8channels.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "5f532b66",
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import xarray as xr\n",
    "import scipy as sp\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "sns.set()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d0078daf",
   "metadata": {},
   "outputs": [],
   "source": [
    "all_points = xr.load_dataarray(r'C:\\Users\\vovam\\Desktop\\rotations\\Leeat Keren\\data\\all_data.nc')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "204ec700",
   "metadata": {},
   "source": [
    "## First 7 -CD20; CD4; CD8; CD45; HLA Class II; dsDNA; panCK;\n",
    "\n",
    "There is no panCK in our dataset so I added panK and also added CD3 as it may be a useful marker (Idan's advice)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "fd4d9bc5",
   "metadata": {},
   "outputs": [],
   "source": [
    "src = r'Z:\\vovam\\Vova\\data\\matrices\\8_25'\n",
    "\n",
    "\n",
    "def load_data(src):\n",
    "    channels_src = 'channels.txt'\n",
    "    with open(os.path.join(src, channels_src)) as f:\n",
    "        channels = f.read().splitlines()\n",
    "\n",
    "    mat = np.loadtxt(os.path.join(src, 'mat.txt')).astype(np.float32)\n",
    "    mat = (mat / np.linalg.norm(mat, ord=1, axis=0))\n",
    "    return mat, channels\n",
    "\n",
    "\n",
    "needed_channels = load_data(src)[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "43f97ca2",
   "metadata": {},
   "outputs": [],
   "source": [
    "channels_data = all_points.sel(channels = needed_channels)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6488a041",
   "metadata": {},
   "source": [
    "## Turn tensor into matrix of needed shape, remove negatives, and binarise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "d9cbc16a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(7, 38, 2048, 2048)\n",
      "(7, 159383552)\n"
     ]
    }
   ],
   "source": [
    "channels_mat = np.transpose(channels_data.values, [1, 0, 2, 3])\n",
    "# channels_mat.shape == (7, 38, 2048, 2048)\n",
    "print(channels_mat.shape)\n",
    "channels_mat = channels_mat.reshape((7, -1))\n",
    "# channels_mat.shape == (7, 38*2048*2048)\n",
    "print(channels_mat.shape)\n",
    "channels_mat = channels_mat.clip(min = 0)\n",
    "channels_mat = 1 * (channels_mat > 0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a48e5992",
   "metadata": {},
   "source": [
    "## Sum over the columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "8de561c9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(159383552,)\n"
     ]
    }
   ],
   "source": [
    "counts_mat = channels_mat.sum(axis = 0)\n",
    "print(counts_mat.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "34f4a6eb",
   "metadata": {},
   "source": [
    "## Plot results of the counts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "a1a1e3d7",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Number of active channels on given pixel across all points')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "value, counts = np.unique(counts_mat, return_counts=True)\n",
    "dist = dict(zip(value, counts))\n",
    "plt.figure(figsize = (20,10))\n",
    "plt.bar(dist.keys(), dist.values())\n",
    "plt.ylabel('Counts of pixels')\n",
    "plt.xlabel('Number of active channels on given pixel across all points')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "891af495",
