From bddfa86b2ef1a329fe214ef7aeeb06801449fb9e Mon Sep 17 00:00:00 2001 From: ennucore Date: Wed, 20 Jul 2022 13:23:33 +0300 Subject: [PATCH] Separability; Distributions for neuron parameters --- AnalyzeExp.ipynb => ExpMoving.ipynb | 0 PopulationSampling.ipynb | 221 ++++++++++---------- Separability.ipynb | 311 ++++++++++++++++++++++++++++ SimpleCell.ipynb | 4 +- model/sym_model.py | 61 ++++-- 5 files changed, 467 insertions(+), 130 deletions(-) rename AnalyzeExp.ipynb => ExpMoving.ipynb (100%) create mode 100644 Separability.ipynb diff --git a/AnalyzeExp.ipynb b/ExpMoving.ipynb similarity index 100% rename from AnalyzeExp.ipynb rename to ExpMoving.ipynb diff --git a/PopulationSampling.ipynb b/PopulationSampling.ipynb index c23f1dd..5dd2c45 100644 --- a/PopulationSampling.ipynb +++ b/PopulationSampling.ipynb @@ -28,7 +28,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 10, "metadata": { "collapsed": false, "pycharm": { @@ -38,7 +38,6 @@ "outputs": [], "source": [ "%matplotlib inline\n", - "from sym_model import Population, sigmoid\n", "\n", "import sys\n", "import seaborn as sns\n", @@ -47,7 +46,9 @@ "import pandas as pd\n", "from matplotlib import pyplot as plt\n", "sys.path.insert(0, './model')\n", + "sys.path.insert(0, './numerical')\n", "\n", + "from sym_model import Population, sigmoid\n", "from model import decoding\n", "from model import persistence\n", "from utils import get_orientation_phase_grid" @@ -69,7 +70,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 11, "metadata": { "collapsed": false, "pycharm": { @@ -88,7 +89,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 12, "metadata": { "collapsed": false, "pycharm": { @@ -112,7 +113,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ @@ -121,7 +122,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ @@ -130,7 +131,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 15, "metadata": { "collapsed": false, "pycharm": { @@ -145,7 +146,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 16, "metadata": {}, "outputs": [], "source": [ @@ -154,7 +155,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 17, "metadata": { "collapsed": false, "pycharm": { @@ -169,7 +170,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 18, "metadata": { "collapsed": false, "pycharm": { @@ -187,7 +188,7 @@ "(2592, 40)" ] }, - "execution_count": 9, + "execution_count": 18, "metadata": {}, "output_type": "execute_result" } @@ -198,7 +199,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 19, "metadata": { "collapsed": false, "pycharm": { @@ -212,7 +213,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 