss.cpu().detach().numpy(), l2.detach().numpy()))\n", + "\n", + " return l2s\n", + " \n", + " \n", + "if mode == 'fine_tune':\n", + " l2s_fine_tune = train()\n", + "if mode == 'from_scratch':\n", + " l2s_from_scratch = train()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "ac938c7e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model.plot()\n", + "if mode == 'fine_tune':\n", + " plt.savefig('./pde_fine_tune.pdf', bbox_inches='tight', dpi=200)\n", + "if mode == 'from_scratch':\n", + " plt.savefig('./pde_from_scratch.pdf', bbox_inches='tight', dpi=200)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "c411afc0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# sweep epsilon. This is for epsilon = 0.01\n", + "plt.plot(l2s_fine_tune)\n", + "plt.plot(l2s_from_scratch)\n", + "plt.yscale('log')\n", + "plt.legend(['w/ prior knowledge', 'w/o prior knowledge'])\n", + "plt.ylabel('L2 squared error', fontsize=15)\n", + "plt.xlabel('training steps', fontsize=15)\n", + "plt.savefig('./pde_loss.pdf', bbox_inches='tight', dpi=200)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e56f1db2", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/tutorials/.ipynb_checkpoints/Interp_7_Building_in_structural_biases-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Interp_7_Building_in_structural_biases-checkpoint.ipynb index 6083a301..2428cab8 100644 --- a/tutorials/.ipynb_checkpoints/Interp_7_Building_in_structural_biases-checkpoint.ipynb +++ b/tutorials/.ipynb_checkpoints/Interp_7_Building_in_structural_biases-checkpoint.ipynb @@ -187,15 +187,23 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 36, "id": "37e983f7", "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "checkpoint directory created: ./model\n", + "saving model version 0.0\n" + ] + }, { "data": { - "image/png": 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\n", 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\n", 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" + "
" ] }, "metadata": {}, @@ -204,7 +212,8 @@ ], "source": [ "# a tree case\n", - "model = KAN(width=[4,6,2,6,1], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", + "seed = 0\n", + "model = KAN(width=[4,4,2,3,1], grid=3, k=3, seed=seed)\n", "x = torch.rand(100,4)*2-1\n", "model(x)\n", "model.plot(beta=1000)" @@ -212,15 +221,25 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 65, "id": "b6c70991", "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "checkpoint directory created: ./model\n", + "saving model version 0.0\n", + "saving model version 0.1\n", + "saving model version 0.2\n" + ] + }, { "data": { - "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, @@ -229,13 +248,14 @@ ], "source": [ "# a tree case\n", - "model = KAN(width=[4,6,2,6,1], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", + "seed = 0\n", + "model = KAN(width=[4,4,2,3,1], grid=3, k=3, seed=seed)\n", "x = torch.rand(100,4)*2-1\n", "\n", - "model.module(0,'[0,1]->[0,1,2]->[0,1,2]->[0]')\n", - "model.module(0,'[2,3]->[3,4,5]->[3,4,5]->[1]')\n", - "model.module(2,'[0]->[0,1,2]')\n", - "model.module(2,'[1]->[3,4,5]')\n", + "model.module(0,'[0,1]->[0,1]->[0,1]->[0]')\n", + "model.module(0,'[2,3]->[2,3]->[2,3]->[1]')\n", + "#model.module(2,'[0]->[0,1,2]')\n", + "#model.module(2,'[1]->[3,4,5]')\n", "\n", "model(x)\n", "model.plot(beta=1000)" @@ -243,9 +263,66 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 66, "id": "05cf43c8", "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "| train_loss: 3.84e-02 | test_loss: 4.00e-02 | reg: 1.17e+01 | : 100%|█| 50/50 [00:22<00:00, 2.20it" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.3\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "# a formula with a two-level tree structure\n", + "f = lambda x: torch.sin(x[:,[0]]**2+x[:,[1]]**2)+torch.sin(x[:,[2]]**2+x[:,[3]]**2)\n", + "dataset = create_dataset(f, n_var=4)\n", + "\n", + "model.fit(dataset, steps=50, lamb=2e-3, reg_metric='edge_forward_n');" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "id": "1eb57eff", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "14aaa394", + "metadata": {}, "outputs": [], "source": [] } diff --git a/tutorials/.ipynb_checkpoints/Interp_8_adding_auxillary_variables-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Interp_8_adding_auxillary_variables-checkpoint.ipynb new file mode 100644 index 00000000..00adff78 --- /dev/null +++ b/tutorials/.ipynb_checkpoints/Interp_8_adding_auxillary_variables-checkpoint.ipynb @@ -0,0 +1,297 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "f8ba3161", + "metadata": {}, + "source": [ + "# Interp 8: Adding auxillary variables" + ] + }, + { + "cell_type": "markdown", + "id": "6535c1f2", + "metadata": {}, + "source": [ + "When we do a regression task, it might be good to include auxillary input variables, even though they might be dependent on other variables. For example, to regress $m(m_0, v, c)=m_0/\\sqrt{1-(v/c)^2}$, it is desirable to include the dimensionaless varabile $\\beta = v/c$ as a separate input variable. If we also know this is a task in relativity, we may also include $\\gamma=1/\\sqrt{1-(v/c)^2}$ because $\\gamma$ appears frequently in relativity." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "3b818211", + "metadata": {}, + "outputs": [], + "source": [ + "from kan.MultKAN import MultKAN\n", + "from sympy import *\n", + "from kan.utils import create_dataset, augment_input\n", + "import torch\n", + "\n", + "seed = 1\n", + "torch.manual_seed(seed)\n", + "torch.set_default_dtype(torch.float64)\n", + "torch.use_deterministic_algorithms(True)\n", + "\n", + "input_variables = m0, v, c = symbols('m0 v c')\n", + "\n", + "# define auxillary variables\n", + "beta = v/c\n", + "gamma = 1/sqrt(1-beta**2)\n", + "\n", + "aux_vars = (beta, gamma)\n", + "\n", + "f = lambda x: x[:,[0]]/torch.sqrt(1-x[:,[1]]**2/x[:,[2]]**2)\n", + "dataset = create_dataset(f, n_var=3, ranges=[[0,1],[0,0.9],[1.1,2]])\n", + "\n", + "# add auxillary variables\n", + "dataset = augment_input(input_variables, aux_vars, dataset)\n", + "input_variables += aux_vars" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "2c93e210", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "checkpoint directory created: ./model\n", + "saving model version 0.0\n" + ] + } + ], + "source": [ + "model = MultKAN(width=[5,[0,1]], mult_arity=2, grid=3, k=3, sparse_init=True, seed=seed)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "6a1a56f0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model(dataset['train_input'])\n", + "model.plot(in_vars=input_variables, scale=1.0, varscale=0.7)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "f98f58a9", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "| train_loss: 3.90e-03 | test_loss: 3.77e-03 | reg: 3.51e+00 | : 100%|█| 200/200 [00:22<00:00, 8.89" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.1\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "model.fit(dataset, steps=200, lamb=1e-4);" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "90cde2b2", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "91af5af4", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.2\n" + ] + } + ], + "source": [ + "model = model.prune()" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "bd2a8b19", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "| train_loss: 1.72e-06 | test_loss: 9.17e-06 | reg: 3.40e+00 | : 100%|█| 100/100 [00:19<00:00, 5.10" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.3\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "model.fit(dataset, steps=100);" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "0e00abaa", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "fixing (0,0,0) with x, r2=0.999999999868798, c=1\n", + "fixing (0,0,1) with 0\n", + "fixing (0,1,0) with 0\n", + "fixing (0,1,1) with 0\n", + "fixing (0,2,0) with 0\n", + "fixing (0,2,1) with 0\n", + "fixing (0,3,0) with 0\n", + "fixing (0,3,1) with 0\n", + "fixing (0,4,0) with 0\n", + "fixing (0,4,1) with x, r2=0.9999997733953018, c=1\n", + "saving model version 0.4\n" + ] + } + ], + "source": [ + "model.auto_symbolic()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "3aad4680", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle 1.0 \\cdot \\left(9.0376427738903 \\cdot 10^{-5} - \\frac{0.852508537795552}{\\sqrt{1 - \\frac{v^{2}}{c^{2}}}}\\right) \\left(- 1.17312547362696 m_{0} - 1.12252012796077 \\cdot 10^{-7}\\right)$" + ], + "text/plain": [ + "1.0*(9.0376427738903e-5 - 0.852508537795552/sqrt(1 - v**2/c**2))*(-1.17312547362696*m0 - 1.12252012796077e-7)" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sf = model.symbolic_formula(var=input_variables)[0][0]\n", + "sf" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "d651f8c5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle \\frac{m_{0}}{\\sqrt{1 - \\frac{v^{2}}{c^{2}}}}$" + ], + "text/plain": [ + "m0/sqrt(1 - v**2/c**2)" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from kan.utils import ex_round\n", + "\n", + "nsimplify(ex_round(ex_round(ex_round(sf,6),3),3))" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/tutorials/.ipynb_checkpoints/unchecked_Interp_3B_KAN_Compiler_hidden-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/unchecked_Interp_3B_KAN_Compiler_hidden-checkpoint.ipynb new file mode 100644 index 00000000..2765ffc2 --- /dev/null +++ b/tutorials/.ipynb_checkpoints/unchecked_Interp_3B_KAN_Compiler_hidden-checkpoint.ipynb @@ -0,0 +1,398 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "c982abca", + "metadata": {}, + "source": [ + "# Interpretation 3B: KAN Compiler for hidden variables\n" + ] + }, + { + "cell_type": "markdown", + "id": "6b9ec6c4", + "metadata": {}, + "source": [ + "We have always assumed that the input and output variables are physical variables, but this might not be the case for raw data. For example, when we are given an image of a Gaussian bump, what's physical is the x and y coordinates of the Gaussian bump center, but the raw data is the pixels of the image. So we want to learn a physical parameter extractor that transforms images to physical parameters, and then perform some computations on the physical parameters to make the prediction." + ] + }, + { + "cell_type": "markdown", + "id": "746a1c6a", + "metadata": {}, + "source": [ + "construct dataset " + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "id": "12ef9e94", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 101, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import torch\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "sigma = 0.1\n", + "x0 = 0.8\n", + "y0 = 0.