From 45b6e133f563c39a47f675dd96f0d53e93af3326 Mon Sep 17 00:00:00 2001 From: ennucore Date: Fri, 15 Jul 2022 16:45:25 +0300 Subject: [PATCH] Managed to decode orientation --- PopulationSampling.ipynb | 376 ++++++++++++++++++++++++--------------- sym_model.py | 86 ++++++--- 2 files changed, 300 insertions(+), 162 deletions(-) diff --git a/PopulationSampling.ipynb b/PopulationSampling.ipynb index c286595..b492a52 100644 --- a/PopulationSampling.ipynb +++ b/PopulationSampling.ipynb @@ -36,7 +36,7 @@ "outputs": [], "source": [ "%matplotlib inline\n", - "from sym_model import Population\n", + "from sym_model import Population, sigmoid\n", "\n", "import sys\n", "import seaborn as sns\n", @@ -76,10 +76,12 @@ }, "outputs": [], "source": [ - "limit = 1500\n", + "limit = 500\n", "# n_theta, n_phi = 18, 24\n", - "n_theta, n_phi = 9, 12\n", - "step_phi, step_theta = 360 // n_phi, 180 // n_theta" + "n_theta, n_phi = 36, 72\n", + "# n_theta, n_phi = 9, 12\n", + "step_phi, step_theta = 360 // n_phi, 180 // n_theta\n", + "N = 40 # number of cells" ] }, { @@ -108,34 +110,37 @@ "name": "stdout", "output_type": "stream", "text": [ - "[0. 0.] [160. 330.]\n" + "[0. 0.] [3.05432619 6.19591884] (2592, 2)\n" ] } ], "source": [ "grid = get_orientation_phase_grid(step_phi, step_theta)\n", - "grid = grid.reshape((-1, 2)) * 180 / np.pi\n", - "print(grid[0], grid[-1])" + "grid = grid.reshape((-1, 2))\n", + "print(grid[0], grid[-1], grid.shape)" ] }, { "cell_type": "code", "execution_count": 4, - "metadata": { - "collapsed": false, - "pycharm": { - "name": "#%%\n" - } - }, + "metadata": {}, "outputs": [], "source": [ - "res = Population.random(10).sample_responses(limit, custom_grid=grid, use_sigmoid=False)\n", - "res, phi_deg, theta_deg = res[:, :, 0], res[:, 0, 1], res[:, 0, 2]" + "population = Population.random(N)" ] }, { "cell_type": "code", "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "phi_deg, theta_deg = grid[:, 1] * 180 / np.pi, grid[:, 0] * 180 / np.pi" + ] + }, + { + "cell_type": "code", + "execution_count": 6, "metadata": { "collapsed": false, "pycharm": { @@ -144,14 +149,22 @@ }, "outputs": [], "source": [ - "import pickle\n", - "with open('res.pkl', 'wb') as f:\n", - " pickle.dump(res, f)" + "# res = population.sample_responses(limit, custom_grid=grid, use_sigmoid=False)\n", + "# res, phi_deg, theta_deg = res[:, :, 0], res[:, 0, 1], res[:, 0, 2]" ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "res = np.abs(population.response_func(grid[:, 1], grid[:, 0]).swapaxes(0, 1)) * 10" + ] + }, + { + "cell_type": "code", + "execution_count": 8, "metadata": { "collapsed": false, "pycharm": { @@ -166,7 +179,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 