20, "metadata": {}, "outputs": [ { @@ -229,13 +230,13 @@ "" ] }, - "execution_count": 11, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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3sy1m1mFmHV1dXUHa2Ns9QFtL/bzGwOed09rI7q7jZDIeYWUiIuGUPODdfau7t7t7e2tra5A29nUPzLv/Pe+clY0Mj2V0R6uIlI2SB/xi2Ns9wLp5joHPO3dldiTNq/qhVUTKRMhhkncBjwMbzazTzD4Rqq2Z9A6O0jMwOu8hknnjQyX1Q6uIlImqUDt29+tD7Xsu9uWGSC404E9vqGZFYzW7DvZHUZaISHCx76J54+jCxsAXuritme37ji14PyIiiyH2Af/SoT4SNtGHvhCb1jXzWtcJegdHI6hMRCSs2Af8i4f62bCigdpUcsH72rS+GYDnOnsWvC8RkdBiH/Avv9nPxlXLItnXRW3NAGzf2xPJ/kREQop1wA+MjPFG9wAbV0cT8KfVpTintYHt+3oi2Z+ISEixDvhX3jyOO5wfUcADbFrXwvZ9PbjrjlYRWdpiHfAvHcoOady4uimyfb7jzBaOnhjhFY2HF5ElLtYB/+KhfmpTiQWPgS901fkrAfjtzkOR7VNEJIRYB/xLb/Zx3qplC5pkbKrVp9VyyfpmHlDAi8gSF9uAT2ec5zp7ufCM6Lpn8t574Wp27O+jMzfPvIjIUhTbgN95oJf+oTHedfbyyPf93gtXA/CbnW9Gvm8RkajENuAff+0oAJcHCPizVjTwJ2tP487H9zCWzkS+fxGRKMQ24B977Sjnrmxk5QKe4jSTz1x1LnuODnD/9gNB9i8islCxDPjRdIan9nTzp+dEf/Wed80Fq7hgTRPfeugVRsZ0FS8iS0+w6YJL6dl9PQyMpBfcPfPjJ/ZOu/yjl63HzPjC5o3ceMdTfPn+5/mXD12EWXSjdUREFiqWV/A/f/YA1ckElwe8gge4cuNKPnvVufy0o5PbHnyZtJ7XKiJLSOyu4I8Pj3Hv0/u59qI1NNdXB2/vc+85j4O9Q3zroVd58vVubtl8Pu84syV4uyIis4ldwN/3zH6OD4/xscvPDNbG1K6bS9Y1c+lZp/O1X77Ah779GOetauTK81eyqa2ZC85oYl1LPYkIb7YSESlGrAJ+aDTNHf/3Om9b28Smdc2L1q6ZMZZ2Pnf1eTyzt4cd+3v5j0d2k++xaahOsu70etpa6ljbXMfaljrWnFbHisYaVjRWs7yxhua6lE4CIhKpWAX8P/96F7u7TnDHje8syQ+eNVVJ3nX2ct519nJG0xne7BviYO8Qh3qHODYwwo79ffzvK0cYnmbUTcJgeWMNp9dXs6y2imW1VTTWprKfa6porJlY1lhTRW0qQW0qSU3V5PfCz1FO0SAi5SdowJvZZuCbQBK43d2/HqKdTMb5ziO7+cHjb/DJPzuLKzeuDNHMnKSSCdpa6mlrOXmis8GRNL1Do5wYHuP48Nj4+/GhMQZG0nQPjHCwd4ih0TRDYxmGR9OMzeMH3KqEUVOVIFWVoCqRoDppuc9GKpnIvSY+JxNGVcJITHlPmpFMZF/j6yy3burLCr5XzDqbfruTluVe+banbm9mJIyT3hOW3d7GPzPp5F94Ciy8JtCIKImDYAFvZkng34GrgU7gKTP7ubu/EGU7vYOjfOrODv64u5vNF67mls3nR7n7IOqqk9RVz+0RgmOZDMOjGYZG0wyPZRhLZxjNePY97Yxlsu+j6QxjaWc0k30fS2dIe3ZunnTGybgzlnEyGWdkLMPgiJP2iXUZdzIZcp/B88v8FMsyjufWxXUMkVn2RGBmGNkTBePLwLCTtrHciWS65ZA/0Zz83fH2ciekwu8yTR3589Dkdgv2W7h86nbj20z/Ob/fxCmOYWKfU7+T/Tt/9px0bOPfP3k5+e8V1DtpfwXHl9/D5H2d6vsFJ/Rptpn63zC/w8LtqpMJalIJaqqy/0KuqUpQk5r4nP/Xc20qQW1VwedUklQycdKFxWIJeQV/KfCqu+8GMLOfAB8EIg34ZTVVLKtN8W8fvogPv6MttldeVYkEVTUJGmqWbq9axgvCfvyEUHByyBQun1g/aVnGyZA9yXjBdu5O+lQnF7LvTnZ9/lksnjvpuE98zhQ8qGXSCcmn/ZjbV+7k5RPr8vubuiz/fS/8br6eSdtP1Dx1WWEN+Xon78ML2pxYlsnva7xmn7JNwdI5HMvEPnzKNvmaJuouPM6Jt8nHULjf6doqbKNw/am2mfrf5OS2/BTLC+uceZt0RA/4mfovyfyJunVZDY/ccmUkbRQKmRZrgX0Ff3cCl03dyMy2AFtyfx43s5fm09jt8/nSZCuAIwvfzZIT1+OC+B5bXI8L4ntsCzquFwH7h3m3fcohgyEDfrpL6ZNOg+6+FdgasI6imFmHu7eXuo6oxfW4IL7HFtfjgvge21I9rpB3snYC6wr+bgM0M5eIyCIJGfBPAW8xs7PMrBr4CPDzgO2JiEiBYF007j5mZp8BfkN2mOT33H