\n", + "N_pixel = 21\n", + "\n", + "x = y = torch.linspace(-1,1,steps=N_pixel)\n", + "X, Y = torch.meshgrid(x, y)\n", + "Z = 1/sigma * torch.exp(-((X-x0)**2+(Y-y0)**2)/(2*sigma**2)).detach().numpy()\n", + "plt.matshow(Z)" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "id": "8b9a7456", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 102, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "n_sample = 10000\n", + "x0 = torch.rand(n_sample,) * 1.2 - 0.6\n", + "y0 = torch.rand(n_sample,) * 1.2 - 0.6\n", + "sigma = torch.rand(n_sample,) * 0.2 + 0.1\n", + "x0 = x0[:, None, None]\n", + "y0 = y0[:, None, None]\n", + "sigma = sigma[:, None, None]\n", + "\n", + "x = y = torch.linspace(-1,1,steps=N_pixel)\n", + "X, Y = torch.meshgrid(x, y)\n", + "X = X[None, :, :]\n", + "Y = Y[None, :, :]\n", + "\n", + "Z = 1/sigma * torch.exp(-((X-x0)**2+(Y-y0)**2)/(2*sigma**2))\n", + "plt.matshow(Z[9,:,:])" + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "id": "8d336cd9", + "metadata": {}, + "outputs": [], + "source": [ + "inputs = Z.reshape(n_sample, -1)\n", + "labels = (torch.sin(torch.pi*x0)+y0**2)[:,:,0]\n", + "\n", + "num = inputs.shape[0]\n", + "ratio = 0.8\n", + "train_num = int(num*ratio)\n", + "train_id = np.random.choice(num, train_num, replace=False)\n", + "test_id = list(set(range(num)) - set(train_id))\n", + "\n", + "dataset = {}\n", + "dataset['train_input'] = inputs[train_id]\n", + "dataset['test_input'] = inputs[test_id]\n", + "dataset['train_label'] = labels[train_id]\n", + "dataset['test_label'] = labels[test_id]" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "id": "d8f94f0f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.1\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from kan import *\n", + "from kan.models import AutoEncoder\n", + "from kan.compiler import kanpiler\n", + "from sympy import *\n", + "from kan.utils import create_dataset\n", + "import torch\n", + "\n", + "input_variables = x,y = symbols('x y')\n", + "expr = sin(pi*x)+y**2 #+ 0.01 * sin(2*pi*x) * sin(2*pi*y)\n", + "\n", + "decoder = kanpiler(input_variables, expr, grid=5)\n", + "\n", + "x = torch.rand(100,2) * 2 - 1\n", + "decoder.get_act(x)\n", + "\n", + "#decoder.symbolic_fun[0].affine.requires_grad_(False)\n", + "#decoder.symbolic_fun[1].affine.requires_grad_(False)\n", + "\n", + "decoder.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "id": "4f688c14", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "checkpoint directory created: ./model\n", + "saving model version 0.0\n" + ] + } + ], + "source": [ + "model = AutoEncoder(enc_type='mlp', dec_type='kan', width_enc=[N_pixel**2,10,2], width_dec=decoder.width)\n", + "model.decoder = decoder" + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "id": "4d23c1cc", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "| train_loss: 2.13e-02 | test_loss: 2.49e-02 | reg: 1.82e+02 | : 100%|█| 100/100 [01:47<00:00, 1.07" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.1\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "model.fit(dataset, steps=100)" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "id": "ebf3e789", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 107, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(y0[train_id], model.encoder(dataset['train_input'])[:,1].detach().numpy())" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "49839322", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 97, + "id": "eb92c6bf", + "metadata": {}, + "outputs": [], + "source": [ + "weight = model.encoder.linears[0].weight" + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "id": "a8198183", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 98, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "decoder.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5f325e8a", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/tutorials/Extension_2_autoencoder.ipynb b/tutorials/Extension_2_autoencoder.ipynb index 1174f5a8..cd96ee3c 100644 --- a/tutorials/Extension_2_autoencoder.ipynb +++ b/tutorials/Extension_2_autoencoder.ipynb @@ -80,7 +80,6 @@ " if self.enc_type == 'kan':\n", " self.encoder.update_grid_from_samples(x)\n", " \n", - " hidden = self.encoder(x).detach()\n", " if self.dec_type == 'kan':\n", " self.decoder.update_grid_from_samples(hidden)\n", " \n", diff --git a/tutorials/Interp_2_Advanced MultKAN.ipynb b/tutorials/Interp_2_Advanced MultKAN.ipynb index 6d593823..2916cf5d 100644 --- a/tutorials/Interp_2_Advanced MultKAN.ipynb +++ b/tutorials/Interp_2_Advanced MultKAN.ipynb @@ -5,7 +5,7 @@ "id": "c982abca", "metadata": {}, "source": [ - "# Interpretation 2: Advanced MultKAN!" + "# Interpretation 2: Advanced MultKAN" ] }, { @@ -18,13 +18,21 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 1, "id": "d8f94f0f", "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "checkpoint directory created: ./model\n", + "saving model version 0.0\n" + ] + }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] diff --git a/tutorials/Interp_3A_KAN_Compiler_PDE-Copy1.ipynb b/tutorials/Interp_3A_KAN_Compiler_PDE-Copy1.ipynb new file mode 100644 index 00000000..add1c854 --- /dev/null +++ b/tutorials/Interp_3A_KAN_Compiler_PDE-Copy1.ipynb @@ -0,0 +1,377 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "c982abca", + "metadata": {}, + "source": [ + "# Interpretation 3A: KAN Compiler for PDE\n" + ] + }, + { + "cell_type": "markdown", + "id": "6b9ec6c4", + "metadata": {}, + "source": [ + "In scientific applications, we sometimes know empirical formulas or approximate solutions, represented as symbolic formulas. It would be nice to initialize the KAN network to be the approximate solution, and then fine tune the KAN network. " + ] + }, + { + "cell_type": "markdown", + "id": "9d2efb12", + "metadata": {}, + "source": [ + "In this notebook, We aim to solve a 2D poisson equation $\\nabla^2 f(x,y) = -2\\pi^2({\\rm sin}(\\pi x){\\rm sin}(\\pi y) + 4\\epsilon\\ {\\rm sin}(2\\pi x){\\rm sin}(2\\pi y))$, with boundary condition $f(-1,y)=f(1,y)=f(x,-1)=f(x,1)=0$. The ground truth solution is $f(x,y)={\\rm sin}(\\pi x){\\rm sin}(\\pi y)+\\epsilon\\ {\\rm sin}(2\\pi x){\\rm sin}(2\\pi y)$. We set $\\epsilon$ to be a small number, and assume to know the approximate solution $f\\approx f_{\\rm approx}={\\rm sin}(\\pi x){\\rm sin}(\\pi y)$." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "d8f94f0f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.1\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from kan.compiler import kanpiler\n", + "from sympy import *\n", + "from kan.utils import create_dataset\n", + "import torch\n", + "\n", + "input_variables = x,y = symbols('x y')\n", + "expr = sin(pi*x) * sin(pi*y) #+ 0.01 * sin(2*pi*x) * sin(2*pi*y)\n", + "\n", + "model = kanpiler(input_variables, expr, grid=5)\n", + "\n", + "x = torch.rand(100,2) * 2 - 1\n", + "model.get_act(x)\n", + "\n", + "model.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "381b8a03", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.2\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model.expand_depth()\n", + "model.get_act(x)\n", + "model.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "5c5f92c9", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.3\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model.expand_width(1, 1, sum_bool=False)\n", + "model.get_act(x)\n", + "model.