{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "cce449a6",
   "metadata": {},
   "source": [
    "# Optimal Transport in linear Independent Component Analysis\n",
    "### Simulated Experiment: Double IC extraction with squared Wasserstein Distance - Continous - Laplace and Student-t"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "9cbbe077",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import torch\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.stats\n",
    "\n",
    "from wasserstein_ica import WassersteinICA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2e941443",
   "metadata": {},
   "outputs": [],
   "source": [
    "# --- 1. Simulation Setup ---\n",
    "n_samples = 5000\n",
    "np.random.seed(42)\n",
    "\n",
    "# Source 1: Student-t distribution with df=2 (Infinite Variance)\n",
    "# Note: df=2 implies infinite variance, which challenges standard whitening.\n",
    "#s1 = np.random.standard_t(df=3, size=n_samples)\n",
    "\n",
    "# Source 1: Uniform Distribution (Sub-Gaussian)\n",
    "# Range [-sqrt(3), sqrt(3)] ensures unit variance\n",
    "s1 = np.random.uniform(-np.sqrt(3), np.sqrt(3), size=n_samples)\n",
    "\n",
    "# Source 2: Laplace distribution\n",
    "s2 = np.random.laplace(loc=0.0, scale=1.0/np.sqrt(2), size=n_samples)\n",
    "\n",
    "# Stack and Mix\n",
    "S_true = np.stack([s1, s2])\n",
    "A_true = np.array([[1.0, 0.5], \n",
    "                   [0.5, 1.0]])  # Mixing matrix\n",
    "X_mixed = A_true @ S_true\n",
    "\n",
    "# Convert to Torch for WassersteinICA\n",
    "X_torch = torch.tensor(X_mixed, dtype=torch.float32)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "77ad8204",
   "metadata": {},
   "outputs": [],
   "source": [
    "# --- 2. Initialization & Whitening ---\n",
    "ica = WassersteinICA(X_torch)\n",
    "ica.whiten()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "83b10ec6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# --- 3. Landscape Visualization (Plotting best candidates) ---\n",
    "# We manually scan angles to plot the W2^2 metric landscape before extraction\n",
    "angles = torch.linspace(0, np.pi, steps=200)\n",
    "candidates = torch.stack([torch.cos(angles), torch.sin(angles)], dim=1).to(X_torch.device)\n",
    "distances = []\n",
    "\n",
    "for w in candidates:\n",
    "    # Compute score for each angle\n",
    "    dist = ica.wasserstein2_distance(w)\n",
    "    distances.append(dist.item())\n",
    "\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(np.degrees(angles.numpy()), distances, label=r'$W_2^2$ Distance')\n",
    "plt.title(\"Optimization Landscape: Wasserstein-2 Distance vs Angle\")\n",
    "plt.xlabel(\"Angle (Degrees)\")\n",
    "plt.ylabel(\"Non-Gaussianity Metric\")\n",
    "plt.grid(True, alpha=0.3)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "d9a3dc4d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "--- Extracting Components ---\n",
      "1st Component found. Score: 0.0444\n",
      "2nd Component found. Score: 0.0383\n"
     ]
    }
   ],
   "source": [
    "# --- 4. Sequential Extraction ---\n",
    "print(\"\\n--- Extracting Components ---\")\n",
    "\n",
    "# Extract 1st Component\n",
    "# We use continuous optimization for precision\n",
    "w1, dist1 = ica.optimize_wasserstein2(continuous=True, grid_points=100)\n",