1nqPYiUPJuokDielwQ32OL63FBfI9tSR6XeUS/DouIyNISy9kkRUREAS8iElsVH/BmttnMXjKzV83s1lLXExUz+56ZHTazHaWuJUpmts7MHjazXWa208xuKnVNUTGzWjN70syezR3bV0tdU5TMLGlmz5jZL0tdS5TMbI+ZPW9m282so9T1FKroPvjcdAovUzCdAnB91NMplIKZ/TlwHPiBu7+t1PVExczWAGvc/WkzWwZsA/4yJv+bGdDg7sfNLAU8Ctzk7n8scWmRMLPPA+1Ak7tfW+p6omJme4B2d19yN3BV+hX8+HQK7j4C5KdTKHvu/gjQXeo6oubuB9396dznfmAX2bumy55nHc/9mcq9YnEFZmZtwAeI5KZzKValB/x00ynEIiwqgZltAC4BnihxKZHJdWNsBw4DD7p7XI7tG8AtQByfUO/Ab81sW27qlSWj0gO+qOkUZOkxs0bgHuBmd+8rdT1Rcfe0u28ie+f3pWZW9t1rZnYtcNjdt5W6lkCucPe3A+8DPp3rHl0SKj3gNZ1CGcr1T98D/Mjd7y11PSG4ew/we2BzaSuJxBXAdbm+6p8AV5nZD0tbUnTc/UDu/TBwH9mu3yWh0gNe0ymUmdwPkd8Fdrn7baWuJ0pm1mpmzbnPdcB7yE40WNbc/Yvu3ubuG8j+f+whd7+hxGVFwswacj/2Y2YNwDXAkhm5VtEB7+5jQH46hV3AT5f4dApFM7O7gMeBjWbWaWafKHVNEbkC+BjZq8Dtudf7S11URNYAD5vZc2QvPh5091gNKYyhVcCjZvYs8CTwK3d/oMQ1javoYZIiInFW0VfwIiJxpoAXEYkpBbyISEwp4EVEYkoBLyISUwp4EZGYUsCLiMTU/wOiv6LOHCPROAAAAABJRU5ErkJggg==", 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" ] @@ -264,7 +265,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 21, "metadata": { "collapsed": false, "pycharm": { @@ -279,7 +280,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 22, "metadata": { "collapsed": false, "pycharm": { @@ -289,7 +290,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -311,7 +312,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 23, "metadata": { "collapsed": false, "pycharm": { @@ -321,7 +322,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -343,12 +344,12 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 24, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -365,27 +366,28 @@ "# set title\n", "fig.suptitle('Joint Tunings')\n", "for i in range(9):\n", - " ax[i].imshow(res_reshaped[:, :, i], cmap='viridis', extent=[0, 180, 0, 360])" + " # 100 is for scaling\n", + " ax[i].imshow(res_reshaped[:, :, i], cmap='viridis', extent=[0, 100, 0, 100])" ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 16, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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kI7kFwLcB3GdmlzZ6e9bDMIMzC2Cve7wHwKkhrn8oSFbRCc2DZnb1oPDYnYIyzOAcA3AryTdmJ4Xdjc6pGWODJNG5k+AJM/uc+9LYnYIy7KPj7wXweQBlAA+Y2X8MbeVDQPJdAH4G4CkA7Wz6M+i8z3kIwF8gu9OOmZ3fkI1cI/rkWEL0ybGEKDgSouBIiIIjIQqOhCg4EqLgSIiCIyF/Am3T3AxM9WMMAAAAAElFTkSuQmCC", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAI4AAAD7CAYAAAC8Eqx6AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8qNh9FAAAACXBIWXMAAAsTAAALEwEAmpwYAAAONUlEQVR4nO3dXYxcZRkH8P9/Zvazn7v0I01bKSQENSYUrQWDMSqWVDRAopg20aAh6Y0aiEZB7rwg6RXBK5NG0CYgWAtEQghaEaImiC0F5WOB1obStZVSdmGXbvdjdh4v5rDvu9uZ7plnds/Ozvx/Cdl33jkz5+z2z5l55