   "metadata": {},
   "source": [
    "## Covariance and Correlation matrices of given channels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "55419ed6",
   "metadata": {},
   "outputs": [],
   "source": [
    "cov_mat = np.load(r'Z:\\vovam\\scripts\\covP5.npy')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "feb3947a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams[\"axes.grid\"] = False\n",
    "f = plt.figure(figsize=(10, 8))\n",
    "sns.heatmap(cov_mat, \n",
    "            xticklabels=needed_channels,\n",
    "            yticklabels=needed_channels)\n",
    "plt.title('Covariance Matrix', fontsize=16);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "03518e37",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "corr_mat = np.load(r'Z:\\vovam\\scripts\\correlation_mat\\corr_all_trial.npy')\n",
    "plt.rcParams[\"axes.grid\"] = False\n",
    "f = plt.figure(figsize=(10, 10))\n",
    "sns.heatmap(corr_mat, \n",
    "            xticklabels=needed_channels,\n",
    "            yticklabels=needed_channels, annot = False)\n",
    "\n",
    "plt.title('Correlation Matrix', fontsize=16);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "030013dd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "corr_mat = np.load(r'Z:\\vovam\\scripts\\corrP5.npy')\n",
    "plt.rcParams[\"axes.grid\"] = False\n",
    "f = plt.figure(figsize=(10, 10))\n",
    "sns.heatmap(corr_mat, \n",
    "            xticklabels=needed_channels,\n",
    "            yticklabels=needed_channels, annot = False)\n",
    "\n",
    "plt.title('Correlation Matrix Across All Dataset', fontsize=16);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "79cf7664",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "corr_mat = np.load(r'Z:\\vovam\\scripts\\correlation_mat\\corr_all.npy')\n",
    "plt.rcParams[\"axes.grid\"] = False\n",
    "f = plt.figure(figsize=(10, 10))\n",
    "sns.heatmap(corr_mat, \n",
    "            xticklabels=needed_channels,\n",
    "            yticklabels=needed_channels, annot = False)\n",
    "\n",
    "plt.title('Correlation Matrix Across All Dataset', fontsize=16);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "12d07620",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[ 1.0000e+00, -5.1027e-02, -6.7453e-02, -2.3161e-02, -5.1552e-03,\n",
       "          4.0215e-02, -2.6305e-02,  7.5240e-04,  7.8120e-02, -2.8235e-02,\n",
       "         -6.3709e-02, -8.3624e-02,  2.0061e-02,  4.8055e-02,  1.6633e-03,\n",
       "          4.6956e-03, -1.2796e-01, -1.5580e-01, -9.4374e-02, -1.1227e-01,\n",
       "         -3.3535e-02, -3.8407e-02, -1.3285e-02,  1.6745e-02, -1.0211e-01],\n",
       "        [-5.1027e-02,  1.0000e+00,  2.2224e-01,  5.2069e-02,  8.4490e-04,\n",
       "         -1.4194e-03,  6.1976e-02,  1.7947e-02, -9.7152e-03,  1.0839e-02,\n",
       "          3.0416e-01,  1.4185e-01,  3.7706e-02,  5.6211e-02,  6.6818e-02,\n",
       "          4.6695e-03, -1.0721e-01,  1.2725e-01, -1.1488e-01,  2.2310e-01,\n",
       "          5.7250e-02,  1.5640e-01,  1.1442e-01,  4.1330e-02,  2.9710e-01],\n",
       "        [-6.7453e-02,  2.2224e-01,  1.0000e+00, -6.1246e-03,  5.2905e-03,\n",
       "         -4.1729e-03,  5.6873e-03,  1.8811e-03, -1.2025e-02, -3.4957e-04,\n",
       "         -2.0241e-02, -2.3850e-02, -3.3041e-03, -3.7076e-03,  4.3987e-02,\n",
       "         -3.3826e-03,  5.2788e-04,  4.5419e-03, -5.4124e-02, -1.4405e-02,\n",
