daubechies_2004.ipynb

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   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "# %% IMPORT LIBRARIES\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "from tqdm import tqdm\n",
    "from matplotlib import pyplot as plt\n",
    "from scipy import sparse as spr\n",
    "\n",
    "import cs_algos\n",
    "import cs_operators\n",
    "import cs_utils"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.style.use(['science','ieee'])\n",
    "\n",
    "plt.rcParams.update({\n",
    "    \"font.family\": \"serif\",\n",
    "    \"font.serif\": [\"cm\"],\n",
    "    \"mathtext.fontset\": \"cm\",\n",
    "    \"font.size\": 24})\n",
    "\n",
    "os.makedirs('./figures/daubechies_2004/', exist_ok=True)\n",
    "path = './figures/daubechies_2004/'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# %% DEFINE SPARSE VECTOR\n",
    "\n",
    "m = 40\n",
    "N = 100\n",
    "sparse_vec = spr.random(N, 1, density=0.05, random_state=10).todense()\n",
    "\n",
    "sampling_mtx = cs_operators.random_sampling(m, N)\n",
    "samples = (sampling_mtx @ sparse_vec)[:None]\n",
    "noisy_samples = cs_utils.add_noise(samples, snr=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "# %% SPARSE RECOVERY\n",
    "\n",
    "rec_vec, errors = cs_algos.l1_ista(noisy_samples, sampling_mtx, lambd=.01, max_iter=1000, tol=1e-32)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "Reconstruction SNR: 1.08e+01\n"
     ]
    }
   ],
   "source": [
    "# %% ERROR METRICS\n",
    "\n",
    "rsnr = cs_utils.rec_snr(sparse_vec, rec_vec)\n",
    "print(r'Reconstruction SNR: {0:.2e}'.format(rsnr))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "# %% RECONSTRUCTION PLOTS\n",
    "\n",
    "plt.figure(figsize=(12,6))\n",
    "ax = plt.gca()\n",
    "\n",
    "cs_utils.plot_sparsevec(sparse_vec, ax=ax, marker_style='o', legend_label=r'ORIGINAL')\n",
    "cs_utils.plot_sparsevec(rec_vec, ax=ax, plot_colour='red', line_style='--',\n",
    "    legend_label=r'ISTA', xaxis_label=r'SPARSE COEFFICIENT INDEX', yaxis_label=r'AMPLITUDE',\n",
    "    save=path+'ista_reconstruction')"
   ]
  },
  {
   "source": [
    "# %% LOSS\n",
    "\n",
    "plt.figure(figsize=(12,6))\n",
    "ax = plt.gca()\n",
    "\n",
    "cs_utils.plot_signal(np.arange(len(errors)), errors, ax=ax, ylimits=[0,0.5],\n",
    "    xaxis_label=r'ITERATION', yaxis_label=r'LOSS', xlimits=[0,30],\n",
    "    save=path+'ista_loss')"
   ],
   "cell_type": "code",
   "metadata": {},
   "execution_count": 24,
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 7200x3600 with 1 Axes>",
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": [
      "4it [33:25, 501.27s/it]\n"
     ]
    }
   ],
   "source": [
    "# %% MONTE-CARLO ANALYSIS\n",
    "\n",
    "densities = np.arange(0.05, 0.2, 0.05)\n",
    "snrs = np.arange(10, 31, 5)\n",
    "num_iter = 500\n",
    "\n",
    "rsnr = np.zeros((len(snrs), len(densities), num_iter))\n",
    "\n",
    "for den_itr, density in tqdm(enumerate(densities)):\n",
    "    for snr_itr, snr in enumerate(snrs):\n",
    "        for itr in range(num_iter):\n",
    "            noisy_samples = cs_utils.add_noise(samples, snr=snr)\n",
    "            rec_vec, _ = cs_algos.l1_ista(noisy_samples, sampling_mtx, lambd=.01, max_iter=1000)\n",
    "\n",
    "            rsnr[snr_itr, den_itr, itr] = cs_utils.rec_snr(sparse_vec, rec_vec)"
   ]
  }
 ]
}