9, "metadata": { "collapsed": false, "pycharm": { @@ -176,15 +189,15 @@ "outputs": [ { "data": { - "image/png": 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+ "image/png": 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"text/latex": [ - "$\\displaystyle \\left( 108, \\ 10\\right)$" + "$\\displaystyle \\left( 2592, \\ 40\\right)$" ], "text/plain": [ - "(108, 10)" + "(2592, 40)" ] }, - "execution_count": 6, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -195,7 +208,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 10, "metadata": { "collapsed": false, "pycharm": { @@ -209,13 +222,8 @@ }, { "cell_type": "code", - "execution_count": 10, - "metadata": { - "collapsed": false, - "pycharm": { - "name": "#%%\n" - } - }, + "execution_count": 11, + "metadata": {}, "outputs": [ { "name": "stderr", @@ -231,13 +239,13 @@ "" ] }, - "execution_count": 10, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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5547lgbe28dyK8jhWKBIfCgCRNmrqm/inh5dROLQ/P752Sqfb/DtzxyUlTB01lHlPrGBndV2cqhSJDwWASBt3PbOa3TX1/NcNU8nKTO/2+6WnpvDfN0yjudW588mVOnNYehQFgEjUy+srefK9nXz5gvFMLxoWt/ctGj6Ar19awqvvV/HY0h1xe1+R7lIAiACHG5r51lOrmJA3iC9dMD7u7/+ZM4qZWZzNd59dw+4D9XF/f5HjoQAQAX7y4vvsOlDH3X8/iYy0+P9bpKQYP/zkZJpaWrnzyRXaFCQ9QpA3hb/PzCrNbFWbcdlmtsjMNkSH8etnixyn5dur+c0bm7l51mhOG50d2HKKcwZyxyUTeXl9FQuX7wpsOSKxCrIH8Bvg0qPGzQMWu/sEYHH0uUjSNLW08vUnVpCXlcm/XloS+PJuObOYKSOH8N1n11Bdq7OEJbkCCwB3fxXYd9To2cCC6OMFwFVBLV8kFr94bRPrdh/kO7NPictRP51JTTH+45pJ7K9t4u4X1gW+PJFjSfQ+gHx3LweIDvMSvHyRD23Zc5ifv7SBS08ZwSWnjEjYck85YQi3nj2Gh5ds5+1NexO2XJGj9didwGY218zKzKysqqoq2eVIH+PufOOplWSkpfCd2ackfPlfuWgChUP7c+dTK2lobkn48kUg8QFQYWYFANFhZUcvdPf57l7q7qW5ubkJK1DC4bGlO3hj417mXTYxKdftH5CRxveuPpVNVYe555WNCV++CCQ+ABYCc6KP5wDPJHj5IlQdbOD7z61lZnE2N84oSlodF5TkceXkAv7fyxv5oPJQ0uqQ8AryMNCHgDeBEjPbYWa3AncDF5vZBuDi6HORhLpr4WrqGlv4j2smkZLSvWv9dNe//d3JZKan8M2ndJkISbzA7gjm7jd2MOnCoJYp0pk/rt7NcyvL+drHT2R83qBkl0NeViZ3Xn4Sdz65ksfKdnDdjFHJLklCpMfuBBaJtwN1Tfzfp1cxcUQWXzjv+C/zHG/Xl45iRvEwvv/8WvYcakh2ORIiCgAJjbtfiHzA/vCTk0lP7Tl/+ikpxg+umURtYzPfe3ZNssuREOk5/wUiAXp5XSUPvbOd284Zy+SRQ5Ndzt8Yn5fFF88bx9PLdvHaBh32LImhAJA+r+pgA3c8vpyJI7L454tPTHY5HfqHC8YzNmcg855YyYHapmSXIyGgAJA+zd254/HlHKxv5r9vnEZmemqyS+pQZnoqP7luChU19XxDRwVJAigApE/7zRtbeGV9Fd+84iROzM9KdjmdmlY0jK9efCLPrSzn0bLtyS5H+jgFgPRZy7ZX84MX1nHhxDw+ffroZJcTs9vPG8cZY4dz18I1OkFMAqUAkD6p/EAdn/9tGfmD+/GjONzcPZFSU4yfXT+VzPQUvvzgu9Q2Nie7JOmjAjsRTLruQF0TH1Qe4oPKg5QfqKdsy37SU41+aan0S0+hOGcAJxcMZuiAjGSX2qPVNjZz24Iy6hpb+N1ts8ge2Pt+XyOGZPKz66fyud8s4Y7HVvA/N03rVSGWDM0trawpr2HZ9mr2HW5gf20Tjc2tQOSmP6Oy+zM+bxDjciM/yT4LvCdQACRRY3Mr72zex5/WVfLK+ko27Tn8kenpqUZzi3NkV+AzyyJ3kSoc2p/Txw7nopPyOOfEXAb102o8orXV+edHlrO2vIZf3TKjV2z378j5JXl8/dKJ/