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "45c8e738", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.4\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model.perturb(mag=0.01, mode='all')\n", + "model.get_act(x)\n", + "model.plot(metric='forward_n')\n", + "# purple means both symbolic front (red) and spline front (black) are active" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f27160d3", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "e0aa12c1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "checkpoint directory created: ./model\n", + "saving model version 0.0\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "pde loss: 2.16e-01 | bc loss: 1.21e-04 | l2: 6.99e-05 : 100%|███| 2001/2001 [02:03<00:00, 16.24it/s]\n" + ] + } + ], + "source": [ + "from kan import *\n", + "import matplotlib.pyplot as plt\n", + "from torch import autograd\n", + "from tqdm import tqdm\n", + "\n", + "dim = 2\n", + "np_i = 21 # number of interior points (along each dimension)\n", + "np_b = 21 # number of boundary points (along each dimension)\n", + "ranges = [-1, 1]\n", + "\n", + "#mode = 'fine_tune'\n", + "mode = 'from_scratch'\n", + "\n", + "if mode == 'from_scratch':\n", + " model = KAN(width=[2,[0,2],1], grid=5, k=3, seed=3)\n", + "else:\n", + " # use the model defined above\n", + " pass\n", + "\n", + "def batch_jacobian(func, x, create_graph=False):\n", + " # x in shape (Batch, Length)\n", + " def _func_sum(x):\n", + " return func(x).sum(dim=0)\n", + " return autograd.functional.jacobian(_func_sum, x, create_graph=create_graph).permute(1,0,2)\n", + "\n", + "# define solution\n", + "epsilon = 0.01\n", + "sol_fun = lambda x: torch.sin(torch.pi*x[:,[0]])*torch.sin(torch.pi*x[:,[1]]) + epsilon * torch.sin(2*torch.pi*x[:,[0]])*torch.sin(2*torch.pi*x[:,[1]])\n", + "source_fun = lambda x: -2*torch.pi**2 * (torch.sin(torch.pi*x[:,[0]])*torch.sin(torch.pi*x[:,[1]]) + 4 * epsilon * torch.sin(2*torch.pi*x[:,[0]])*torch.sin(2*torch.pi*x[:,[1]]))\n", + "\n", + "# interior\n", + "sampling_mode = 'mesh' # 'ranndom' or 'mesh'\n", + "\n", + "x_mesh = torch.linspace(ranges[0],ranges[1],steps=np_i)\n", + "y_mesh = torch.linspace(ranges[0],ranges[1],steps=np_i)\n", + "X, Y = torch.meshgrid(x_mesh, y_mesh, indexing=\"ij\")\n", + "if sampling_mode == 'mesh':\n", + " #mesh\n", + " x_i = torch.stack([X.reshape(-1,), Y.reshape(-1,)]).permute(1,0)\n", + "else:\n", + " #random\n", + " x_i = torch.rand((np_i**2,2))*2-1\n", + "\n", + "# boundary, 4 sides\n", + "helper = lambda X, Y: torch.stack([X.reshape(-1,), Y.reshape(-1,)]).permute(1,0)\n", + "xb1 = helper(X[0], Y[0])\n", + "xb2 = helper(X[-1], Y[0])\n", + "xb3 = helper(X[:,0], Y[:,0])\n", + "xb4 = helper(X[:,0], Y[:,-1])\n", + "x_b = torch.cat([xb1, xb2, xb3, xb4], dim=0)\n", + "\n", + "steps = 2001\n", + "alpha = 0.01\n", + "log = 1\n", + "\n", + "def train():\n", + " \n", + " l2s = []\n", + " \n", + " #optimizer = LBFGS(model.parameters(), lr=1, history_size=10, line_search_fn=\"strong_wolfe\", tolerance_grad=1e-32, tolerance_change=1e-32, tolerance_ys=1e-32)\n", + " if mode == 'from_scratch':\n", + " lr = 1e-2\n", + " if mode == 'fine_tune':\n", + " lr = 1e-3\n", + " optimizer = torch.optim.Adam(model.parameters(), lr=lr)\n", + " \n", + " pbar = tqdm(range(steps), desc='description', ncols=100)\n", + "\n", + " for _ in pbar:\n", + " \n", + " \n", + " def closure():\n", + " global pde_loss, bc_loss\n", + " optimizer.zero_grad()\n", + " # interior loss\n", + " sol = sol_fun(x_i)\n", + " sol_D1_fun = lambda x: batch_jacobian(model, x, create_graph=True)[:,0,:]\n", + " sol_D1 = sol_D1_fun(x_i)\n", + " sol_D2 = batch_jacobian(sol_D1_fun, x_i, create_graph=True)[:,:,:]\n", + " lap = torch.sum(torch.diagonal(sol_D2, dim1=1, dim2=2), dim=1, keepdim=True)\n", + " source = source_fun(x_i)\n", + " pde_loss = torch.mean((lap - source)**2)\n", + "\n", + " # boundary loss\n", + " bc_true = sol_fun(x_b)\n", + " bc_pred = model(x_b)\n", + " bc_loss = torch.mean((bc_pred-bc_true)**2)\n", + "\n", + " loss = alpha * pde_loss + bc_loss\n", + " loss.backward()\n", + " return loss\n", + "\n", + " if _ % 50 == 0 and _ < 500:\n", + " model.update_grid_from_samples(x_i)\n", + "\n", + " optimizer.step(closure)\n", + " sol = sol_fun(x_i)\n", + " loss = alpha * pde_loss + bc_loss\n", + " l2 = torch.mean((model(x_i) - sol)**2)\n", + " l2s.append(l2.item())\n", + "\n", + " if _ % log == 0:\n", + " pbar.set_description(\"pde loss: %.2e | bc loss: %.2e | l2: %.2e \" % (pde_loss.cpu().detach().numpy(), bc_loss.cpu().detach().numpy(), l2.detach().numpy()))\n", + "\n", + " return l2s\n", + " \n", + " \n", + "if mode == 'fine_tune':\n", + " l2s_fine_tune = train()\n", + "if mode == 'from_scratch':\n", + " l2s_from_scratch = train()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "6e62456e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model.plot()\n", + "if mode == 'fine_tune':\n", + " plt.savefig('./pde_fine_tune.pdf', bbox_inches='tight', dpi=200)\n", + "if mode == 'from_scratch':\n", + " plt.savefig('./pde_from_scratch.pdf', bbox_inches='tight', dpi=200)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "301c304f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(l2s_fine_tune)\n", + "plt.plot(l2s_from_scratch)\n", + "plt.yscale('log')\n", + "plt.legend(['w/ prior knowledge', 'w/o prior knowledge'])\n", + "plt.ylabel('L2 squared error', fontsize=15)\n", + "plt.xlabel('training steps', fontsize=15)\n", + "plt.savefig('./pde_loss.pdf', bbox_inches='tight', dpi=200)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/tutorials/Interp_3A_KAN_Compiler_PDE.ipynb b/tutorials/Interp_3A_KAN_Compiler_PDE.ipynb new file mode 100644 index 00000000..148d3b40 --- /dev/null +++ b/tutorials/Interp_3A_KAN_Compiler_PDE.ipynb @@ -0,0 +1,400 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "c982abca", + "metadata": {}, + "source": [ + "# Interpretation 3A: KAN Compiler for PDE\n" + ] + }, + { + "cell_type": "markdown", + "id": "6b9ec6c4", + "metadata": {}, + "source": [ + "In scientific applications, we sometimes know empirical formulas or approximate solutions, represented as symbolic formulas. It would be nice to initialize the KAN network to be the approximate solution, and then fine tune the KAN network. " + ] + }, + { + "cell_type": "markdown", + "id": "a42701c0", + "metadata": {}, + "source": [ + "In this notebook, We aim to solve a 2D poisson equation $\\nabla^2 f(x,y) = -2\\pi^2({\\rm sin}(\\pi x){\\rm sin}(\\pi y) + 4\\epsilon\\ {\\rm sin}(2\\pi x){\\rm sin}(2\\pi y))$, with boundary condition $f(-1,y)=f(1,y)=f(x,-1)=f(x,1)=0$. The ground truth solution is $f(x,y)={\\rm sin}(\\pi x){\\rm sin}(\\pi y)+\\epsilon\\ {\\rm sin}(2\\pi x){\\rm sin}(2\\pi y)$. We set $\\epsilon$ to be a small number, and assume to know the approximate solution $f\\approx f_{\\rm approx}={\\rm sin}(\\pi x){\\rm sin}(\\pi y)$." + ] + }, + { + "cell_type": "code", + "execution_count": 118, + "id": "d8f94f0f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.1\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from kan.compiler import kanpiler\n", + "from sympy import *\n", + "from kan.utils import create_dataset\n", + "import torch\n", + "\n", + "torch.set_default_dtype(torch.float64)\n", + "\n", + "input_variables = x,y = symbols('x y')\n", + "expr = sin(pi*x) * sin(pi*y) #+ 0.01 * sin(2*pi*x) * sin(2*pi*y)\n", + "\n", + "model = kanpiler(input_variables, expr, grid=5)\n", + "\n", + "x = torch.rand(100,2) * 2 - 1\n", + "model.get_act(x)\n", + "\n", + "model.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "id": "381b8a03", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.2\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model.expand_depth()\n", + "model.get_act(x)\n", + "model.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "id": "5c5f92c9", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.3\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model.expand_width(1, 1, sum_bool=False)\n", + "model.get_act(x)\n", + "model.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 121, + "id": "45c8e738", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.4\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model.perturb(mag=0.01, mode='all')\n", + "model.get_act(x)\n", + "model.plot(metric='forward_n')\n", + "# purple means both symbolic front (red) and spline front (black) are active" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "559c326a", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 122, + "id": "c5479a7d", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "pde loss: 1.03e-01 | bc loss: 4.63e-06 | l2: 1.54e-05 : 9%|▎ | 182/2001 [01:12<12:07, 2.50it/s]\n" + ] + }, + { + "ename": "KeyboardInterrupt", + "evalue": "", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/6j/b6y80djd4nb5hl73rv3sv8y80000gn/T/ipykernel_16840/772246820.