       "         -1.0976e-02, -8.9543e-03, -3.5396e-03, -3.3657e-03,  1.5957e-01],\n",
       "        [-2.3161e-02,  5.2069e-02, -6.1246e-03,  1.0000e+00,  1.3288e-03,\n",
       "          1.7020e-02, -3.7640e-03,  1.2494e-01,  8.8540e-04,  6.0981e-02,\n",
       "          3.3832e-02,  1.1472e-01,  2.4494e-02,  1.6864e-01,  4.6107e-02,\n",
       "          1.0477e-02, -4.2710e-02,  1.3585e-01, -3.3381e-02,  2.0243e-01,\n",
       "          9.4147e-02,  2.3426e-01,  2.2607e-01, -4.4724e-03,  2.1164e-01],\n",
       "        [-5.1552e-03,  8.4490e-04,  5.2905e-03,  1.3288e-03,  1.0000e+00,\n",
       "         -2.2742e-04, -9.4414e-04, -5.4880e-04, -5.9911e-04,  5.5330e-03,\n",
       "         -1.0115e-03,  3.5081e-03,  2.2424e-03, -1.5218e-03,  1.2394e-03,\n",
       "         -2.5061e-04,  2.9497e-03,  5.3596e-03,  3.1655e-03,  7.7532e-04,\n",
       "          4.8594e-03,  4.2906e-03,  2.4669e-04, -4.5961e-04,  5.3068e-03],\n",
       "        [ 4.0215e-02, -1.4194e-03, -4.1729e-03,  1.7020e-02, -2.2742e-04,\n",
       "          1.0000e+00, -2.4876e-03, -1.6133e-03,  4.1117e-02, -1.4534e-03,\n",
       "         -3.6443e-03, -1.0418e-03, -7.6227e-04,  1.9926e-02, -1.7481e-03,\n",
       "          7.8171e-05, -1.0253e-02, -6.2515e-03, -6.8174e-03,  1.1241e-03,\n",
       "          1.8920e-03,  1.2482e-02,  2.4650e-02, -1.3511e-03,  7.9340e-03],\n",
       "        [-2.6305e-02,  6.1976e-02,  5.6873e-03, -3.7640e-03, -9.4414e-04,\n",
       "         -2.4876e-03,  1.0000e+00, -3.1294e-03, -5.3973e-03,  1.9176e-03,\n",
       "          4.8896e-03, -1.4481e-03, -3.2627e-03, -8.8456e-03, -1.1068e-02,\n",
       "         -1.2214e-03,  1.5793e-02, -5.3039e-04, -2.8238e-02,  2.5678e-05,\n",
       "          7.0338e-03,  2.1986e-02, -5.0139e-03,  2.4234e-02,  1.4344e-01],\n",
       "        [ 7.5240e-04,  1.7947e-02,  1.8811e-03,  1.2494e-01, -5.4880e-04,\n",
       "         -1.6133e-03, -3.1294e-03,  1.0000e+00, -1.0566e-03,  3.9381e-03,\n",
       "          4.6145e-03,  1.9627e-02,  4.7457e-02,  1.3703e-01,  5.7198e-03,\n",
       "          5.1045e-03, -1.9054e-02,  2.8883e-02, -1.4489e-02,  3.5600e-02,\n",
       "          5.5295e-03,  1.2430e-01,  1.2205e-01, -2.2543e-03,  8.2413e-02],\n",
       "        [ 7.8120e-02, -9.7152e-03, -1.2025e-02,  8.8540e-04, -5.9911e-04,\n",
       "          4.1117e-02, -5.3973e-03, -1.0566e-03,  1.0000e+00, -3.6298e-03,\n",
       "         -1.0447e-02, -9.3459e-03,  7.4590e-03,  1.2248e-02, -4.7945e-03,\n",
       "          2.3886e-03, -2.1247e-02, -1.6670e-02, -1.5529e-02, -1.0354e-02,\n",
       "         -4.3173e-03,  1.0808e-04,  3.1315e-03, -3.1251e-03, -9.7641e-03],\n",
       "        [-2.8235e-02,  1.0839e-02, -3.4957e-04,  6.0981e-02,  5.5330e-03,\n",
       "         -1.4534e-03,  1.9176e-03,  3.9381e-03, -3.6298e-03,  1.0000e+00,\n",
       "          6.9743e-02,  3.7569e-03,  4.6717e-04,  1.1129e-03, -2.6530e-03,\n",
       "         -1.4933e-03, -1.9252e-02,  1.6114e-01, -1.4711e-02,  1.0525e-01,\n",
       "          4.5116e-02,  4.2240e-02,  2.4655e-02, -2.7999e-03,  6.8042e-02],\n",
       "        [-6.3709e-02,  3.0416e-01, -2.0241e-02,  3.3832e-02, -1.0115e-03,\n",
       "         -3.6443e-03,  4.8896e-03,  4.6145e-03, -1.0447e-02,  6.9743e-02,\n",
       "          1.0000e+00,  8.2351e-02, -1.0402e-02, -6.2071e-03, -7.5882e-03,\n",