pzzDM0MIrXKLfQGyOKk4IiLgiMuCo64KDjiouCIS13BIbmd5Bskj5K8c642ShofvZ/jkMwDeBPANgD9AA4C2Glmr83d5kmjKtTx2K0AjprZMQAg+TCAGwFUDU47O6wTS+pYpWRtGINnzGz1zPl6grMewInodj+Aqy70gE4swVW8to5VStb+bPuPV5qvJzisMHfe6x7JXQB2AUAnuutYnTSSet4c9wPYGN3eAODkzIXMbI+ZbTGzLW3oqGN10kjqCc5BAJeRvIRkO4AdAB6fm82SRud+qTKzIskfAPgjgDyA+83s1TnbMmlo9bzHgZk9CeDJOdoWWUT0ybG4KDjiouCIi4IjLgqOuCg44qLgiIuCIy4KjrgoOOKi4IiLgiMuCo64KDjiouCIi4IjLgqOuCg44qLgiIuCIy4KjrjMGhyS95M8TfKVaK6X5AGSR5KfPfO7mdJo0uxxfgNg+4y5OwE8bWaXAXg6uS0tZNbgmNlfAQzMmL4RwN5kvBfATXO7WdLovO9x1prZKQBIfq6Zu02SxaCuKznTULeK5uTd47xDch0AJD9PV1tQ3Sqakzc4jwO4JRnfAuAPc7M5slikKccfAvAcgMtJ9pO8FcBuANtIHkG5B+Du+d1MaTSzvscxs51V7lJPthamT47FRcERFwVHXBQccVFwxEXBERcFR1wUHHFRcMRFwREXBUdcFBxxUXDERcERFwVHXBQccVFwxEXBERcFR1wUHHFRcMRFwRGXNNdVbST5DMk+kq+SvC2ZV6uTFpZmj1ME8GMz+wSAqwF8n+QnoVYnLS1Nm5NTZnY4GQ8D6AOwHmp10tJqeo9DchOAKwE8j5StTkjuInmI5KEJjNW5udIoUgeH5FIAjwC43cyG0j5O3SqaU6rgkGxDOTQPmtmjyXTqVifSfNJUVQRwH4A+M7snukutTlpYmo5c1wD4DoCXSb6UzN2FcmuTfUnbk7cB3DwvWygNKU2bk78DYJW71eqkRemTY3FRcMRFwREXBUdcFBxxmfcG2efJ5S98v5Wy2Y7z1msLs96ZWK2Ane/1VtmHTFae1h5HXBQccVFwxEXBERcFR1wyraqYyyHX1el7cJqqp1S5IrNqjy1F81WqOau2TNoqLK6SosqFuSrVU1zdVFmG1SqvXIr9QK1V24dVVlXbs4iUKTjiouCIi4IjLgqOuGR7rKq9Ddyw7vz5ahVKPB+NGVc6pSqVzmQ0PxkOuFip8ny8vBWLYV3xY+PxRFgGpRkHdKLjcWwLf2Lmo+N00ZiF6J8hn6u8TK7y/LTl44opWt7i6oxVxrF4/vXKi2iPIy4KjrgoOOKS5rqqTpL/JPmvpFvFz5N5datoYWn2OGMAvmxmVwDYDGA7yauhbhUtLc11VYZwxKIt+c9Q7lbxxWR+L4BnAdxxoecqdhcw8NlVyROHecZFVTxfisfhjlxUxOQmomqrGC0zER6cj8YcD+PcaKiMcmMT0fx4WMFYGNvoaBifHZkal0anV1W59rawviXdYdwZHafraA/P1RnGpY7w2FJn+Oex9vD/+GRbGJeisRUYzUfjqAiLKyyLdxtRIWVxsVVPVUUyn1zFeRrAATNzdasojp1NszpZBFIFx8wmzWwzgA0AtpL8VNoVxN0qCh1LnJspjaamqsrM3kf5JWk71K2ipaWpqlaTXJmMuwB8BeVXPnWraGFpDjmsA7CXZB7loO0zsydIPgd1q2hZaaqqf6Pcvm3m/HuosVtFcYXh9HVJlTLtxLrobXw8LoYxi9HZc+NhPjcW5vNjYT4fCiAUzoVx29mw4sJIGLd/GKqt9qFQbRWGQvu5/GD05j4+XhZVWwDArq4wXrF8ajzZE97jFZeH7mTjy8M/w/jS8PsUu8PvM7EkjIvh6TEZFWqTHWGbStHY2qNxIaoAC9HvkIuq02iMB1CRPjkWFwVHXBQccVFwxEXBEZdMzwDcsGQQu6/eDwCYjA6OjJbC8ZmRUqg2PpgMx3kGiqEiOTO2dGr8zuiyqfF758Lyg8NhPDIcnjM3FH7l9vdzFcedA+HgTteZMI6vCMtHx7AwOIgYu0PZE1dSo2vCNp1bFbZjtDf8LcZXIhqHSq+0PBxL61gWKr2eZeGY2UVdYby2c3hqvKojXBzVWwiV4Yp8WL47F56zMxfWtROVaY8jLgqOuCg44qLgiIuCIy6ZVlU9uUl8Y+n5XzwzZuFd/HApVCsD0RmA706GSuXExEVT4+Pjq8J4NMy/1dk7Nf5v+4rw/PlQ2YwjOlNvMj7mFdbbNhKdbdcR/lz5wgV6GUb3xY8pdofnmohOTZoIhSHGV0TXd/WEv8vylaECWr/ig6nxpqUDU+OLO98L4/YzU+ONbWF+dT4cuOuNdhvLcuEsxA6Gv4uqKplTCo64ZN+uVi5sgbrV1kp7HHFRcMQl05eqwVIej3xYPiMuy2NVYymOVbWFQztoi070K4xE12GNRR0qilVajs+4L35M/FxtZ6PrpKKvKrWo+0Rc9Q1Nht9/bDz8DoOjodp8uytcTPtm59qpcT3HqqrRHkdcFBxxUXDEpZbvHc+TfJHkE8ltdatoYbXscW4D0BfdVreKFpaqqiK5AcDXANwN4EfJdM3dKvrP9uAn