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 107\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 108\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mmode\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;34m'fine_tune'\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 109\u001b[0;31m \u001b[0ml2s_fine_tune\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtrain\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 110\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mmode\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;34m'from_scratch'\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 111\u001b[0m \u001b[0ml2s_from_scratch\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtrain\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/var/folders/6j/b6y80djd4nb5hl73rv3sv8y80000gn/T/ipykernel_16840/772246820.py\u001b[0m in \u001b[0;36mtrain\u001b[0;34m()\u001b[0m\n\u001b[1;32m 94\u001b[0m \u001b[0mmodel\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mupdate_grid_from_samples\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx_i\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 95\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 96\u001b[0;31m \u001b[0moptimizer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstep\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mclosure\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 97\u001b[0m \u001b[0msol\u001b[0m \u001b[0;34m=\u001b[0m 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grad_outputs, create_graph, retain_graph, is_grads_batched)\u001b[0m\n\u001b[1;32m 190\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0minputs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 191\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 192\u001b[0;31m return torch.autograd.grad(\n\u001b[0m\u001b[1;32m 193\u001b[0m \u001b[0mnew_outputs\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 194\u001b[0m \u001b[0minputs\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/opt/anaconda3/lib/python3.9/site-packages/torch/autograd/__init__.py\u001b[0m in \u001b[0;36mgrad\u001b[0;34m(outputs, inputs, grad_outputs, retain_graph, create_graph, only_inputs, allow_unused, is_grads_batched, materialize_grads)\u001b[0m\n\u001b[1;32m 409\u001b[0m )\n\u001b[1;32m 410\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 411\u001b[0;31m result = Variable._execution_engine.run_backward( # Calls into the C++ engine to run the backward pass\n\u001b[0m\u001b[1;32m 412\u001b[0m \u001b[0mt_outputs\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 413\u001b[0m \u001b[0mgrad_outputs_\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mKeyboardInterrupt\u001b[0m: " + ] + } + ], + "source": [ + "from kan import *\n", + "import matplotlib.pyplot as plt\n", + "from torch import autograd\n", + "from tqdm import tqdm\n", + "\n", + "dim = 2\n", + "np_i = 51 # number of interior points (along each dimension)\n", + "np_b = 51 # number of boundary points (along each dimension)\n", + "ranges = [-1, 1]\n", + "\n", + "mode = 'fine_tune'\n", + "#mode = 'from_scratch'\n", + "\n", + "if mode == 'from_scratch':\n", + " model = KAN(width=[2,[0,2],1], grid=5, k=3, seed=3)\n", + "else:\n", + " # use the model defined above\n", + " pass\n", + "\n", + "def batch_jacobian(func, x, create_graph=False):\n", + " # x in shape (Batch, Length)\n", + " def _func_sum(x):\n", + " return func(x).sum(dim=0)\n", + " return autograd.functional.jacobian(_func_sum, x, create_graph=create_graph).permute(1,0,2)\n", + "\n", + "# define solution\n", + "epsilon = 0.01\n", + "sol_fun = lambda x: torch.sin(torch.pi*x[:,[0]])*torch.sin(torch.pi*x[:,[1]]) + epsilon * torch.sin(2*torch.pi*x[:,[0]])*torch.sin(2*torch.pi*x[:,[1]])\n", + "source_fun = lambda x: -2*torch.pi**2 * (torch.sin(torch.pi*x[:,[0]])*torch.sin(torch.pi*x[:,[1]]) + 4 * epsilon * torch.sin(2*torch.pi*x[:,[0]])*torch.sin(2*torch.pi*x[:,[1]]))\n", + "\n", + "# interior\n", + "sampling_mode = 'mesh' # 'ranndom' or 'mesh'\n", + "\n", + "x_mesh = torch.linspace(ranges[0],ranges[1],steps=np_i)\n", + "y_mesh = torch.linspace(ranges[0],ranges[1],steps=np_i)\n", + "X, Y = torch.meshgrid(x_mesh, y_mesh, indexing=\"ij\")\n", + "if sampling_mode == 'mesh':\n", + " #mesh\n", + " x_i = torch.stack([X.reshape(-1,), Y.reshape(-1,)]).permute(1,0)\n", + "else:\n", + " #random\n", + " x_i = torch.rand((np_i**2,2))*2-1\n", + "\n", + "# boundary, 4 sides\n", + "helper = lambda X, Y: torch.stack([X.reshape(-1,), Y.reshape(-1,)]).permute(1,0)\n", + "xb1 = helper(X[0], Y[0])\n", + "xb2 = helper(X[-1], Y[0])\n", + "xb3 = helper(X[:,0], Y[:,0])\n", + "xb4 = helper(X[:,0], Y[:,-1])\n", + "x_b = torch.cat([xb1, xb2, xb3, xb4], dim=0)\n", + "\n", + "steps = 2001\n", + "alpha = 0.01\n", + "log = 1\n", + "\n", + "def train():\n", + " \n", + " l2s = []\n", + " \n", + " optimizer = LBFGS(model.parameters(), lr=1, history_size=10, line_search_fn=\"strong_wolfe\", tolerance_grad=1e-32, tolerance_change=1e-32, tolerance_ys=1e-32)\n", + " if mode == 'from_scratch':\n", + " lr = 1e-2\n", + " if mode == 'fine_tune':\n", + " lr = 1e-3\n", + " optimizer = torch.optim.Adam(model.parameters(), lr=lr)\n", + " \n", + " pbar = tqdm(range(steps), desc='description', ncols=100)\n", + "\n", + " for _ in pbar:\n", + " \n", + " \n", + " def closure():\n", + " global pde_loss, bc_loss\n", + " optimizer.zero_grad()\n", + " # interior loss\n", + " sol = sol_fun(x_i)\n", + " sol_D1_fun = lambda x: batch_jacobian(model, x, create_graph=True)[:,0,:]\n", + " sol_D1 = sol_D1_fun(x_i)\n", + " sol_D2 = batch_jacobian(sol_D1_fun, x_i, create_graph=True)[:,:,:]\n", + " lap = torch.sum(torch.diagonal(sol_D2, dim1=1, dim2=2), dim=1, keepdim=True)\n", + " source = source_fun(x_i)\n", + " pde_loss = torch.mean((lap - source)**2)\n", + "\n", + " # boundary loss\n", + " bc_true = sol_fun(x_b)\n", + " bc_pred = model(x_b)\n", + " bc_loss = torch.mean((bc_pred-bc_true)**2)\n", + "\n", + " loss = alpha * pde_loss + bc_loss\n", + " loss.backward()\n", + " return loss\n", + "\n", + " if _ % 5 == 0 and _ < 50:\n", + " model.update_grid_from_samples(x_i)\n", + "\n", + " optimizer.step(closure)\n", + " sol = sol_fun(x_i)\n", + " loss = alpha * pde_loss + bc_loss\n", + " l2 = torch.mean((model(x_i) - sol)**2)\n", + " l2s.append(l2.item())\n", + "\n", + " if _ % log == 0:\n", + " pbar.set_description(\"pde loss: %.2e | bc loss: %.2e | l2: %.2e \" % (pde_loss.cpu().detach().numpy(), bc_loss.cpu().detach().numpy(), l2.detach().numpy()))\n", + "\n", + " return l2s\n", + " \n", + " \n", + "if mode == 'fine_tune':\n", + " l2s_fine_tune = train()\n", + "if mode == 'from_scratch':\n", + " l2s_from_scratch = train()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "ac938c7e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model.plot()\n", + "if mode == 'fine_tune':\n", + " plt.savefig('./pde_fine_tune.pdf', bbox_inches='tight', dpi=200)\n", + "if mode == 'from_scratch':\n", + " plt.savefig('./pde_from_scratch.pdf', bbox_inches='tight', dpi=200)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "c411afc0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# sweep epsilon. This is for epsilon = 0.01\n", + "plt.plot(l2s_fine_tune)\n", + "plt.plot(l2s_from_scratch)\n", + "plt.yscale('log')\n", + "plt.legend(['w/ prior knowledge', 'w/o prior knowledge'])\n", + "plt.ylabel('L2 squared error', fontsize=15)\n", + "plt.xlabel('training steps', fontsize=15)\n", + "plt.savefig('./pde_loss.pdf', bbox_inches='tight', dpi=200)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e56f1db2", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/tutorials/Interp_7_Building_in_structural_biases.ipynb b/tutorials/Interp_7_Building_in_structural_biases.ipynb index 6083a301..9e38880a 100644 --- a/tutorials/Interp_7_Building_in_structural_biases.ipynb +++ b/tutorials/Interp_7_Building_in_structural_biases.ipynb @@ -42,9 +42,17 @@ "id": "cbe4788b", "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "checkpoint directory created: ./model\n", + "saving model version 0.0\n" + ] + }, { "data": { - "image/png": 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\n", 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QkJDAbdu20d7envb29ty+fXuGfOGEJiwsjK1atSIAtm7dmuHh4aq/GeI9SK/ExcUxMDCQ/v7+bNu2LfPmzaua7OXNm5dt2rShv78/L168yLi4OEHa/NPvf4ZTLpGRkWzQoAGzZ8/OTZs2MS4ujl+/fqWvry87derEyZMnUyaT8cuXL5wxYwbt7Oy4cOFCrT5ksbGxPH/+POfMmcNWrVoxT548qgc1f/78bNeuHefPn8/g4GDGx8fr8WrTJ9qOQZYsWVi6dGkCYNu2bfnu3TtDX8Jvx44dO2hvb8+sWbNy69at/Pjxo97fg9+d169fc9euXRw6dCj/+usvmpubEwBNTU1ZuXJlDhw4kNu2beOLFy+0vi9p8R1K72Qo5aJQKDhy5EhmzpyZBw4cUA1UREQEHRwcCIBVqlRhQkICSVImk3H+/PnMli0bg4KCUpT57Nkzbtmyhb6+vqxUqRJNTEwIgBYWFqxatSqHDx/Of/75h6GhoWl2remV1I6BiYkJp02bZsiu//a8e/eOnp6eBMAiRYoI+h78CcTHx/PSpUtcuHAh27dvz4IFC6omjbly5aKHhwdnzZrFc+fOMSYmJkU5+vgO/Y5kKOXy6NEj2tvbc8iQIZTJZKrfUxpU8tsqpGnTpvTw8KBMJmN0dDTPnj3LGTNmsEWLFsyZM6fqAXN0dGTHjh25ePFiXrlyRU2OyDeEGAMR3Vi0aBElEok4BgLw9u1b7t27lyNGjGD16tVpaWlJADQ2NmbFihU5YMAAbt68mSEhISolIr4D3zB88Q0BOXjwIGQyGXr27AkjIyPwJ45wyr+ZmZmhb9++aNOmDcqUKYMHDx6ogrYqVaoEb29vVdCWoQpf/U7oMgZdu3bFy5cv03Wa/N+BxMREZM6cWRwDAciZMyeaN2+uClxNWmAtMDAQR48exeLFiwF8K7Dm5uYGmUwmvgMAMoxyIYnAwEAULVoUcrkcw4YNg0KhAADExcXh06dPAL4VaRo2bJgqUV7OnDnRsWNHZMqUCTly5MCAAQNU6SbSQ+Gr3wldx8DExAR3797NEC+WoRDHQL8YGxujXLlyKFeuHPr16wcAeP/+vSodU2BgIM6dO4fy5cuL999AKybBkclkrFatGlu0aMFTp05RKpWqzFk/+1eiRAlGRESwZMmSXLlypaEv47dGHAPDI46BYZHJZKxatap4/5mBzGISiQQmJiaIj4+HRCKBqakp5HI5gG+zucTERLXjlCiPS0hIwOXLl1G2bFk4OTmJFfVSga5jkJiYKKbv0JG3b98iMjISVlZW4hikEQqFAi9fvsSDBw9w9+5dhISEwNra+o+//xlGuRgZGcHR0RH//fcfnJyccO7cOZU988uXL2jfvj3evXuHMmXKICAgQJVh1cLCAp8+fUJYWBhWrFiBFStWAAAcHBxQrFgxODs7o1ixYqr/zpkzZ8aNqNWRxMREGBkZISQkJFVj8PbtW8yZMwe3b99WRVT/CckpU0t8fDxu3LihFpn+8uVL1d9SMwYREREoVKiQwa4pPRMXF4dHjx7hwYMHePDgAe7fv48HDx7g4cOHiI2NBQBIpVKQhJWV1R9//zOMcgGAunXrYuPGjbh37x5q166tUgIfP35UpXywtrZG+fLlVbMDkliyZAnkcjlsbGwQFRUFExMTGBsbIzQ0FI8fP8ayZcsgk8kAAJkyZUpW6RQqVCjDzDi0gSSCg4OxYcMGbNu2DZGRkTA1NU3VGJiYmKBw4cLYtWsX5s6dC+Cbkk+aY618+fIwMzMzzMUamFevXqnl1Lp69SoSEhJgZmaGihUrom3btrCzs8O2bdtw//79VI3B169fceXKFZQsWRJZsmQx2LUakoiICJXiSKpEnj17plIUdnZ2yJYtGyQSCaysrFTKpWTJknBwcMCpU6dSdf8zZ86MEiVKGOCqhSdDKZc6deqgcOHCmDlzJipXrvxL0xZJvHnzBosWLcLgwYMxYcIE3Lx5E6dPn8aZM2dw7tw5REVFwcrKCm5ubihUqBBsbGzw5csX3L9/H3v27MGXL18AQPVhTKpwihUrBicnp9++OFdyvHjxAps2bcKGDRvw6NEj5MmTB71790bz5s3Rq1cvrcdgwYIFiI6ORqlSpbBy5UokJCSobZKOHj0acXFxMDU1Rbly5dTyReXNmzfDrSbj4uJw9epVNWXy5s0bAP/Ll9WuXTu4ubmhdOnSOHv2LKZPn45///0XRYoUQY4cOVL1HuTJkwdDhw7FqFGj0KxZM3Tp0gX169fPcBMnhUKBFy9eqCkP5X8ra8pIJBIULFgQzs7OqF+/PkgiPDwcd+7cwePHj/Hx40cUL14cnp6eqFmzJqpXrw57e3u8fv0aZcuWxfTp07W+/x06dMg4NXvSdotH/+zevZsmJib08/NjdHQ0FQpFsv7lCoWC79+/Z9OmTQmA3t7ejIqKUpOVmJjIoKAgTp8+nXXr1qWFhQUB0NbWls2aNeO8efN44sQJnjhxgkuWLOGAAQNYp04dVVvKf3ny5GHt2rU5YMAALl68mCdPnuSbN29+u2jcL1++cM2aNaxRowYB0NLSkp07d+aJEyfUfPP37NlDa2trjcegefPmLFGiBHv16kVLS0taWlpy4MCBaqlyEhISePnyZS5atIgdOnRgoUKFUhXglh75VaButWrVOGLECO7Zs4dv375VnSeXy7lr1y5WqFCBAFixYkXu3r2bcrk8VWNQtmxZhoeHMzQ0lHPmzGGpUqUIgNmzZ+fAgQN57dq13+6ZjYmJ4Y0bN7ht2zZOnDiRnp6eLFOmjCoaX3mPy5Yty3bt2nHSpEncvn07z507xx07dtDPz091H/D/wam9evXi1q1b1cZCyalTp1iwYEGamprS3Nxc4/vfrFkz1f3PKGQo5aJQKOjr66t6YFq3bs1bt24xKiqKS5cu5cyZM7l582bGxMTw7NmzrFKlCosWLcqhQ4fS0tKSBQoU4KlTp1KUHx8fz3PnznHy5MmsWbOmKn9Y1qxZ2apVKy5evJj37t2jQqHgly9fePnyZW7cuJGjR4+mh4cHnZ2daWxsrHpQbWxsWKlSJXbp0oXTpk3jP//8w/v376er4EyZTMZjx46xY8eOtLCwoEQiYa1atbh+/foflHHSc+bMmUNra2uNx+Dq1askyffv33P8+PHMkiULTUxM2K1bNz58+DDZdsLCwrhv3z6OHDmSNWrUSDHA7enTp+nqo/izQN3ChQuzU6dOXLJkCa9evZrssxAfH881a9bQycmJAFirVi2eOHFC7Rp1GQMlCoWC169f56BBg5g9e3YCYMmSJTlr1iy+efNG7/dJG96/f89z585xxYoVHDx4MBs2bMiCBQtSIpGo7m22bNlYrVo19urVi/PmzeORI0f47NkzyuVyfvnyhYcOHeLQoUNZvnx51XkFChSgt7c3N27c+NO8gF++fGHfvn0JgNWqVeODBw80vv/u7u6USqXcs2dP2t2wNCBDpdyfNWsWRowYgSVLlsDOzg7jx4/Hhw8f4ObmhvLly8PW1hbh4eEIDg7GrVu3UKVKFcyZMwdOTk54+vQpunfvjrNnz6JPnz6YNWvWL5ezcXFxCAwMxJkzZ3DmzBkEBwcjMTEROXPmRI0aNVCzZk3UrFlTrdRwYmIinj179sNS/P79+yoTm7GxcbImtmLFiqWZie3u3btYv349Nm/ejNDQUDg5OcHLywsdO3ZEvnz5fnm+XC7Hzp074efnh7i4OFSpUuWXY5CUqKgorFixAnPnzkVYWBhatWqFUaNGoXz58im2KZPJcOfOHbUNbmXVzuzZs6uVNKhUqRKsrKx0u0kaQBIhISEq815QUBBu3rwJuVwOa2truLi4qPpVuXLln6bOj46OxqpVqzB37ly8evUKLVq0wMiRI1G5cuVkj1eOgTbvQUrIZDIcP34cGzZswN69e5GYmIi6deuiS5cuaNGiRZrUGpLL5SmasiIiIgB8c+wpWLCg2nvj7OwMJycnteJqMTExuHDhgsoEfuXKFcjlcuTJkwe1atVSvbsFChT4Zb9OnjyJHj164MOHD5g5cyb69u0LIyMjje+/i4uL6jm9ePFixqlBY2DlJhhr164lAE6YMEH1W1hYGJcvX87mzZuzZMmSLFKkCF1cXNi7d28eP378h+yncrmcS5YsoZWVFfPly8fjx49r1YevX7/y2LFjHDlyJCtXrqzycXdwcGDnzp25Zs0aPnv2LNlzFQoFQ0NDefr0aS5dupQ+Pj6sW7fuDya23Llzs1atWuzfvz8XLVrEEydO8PXr14LMzMPDwzl//nyWL1+eAGhnZ8f+/fvz0qVLqZZfu3ZtFilSROMx+J64uDguX76cjo6OBMB69erxzJkzGvfn/fv3PHjwIMeOHcvatWvT2tqaACiVSlmuXDn27duXGzZs4KNHjwS5h1FRUTx9+jSnTp3Kpk2bMlu2bKqxc3JyYteuXRkQEMCbN29qnObj48ePnDx5Mu3t7SmVStm5c2feuXNH4z59/x4onykPDw+NxuB7IiMjuWLFClapUkW1Avf29ua///5LuVyulazkiImJ4fXr17l161ZOmDCBbdu2ZenSpX8wZZUrV47t27fn5MmTuWPHDt66dSvF8hWxsbE8ffo0x40bxypVqqjMjjly5GC7du24fPlyrZ+Bz58/s2fPngTAmjVrMiQkJNnjNPkOvXjxgnny5GGZMmX46dOnVN239EaGUC4HDx6kVCplr169kn045HI5Y2Nj+fXrV42yFIeEhLBWrVoEwJ49e6Z6sD9//syDBw9yyJAhPyy1u3Xrxo0bN2pUT+LLly+8cuUKN27cyDFjxrBVq1YsXry46gVBEhNb586dOXXqVP7zzz+8d+/eL683NjaWO3fuZJMmTSiVSmliYsKWLVtyz549Omd0/vr1K83MzDh37lytx+B7EhMTuXXrVlX2ZFdXV+7bt0/rj5lMJuOtW7e4YsUKent709nZWXUPs2bNysaNG/Pvv//myZMn+eXLl5/KUigUfPDgAdetW8fevXuzTJkyNDIyIgBmypSJdevW5bhx43j48GFGRERofc2hoaEcOnQora2taW5uzv79+6c4OdEE5RhERkYyc+bMHD9+fKplKXny5AknTJigSvKYP39+jh07NkVTphKFQsF3797xv//+4/Llyzlo0CA2bNiQBQoUUDNlZc+endWrV2fv3r05b948Hj16lM+fP//luGtiwr57926qJxRHjx5l3rx5aW1tzWXLlmn0HP7qHbhz5w5tbW1Zo0aNDFHj6bdXLhcvXqSFhQVbtmwpaMI3hULBgIAAWltb08HBgUeOHNFZ5sePH7l37176+vr+sEnYu3dvbtu2TaviWImJiXz06BH37dvHmTNnsmvXrnR1dWXmzJlVso2Njenk5MTmzZtzxIgRXLduHQMDA3ns2DH27t2btra2BEAXFxcuXryYHz580Pk6lezZs4cA+OjRI8FkKhQKHjp0SDVrLlmyJDdt2qRTLYyPHz/yyJEjnDBhAuvVq6e6fxKJhKVKlWKvXr24Zs0aXrp0iUePHuXkyZPZsGFD2tnZqe5z8eLF2b17d65cuZJ37tzRaQb/5MkT9u7dm6ampsyUKRNHjRoleNG09u3bs2zZsoLJUygUPHfuHHv27MlMmTKpJgDKJK8HDx7k7Nmz2b17d/71119q987IyIiFCxdmkyZNOGzYMK5evZoXL17USiEndb6pV6+eav8tc+bMKuebGzdu6LyyioyMZLdu3QiAderU4fPnz3WS9z3nzp2jubk5W7du/dsnsPytlcvdu3eZJUsWVqtWTW+a/vnz56xbt67KoywyMlIw2e/evePOnTvZr18/FitWTO1D1b9/f+7evTtVH3uFQsG3b9/yzJkzXLZsGX19fVmvXj3mypVLzcRmZGTE/Pnzs3379ly4cCGPHz/OV69eCbb53a1bNzo5OQkiKzn+++8/NmzYkABYsGBBLl26VJDnQC6X8/bt25wyZQqrVq3KLFmyqN03Y2NjFi5cmJ07d+bu3bsFeyZu3rzJ9u3b08jIiNmzZ+e0adP0ZiLZsmULAfDly5eCyIuOjub169e5ZcsWjho1iq6urrSxsVG7b6ampixXrhw7dOjAKVOmcOfOnbx9+3aqinPJZDJevXqVc+bMYePGjVVtWVtbs2HDhpw1axavXLki6Af60KFDzJMnD21sbLhy5Uq9OYns27ePRkZG7NevX7pyRNGW31a5vHz5kg4ODixVqpSgH/zkUCgUXLlyJTNlysTcuXPz4MGDemknNDSUW7ZsYc+ePVV7DBKJhGXKlOHAgQO5b98+ra/18+fPXLVqFatVq6ZyH27SpAlHjRrFMWPGsHXr1ixRooSqDKzyBa1YsSI7derEv//+m7t37+bdu3e1MmfJ5XJmz56dQ4cO1fIuaM/169fp6elJIyMj5siRgzNmzODnz5+1kqFcvYwfP15t9WJkZMTSpUuza9euHDp0KH18fNRWLRKJhMWLF2e3bt24cuVK3r59W+vZ8fnz59m4cWOVWWnx4sV6d6f++PEjpVIply5dqvE5CoWC4eHhPHv2LAMCAjhw4EA2aNCA+fPnV1MiOXLkYI0aNdinTx9OnjyZvXv3ZvHixQmA9vb29PX15ZUrV7T6cMrlct66dYsLFixg8+bNVStuCwsL1qlTh9OmTWNgYKBePC0/fvxILy8vAmD9+vX54sULwdv4nlWrVhEAJ0+erPe29MVvqVwiIiJYvHhx5s+fP01dIl++fMkGDRoQALt06cKPHz/qvb3169eza9euzJcvn+pjV7FiRQ4bNoyHDx9Odl8gMTGRR44cYfv27Wlubk6JRMK6dety48aN/Pr1a7JtJSYm8vHjx9y/fz9nzZpFb29vurm5qV5i5SZ40aJF2axZM44YMYJr165lYGBgsgovMDCQAPjff/8JfVtS5PHjx+zZsydNTU2ZOXNmjhkzJtmqlsp9l+XLl9Pb21tt1Zg1a1Y2adKEf//9N0+dOpXivotCoeDDhw+5bt069unT54f9ljp16vx0v0WhUPDIkSOsWrWqarW6YcOGNHVDr1mzJhs0aPDD7zKZjI8fP+aBAwc4e/ZsduvWje7u7morOCMjIxYpUoRNmzbl8OHDuWbNGgYGBv70nbh58yaHDBmicr0uXrw4Z8yYkey+o0Kh4P3797lkyRK2bt2a9vb2qtVP9erVOWnSJP7333+ClSROif379zNXrlzMnDkz16xZk6YrialTpxIAly9fnmZtCslv54ocExODunXr4tGjR7hw4QKKFi2apu2TxPr16zFw4EBYWFhg+fLlaNasWZq0++zZM5Xb85kzZxAaGgqpVAoXFxeV2+SdO3ewY8cOhIWFwdnZWeU+7ODgkOp2371790MqjPv376vyWAHfUoYndf8MCgrC4cOH8f79+zSP7g4NDYW/vz8CAgKgUCjQsWNHuLu74+nTpwgKCsKlS5cQFRUFqVSK0qVLq1yB3dzc4OjomOpo/69fv+Ly5csqN+jAwEBVtLeTkxNcXV1RuXJlREVFYevWrbhx4wYqV66MUaNGoWnTpqr062nFzJkzMW7cOAQEBOD58+eqsX306BESEhIAAFZWVio3+KTjW7hw4VSn4ZHJZDh58iTWr1+PvXv3Ij4+HnXq1EH9+vVhZmaGixcv4syZMwgLC4OxsTFcXFxU7sFubm6wsLAQ8jYkS0REBPz8/LB582Y0atQIy5cvT/U7lFpIws/PD0uWLMGuXbvQsmXLNG1fV34r5SKTydCyZUucOXMGp0+fhouLi8H68ubNG/Tu3RuHDh1Cx44dsWDBAjU/en1DEo8ePcK+ffuwdetW3LlzR5X/LHfu3GjcuDE6dOgANzc3veXiio6OxqNHj9QUjqYfpyJFiqjyLAmJsphTUFAQ/v33X5w8eRIfP34EAJibm8Pd3R1169aFm5sbKlasqNdYFyaJcblw4QIOHz6sUshSqRSlSpVCw4YNVbE3P4tx0aUPysnB97EhP5scKP83T548elN6L168wKFDh7Bp0yZcu3YN8fHxAAB7e3vUqVMHXbp0QdWqVWFtba2X9lNi79696NOnD+Lj47FgwQJ07tzZYOmFFAoF2rdvj3379uH48eOoVq2aQfqRGn4b5UISPXr0wIYNG3Dw4EHUr1/f0F0CSWzatAm+vr4wMzPD0qVL4eHhofd24+LisH//fmzYsAFHjx6FVCpFkyZNULNmTSQmJuLcuXP4999/ERkZqfqgKmd+lSpV0vtK4unTpyhcuDBGjBgBe3t7NeUTGRkJ4NvHtVChQskmAbW1tdW4rXfv3qkFTV6+fBkxMTEwNjZG2bJl4ebmhrJlyyIkJATr1q1DaGgoWrRogVGjRqFSpUp6ugP/4+vXr1ixYgX8/f0RGhqKpk2bonHjxvj06ZNqdRMeHg4AcHR0VMuZVqpUKY3HSiaT4dmzZz+sMB88eKB2zx0dHdXu+aRJk/DXX39h06ZNersHSkJDQ9VW3iEhIZBIJChbtixq1qwJZ2dnhISEYMeOHXj69Cny5s2Lzp07o0uXLj8N8BSKDx8+wMfHB9u2bUPTpk0REBCA3Llz673dXxEfH4/GjRvjypUrOHfuHEqVKmXoLmmGAUxxqWL06NEEwE2bNhm6Kz8QGhrKZs2aEQA9PT2TtfPrSlJXT+Vms6urK5cuXZqsTV8ul/P69eucO3cumzRponIPtbKyYv369Tlz5kxeunRJJxfelFi4cCFNTEx+2FTXZkO4evXq7NOnD+fPn89jx47xxYsXjIuL4+XLl7lw4UJ26NBBFVsB/C+/2OzZs1PMLxYXF8dVq1axSJEiKlfSU6dO6cWOHhERwYkTJ9LOzo7Gxsbs2rUr79+//8NxyrxiW7dupa+vL11cXH7IKzZ8+HBVXrGvX7/y6tWr3LRpE8eOHctWrVrp5JAxfPhwZsuWTS9ur+Hh4dy+fTv79OmjSlWD/3cf9/Hx4T///JPiftSFCxf07iqflJ07dzJbtmy0s7Pjpk2b0p2X1ufPn1m+fHnmypVLp1intOS3UC4LFiwgAPr7+xu6KymiUCi4efNm2tnZMVu2bNyxY4cgcp8+fcqJEyeqEjXmy5dPoyC170lMTOSlS5c4c+ZM1q9fn1ZWVqrN5yZNmtDf35/Xr18XJMK6bt26rFOnjlbnJHVlHT9+PNu0aUNnZ2e1QFHlPyMjIzo4OLBx48acPXu21pHVMpmMO3bsYLly5VQfrj179ghy7a9fv+bgwYNpZWVFCwsL+vr6au1dFB0dzf3797Nv374sX768aqy+/5c1a1ZWr16d/fr148KFC3nixAmtXcnPnTtHALx48aK2l/oDERER/Oeff+jj48MSJUqoZSbo06cPd+zYoXVixtjYWO7YsUMvQb7kNwXYpk0bAmCLFi2STUaZXggLC6OjoyOLFi3K9+/fG7o7vyTdK5etW7dSIpFw+PDhhu6KRrx9+5YeHh4EwNatW6cqy+mnT5/U0mtYW1vT29ubZ86cEeQDSH7LMnzhwgX+/fffrF27tiq1hp2dHVu2bMmFCxfyzp07Ws/gPn/+TBMTEy5cuFCr8+Li4hgUFMR58+bR09NT5R2nXJVUqVKFzZo1Y9OmTenm5qZREN6vvPkUCgWPHj2qctMuXrw4169fnyqPrUePHrFHjx4qT7WxY8f+cgWbUhDs9x56Tk5OrFevHlu0aMH69euzVKlSqpWKubk5//rrLw4ZMoQ7d+7UKONDUmQyGbNmzcpRo0Zpfc2fPn3igQMHOGjQIJYtW1YVWV+oUCF2796dmzdvFtSbU5meSDkpyJo1KwcMGJCq9EQKhYLbtm2jvb09s2bNyq1bt6a71UpyPHnyhDly5KCLi0uKiWPTC+lauZw4cYImJibs0qXLbzHwShQKBbdv367Vg5uYmMhDhw7R09OTZmZmNDIyYr169bh582ZGR0frvc9xcXH8999/OWHCBFarVk318cqePTvbtm3LZcuW8cGDB7+8jh07dhDAL5fuL1++5I4dOzho0CC6ubmp2jMzM1N9LHft2pXix1Lo9CEXLlxgkyZNVLEmixYt0ijW5Pr162zbtq0qxmbmzJk/mAOjoqJ+mb7H2tpaq/Q9P1PGDg4ObNOmDf39/Xnx4sVfuut26dKFJUqU+OW1RkVF8ejRoxw+fDgrVaqkcr3Omzcvvby8uG7dujSJASHJW7ducdiwYarA4GLFinHatGkaBYWGhYXpPAE0JNeuXaONjQ3r16+frjKof0+6VS5XrlxRRdum5xv4M5IuuVu2bJnskvvGjRscNGgQc+TIQQAsUaIEZ82apfUMVGiio6N54sQJjh49mm5ubqpSAblz52bHjh25atWqZFPZd+7cmSVLllT7LTY2lufPn+ecOXPYqlUr5smTR/UhLFCgANu3b88FCxbw0qVLgpg6oqOjeePGjR8SHyrzS+H/g0mTS3x4+fJldujQgUZGRsyWLRunTp2abBzPf//9p4p5UmYHCAkJMWji0Tdv3nD37t0cNmwYq1SpolqNmpqasnLlyhw4cCC3bdvGFy9eqLW3c+dOAvgh8WJMTAxPnjzJMWPG0N3dXfUM5MqVix06dODKlSv55MkTg078tCkJoS/TtSE4deoUTU1N2alTJ8GsGUKTLpXLo0ePmC1bNlauXDnFoL/fie83C9+8ecM5c+aokjBmy5aNfn5+6boYU1RUFI8cOcJhw4axYsWKqllrvnz52LVrV65fv54hISHMmjUr+/Xrp3Xhq7RAJpPx6dOnPHToEOfMmcMePXqwSpUqzJo1q5qJzdHRkTVr1mSZMmVobGxMS0tL+vn58e3bt9y3b58qa3SOHDlYtWpVuri4/JDPrVixYmzRogVHjhzJ9evXMzg4WOusAbqiaYG1o0eP0tjYmHPnzuXZs2c5ceJEVq9eXbWazJYtG9u0acOlS5fy/v376fYZ/fz5c4rF7F69eqVyumnXrp1enG7Smu3bt1MikXDIkCGG7kqypDtX5LCwMLi7u8PMzAznz59P09gRffLq1St4enoiMDAQwLeyyC1atPhty8h++vQJ586dw7Fjx3Ds2DE8efLkh2MKFCiAKlWqqNxrtXGtTWs+fPig5sJ7584d3LlzB2/fvkVKr4i5uTmcnJxQunRpODs7q9x7HR0d0+11KuuIKN2gg4ODERcXp3aMlZUV3N3d0bhxY9SuXRvFixdP8wBPXXn+/LmqDPfjx48hkUhgYWGB6dOnw9fX19DdE4zFixfDx8cHs2fPxtChQw3dHTWMDd2BpHz+/BkNGjRAQkIC/v33399esSgUCpw/fx4bNmzAzp078eXLFzg5OeHt27eQSCRo3LgxGjdu/NvUf+dPCl9ZWlrCwsICnz9/Rq5cufDq1Ss8f/4c5ubmsLGxQfbs2ZEvXz7Y29sb+jJUkMTbt2+TzT6grFcPfCtApVAoYGZmBplMBrlcDiMjI8TFxeHmzZt49OgRnJycfojZKVq0KMzNzQ14herI5XK8evUKDx8+xI0bN3D16lXExcXB0tISmTNnxtu3b+Hg4IDXr1/jxIkTuHnzJk6fPp3mBdaEoECBAvD29lYVjCtcuDDev38PPz8/bNy4EV5eXmjXrl26eh5Tw4ABAxAeHo5hw4Yhe/bs6NKli6G79D8Mum5KQmxsLGvUqEFbW1vevn3b0N3RicePH3P8+PGqOIwCBQpw/PjxqtTzHz58YKdOnQiAjRo1Mvj+Skr8qvCVl5cXAwICeOPGDcpkMhYrVoze3t4kv22abtu2jb1791bFlQBgqVKl6Ovryz179ug9N5uShIQEPnjwgHv27OH06dPp5eVFFxcXVewP/t+U5ezszJYtW3Lw4MFs164d7e3tKZFI2KZNG1UJ4OjoaC5YsEC1l+Lq6kpfX1/27NmTVatWVeXAAr4ltSxUqBAbNWrEIUOGcOXKlTx//rzeYjW+Ry6X88aNG5w3bx6bNm2qMt1ZWlqyXr16nD59OoODg5mYmMjnz58TALdv364qsDZmzJg0KbAmNAqFgmvWrGHmzJmZM2dO7tu3j+Q3J4hdu3axWbNmNDY2prGxMZs3b87du3frPUeZPlEoFOzRowelUikPHTpk6O6oSBfKRSaTsXXr1jQ3N+e5c+cM3Z1U8fHjRwYEBNDd3Z3At+Jd3bt359mzZ1PccEuaFG/16tUGfVF1LXz16NEjAkixDvjr16+5ceNGduvWjQUKFFB9fMuXL88hQ4bw4MGDOu9JfP78mZcuXeKGDRs4atQotmzZksWKFVNtRCuvxcXFhV5eXpw+fTr37NnDBw8eMCEhge/fv+e4ceOYJUsWmpiYsHv37inGE8XHx3Pt2rWqpJc1a9bk8ePHqVAo+P79e54/f54rV67kkCFD2KhRIxYqVEjNi83e3p5Vq1Zlz5496e/vz8OHDzMkJESnzVmFQsG7d+9y0aJF9PDwUO0lmZmZsWbNmpwyZQrPnz+fotNE6dKl2alTpx9+/1WiT20KrOmb75PLplQT5t27d1y4cCErVqyocsHv168fg4KC0qXC/BWJiYls3rw5LS0tGRQUZOjukEwHykWhULB///40MjJSzTB+FxISEnjgwAG2adNG5T7coEEDbt26VWP34e/TeQtVX+NXfPr0icePH9eo8JUm0dtz586lmZmZxg4Yz54945o1a9i5c2fVKkAqlbJy5cocOXIkjx07lqwshULB169f8+TJk1y8eDH79+/P2rVrq3mg4f/dcevUqUMfHx8uWbKEp06dYmhoaLIfjpcvX9LPz4+Wlpa0tLTkoEGD+OrVK42uQy6Xc/fu3aqPVIUKFbhr165klURMTAxv3rzJ7du3c9KkSWzXrh3Lli1LCwsLVb/Nzc1ZpkwZenp6cuLEidy2bRtv3LiRrFu0QqHgo0ePGBAQQE9PT5XHoYmJCatUqcLx48fzzJkzGte4GTNmDLNkyaJR1gZNC6zdv38/TbyZlGUxbGxstC6LcefOHY4YMUL1DBUtWpR///234IXA9E1MTIzKQSW5bBBpjcGVy5QpUwiAq1atMnRXNEKhUPDatWv08/NTmYlKlSrFOXPmMDQ0NNVykxYiWrFihaCzJ7lczrt373LVqlXs0aMHS5QooZpF29raskGDBpw0aRKPHTuW6to4NWrUYMOGDVN1rvIjuXz5crZr107tI+ns7MyaNWuyXr16rFChgloBKhMTExYvXpweHh4cPXo0N27cyMuXL2s8e37w4AG9vb1pYmLCLFmycPz48amOfFYoFDx+/Dhr1qypMhuuWbNGI9dquVzOZ8+e8ciRI/T392evXr1YrVo1NTOkRCJhwYIFVfeicuXKKhOcVCqlq6srR40axePHj6fawzIoKIgAePbsWa3PVT5jq1evZo8ePViyZEnVM5YlSxY2aNCAEydO1OkZS4mkBf26deuWavkymYwnTpxgp06dVJUsa9asybVr1xp8RaYpHz9+ZMmSJZkvXz6Dm9sNqlxWrFhBAJw6daohu6ERb9684axZs1iyZElVcN6gQYN448YNwdoQqoTqrwpf9erVi2vXrhVsVqksPLVs2TKtz/38+TODg4O5fv16jhw5ki1atGDRokUplUrVPqzK/hcqVIjt27fn5s2bU/0RvXr1Klu3bk2JRMJcuXJxzpw5gn48goKC2Lx5c1WA4YIFC1IdCHvr1i2OHTuWf/31l9oeUdJ/dnZ2rFKlCnv06MG5c+fy0KFDfPr0qdb5wuRyOXPkyCFYgbdPnz7xxIkTnDx5Mhs1aiRogTVSP6XIlXz58oXr1q1jrVq1KJFIaGFhwY4dO/LYsWPpvvzw69evmS9fPpYsWTLN9jWTw2DKZc+ePTQyMqKPj0+6tXFGR0dz8+bNrF+/Po2MjGhmZkZPT08eOnRILwkflRw9epQODg60trbm0qVLf/riCVH4Slc2b95MACmakpSmrBMnTnDRokXs378/a9Wqxdy5c6t9JPPmzcu6devSx8eHS5cu5enTp/n27VvKZDLevHmT8+fPZ7NmzdQ2puvWrcvp06czKCjop2OiUCh45swZ1qtXjwDo6OjIFStW6HUj986dO+zcuTOlUint7e05ZcqUX77sYWFh3Lp1K3v16qXmCFG6dGn6+flx7969/PjxI2NjY3nr1i3u2LGDkyZNYvv27VmuXLkfTGylS5dm27ZtOWHCBG7dujVFE5uS7t27s2jRokLfCpK6F1hLSkhICGvVqkUA7Nmzp97KQZPkixcvOHXqVFXyzdy5c3P48OG8c+eO3trUlfv37zNr1qysUqWK3quapoRBlMvZs2dpZmbGtm3bprvoUrlczjNnztDb21vlJVOlShWuWLFC7+WUk/L582f26tVLtTRXRk9/78mjNBN978nz+PHjNFPa7dq1Y7ly5RgfH8979+5x9+7dnDp1Kjt37syKFSuq7qPSlFWiRAm2atWKY8aM4aZNm3jlyhWt8iTJZDJeuXKFs2fPZsOGDVXybWxs2KhRI86ePZtXr16lTCajXC7nvn376OrqSgAsU6YMt23blqazz2fPnrFfv340NzentbU1hw0bpjKhvn//nrt27WL//v3p7Oysuk/Ozs7s168fd+3apZWpTi6X8/nz5zx69CjnzZvH3r17s3r16syePbvaSrBAgQJs2LAhBw0axOXLl/O///7ju3fvuHfvXgLQOjFqalF6JE6bNo1NmzZV87ZLziNRLpdz8eLFtLKyYr58+Xj8+PE06Sf5TTkGBwezf//+qlVY+fLlOX/+/HSZQiYoKIiWlpZs1qyZXifDKZHmyuXWrVvMnDkza9Wqla7c/x4+fMixY8eq0r8XKlSIEydO5JMnTwzWp8TERC5btkyVtj2pDT579uxs3rw5p0+fzn///TdNMxl8+vSJQUFBXLduHYcOHUpjY2NmzZpVzZSVOXNmurq60tvbmzNnzuS+ffv46NEjvTzkCQkJDAwM5LRp01i3bl3V7N3S0lKlfMuVK8cDBw4YdJUcFhbGgQMH0tLSklKpVM2JonDhwuzVqxe3bt2qt8wFERERvHDhAlevXs1hw4axSZMmLFy4sGr1oDSxSSQSuri4cM6cOTx48CCfPHmSZspYoVDwyZMn3LhxI/v378/y5curnitLS0tVUs8GDRr8kK4mLYmPj+c///zDFi1a0MTEhMbGxmzatCl37typsQNFWnD48GFKpVL26NEjzZ/9NFUuz549Y65cuViuXLk0T4WRHBEREVy6dKlqVpspUyb27NmT586dM8hHKDw8nHv37uXIkSNZvXp11aaiVCpVKZZixYrxzJkzeu+fQqHgq1evePz4cS5cuJD9+vVjzZo1VYkCkyo5/H9KjWXLlvHMmTN8+/atwT7iMTExnD9/vqpOu52dnSqNib29PVu3bs0lS5bw3r17adLHL1++8PDhwxw6dCgrVKig+pDb2trS3NycEomEzZs3582bN/Xel5SIi4vj7du3uXPnTk6ePJm5c+emtbW16vlTujOXKlWKbdu25fjx47llyxZev349TZKqRkVF0cfHhyYmJrS0tGSWLFlU/XJ0dGSnTp24ePFiXr161SB5CN+/f8/FixezUqVKqrHt06cPL168mC5M/uvXrycAjh07Nk3bTTPl8v79exYtWpSOjo4MCwtLq2Z/ICEhgfv27WOrVq1oampKqVTKRo0acfv27Wlqm1TmfdKm8NXp06dZsGBBWlhYcP78+YKYFOPj43n37l3u3r2bf//9Nzt16sQKFSqombJMTU1ZokQJtm7dmmPHjuXmzZt59epVRkVFceDAgcydO7fBX6LPnz9zxowZzJEjB42MjNiuXTuVs0VMTAxPnTql2hhXxr3kzJmT7du354oVKwQzI0ZHR/P48eMcNWoUXV1dVbPuPHnysFOnTly9erVqxh0TE8PFixerVstNmjThhQsXdO6DrgQEBFAqlfL9+/d88eIFjx07xvnz57NPnz6sXr26yptP+S9//vxs0KABBw4cyICAAJ49e5bh4eGC3M9Hjx6pSk/079+fUVFRWhdYS0vu3bvHUaNGqdzrCxcuzMmTJxu8wNfs2bMJgIsWLUqzNtNEuURFRdHFxYXZs2c3iJlJoVDwypUr9PX1Vdl0y5YtS39//zR7+EJDQ1PMWOvq6sqBAwdy+/btP2Ss/Z6oqCgOGDCAAPjXX39pbBuPjIxkYGAg165dy+HDh7NZs2Y/eGXZ2trSzc2N3bp146xZs7h//34+fvw4RVOWQqGgo6Mje/Xqlap7IgTh4eEcPXo0M2fOTFNTU/bq1YuPHz/+6Tlfv37lsWPHOGLECLq4uKhWEw4ODuzSpQvXrl2rsadebGwsz5w5w/Hjx7Nq1aqqj1z27Nnp6enJgIAAPnz48KdjmpCQwA0bNrB48eIEwGrVqvHIkSMGU9ivX78m8POqrx8/fuTFixe5Zs0aDh8+nE2bNmWRIkV+MLG5u7uzW7dunD17Ng8cOMDHjx9rZGKTyWT09/enubk5CxUqxDNnzvz0+JiYGF64cIFz5sxh69at9Z55+1fI5XKeOnWKXbp0URV7q169OlevXm0wq82QIUMokUi4ffv2NGlP78olISGB9evXp42NDa9du6bv5tR49eoVZ8yYoXppc+bMySFDhujdBPGzWht58+Zl27Zt6e/vz8DAwFTbZ//99186OjrS3Nycc+bMoUwmo0Kh4MuXL3ns2DEuWLCAffv2ZY0aNVQmoqQzzfr169PPz48BAQH8999/GRYWpvXH7O7duwSgVcCaUDx//pwDBgyghYUFraysOGTIkFQXplIWvRo8eDDLlSuncn0uWLAgu3XrpspkTX5b6Z0/f55TpkxhrVq11IqseXh4cNGiRakqskZ++yDt3buXLi4uqn2i7du3G8T1tUKFCmzbtq3W58XFxfHOnTvctWsXp0yZwo4dO7JChQpq1TRNTU1ZsmRJtmnThuPGjePmzZt57do11b7hgwcP6ObmRolEQj8/v1TvJ7569Yo7duzg4MGD1WoGJS2w9rOaQUIRFRXFDRs2sE6dOpRIJDQ3N2f79u155MiRNN1ol8vl7NSpE01MTHjy5Em9t6dX5aK8GFNTU546dUqfTan4+vUrN27cmKYD+X3hK2XdEE0LX2mL8gXetGkT3dzcCEBVVlfTF1gIZsyYQQsLizQ1J967d49eXl4qJ4JJkyb90m1VWyIiIrhnz54fyvVaWlqqTGrW1tZs2rSpoOWhlSgUCp46dYp16tQhABYpUoSrVq1Kkxm3kokTJzJTpkyCtSmXyzWa+Nja2lIikdDW1pZDhw5N9cQnOX416dOmwFpqUU54lZ6BuXLl4tChQ3nr1i29tPc9CQkJbNCgQZpM9vWqXIYOHZomyzDlEtTLy0s1Q6pWrRpXrVoluP97Wha+Smp6GDZsmMr0kNSUlSVLFpYsWZKZMmWisbExvb29+fDhwzSZ7f71119s1qyZ3tshyUuXLrFly5aUSCTMkycP582bpxcPOblczmvXrnHOnDls3LixKnDRzMyMefPmVfPYK1GiBAcMGMDdu3frLRnlpUuX6OHhobpuf3//NClve/XqVQJIkxluZGQkt27dqqo34+jomOxz7ubmRm9vb41MtpqS2gJruqJQKHj58mX6+PiocsCVLVuW8+bN0/uetHKbIkeOHHrdptCbckmLDaT79+9z9OjRzJs3r9rmmVAuisqNQ30WvpLL5Xzx4gWPHj2q8abp8uXLf9g0jY6OVtlUXVxcePfuXUHuQUq8e/eORkZGek3bo1AoePLkSdauXZvAt5xPq1evFnQGr1AoePv2bS5cuJAtWrRQeSKZm5uzdu3anDp1Ki9evKjmhfTmzRtu3ryZPXr0oKOjoyp2pGzZshw0aBD3798v+KTm3r177Nq1K42NjWlnZ8eJEycKvmJLikKhYJ48eejn56e3Nshv7vbTp0+nmZkZnZyc1Bwa4uLifnA2+T5u6ntnk02bNvHq1aupnnhoWmAtqaONrsTHx3Pv3r308PCgiYkJpVIpGzduzO3bt+vNrfn9+/d0cnLSq4OVXpTLhg0b9Or6dvr0aZVd2tbWlr179+aFCxcEm1k8e/aMLVq0UFuyFy5cmJ06deKSJUt0dnlUKBTs1KkTy5cvL7i758WLF+nk5ERTU1POnj071X38FevWrSMAvTlEXL16VW3vYceOHYKuxj58+MA2bdqoViKmpqasXr06J06cyLNnz2plFnnx4gXXrVtHLy8vlanFyMiIlSpV4rp16wTrs7ItHx8f1V7TyJEj9bbx36dPHxYsWFBv8p88eaKqajps2DCNP9aausnny5eP9erV03lPMCwsjPv27ePIkSNZo0YN1TtrbGzMihUrct68eTrJT8qHDx/UwiMyZ87M3r176yXY/Pnz58ydO7feQkN0qkQ5ffp0XL9+HaampmjYsCHq1aun8bnZsmXTSP7jx48xceJEWFhYaNU3TeVHRkZi2LBhWsnWVL6yjQcPHqBDhw4oV66cVoXBNL2GHj16YOXKlbhx4wasrKwwefJkjYpUaSr/8uXLMDc3R9u2beHu7q7xNWgq/9atW7CwsICZmRmKFCmCRo0aaVQoTpsxuHv3LqpVq4YqVarA1tZW40qRml5DoUKFcPDgQcTFxaF79+6oUKGCoPLfv3+PUaNGaSQzNfJDQkLg7OyM3Llzw83NDZaWloLKDw8Px9ChQ2FmZqaRXG3kK9t4+vQpPn/+jMKFC8PPzw9SqVSwNpTvmba0a9cOp06d0ki+sbExunbtqvotPj4ez58/h5OT00/P1bT/LVu2VHuvSGL06NFwcHBA//79dZKfHDpVojQ3N8eKFSvw+fNnbNy4EePGjcOiRYsEK/Fqbm6OLl26oG/fvpg+fTqcnZ1hbGwsWOVGc3NzZMmSBevXr8eQIUP0UhHS3NwcI0aMwPr167F79274+vqiRIkSgl7D4sWLYW9vj+XLl+PJkyfw9PTEhQsXBGnD3Nwc8+bNg0QiQUBAAA4fPozhw4ejcOHCAvT+m/z58+cjLi4OsbGxuH37NiZNmoRmzZqhXbt2gl3D1KlTceLECSxatAgKhQJZs2ZF7969kT9/fkHkv3jxApMnT4aVlRV69OiBKVOmoEyZMjrLVsovUKAAAgICMG7cOEFkfi/fz88Pz549w8uXLzFkyBAMGzYMlStXFky+q6srhg0bhubNm6N27dqwt7cX9H0zNzdH9+7d4ezsjBMnTqBfv37Ytm0bTE1NBZOv7Ud2+vTpWLZsmcbyN27ciKFDh6ruS+XKlfH69Wu1qqipxdzcHF27dkVQUJDqN09PTwwePBh79+6FTCZDrly5dG5HDV2WPf7+/qr/VigUPH36NBs3biyYnVApPywsTFXtb+zYsYJFvvr7+1OhUPDvv//m5MmT9eJNprwGhULBx48fs2/fvhw9erRgNnl/f3926dJF7X4cP36cW7ZsEUy+EmXiwfbt23Pnzp2Cy1cSHx/P8ePHC5YtO2kbMpmMX7584c2bN1mjRo1Uuy9/Lz/p/U9MTKSbm5tge39K+ZMnT07RzBYXF8ezZ8+mylz7/Rh8/vyZ7du3F6yqoVL+x48fuW7dOnbv3p2DBw/mjRs3BDO5fX8NwcHBbNy4MV+8eMG4uDid20nuOf0ZiYmJLF26tFbyo6KiOHPmTJLfHIeGDx/OW7duCZLZ2N/fn0k/9xEREezbty/Jb+917ty5kz3v3bt3qW7TSCglJZFIULNmTUybNg1NmjRBTEyMUKKRI0cOzJ8/H7Nnz4anpyd2796N2bNng6m36KmQSCQYPXo08ufPDy8vL1y4cAGJiYkC9PrHdgoXLowlS5agTp068PLywtmzZwWRvW7dOrVZYN26deHl5SWI7KRIJBIULVoUGzduxMmTJ3HgwAHB2wAAU1NTTJw4ETKZDHv27BFUtlQqhY2NDUqXLo2DBw+iRo0agj1HSoyNjXHy5En4+Phgx44dkMvlgsgfO3YsTp48iYsXL6r97ePHj2jVqhVu3LiB+vXr69xWpkyZsGnTJmzevBlnzpzRWZ6SLFmywMvLC8uXL1eZcqdOnSrI/f8eFxcX+Pv7Y9asWfDx8cHw4cORkJAgeDsp0bx58x/G6VdYW1tj7NixIIk6depgxowZKFWqFKpWrSp4/ypVqoQlS5YA+PZspbTCK1++fKrbEEy5KCldujSWLFmChg0bIj4+XjC5EokEmTNnRsmSJVWKZf369YLJ7tKlC2bOnImTJ0+iZ8+e2LRpE+Li4gSR/31bNWvWxKZNm7B9+3asWLFCEJnfs3//frx8+VJn2ckhlUqxbNkyLFq0CK9evdJLGxKJBOPGjVMpGX1gZWWFffv2oXfv3oLLtrS0xD///IO3b9+ic+fOgrwLEokE69evx8SJExEYGAiZTIa7d++iTZs2WLp0KXx9feHh4YGoqCid2zIyMsLGjRsxffp0PHv2TGd5SZFKpXB2dsaiRYuQPXt2TJ8+XVD5SooWLYqFCxdi/vz58PDwQJ06dfTSzvc8fPgQxYoVg5WVldbnHjp0CBs2bECmTJlU7/Xdu3cF6Ve9evVAEk+fPoWXl5fadyMwMBDv37//4Zyke0DaIrhyAQAnJyesWrUK9evX18usRCKRYPjw4di5c2eyNyS1ODg4YPz48Zg3bx5kMhk6duwo+IulxNraGkuWLMGLFy+wefNmweXXr18fLi4ugstVIpFIcOjQIdSpU0eQmXlKbVy4cAFNmjTRi3wAcHZ2ho2NjdazTE0wNTWFn58fxowZgzp16gjyLhgZGeHgwYPYtGkTfH19sXDhQuzcuRP58uUDAPTv31+wma6RkREOHTqExo0b60XBSyQS9OrVC0+ePEFYWJjg8oFv12BpaQk3Nzd06dIFV69e1Us7ShQKBerVq4c5c+ak6vy6desiMTER+/fvV/1WpEgRQfq2f/9+LFq0CHXq1Plh7y5nzpw/PDfR0dGYNGlSqtvTi3IBvt2QGTNmpMrDQhMkEgn27dsHFxcXQRWYRCJBlixZ0LVrVwQEBKBr1656e/AlEgn+/vtv7Ny5Ey9evBBcdsGCBfWi3JWYmJjgyJEjaNWqld7asba