       "         -2.3186e-04, -8.0711e-02,  1.7732e-01, -5.2024e-02,  2.2877e-01,\n",
       "          7.0806e-02,  8.3859e-02,  7.0978e-02,  3.2653e-02,  1.1689e-01],\n",
       "        [-8.3624e-02,  1.4185e-01, -2.3850e-02,  1.1472e-01,  3.5081e-03,\n",
       "         -1.0418e-03, -1.4481e-03,  1.9627e-02, -9.3459e-03,  3.7569e-03,\n",
       "          8.2351e-02,  1.0000e+00,  2.5356e-02,  4.1147e-02,  5.7390e-02,\n",
       "          2.1497e-02, -6.5905e-02,  2.2887e-01, -5.1542e-02,  3.9470e-01,\n",
       "          1.8840e-01,  2.9085e-01,  1.9531e-01,  7.8332e-03,  2.4961e-01],\n",
       "        [ 2.0061e-02,  3.7706e-02, -3.3041e-03,  2.4494e-02,  2.2424e-03,\n",
       "         -7.6227e-04, -3.2627e-03,  4.7457e-02,  7.4590e-03,  4.6717e-04,\n",
       "         -1.0402e-02,  2.5356e-02,  1.0000e+00,  2.3518e-01,  1.2609e-02,\n",
       "          1.1475e-02, -2.5244e-02,  2.6675e-02, -2.6388e-02,  4.6960e-02,\n",
       "          1.0207e-02,  3.0090e-01,  1.6095e-01, -2.2197e-03,  1.4067e-01],\n",
       "        [ 4.8055e-02,  5.6211e-02, -3.7076e-03,  1.6864e-01, -1.5218e-03,\n",
       "          1.9926e-02, -8.8456e-03,  1.3703e-01,  1.2248e-02,  1.1129e-03,\n",
       "         -6.2071e-03,  4.1147e-02,  2.3518e-01,  1.0000e+00,  1.9893e-02,\n",
       "          1.1466e-02, -4.6687e-02,  3.4176e-02, -3.7838e-02,  7.2481e-02,\n",
       "          1.4134e-02,  3.0528e-01,  2.5183e-01, -2.3246e-03,  1.6862e-01],\n",
       "        [ 1.6633e-03,  6.6818e-02,  4.3987e-02,  4.6107e-02,  1.2394e-03,\n",
       "         -1.7481e-03, -1.1068e-02,  5.7198e-03, -4.7945e-03, -2.6530e-03,\n",
       "         -7.5882e-03,  5.7390e-02,  1.2609e-02,  1.9893e-02,  1.0000e+00,\n",
       "          3.8009e-03, -2.0393e-02,  3.8421e-02, -3.1989e-02,  1.3642e-01,\n",
       "          5.8150e-02,  6.8717e-02,  4.5829e-02, -1.8861e-03,  1.6318e-01],\n",
       "        [ 4.6956e-03,  4.6695e-03, -3.3826e-03,  1.0477e-02, -2.5061e-04,\n",
       "          7.8171e-05, -1.2214e-03,  5.1045e-03,  2.3886e-03, -1.4933e-03,\n",
       "         -2.3186e-04,  2.1497e-02,  1.1475e-02,  1.1466e-02,  3.8009e-03,\n",
       "          1.0000e+00, -1.0542e-02,  7.3454e-03, -7.2477e-03,  2.4526e-02,\n",
       "          4.2167e-03,  4.2954e-02,  2.0899e-02, -4.8240e-04,  5.1193e-02],\n",
       "        [-1.2796e-01, -1.0721e-01,  5.2788e-04, -4.2710e-02,  2.9497e-03,\n",
       "         -1.0253e-02,  1.5793e-02, -1.9054e-02, -2.1247e-02, -1.9252e-02,\n",
       "         -8.0711e-02, -6.5905e-02, -2.5244e-02, -4.6687e-02, -2.0393e-02,\n",
       "         -1.0542e-02,  1.0000e+00, -8.7270e-02,  2.5703e-01, -1.0405e-01,\n",
       "         -2.3054e-02, -1.1642e-01, -7.7024e-02, -1.0608e-02, -1.0880e-01],\n",
       "        [-1.5580e-01,  1.2725e-01,  4.5419e-03,  1.3585e-01,  5.3596e-03,\n",
       "         -6.2515e-03, -5.3039e-04,  2.8883e-02, -1.6670e-02,  1.6114e-01,\n",
       "          1.7732e-01,  2.2887e-01,  2.6675e-02,  3.4176e-02,  3.8421e-02,\n",
       "          7.3454e-03, -8.7270e-02,  1.0000e+00, -6.8152e-02,  3.7829e-01,\n",
       "          1.5794e-01,  2.9227e-01,  1.8629e-01, -2.9675e-03,  2.9246e-01],\n",
       "        [-9.4374e-02, -1.1488e-01, -5.4124e-02, -3.3381e-02,  3.1655e-03,\n",
       "         -6.8174e-03, -2.8238e-02, -1.4489e-02, -1.5529e-02, -1.4711e-02,\n",
       "         -5.2024e-02, -5.1542e-02, -2.6388e-02, -3.7838e-02, -3.1989e-02,\n",