//hm+cacXVcVXUtV5bqq5VWvq4quparxuiobiZ50hvi+/GA4BhSfQVgYDaVUx1Ca66rC8xS7wniwM1SVZ6JrqfqqXlcVHQBMc10VXkAlafc49wL4KYC4b32qbhXSnNJcO/51AKfNrHL0Zn/8VJuTySG1OWkWaV6qrgFwA8nrUd7bLif5AJJuFWZ26kLdKsxsD4A9ANBx6YYG+f5Cqdesexwz+5mZbTCzTQB2APiLmX0b6lbR0ur5HGc3gG0kjwDYltyWFlHTsSozexbl6snVraLwAbHmT0lFUFcPwMq9/uaqByDT9AA8d4GqKr4vF1d94bniaqs90x6A+WgcbXSVHoDHUZk+ORYXBUdcFBxxUXDERcERl0zPACyMFNF78Mz5dzTY91WVou+rQprvq5qhNB5VaBY+Lee56ABale+rykVnAOYa4fuqqtAeR1wUHHFRcMRFwREXBUdcsr0EeHwC1n/K99ioYqp6bkZcMU17aJVHlKadhlj5sdWWqfacwLRvBbbo2JgxOosx/t6o+LHRMvFxrmmLVKt6cin2AykqpjS0xxEXBUdcFBxxUXDERcERl0yrKiuVUDo3OttC2WzMeeudp/Popx1vi4+ZVVk+RdUzL1vK2vYh2uOIi4IjLgqOuKS9dvwtAMMAJgEUzWwLyV4AvwOwCcBbAL5lZoPVnkOaSy17nC+Z2WYz25LcVreKFlZPVVVztwoA047jSAXzVd3Nut7a/l3S7nEMwJ9IvkByVzKnbhUtLO0e5xozO0lyDYADJF9Pu4IkaLsAoBPdsywti0WqPY6ZnUx+ngbwGICtSLpVAMBs3SrMbIuZbWlDR6VFZBFK0x9nCcllH40BXAfgFahbRUtL81K1FsBjyclDBQC/NbOnSB4EsI/krQDeBnDz/G2mNJpZg2NmxwBcUWG+5m4V0jz0ybG4KDjiouCIi4IjLgqOuCg44qLgiIuCIy4KjrgoOOKi4IiLgiMuCo64KDjiouCIi4IjLgqOuCg44qLgiIuCIy4KjrikCg7JlST3k3ydZB/Jz5HsJXmA5JHkZ898b6w0jrR7nF8AeMrMPo7ypTJ9ULeKlpbmSs7lAL4A4D4AMLNxM3sf5W4Ve5PF9gK4aX42URpRmj3OpQDeBfBrki+S/FVyKbC6VbSwNMEpAPg0gF+a2ZUAzqKGlyWSu0geInloAmPOzZRGkyY4/QD6zez55PZ+lIOkbhUtbNbgmNn/AJwgeXkydS2A16BuFS0tbWOlHwJ4kGQ7gGMAvody6NStokWlCo6ZvQRgS4W71K2iRemTY3FRcMRFwREXBUdcFBxxUXDERcERFwVHXBQccVFwxEXBERcFR1wUHHFRcMRFwREXBUdcFBxxUXDERcERFwVHXBQccVFwxCVN04HLSb4U/TdE8na1OWltaa7kfMPMNpvZZgCfATCC8pfWq81JC6v1pepaAP8xs+NQm5OWVmtwdgB4KBmnanOibhXNKXVwkuvGbwDw+1pWoG4VzamWPc5XARw2s3eS26nanEhzqiU4OxFepgC1OWlpabuOdgPYBuDRaHo3gG0kjyT37Z77zZNGRTPLbmXkuyi3gjuT2Uobwyos3t/5YjNbPXMy0+AAAMlDZlap107TasbfWYccxEXBEZeFCM6eBVjnQmu63znz9zjSHPRSJS6ZBofkdpJvkDxKsumOppPcSPKZ5Bt2XiV5WzLfdKegZPZSRTIP4E2UPyzsB3AQwE4zey2TDchAcuhlnZkdJrkMwAsonzXwXQADZrY7+R+mx8zuWLgtrV+We5ytAI6a2TEzGwfwMMqnZjQNMztlZoeT8TDKX8+0Hk14CkqWwVkP4ER0uz+Za0okNwG4EsDzaMJv2skyOKww15QlHcmlAB4BcLuZDS309syHLIPTD2BjdHsDgJMZrj8TJNtQDs2DZvbRQeGmOwUly+AcBHAZyUuSk8J2oHxqRtMgSZS/SbDPzO6J7mq6U1CyPjp+PYB7AeQB3G9md2e28gyQ/DyAvwF4GUApmb4L5fc5+wB8DMk37ZjZwIJs5BzRJ8fiok+OxUXBERcFR1wUHHFRcMRFwREXBUdcFBxx+T9N7uFeskVTDQAAAABJRU5ErkJggg==", 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" ] @@ -414,7 +416,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 26, "metadata": { "collapsed": false, "pycharm": { @@ -428,7 +430,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 27, "metadata": { "collapsed": false, "pycharm": { @@ -443,7 +445,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 28, "metadata": { "collapsed": false, "pycharm": { @@ -457,13 +459,13 @@ "" ] }, - "execution_count": 