2hrW1tV5NGnPmzMHQoUP1tgorUaIExo0bB39/f0HkmZqaYvHixZg2bRoCAgJgZ2en+ptEIsHt27cFaQf4NsYnTpzQq4JfvXq1xt51utC9e3dUr15dr2107NgRp06d0slZoUePHjA2/p+v1dmzZ6FQKHTum5mZGaKjo3HixIlk+/fw4UO1/+/h4QEjo9SrCL0pFwBwdXVFgQIFNHLFSw3GxsZYsmQJtm3bphf52bJlw+HDh1GnTh1BBjc5JBIJdu/eLZjtPymnT5/G7NmzBZX5PYUKFUKTJk2watUqvbWxfft2NGjQQG/yJRIJTp06hRYtWiA6OlovbdSrVw+7d+8WzNQqkUhga2ub7Edi9erVgj5LefLkQfPmzbFv3z7BZCZFIpFg1KhRgk+wkmtnxYoVePz4sV7kr1y5Eu7u7oJ5UirJlSsXRo4cKYiskSNHpti/nDlzqv3/48eP69SWXpULAIwdOxZ+fn562b8AgEaNGmHs2LF6+/hbWVnhwIEDaNu2rV7kA99s0IcOHcLgwYMFlWthYYFZs2bpdfUCfJsRHjlyBE+fPtWLfKlUCqlUqre9F+DbvTp27BiqVq2qt/t15swZ1KhRQy+yk+Ll5YXVq1cLKrNPnz4YP348YmNjBZWrpH///qhUqZJeZCelffv2ejEXHz16FMHBwRgwYIDgsgEINkn82Yrqv//+E/TZ17tyUdrNa9WqpbeX9tKlS2jfvr1eZANAwYIFUaJECdy6dUtvbRQvXhyhoaGC7iEBwOXLl9G/f38EBwcjKChIL/sjEokEO3fuRL169fSm5A8fPgwPDw+9yFZib2+POXPmYNGiRXqRb2ZmhmbNmuHGjRt6ka9EIpEI7qSgfI+rV6+ut33UoUOHpsnqZfz48Xjy5IlgMk+cOIE1a9Zg5cqVeomVA6BmJtMXhQsXVtsratq0qU7y9K5cACBz5szw9fVFQECAXuRnzZoVuXLl0uvHf+LEiahdu7ZeVwFbt24VfFZVsGBBtGrVCufPn8f58+fRpk0bvVyDVCrFiRMn9OICDXyz/ZuamiIiIkIv8pXUqlULS5Ys0ds4jxo1Sm+OLknRh3xra2uMGDECCxYsEFw2AAwbNgyurq56vzcDBw6Em5ubzu2QxMaNG7Fp0yZs27ZNb4oFALZt26b3+yKRSDBixAgAQGxsLHbs2KGTvDRRLsC3NAhHjx7Vm3vsvHnz0KpVK71t/EokEhw/fhyLFy/Wi3zgm2fL/PnzsXv3bkHl1q5dG0OGDMGQIUPQvXt3Qdyfk6NQoULIkSOHYK6T37Njxw789ddfelsdKbl06RL69u2rF9kSiQSnT5/G1KlT9SJfyZw5c/TyMWrVqhUCAwP1YgKVSCTYsGEDJk2apNcPqUQiwebNm7Fly5ZUy4iMjISvry9evnyJdevW6bTxrQkeHh6pSv+jLcoVUosWLTRKIfUz0ky5AMA///yj12X1uXPn9DorLFeuHObPn6/XB7958+YYOHCg3u5R48aNsWDBAr1dw+zZs1G3bl29yFfGXnTp0kWvY5A5c2YEBQXpTYmVKFECO3fu1KuSHDRoEK5fv64X2Vu3btXbKr5u3bowNjbW+15hvXr1MG7cOK3bUCgUOHjwILp374527dph9OjRel2xKFE6IyQkJIDfEg4DgKDB6sC3b3RERITOm/mAAMpFeaGa/DMyMsKBAwe08nzQRn6OHDkwaNAgrWaF2sgnicuXL8PHx0dv94gkLl26hEGDBulNflBQkFYzc21kA8DJkycxevRovcivWLEi6tWrhxkzZmgsPzX36MKFC+jXr59e5ffq1Utv8gFo5WGnjWzlKl6bhK/ayB8zZgxMTEy03sROzXumzbs8d+5c9O3bF9euXcOmTZvg7u6uUbtC9f/y5cvo2rUrhg0bhokTJ2LJkiXo2bOnoPencePGqFKliipzgjb9/x6ddoksLS1TtTmpaYK01MjPmzevxq6Gqe2/NkFNqW2jQIECepXv7OysV/nZs2fXm/xSpUrh3bt3Gh+fXu9RqVKl9Cp/7NixepXv4OCgN/k1a9bEyZMnNT5e3++ypaUl5HI5GjZsiPz58/8QE/IzypUrp5F8TfrfvXt3xMTE4PPnz/jw4YPGk0Rt7o+vry9cXV1Vx2vS/+TQKeW+Lst6TWyUv7v8tGhDlP9rfvdrEOX/mt/9Gn53+cmel+oW/7/R5P4tWrQIUqkUCxYsSPEYXeSfOnUKUqkUt27d0ov8ffv2QSqVIiQkRCf5ybUhkUgwcOBAmJiYYO/evSnK1/UahgwZAmNjY/zzzz96kb969WqYmJggMjJSL/IXLFgACwsLxMTECD4GJNGqVStYW1sjODhYL2NAEm3atIGVlRWCgoL0co/GjRuHbNmyQaFQ6EX+oEGDkD9/fkgkEsHlx8bGwt3dHTlz5sTTp08FH2MjIyPExcWhSpUqyJEjB548eaKXe9S5c2eUL19eb+9xy5YtUa1aNb3If//+PYoWLYpixYohIiJC5zH4AeqJkSNHEgA3bdokuOz4+Hja2Nhw8uTJgssmSW9vbxYrVkwvsqdNm0YADAgI0It8JXK5nO3bt6epqSnPnDkjuPzQ0FAC4IYNGwSXTZI1a9ZkgwYNBJerUCjYq1cvSqVSnSsU/orY2FhWr16dWbJk4Z07dwSXHxgYSAD877//BJetUChYsGBB9unTR3DZCQkJbNSoEa2trXnlyhXB5SclIiKCzs7OzJ8/vyDlFb5n69atBMAXL14ILjsmJoYWFhacMWOG4LK/fPnC8uXLM1euXHz27Jng8slvGzZ6QaFQ0Nvbm8bGxjx27Jjg8tu0acNKlSoJLlcmkzFbtmwcPny44LJXrVpFAJw0aZLgspMjPj6edevWZaZMmXj9+nXB5VeqVIlt2rQRXO7Hjx8plUq5dOlSwWWPHz+eAAQvP5wSnz59YpkyZejg4MCXL18KKlsulzN79uwcNmyYoHJJ8s6dOwTAw4cPCypXoVCwS5cuNDEx4fHjxwWVnRIvX76kg4MDS5cuzcjISEFlR0ZG0tjYmEuWLBFULkkePHiQAHjv3j1B5cbFxbF27drMlCkTb968KajspOhNuZDfCuY0adKEVlZWvHTpkqCyN2zYQACCz0YuXrxIADx37pygcvft20cjIyP27dtXbzXJk+PLly+sWLEic+bMyadPnwoqe/LkybSxsWF8fLygcrds2UIAgn+MlyxZQgCqgkxpRWhoKAsUKEBnZ2d++PBBUNndunWjk5OToDLJbytsKysrwQr/KRk+fDgBcOvWrYLK/RV3795llixZWK1aNcGvqVatWqxfv76gMkmyV69edHR0FPR7IZfL6enpSTMzM/7777+CyU0OvSoXkoyOjqabmxvt7e358OFDweR++PCBRkZGXLFihWAySXLUqFHMmjUrZTKZYDLPnz9Pc3NztmrVSlC5mhIeHs7ChQuzcOHCDA8PF0zu9evXCUDwGWj79u1ZtmxZQWXu3LmTEomEAwcOTFPlruThw4e0t7enq6srv379KpjcPXv2EAAfPXokmEySdHNzY4sWLQSVOXfuXALg/PnzBZWrKRcuXKCFhQVbtmwp6Hs4b948mpqa8suXL4LJVFaHHDhwoKAyfXx8aGRkxN27dwsmNyX0rlzIb4pAH3bPKlWqsGnTpoLJI8mSJUuyc+fOgsm7c+cObW1tWb16dcFnTNoQEhLCnDlzskKFCoK9BAqFgnnz5qWPj48g8shv9nhbW1uOGzdOMJmnT5+mqakp27dvT7lcLphcbbl06RKtrKzYuHHjVJUjTo6vX7/SzMyMc+fOFUQe+W0yIpFIuHr1asFkbtq0iQA4cuRIwWSmhv3791MqlbJXr16CTTKePHlCAIJ+sK9cuUIAPHXqlGAylfu9y5YtE0zmz0gT5ULqx+45a9YsmpubMzo6WhB5ISEhBCBYffgXL14wT548LFOmDD99+iSITF24fv06M2XKxDp16ghmyurXrx/z588v2It6+vRpAuDly5cFkXft2jXa2Niwbt26gpvvUsOxY8dobGxMLy8vwe5Zo0aNWL16dUFkkeSaNWsokUgYFhYmiLyjR4/S2NiY3t7eBlk1fs+aNWsIgBMmTBBMZvHixenl5SWYvPHjxzNz5syCTUKU+70TJ04URJ4mpJlyIb/N4oW0e96/f58AuH//fgF6Ry5YsIAmJib8/PmzzrI+fPjAYsWKsUCBAgwNDRWgd8Jw5swZmpqasl27doLM4o8cOUIAvHXrlgC9IwcNGsRcuXIJ0renT58yR44crFixoqAmC13ZvHkzAXDEiBGCyFu2bBmlUik/fvwoiLyWLVvS1dVVEFnBwcG0srJikyZNmJiYKIhMIZg+fToBCOY0MmLECNrb2wtmbitXrhzbtWsniCzlfm+fPn3SVLmnqXIhhbV7KhQKFi5cmD179hSkb3Xq1GHdunV1lvP161dWrlyZ2bJlE9wWLgS7du2iRCKhr6+vzg9bbGwsraysOHXqVJ37JeR4hoWF0dHRkUWKFBF0n0ko5s2bRwD09/fXWdarV68IgJs3b9ZZlpDj+eDBA9rb29PNzU0w64JQKBQK+vn5USKRCGKpOH/+PAHwwoULOssScjyV+70eHh5pvt+b5sqF/J/ds3fv3jp/3AYPHizITPfTp080MTHhokWLdJKj9OG3srISzLSjD5YtW0YAnD59us6yPDw8BJnpKleiBw4c0EmO0oc/Z86cDAkJ0blf+mLEiBGCfUTKly8vyExXuRK9ffu2TnLevHnD/Pnz09nZmRERETr3Sx8IGQsmk8lob28vyJ6SUCtRQ+/3GkS5kP+ze+pqAzxz5gwB6OzqvH37dgLg8+fPUy1DoVDQy8srTX34dWHChAkEwDVr1ugkZ+3atYLY6GfOnEkLCwvGxMSkWkZ8fDzr1KnDTJky8caNGzr1R98kfV50jQWbMGGCIDb6vn37skCBAjpN+iIjI1m6dGm9xPYIjZDPi5eXF4sXL65znxo2bMgaNWroJEO5x23I/V6DKRfyf3ZPXbwXhPIu6tSpE0uVKqWTDOVMdMuWLTrJSSsUCgV79+5NqVSq02pBKO8iXb3/5HI527VrlyY+/EKRkJDAxo0b6xwLJoR3kRDef7GxsaxWrRqzZMnCu3fvplpOWvLlyxdWqFBB55Xurl27CECneDIhvP+U3rmG3u81qHJJavfctWtXquV06NBBp7iIxMRE2tnZccyYMamW4e/vb1Af/tQik8no4eFBCwsLnezF7u7uOsVFvH//nkZGRly5cmWqzlcoFPT19aVEIkkTH34hiY6Opqurq06xYELERSjjlk6cOJGq82UyGVu2bEkLCwtevHgx1f0wBELEgn358oWmpqY6fQN0jVv6+vUrXV1d08V+r0GVCymM3VPX/D5nz54lAAYFBaXq/PTiw59ahJhtTp8+nZaWlqm27a5fv54AUj3TEmIVbEiEmG327t2bhQoVSrVJa9KkScyUKVOqXLaT5mzTdc/MUChjwXTxLqxfvz5r1aqV6j7oktcw6So4Pez3Gly5kLrbPXXN7zN06FDmyJEjVU4ByriFrl27pgsf/tQSGRnJUqVKpdpOrsxFdejQoVS137p161TnitNH3IIhePnyJfPkycPSpUunyk6uzEWV2glCxYoVU50rTqj9O0Nz/fp1neKiFi9eTGNj41SNny654pT7d/rK5Zga0oVyIXW3e+qSRdfJyYndunXT+jx9RFwbEl08fHTJohsXF5fqLNdCeh6mB3Tx8NEli+6bN29SneV66dKlgnkepgd0yejw/PlzAuC2bdu0bleXLNdCeh4KRbpRLqRuds/U5vd5+PAhAXDv3r1an6fMFZXefPh1QXldqYlN8PPzY548ebT+yB87dowAtF61XrhwwWA+/PpEl9iE5s2b093dXes2ly9fTiMjI60Taypztvn5+WUI5a5El+sqU6YMO3TooHWbyryG2gabKvd7582bp3Wb+iRdKRcy9VHVqc3vM2fOHJqZmWmVTDDpDF/oLLfpAWVUtbYrspMnTxIAr169qlV7AwYMYN68ebV6iYXO9pDeSO2KbNWqVZRIJHz37p1W7TVp0oRVq1bV6hxltgdD52zTF8oVmbYrwbFjxzJLlixaK4nU5DVU7vcKle1BSNKdciFTb/d0dnZm165dtWqrevXqbNSokcbH/04+/LqgzAelzV5SfHw8M2XKpFXskkKhYP78+dmvXz+Nz9FnfY70xOrVq7WOBXv79q3W9Wqio6Npbm7OWbNmaXyOPvLUpUeU9X+02UsKDg4mAK3c4Z89e0YA3LFjh8bn6CNPnZCkS+VCps7uOWLECGbLlk1jU0JERASlUqnGVSGTelXpo7JgeiM1XnCenp6sUKGCxsffunWLAHj06FGNjk/qVaWPyoLpjdRksq1cuTJbtWql8fH79+8nAD548ECj458+fSp4hu30Smq84ORyOXPmzMkhQ4Zo3M7ChQu1ymv4O+z3plvlQmpfg0Pb/D7Kj+fr169/eaxQ8SC/G9rG72hzT0ny77//prW1NePi4n55rBDxIL8bqYnf0eaekmSPHj1YpEgRjY7VV22g9Exq4ne0uaekdnkNf5f93nStXMj/2T01qR6obX4fT09Pli9f/pfHJY1kFyoD8++ENtUDtV0NVq5cmR4eHr88TqhI9t8RbasH3rx5U+PVoHKWPXjw4F8em7SqaXrO2aYPtI0F27dvn8arwc+fP9PExIQLFy785bH6rGoqNOleuZD/s3uuXbv2l8d6eXmxRIkSvzwuPj6emTNn1siePXHixAzhw59atM2ZVr16dTZu3PiXx719+5YSieSX+wMKhYJdu3ZNVz78aU1cXJzGsWDKfaz+/fv/Uu6lS5c02h+Ij49n3bp1mSlTJl6/fl2brmcYtIkFU+5jzZ49+5dyd+zYQQB89uzZT4/79OnTb7Xf+1sol6R2z4MHD/70WE3z+2jq2SRk9uDfGWW2Z2tr619G/2rqgaepZ9PIkSPTnQ+/IdAmFkxTDzxNPJuEzB78u6P0FC1evPgvY8E09cDTJK9hbGwsq1ev/lvt9/4WyoXU3O6paX4fTWIylHVPMpoPf2rRNG+RprFDmsRkKOuepDcffkOh3PMoUqTIT5WyprFDv4rJECr/X0ZCuefh7u7+0z0PTWKHlHkNR48eneIxv+t+72+jXMhv2rtq1aq/tHvWr1+ftWvXTvHvmkSTC12xMaOgrLBZsGDBn+bAcnJyYvfu3VP8e0xMDC0tLX8aQ7BlyxYC4PDhw3Xqc0YjaSxYVFRUsscosx5MmTIlRTkvXrz4ZTT5jBkzBK3YmFEIDg6mpaXlTytsKrMebNy4MUU5//3330/zGv7O+72/lXIhNbN7/iq/z6/yYN24cUPlw6+px82fxIsXL5gnT56f1or4Vb62X+XBOnbsGE1MTNKtD7+huXbtGm1sbFivXr0U40x+la/tV++JMmfb+PHjBelzRuPIkSM0Njamt7d3is/or/K1/eo9Ue736lrOwhD8dsqF/LXd81f5fX6WwVeZGfVP8OHXhdu3b9PW1pY1atRI9j7+KtP0zzL4Kn34GzVqlG59+NMDp06doqmpKTt06JDsx+lXmaZ/lsH3wIEDlEql7NWrl6jcf8LGjRsJgKNGjUr275MmTaKNjU2KE4Cf5TVU7vdOmzZNsP6mJb+lciG/1efOmjVrinbP0qVLs2PHjsme6+7uzubNm//w+5/ow68L586do7m5OVu1avVD4GpiYiKzZMmSbI0cZe0RPz+/H/6W1Idfm5Q8fyo7duxIMRbsZzVylHuTye1lXbhwgRYWFmzZsmWGytmmL+bOnZtiLNi1a9dSrJGj3Jvcs2fPD39T7vf6+vr+tsr9t1Uu5M/tnil5waRUNVHpw58jRw6dKsn9aezbt49GRkbs06fPDy9BSl4wKVVNVPrwFytWLN378KcnlixZkmIsWErVPZVelU+ePFH7/e7duxk6Z5u+GDZsWLKxYAqFgg4ODslW90zJq1K53+vp6flb7/f+1sqFTNnumVJ+n+TqvSt9+G1sbP5YH35dWLVqFQFw0qRJar9v376dAPj8+XO135Or96704c+TJ0+qi779yYwbNy7ZWLCZM2fSwsKCMTExar8nV+9dmbOtVKlSGTpnmz6Qy+Xs0qVLsrFgffv2ZYECBX6YfCWX1zAj7ff+9sqFTN7umVJ+Hw8PD1auXFntOKUP/+nTp9OszxmNqVOnEoBaZP6nT59obGzMRYsWqR1bvnx5enp6qv6/0off1tb2t/HhT28oFAr27Nnzh1iwe/fuEYBaXixlJoukmXQjIiLo7OzM/Pnz/xE52/RBQkICGzZsSGtra165ckX1++HDhwmAt2/fVv328eNHSqVStZxxGW2/N0MoF/J/ds8FCxaofuvRoweLFi3K9+/f89mzZ3z16hWtrKw4depUkt9eyIEDB1IikXDnzp2G6nqGQKFQ0MfHh0ZGRvznn39Uv9epU4f16tVTjYEyNYkyIFImk7FVq1Y0Nzfn+fPnDdX9DEFiYiJbtGhBCwsLBgYGkvw2LoULF2bPnj1VY3Do0CG1HHzR0dF0d3f/o3K26YuvX7+ycuXKarFgsbGxqu+OcgwCAgIIgK9evSJJvnv3jkWKFMlQ+70ZRrmQ3+yeEomEW7duZWRkJHv06EEAP/wbPnw4IyMjOXPmTNGHX0Dkcjnbtm1LMzMznj17lpGRkWzZsmWyYzBt2jR+/PiRffr0+S19+NMrMTExrFq1Ku3s7Hjv3j1GRkayevXqlEqlavffyMiI/v7+fP/+PZs0aUIrKysGBwcbuvsZgqSxYG/fvlWV6TAzM1MbA2Ww96tXrzLkfm+GUi5Ku6exsTHNzc2T/aglHVjRh1944uLiWLt2bVpZWdHCwiLF+y+RSGhiYvLb+vCnZ5SxYNmyZfvpGACgsbExpVKpxiUPRDRDGQtWqFAhWlpa/nQMpFIpLS0tM9x+rxEyEEZGRmjbti1kMhni4uJ+emxCQgIkEgnc3NzSqHd/BmZmZujXrx+io6MRGxub4nEkkZiYCIlEgjx58qRhDzM+tra2GDlyJN6/f//TMQAAmUwGhUKRRj37c8iXLx/GjRuHkJAQxMTE/PRYuVyOuLg4hIeHp1Hv0gYJSRq6E0Lx6dMnODg4ICYmBppclkQigaWlJV6/fg1bW1v9d/APQBwDw6PtGBgZGcHCwkIcAwERxwDIUCuX9evXazyYwLfZc0xMDDZs2KDnnv05iGNgeLQdA4VCIY6BwIhjkIFWLiRRpEgRhISEaDygwLeZc6FChfD48WNIJBI99jDjI46B4RHHwPCIY/CNDKNcPnz4gGzZsul0ftasWQXs0Z+HOAaGRxwDwyOOwTcyjFns69evOp0fFRUlUE/+XMQxMDziGBgecQy+kWGUi7W1tU7n29jYCNSTPxdxDAyPOAaGRxyDb2QY5ZI1a1Y4OjpqbauUSCRwdHSEnZ2dnnr25yCOgeERx8DwiGPwjQyjXCQSCXx8fFJ1rq+vb4bYQDM04hgYHnEMDI84Bt/IMBv6wP98y2NjYzUKDMuIvuWGRhwDwyOOgeERxyADrVyAb5HJu3fvhkQigZHRzy/NyMgIEokE//zzT4YZzPSAOAaGRxwDwyOOAZChcospOXr0KK2srCiRSCiRSH7IaSWRSGhlZcVjx44ZuqsZFnEMDI84BobnTx6DDKlcyG/J+xYsWEBHR0e1AXV0dOSCBQv46dMnQ3cxwyOOgeERx8Dw/KljkKH2XJKDJD5+/IioqCjY2NjAzs4uw2yY/S6IY2B4xDEwPH/aGGR45SIiIiIikvZkqA19EREREZH0gahcREREREQER1QuIiIiIiKCIyoXERERERHBEZWLiIiIiIjgiMpFRERERERwROUiIiIiIiI4onIREREREREcUbmIiIiIiAiOqFxERERERARHVC4iIiIiIoIjKhcREREREcERlYuIiIiIiOD8HxIVd1Bz827IAAAAAElFTkSuQmCC\n", 