demos/adc.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Inverse Engineering 2: ADC Quantization Step Retrieval"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Import libraries, set random seed for reproducibility, and define device and parameters\n",
    "import os\n",
    "import torch\n",
    "import torch.nn as nn\n",
    "import torch.optim as optim\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "# include parent dir\n",
    "import sys\n",
    "sys.path.append('..')\n",
    "from camflow import OpticalFilter, ADC, Demosaic\n",
    "SEED = 42\n",
    "torch.manual_seed(SEED)\n",
    "np.random.seed(SEED)\n",
    "device = torch.device(\"cpu\")\n",
    "# Parameters\n",
    "H, W = 800, 800"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(1) Init + Training"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 50, Loss: 0.686273, Step size: 0.1163\n",
      "Iteration 100, Loss: 0.016295, Step size: 0.1006\n",
      "Iteration 150, Loss: 0.001097, Step size: 0.1000\n",
      "Iteration 200, Loss: 0.000320, Step size: 0.1000\n"
     ]
    }
   ],
   "source": [
    "# Ground-truth step size = 0.1, input = random image in [0,1]\n",
    "gt_step_size = 0.1\n",
    "adc_input = torch.rand(1, H, W)\n",
    "quantized = torch.floor(adc_input / gt_step_size) \n",
    "num_iters = 200\n",
    "adc_model = ADC(init_step=0.5).to(device)\n",
    "opt = optim.Adam(adc_model.parameters(), lr=0.01)\n",
    "scheduler = optim.lr_scheduler.CosineAnnealingLR(opt, T_max=num_iters)\n",
    "\n",
    "# print(f\"Ground-truth step size: {gt_step_size}\")\n",
    "# print(f\"Input: {adc_input.squeeze().detach().numpy()}\")\n",
    "# print(f\"Quantized: {quantized.squeeze().detach().numpy()}\")\n",
    "\n",
    "losses_adc = []\n",
    "for i in range(num_iters):\n",
    "    opt.zero_grad()\n",
    "    pred = adc_model(adc_input)\n",
    "    loss = ((pred - quantized)**2).mean()\n",
    "    loss.backward()\n",
    "    opt.step()\n",
    "    scheduler.step()\n",
    "    losses_adc.append(loss.item())\n",
    "\n",
    "    # # print pred\n",
    "    # if (i+1) % 200 == 0:\n",
    "    #     print(f\"pred = {pred.squeeze().detach().numpy()}\")\n",
    "\n",
    "    # # print gradient of step size\n",
    "    # if (i+1) % 200 == 0:\n",
    "    #     print(f\"grad step size: {adc_model.step_size._grad.item()}\")\n",
    "    if (i+1) % 50 == 0:\n",
    "        print(f\"Iteration {i+1}, Loss: {loss.item():.6f}, Step size: {adc_model.step_size.item():.4f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(2) Plot & Save output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 1500x500 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import os\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Create a directory called 'result' if it doesn't exist\n",
    "if not os.path.exists('results'):\n",
    "    os.makedirs('results')\n",
    "\n",
    "# Plot results for ADC Retrieval\n",
    "# Loss Curve\n",
    "plt.figure(figsize=(10, 4))\n",
    "plt.rcParams.update({'font.size': 20})\n",
    "# set large label size to 14\n",
    "plt.rcParams.update({'axes.labelsize': 16})\n",
    "plt.subplot(1, 1, 1)\n",
    "plt.plot(losses_adc, label=\"Loss Curve\", color=\"blue\")\n",
    "plt.title(\"ADC Step Retrieval - Loss Curve\")\n",
    "plt.xlabel(\"Iteration\")\n",
    "plt.ylabel(\"MSE Loss\")\n",
    "plt.legend()\n",
    "\n",
    "# Save loss curve\n",
    "plt.savefig('results/adc_loss_curve.png')\n",
    "plt.show()\n",
    "# Clear plot\n",
    "plt.clf()\n",
    "\n",
    "# ADC Step Size Recovery Plot\n",
    "plt.figure(figsize=(15, 5))\n",
    "\n",
    "# Combined ADC Step Size Bar Plot\n",
    "plt.figure(figsize=(10, 6))\n",
    "\n",
    "# Data for the bars\n",
    "labels = ['Ground Truth', 'Initial', 'Recovered']\n",
    "values = [gt_step_size, 0.5, adc_model.step_size.item()]\n",
    "colors = ['blue', 'red', 'green']\n",
    "\n",
    "# Create the bar plot\n",
    "plt.bar(labels, values, color=colors)\n",
    "\n",
    "# Add title and labels\n",
    "rel_error = (gt_step_size - adc_model.step_size.item()) / gt_step_size * 100\n",
    "formatted_error = f\"{rel_error:.1e}\"  # Use scientific notation\n",
    "plt.title(f\"ADC Step Size Comparison (Relative Error: {formatted_error} %)\")\n",
    "plt.ylabel(\"Step Size\")\n",
    "plt.xlabel(\"Step Size Type\")\n",
    "\n",
    "# Save the plot\n",
    "plt.tight_layout()\n",
    "plt.savefig('results/adc_step_size_opt.png')\n",
    "plt.show()\n",
    "# Clear plot\n",
    "plt.clf()\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}