    "print(f\"1st Component found. Score: {dist1:.4f}\")\n",
    "\n",
    "# Extract 2nd Component (Orthogonal to 1st)\n",
    "# We pass w1 to 'prev_components' to force orthogonality\n",
    "w2, dist2 = ica.optimize_wasserstein2(prev_components=w1.unsqueeze(0), continuous=True)\n",
    "print(f\"2nd Component found. Score: {dist2:.4f}\")\n",
    "\n",
    "# Project whitened data onto weights to get estimates\n",
    "# Shape: (2, n_samples)\n",
    "Y_est = torch.stack([\n",
    "    torch.mv(ica.X_white.t(), w1),\n",
    "    torch.mv(ica.X_white.t(), w2)\n",
    "]).numpy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "45613897",
   "metadata": {},
   "outputs": [],
   "source": [
    "# --- 5. KL Divergence Evaluation ---\n",
    "\n",
    "def compute_kl_divergence(p_samples, q_samples, bins=100):\n",
    "    \"\"\"\n",
    "    Computes KL(P || Q) using histograms. \n",
    "    P: True Source, Q: Extracted Component\n",
    "    \"\"\"\n",
    "    # Normalize samples to roughly same scale (Z-score) to handle scaling ambiguity\n",
    "    # KL is sensitive to support mismatch, so we look at shape only.\n",
    "    p_norm = (p_samples - np.mean(p_samples)) / np.std(p_samples)\n",
    "    q_norm = (q_samples - np.mean(q_samples)) / np.std(q_samples)\n",
    "    \n",
    "    # Define common range\n",
    "    min_val = min(p_norm.min(), q_norm.min())\n",
    "    max_val = max(p_norm.max(), q_norm.max())\n",
    "    \n",
    "    # Compute histograms\n",
    "    p_hist, edges = np.histogram(p_norm, bins=bins, range=(min_val, max_val), density=True)\n",
    "    q_hist, _ = np.histogram(q_norm, bins=bins, range=(min_val, max_val), density=True)\n",
    "    \n",
    "    # Add epsilon to avoid log(0) or div by 0\n",
    "    epsilon = 1e-10\n",
    "    p_hist = p_hist + epsilon\n",
    "    q_hist = q_hist + epsilon\n",
    "    \n",
    "    # Normalize again to ensure sum=1\n",
    "    p_hist /= p_hist.sum()\n",
    "    q_hist /= q_hist.sum()\n",
    "    \n",
    "    return scipy.stats.entropy(p_hist, q_hist)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "52fb90d5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "--- KL Divergences (Original vs Extracted) ---\n",
      "KL(Student-t (df=2) || Extracted IC 1) = 0.0203\n",
      "KL(Student-t (df=2) || Extracted IC 2) = 0.3089\n",
      "KL(Laplace || Extracted IC 1) = 1.2697\n",
      "KL(Laplace || Extracted IC 2) = 0.0429\n",
      "\n",
      "Likely alignment: S1 -> E1, S2 -> E2\n"
     ]
    }
   ],
   "source": [
    "print(\"\\n--- KL Divergences (Original vs Extracted) ---\")\n",
    "sources_names = [\"Student-t (df=2)\", \"Laplace\"]\n",
    "extracted_names = [\"Extracted IC 1\", \"Extracted IC 2\"]\n",
    "\n",
    "# Calculate all 4 pairs\n",
    "kl_matrix = np.zeros((2, 2))\n",
    "for i in range(2):\n",
    "    for j in range(2):\n",
    "        kl = compute_kl_divergence(S_true[i], Y_est[j])\n",
    "        kl_matrix[i, j] = kl\n",
    "        print(f\"KL({sources_names[i]} || {extracted_names[j]}) = {kl:.4f}\")\n",
    "\n",
    "# Identify best match permutation based on lowest KL sum\n",
    "if kl_matrix[0,0] + kl_matrix[1,1] < kl_matrix[0,1] + kl_matrix[1,0]:\n",
    "    print(\"\\nLikely alignment: S1 -> E1, S2 -> E2\")\n",
    "else:\n",