22, + "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -492,7 +494,7 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 29, "metadata": { "collapsed": false, "pycharm": { @@ -533,68 +535,75 @@ " \n", " \n", " 0\n", - " 1.152136\n", - " 6.882893\n", - " -1.545938\n", - " -0.027471\n", - " -1.348491\n", - " -0.067572\n", - " 3.253269\n", + " -4.559656\n", + " 6.088501e-15\n", + " 5.236211\n", + " 1.127316e-13\n", + " -3.530877\n", + " -4.189611e-13\n", + " 2.688094\n", " \n", " \n", " 1\n", - " 1.081195\n", - " 6.691970\n", - " -1.446044\n", - " -0.080450\n", - " -1.327843\n", - " -0.204249\n", - " 3.526015\n", + " -4.542878\n", + " -5.230832e-02\n", + " 5.215859\n", + " -8.860678e-02\n", + " -3.517901\n", + " 1.007660e-01\n", + " 2.677216\n", " \n", " \n", " 2\n", - " 0.996579\n", - " 6.447147\n", - " -1.338009\n", - " -0.133996\n", - " -1.298363\n", - " -0.338896\n", - " 3.770720\n", + " -4.492672\n", + " -1.042152e-01\n", + " 5.154961\n", + " -1.765388e-01\n", + " -3.479075\n", + " 2.007685e-01\n", + " 2.644661\n", " \n", " \n", " 3\n", - " 0.937118\n", - " 6.268197\n", - " -1.259541\n", - " -0.170523\n", - " -1.273480\n", - " -0.424933\n", - " 3.869237\n", + " -4.409430\n", + " -1.552890e-01\n", + " 5.053951\n", + " -2.631118e-01\n", + " -3.414666\n", + " 2.992772e-01\n", + " 2.590699\n", " \n", " \n", " 4\n", - " 0.938863\n", - " 6.362412\n", - " -1.261052\n", - " -0.188472\n", - " -1.318064\n", - " -0.425958\n", - " 3.715137\n", + " -4.293779\n", + " -2.051631e-01\n", + " 4.913619\n", + " -3.476756e-01\n", + " -3.325180\n", + " 3.955234e-01\n", + " 2.515725\n", " \n", " \n", "\n", "" ], "text/plain": [ - " PC1 PC2 PC3 PC4 PC5 PC6 PC7\n", - "0 1.152136 6.882893 -1.545938 -0.027471 -1.348491 -0.067572 3.253269\n", - "1 1.081195 6.691970 -1.446044 -0.080450 -1.327843 -0.204249 3.526015\n", - "2 0.996579 6.447147 -1.338009 -0.133996 -1.298363 -0.338896 3.770720\n", - "3 0.937118 6.268197 -1.259541 -0.170523 -1.273480 -0.424933 3.869237\n", - "4 0.938863 6.362412 -1.261052 -0.188472 -1.318064 -0.425958 3.715137" + " PC1 PC2 PC3 PC4 PC5 PC6 \\\n", + "0 -4.559656 6.088501e-15 5.236211 1.127316e-13 -3.530877 -4.189611e-13 \n", + "1 -4.542878 -5.230832e-02 5.215859 -8.860678e-02 -3.517901 1.007660e-01 \n", + "2 -4.492672 -1.042152e-01 5.154961 -1.765388e-01 -3.479075 2.007685e-01 \n", + "3 -4.409430 -1.552890e-01 5.053951 -2.631118e-01 -3.414666 2.992772e-01 \n", + "4 -4.293779 -2.051631e-01 4.913619 -3.476756e-01 -3.325180 3.955234e-01 \n", + "\n", + " PC7 \n", + "0 2.688094 \n", + "1 2.677216 \n", + "2 2.644661 \n", + "3 2.590699 \n", + "4 2.515725 " ] }, - "execution_count": 