       "         -7.2477e-03,  2.5703e-01, -6.8152e-02,  1.0000e+00, -8.8426e-02,\n",
       "         -2.1814e-02, -9.5238e-02, -6.0263e-02, -1.1764e-02, -1.2634e-01],\n",
       "        [-1.1227e-01,  2.2310e-01, -1.4405e-02,  2.0243e-01,  7.7532e-04,\n",
       "          1.1241e-03,  2.5678e-05,  3.5600e-02, -1.0354e-02,  1.0525e-01,\n",
       "          2.2877e-01,  3.9470e-01,  4.6960e-02,  7.2481e-02,  1.3642e-01,\n",
       "          2.4526e-02, -1.0405e-01,  3.7829e-01, -8.8426e-02,  1.0000e+00,\n",
       "          3.3968e-01,  3.4436e-01,  2.2352e-01, -1.3411e-03,  4.1226e-01],\n",
       "        [-3.3535e-02,  5.7250e-02, -1.0976e-02,  9.4147e-02,  4.8594e-03,\n",
       "          1.8920e-03,  7.0338e-03,  5.5295e-03, -4.3173e-03,  4.5116e-02,\n",
       "          7.0806e-02,  1.8840e-01,  1.0207e-02,  1.4134e-02,  5.8150e-02,\n",
       "          4.2167e-03, -2.3054e-02,  1.5794e-01, -2.1814e-02,  3.3968e-01,\n",
       "          1.0000e+00,  1.4232e-01,  9.4993e-02,  1.0635e-01,  1.5634e-01],\n",
       "        [-3.8407e-02,  1.5640e-01, -8.9543e-03,  2.3426e-01,  4.2906e-03,\n",
       "          1.2482e-02,  2.1986e-02,  1.2430e-01,  1.0808e-04,  4.2240e-02,\n",
       "          8.3859e-02,  2.9085e-01,  3.0090e-01,  3.0528e-01,  6.8717e-02,\n",
       "          4.2954e-02, -1.1642e-01,  2.9227e-01, -9.5238e-02,  3.4436e-01,\n",
       "          1.4232e-01,  1.0000e+00,  4.3128e-01,  5.2106e-02,  4.2768e-01],\n",
       "        [-1.3285e-02,  1.1442e-01, -3.5396e-03,  2.2607e-01,  2.4669e-04,\n",
       "          2.4650e-02, -5.0139e-03,  1.2205e-01,  3.1315e-03,  2.4655e-02,\n",
       "          7.0978e-02,  1.9531e-01,  1.6095e-01,  2.5183e-01,  4.5829e-02,\n",
       "          2.0899e-02, -7.7024e-02,  1.8629e-01, -6.0263e-02,  2.2352e-01,\n",
       "          9.4993e-02,  4.3128e-01,  1.0000e+00,  3.7091e-02,  2.8183e-01],\n",
       "        [ 1.6745e-02,  4.1330e-02, -3.3657e-03, -4.4724e-03, -4.5961e-04,\n",
       "         -1.3511e-03,  2.4234e-02, -2.2543e-03, -3.1251e-03, -2.7999e-03,\n",
       "          3.2653e-02,  7.8332e-03, -2.2197e-03, -2.3246e-03, -1.8861e-03,\n",
       "         -4.8240e-04, -1.0608e-02, -2.9675e-03, -1.1764e-02, -1.3411e-03,\n",
       "          1.0635e-01,  5.2106e-02,  3.7091e-02,  1.0000e+00,  1.9480e-02],\n",
       "        [-1.0211e-01,  2.9710e-01,  1.5957e-01,  2.1164e-01,  5.3068e-03,\n",
       "          7.9340e-03,  1.4344e-01,  8.2413e-02, -9.7641e-03,  6.8042e-02,\n",
       "          1.1689e-01,  2.4961e-01,  1.4067e-01,  1.6862e-01,  1.6318e-01,\n",
       "          5.1193e-02, -1.0880e-01,  2.9246e-01, -1.2634e-01,  4.1226e-01,\n",
       "          1.5634e-01,  4.2768e-01,  2.8183e-01,  1.9480e-02,  1.0000e+00]],\n",
       "       dtype=torch.float64)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "torch.tensor(np.load(r'Z:\\vovam\\scripts\\corrP5.npy'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "24634b6d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "c9b9ef65",
   "metadata": {},
   "outputs": [],
   "source": [
    "def corr(x):\n",
    "        \"\"\"\n",
    "        x: [B, C, H, W]\n",
    "        res: [ C, C]\n",
    "        \"\"\"\n",
    "\n",
    "        # [B, C, H, W] -> [B, C * H * W]\n",
    "        x = x.view((x.size(1), -1))\n",
    "        \n",
    "        # estimated covariance\n",