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" ] @@ -66,9 +74,21 @@ "id": "f5aff4ae", "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "checkpoint directory created: ./model\n", + "saving model version 0.0\n", + "saving model version 0.1\n", + "saving model version 0.2\n", + "saving model version 0.3\n", + "saving model version 0.4\n" + ] + }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -99,9 +119,19 @@ "id": "4d5137cb", "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "checkpoint directory created: ./model\n", + "saving model version 0.0\n", + "saving model version 0.1\n", + "saving model version 0.2\n" + ] + }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -127,9 +157,19 @@ "id": "34a7bce5", "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "checkpoint directory created: ./model\n", + "saving model version 0.0\n", + "saving model version 0.1\n", + "saving model version 0.2\n" + ] + }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -155,9 +195,19 @@ "id": "816a4250", "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "checkpoint directory created: ./model\n", + "saving model version 0.0\n", + "saving model version 0.1\n", + "saving model version 0.2\n" + ] + }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -191,11 +241,19 @@ "id": "37e983f7", "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "checkpoint directory created: ./model\n", + "saving model version 0.0\n" + ] + }, { "data": { - "image/png": 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\n", 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\n", 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" + "
" ] }, "metadata": {}, @@ -204,7 +262,8 @@ ], "source": [ "# a tree case\n", - "model = KAN(width=[4,6,2,6,1], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", + "seed = 0\n", + "model = KAN(width=[4,4,2,3,1], grid=3, k=3, seed=seed)\n", "x = torch.rand(100,4)*2-1\n", "model(x)\n", "model.plot(beta=1000)" @@ -216,11 +275,21 @@ "id": "b6c70991", "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "checkpoint directory created: ./model\n", + "saving model version 0.0\n", + "saving model version 0.1\n", + "saving model version 0.2\n" + ] + }, { "data": { - "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, @@ -229,13 +298,14 @@ ], "source": [ "# a tree case\n", - "model = KAN(width=[4,6,2,6,1], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", + "seed = 0\n", + "model = KAN(width=[4,4,2,3,1], grid=3, k=3, seed=seed)\n", "x = torch.rand(100,4)*2-1\n", "\n", - "model.module(0,'[0,1]->[0,1,2]->[0,1,2]->[0]')\n", - "model.module(0,'[2,3]->[3,4,5]->[3,4,5]->[1]')\n", - "model.module(2,'[0]->[0,1,2]')\n", - "model.module(2,'[1]->[3,4,5]')\n", + "model.module(0,'[0,1]->[0,1]->[0,1]->[0]')\n", + "model.module(0,'[2,3]->[2,3]->[2,3]->[1]')\n", + "#model.module(2,'[0]->[0,1,2]')\n", + "#model.module(2,'[1]->[3,4,5]')\n", "\n", "model(x)\n", "model.plot(beta=1000)" @@ -243,9 +313,66 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "id": "05cf43c8", "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "| train_loss: 3.84e-02 | test_loss: 4.00e-02 | reg: 1.17e+01 | : 100%|█| 50/50 [00:24<00:00, 2.03it" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.3\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "# a formula with a two-level tree structure\n", + "f = lambda x: torch.sin(x[:,[0]]**2+x[:,[1]]**2)+torch.sin(x[:,[2]]**2+x[:,[3]]**2)\n", + "dataset = create_dataset(f, n_var=4)\n", + "\n", + "model.fit(dataset, steps=50, lamb=2e-3, reg_metric='edge_forward_n');" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "d77e8a79", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "090dde1c", + "metadata": {}, "outputs": [], "source": [] } diff --git a/tutorials/Interp_8_adding_auxillary_variables.ipynb b/tutorials/Interp_8_adding_auxillary_variables.ipynb new file mode 100644 index 00000000..00adff78 --- /dev/null +++ b/tutorials/Interp_8_adding_auxillary_variables.ipynb @@ -0,0 +1,297 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "f8ba3161", + "metadata": {}, + "source": [ + "# Interp 8: Adding auxillary variables" + ] + }, + { + "cell_type": "markdown", + "id": "6535c1f2", + "metadata": {}, + "source": [ + "When we do a regression task, it might be good to include auxillary input variables, even though they might be dependent on other variables. For example, to regress $m(m_0, v, c)=m_0/\\sqrt{1-(v/c)^2}$, it is desirable to include the dimensionaless varabile $\\beta = v/c$ as a separate input variable. If we also know this is a task in relativity, we may also include $\\gamma=1/\\sqrt{1-(v/c)^2}$ because $\\gamma$ appears frequently in relativity." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "3b818211", + "metadata": {}, + "outputs": [], + "source": [ + "from kan.MultKAN import MultKAN\n", + "from sympy import *\n", + "from kan.utils import create_dataset, augment_input\n", + "import torch\n", + "\n", + "seed = 1\n", + "torch.manual_seed(seed)\n", + "torch.set_default_dtype(torch.float64)\n", + "torch.use_deterministic_algorithms(True)\n", + "\n", + "input_variables = m0, v, c = symbols('m0 v c')\n", + "\n", + "# define auxillary variables\n", + "beta = v/c\n", + "gamma = 1/sqrt(1-beta**2)\n", + "\n", + "aux_vars = (beta, gamma)\n", + "\n", + "f = lambda x: x[:,[0]]/torch.sqrt(1-x[:,[1]]**2/x[:,[2]]**2)\n", + "dataset = create_dataset(f, n_var=3, ranges=[[0,1],[0,0.9],[1.1,2]])\n", + "\n", + "# add auxillary variables\n", + "dataset = augment_input(input_variables, aux_vars, dataset)\n", + "input_variables += aux_vars" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "2c93e210", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "checkpoint directory created: ./model\n", + "saving model version 0.0\n" + ] + } + ], + "source": [ + "model = MultKAN(width=[5,[0,1]], mult_arity=2, grid=3, k=3, sparse_init=True, seed=seed)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "6a1a56f0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model(dataset['train_input'])\n", + "model.plot(in_vars=input_variables, scale=1.0, varscale=0.7)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "f98f58a9", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "| train_loss: 3.90e-03 | test_loss: 3.77e-03 | reg: 3.51e+00 | : 100%|█| 200/200 [00:22<00:00, 8.89" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.1\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "model.fit(dataset, steps=200, lamb=1e-4);" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "90cde2b2", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "91af5af4", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.2\n" + ] + } + ], + "source": [ + "model = model.prune()" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "bd2a8b19", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "| train_loss: 1.72e-06 | test_loss: 9.17e-06 | reg: 3.40e+00 | : 100%|█| 100/100 [00:19<00:00, 5.10" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "saving model version 0.3\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "model.fit(dataset, steps=100);" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "0e00abaa", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "fixing (0,0,0) with x, r2=0.999999999868798, c=1\n", + "fixing (0,0,1) with 0\n", + "fixing (0,1,0) with 0\n", + "fixing (0,1,1) with 0\n", + "fixing (0,2,0) with 0\n", + "fixing (0,2,1) with 0\n", + "fixing (0,3,0) with 0\n", + "fixing (0,3,1) with 0\n", + "fixing (0,4,0) with 0\n", + "fixing (0,4,1) with x, r2=0.9999997733953018, c=1\n", + "saving model version 0.4\n" + ] + } + ], + "source": [ + "model.auto_symbolic()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "3aad4680", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle 1.0 \\cdot \\left(9.0376427738903 \\cdot 10^{-5} - \\frac{0.852508537795552}{\\sqrt{1 - \\frac{v^{2}}{c^{2}}}}\\right) \\left(- 1.17312547362696 m_{0} - 1.12252012796077 \\cdot 10^{-7}\\right)$" + ], + "text/plain": [ + "1.0*(9.0376427738903e-5 - 0.852508537795552/sqrt(1 - v**2/c**2))*(-1.17312547362696*m0 - 1.12252012796077e-7)" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sf = model.symbolic_formula(var=input_variables)[0][0]\n", + "sf" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "d651f8c5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle \\frac{m_{0}}{\\sqrt{1 - \\frac{v^{2}}{c^{2}}}}$" + ], + "text/plain": [ + "m0/sqrt(1 - v**2/c**2)" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from kan.utils import ex_round\n", + "\n", + "nsimplify(ex_round(ex_round(ex_round(sf,6),3),3))" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": 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