52, + "execution_count": 29, "metadata": {}, "output_type": "execute_result" } @@ -610,7 +619,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 30, "metadata": { "collapsed": false, "pycharm": { @@ -628,7 +637,7 @@ "(2592, 7)" ] }, - "execution_count": 53, + "execution_count": 30, "metadata": {}, "output_type": "execute_result" } @@ -651,7 +660,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 31, "metadata": { "collapsed": false, "pycharm": { @@ -666,7 +675,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 32, "metadata": { "collapsed": false, "pycharm": { @@ -684,7 +693,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 33, "metadata": { "collapsed": false, "pycharm": { @@ -710,7 +719,7 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 34, "metadata": {}, "outputs": [], "source": [ @@ -719,7 +728,7 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 35, "metadata": { "collapsed": false, "pycharm": { @@ -729,12 +738,14 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" }, { @@ -751,7 +762,7 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 36, "metadata": { "collapsed": false, "pycharm": { @@ -762,16 +773,16 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 55, + "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] @@ -797,7 +808,7 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 37, "metadata": { "collapsed": false, "pycharm": { @@ -808,16 +819,16 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 56, + "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] @@ -835,7 +846,7 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 38, "metadata": { "collapsed": false, "pycharm": { @@ -849,7 +860,7 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 39, "metadata": { "collapsed": false, "pycharm": { @@ -860,7 +871,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -874,7 +885,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Decoding... done\n" + "Decoding... " ] } ], @@ -885,22 +896,22 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": null, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 59, + "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -916,22 +927,22 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": null, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 60, + "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] diff --git a/Separability.ipynb b/Separability.ipynb new file mode 100644 index 0000000..8eb74f4 --- /dev/null +++ b/Separability.ipynb @@ -0,0 +1,311 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Separability of phase and