    "    print(\"\\nLikely alignment: S1 -> E2, S2 -> E1\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "14a25b9e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Matched: S1 -> Y1, S2 -> Y2\n"
     ]
    }
   ],
   "source": [
    "# Since ICA output order is arbitrary, we match Y to S using correlation\n",
    "corr_matrix = np.abs(np.corrcoef(np.vstack([S_true, Y_est])))\n",
    "cross_corr = corr_matrix[0:2, 2:4] # Top-right block: Rows S1,S2 vs Cols Y1,Y2\n",
    "\n",
    "# Determine permutation\n",
    "if cross_corr[0,0] + cross_corr[1,1] > cross_corr[0,1] + cross_corr[1,0]:\n",
    "    perm = [0, 1] # S1->Y1, S2->Y2\n",
    "    print(\"Matched: S1 -> Y1, S2 -> Y2\")\n",
    "else:\n",
    "    perm = [1, 0] # S1->Y2, S2->Y1\n",
    "    print(\"Matched: S1 -> Y2, S2 -> Y1\")\n",
    "\n",
    "Y_aligned = Y_est[perm, :]\n",
    "\n",
    "# Fix Sign Ambiguity\n",
    "# If correlation is negative, flip the extracted signal\n",
    "if np.corrcoef(s1, Y_aligned[0])[0,1] < 0:\n",
    "    Y_aligned[0] *= -1\n",
    "if np.corrcoef(s2, Y_aligned[1])[0,1] < 0:\n",
    "    Y_aligned[1] *= -1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "07d338e9",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1400x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# --- 4. Visualization ---\n",
    "fig, axes = plt.subplots(1, 2, figsize=(14, 6))\n",
    "\n",
    "# Define plotting parameters\n",
    "bins = 60\n",
    "range_lim = (-4, 4)\n",
    "x_grid = np.linspace(range_lim[0], range_lim[1], 200)\n",
    "\n",
    "# Plot 1: Student-t Comparison\n",
    "axes[0].hist(s1, bins=bins, range=range_lim, density=True, alpha=0.4, label='Original (Student-t)', color='blue')\n",
    "axes[0].hist(Y_aligned[0], bins=bins, range=range_lim, density=True, alpha=0.4, label='Extracted', color='orange')\n",
    "# KDE Overlays\n",
    "kde_s1 = scipy.stats.gaussian_kde(s1)\n",
    "kde_y1 = scipy.stats.gaussian_kde(Y_aligned[0])\n",
    "axes[0].plot(x_grid, kde_s1(x_grid), 'b-', lw=2, label='Original PDF')\n",
    "axes[0].plot(x_grid, kde_y1(x_grid), 'r--', lw=2, label='Extracted PDF')\n",
    "axes[0].set_title(f'Source 1: Student-t (df=3)\\nKL Divergence: {scipy.stats.entropy(kde_s1(x_grid), kde_y1(x_grid)):.4f}')\n",
    "axes[0].legend()\n",
    "axes[0].grid(True, alpha=0.3)\n",
    "\n",
    "# Plot 2: Laplace Comparison\n",
    "axes[1].hist(s2, bins=bins, range=range_lim, density=True, alpha=0.4, label='Original (Laplace)', color='green')\n",
    "axes[1].hist(Y_aligned[1], bins=bins, range=range_lim, density=True, alpha=0.4, label='Extracted', color='purple')\n",
    "# KDE Overlays\n",
    "kde_s2 = scipy.stats.gaussian_kde(s2)\n",
    "kde_y2 = scipy.stats.gaussian_kde(Y_aligned[1])\n",
    "axes[1].plot(x_grid, kde_s2(x_grid), 'g-', lw=2, label='Original PDF')\n",
    "axes[1].plot(x_grid, kde_y2(x_grid), 'm--', lw=2, label='Extracted PDF')\n",
    "axes[1].set_title(f'Source 2: Laplace\\nKL Divergence: {scipy.stats.entropy(kde_s2(x_grid), kde_y2(x_grid)):.4f}')\n",
    "axes[1].legend()\n",
    "axes[1].grid(True, alpha=0.3)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0b6e7ac1",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "ot_ica",
   "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": "3.12.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