    "        x = x - x.mean(dim=-1, keepdim=True)\n",
    "        \n",
    "        factor = 1 / (x.shape[-1] - 1)\n",
    "        \n",
    "        corr = factor * (x @ x.transpose(-1, -2))\n",
    "        diagonal = torch.diagonal(corr) #, dim1=-2, dim2=-1)\n",
    "        stddev = torch.sqrt(diagonal)\n",
    "        \n",
    "        corr /= stddev[:, None]\n",
    "        corr /= stddev[None, :]\n",
    "        corr = troch.clip(corr, -1, 1)\n",
    "        \n",
    "        return corr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "1918ecda",
   "metadata": {},
   "outputs": [],
   "source": [
    "all_points = xr.load_dataarray(r'C:\\Users\\leeatgen.WISMAIN\\Desktop\\Vova\\all_data.nc').sel(fovs=['Point5'], channels=needed_channels).values.astype(np.float16)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "112e648c",
   "metadata": {},
   "outputs": [],
   "source": [
    "channels_mat = torch.tensor(all_points).float()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "668e0143",
   "metadata": {},
   "outputs": [],
   "source": [
    "test = torch.randint(low=0, high=200, size=(10,25,2048,2048)).float()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "5b0b378a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "torch.Size([25, 41943040])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test.view(test.size(1), -1).shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "89e8009e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "159383552"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "38*2048*2048"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 169,
   "id": "219a8fb7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 169,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.heatmap(corr(test))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 208,
   "id": "128e9e66",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 208,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.heatmap(corr(channels_mat))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 209,
   "id": "5547438b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 209,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.heatmap(corr_mat)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 161,
   "id": "6f055c28",
   "metadata": {},
   "outputs": [],
   "source": [
    "corr_mat = np.clip(corr_mat, -1, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 178,
   "id": "11f18097",
   "metadata": {},
   "outputs": [],
   "source": [
    "def corr2(x):\n",
    "        \"\"\"\n",
    "        x: [B, C, H, W]\n",
    "        res: [B, C, C]\n",
    "        \"\"\"\n",
    "\n",
    "        # [B, C, H, W] -> [B, C, H * W]\n",
    "        x = x.view((x.size(0), x.size(1), -1))\n",
    "        #x = x.view((x.size(0), -1))\n",
    "        # estimated covariance\n",
    "        x = x - x.mean(dim=-1, keepdim=True)\n",
    "        \n",
    "        factor = 1 / (x.shape[-1] - 1)\n",
    "        \n",
    "        corr = factor * (x @ x.transpose(-1, -2))\n",
    "        diagonal = torch.diagonal(corr) #, dim1=-2, dim2=-1)\n",
    "        stddev = np.sqrt(diagonal)\n",
    "        \n",
    "        corr = torch.div(corr, stddev[:, None])\n",
    "        corr = torch.div(corr, stddev[None, :])\n",
    "        corr = np.clip(corr, -1, 1)\n",
    "        \n",
    "        return corr"
   ]
  }
 ],
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