orientation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Imports**" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "\n", + "import sys\n", + "import seaborn as sns\n", + "import sympy as sp\n", + "import numpy as np\n", + "import pandas as pd\n", + "from matplotlib import pyplot as plt\n", + "sys.path.insert(0, './model')\n", + "sys.path.insert(0, './numerical')\n", + "\n", + "from sym_model import *\n", + "from model import decoding\n", + "from model import persistence\n", + "from utils import get_orientation_phase_grid" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "p_func = sp.lambdify(\n", + " (x0, y0, k, sigma, phi_rf, theta_rf, phi_grating, theta_grating, ),\n", + " p, 'numpy')\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "n_theta, n_phi = 36, 72\n", + "# n_theta, n_phi = 9, 12\n", + "step_phi, step_theta = 360 // n_phi, 180 // n_theta" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "grid = get_orientation_phase_grid(step_phi, step_theta)\n", + "grid = grid.reshape((-1, 2))" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [], + "source": [ + "res = (np.abs(p_func(0, 0, 6, 1, 0, 0, grid[:, 1], grid[:, 0])) * 10).reshape((n_phi, n_theta))\n", + "get_res = lambda x, y: (np.abs(p_func(x, y, 6, 1, 0, 0, grid[:, 1], grid[:, 0])) * 10).reshape((n_phi, n_theta))" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [], + "source": [ + "def reconstruct(img: np.ndarray):\n", + " x_avg = np.mean(img, axis=0)\n", + " y_avg = np.mean(img, axis=1)\n", + " new_image = np.outer(y_avg, x_avg)\n", + " new_image *= np.sum(img) / np.sum(new_image)\n", + " return new_image" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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RcMRFwREXBUdcFBxx+T9N7uFeskVTDQAAAABJRU5ErkJggg==", + "text/plain": [ + "
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giIuCIy7/BxKX4VyNuAqeAAAAAElFTkSuQmCC", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.imshow(reconstruct(res))" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/latex": [ + "$\\displaystyle 1100.34214154386$" + ], + "text/plain": [ + "1100.342141543863" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "def separability(img):\n", + " return (np.mean(np.abs(img)) - np.mean(np.abs(img - reconstruct(img)))) / np.mean(np.abs(img))" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "xs = np.linspace(0, 100, 10001)\n", + "data = [separability(get_res(0, x)) for x in xs]\n", + "plt.scatter(xs, data)\n", + "plt.ylabel('Separability score (0-1) at point (0, x)')\n", + "plt.xlabel('x')" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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