OCFdRS/OIA7LpmY7JJ6nMqD9fxx1W5e3bCHtzbu5WDDX3tLgzPTyEhLBZzdNfVUHfzrSXbDB2ZwXkkuF5Tk8bGJeQwM6f9QOFudZO9XHOThd7bz5Hs7qK5tIiMthTPHDefa0lGcmD+ICXlZnDA0k0fLduDuNLU4dU0tnHLCYNaU17By5wFeWlvBE+/uICM1hfNLcrm2dBTnl+T2qBOcEs3d+ebTq/jD6t1864qTuKCk999uYu65Y9my9zD/+/JG8rIymXNmcbJLSrrG5lZeXLObJ5bu4NUNe2hpdUYO68+VU07grPHD2VBxiOyBGR/5X7hpVhGHG5rZVHWYdbtr+MsHe/jTukqefHcnAzNS+cTUE7hhRhGTRw4JVU9LAZAgra3On9ZVcu+rG1kS3bTz8VNGcPXUQs4cP5wBGe2vCjMjI83ISEvh3BNzOffEyKWxm1taKdu6nxdXV7Bw+U5eXFNBzqB+fPK0kXxqVhGjsgcksnlJ19Lq/Nszq3jonW186YJx3Hr2mLi874Nvb4vL+xwvM+O7s09lz6FGvr1wNWmpxqdm9Z4d2vG0/3AjD76zjQVvbKHyYAMjBmcy99yxXDOtkPF5gz784O5onQ3sl8akkUOYNHII15aOoqXVKduyj8eW7uCp93by0DvbmTpqKF88fxwXn5Qfik1E1huONS4tLfWysrJkl3FcmlpaWbhsF/e+upH3Kw5ROLQ/t5xZzDXTCxk+qN8x5z36D/mmWe1furippZVX1lfxaNl2Fq+twIHzT8zl5tNHc35JHql9/A+5obmFf3l0Oc+uKOf288bx9UtL4vYt7ngCoKP11B0NzS188YF3+dO6Sr51xUncds7YuC+jp9pYdYj7/rKZJ97dQX1TK+dMyOFzZ4/h3Am57f5tt7fOOlsnNfVNPP3eTn7x2ia276tjfN4gbj9vHJ+YcgIZab23V21mS929tKPp6gEEpLaxmUeWbOeXr21mZ3UdJflZ/Oz6KVw5+YS4b6ZJT03h4pPzufjkfMoP1PHQO9t56J1t3LqgjMKh/blpVhHXzxhFTieB0xtV1NTzhfuXsmx7NXdeNrFHXeQtnvqlpXLPzdP56iPL+N5za9m+r5ZvXXlyn93k5+68/sFe7nt9M39aV0lGWgpXTy3kc2ePoWRE/PfrDM5M5zNnFHPTzCKeW1nOPa9s5GuPLeenL67ntnPGcsPMUR320nsz9QDibM+hBn77xhZ++9ZWqmubmFE8jC+eP44LSvK6/K001h5Ae5paWlm0poL739zKm5v2kp5qXHZqAZ8+YzSlo4f1ie2ci9ZUMO+JFdQ1tfCTa6dw2aSCuC+jp/QAjmhtdX7wwlp+8dpmSkcP4+c3TqNwaP/AlpdotY3NPPnuTha8sYUNlYfIGZTBp08v5lOnF8X8BeZ4egBHc3deeb+Ke17ZyDub9zFsQDq3nDmGOWeO7lVH4akHkCBb9hzmF69t4vGlO2hobuWik/K5/byxlBZnJ6We9NQULp9UwOWTCvig8hC/e3srjy/dwcLluyjJz+Lm04u4cvIJDOuFh0juPlDP959fy++X7+LkgsH8/IapTOjFR/t0RUqK8c0rTmbyyKHMe2IFl/zsVb5+2URumlnUqzf1rd99kMfKtvNo2XZq6puZVDiEn143hSsmF9AvLfGX7zAzLijJ44KSPJZu3cc9r2zkZy+9z72vbuSmmUXcds5YRgxJ/K1E4009gG5oaXVeWR+5yuTidRWkp6RwzfRCbjtnbFxuNtKdHkB7ahub+f3yXdz/1lZW7awhNcU4c9xwLp9UwMcm5iXl3rhdsbO6jt+8vpn739qKO3zx/HH8w/njA91G29N6AG1t31fLvCdX8PoHez+80N1FvWjn5Y79tfxxdQVPvruD1btqSEsxLj11BJ89awzTi4Yedy81Hj2A9qzbXcO9f97EwuW7SDG49NQCPjWriFljsntsj7qzHoACoIvcnTXlNTy3opyn3ttJ+YF6cgb14/oZI5lzRjF5cfwQjXcAHOHurN5Vw3Mry3l+ZTlb99YCUJKfxTkTcigtzmZ60dC4tuV41Te18Mr6Kh5eso0/v1+FAVdNK+SrF52YkCOdenIAQGRdvrBqN//5h3Vs3VvL2JyBXDO9kE9MKaRoeM86EqyusYX3tu3nrU17WbS2krXlNQBMKhwSrfmETg+MiEVQAXDE9n213Pf6Zp5YuoOa+mbG5Q7k6mmFXDn5BIpzBsZtOfHQIwPAzC4Ffg6kAr9092PeGzjZAVDf1MKSLfv4y4Y9vLimgs17DpOaYpw1PoebZo7iwpPyA9kZF0QAHP2eN84cxdryg7y2oYrXNuzhnS37Pjx78oQhmZSMyGJs7iDG5g5kXO4giocPJGdQBmkBtNfdqTrYwPsVh1ixs5rXP9jDki37aWxuJX9wP64rHcV1paMSeohrTw+AI5pbWnluZTkPvLWVJVv2AzBl5BBmjR3O9KJhTC8aSm5Wv4R8U21pjazH7ftruf/Nreyuqae8uo6d1XW0OqQYlI7O5uKT87nwpDzG5sb31pxBB8ARdY0tPLtiF48s2U7Z1sjv/NTCwXxsYj7nTshhyqihSd9J3+MCwMxSgfeJ3BR+B7AEuNHdO7wVUiIDoL6pha17a1kbPeFq5Y4DLNtRTWNzK+mpxqwxkU0ml5ySH5dvK8cSSwB0NSQ6e319Uwv/teh9tu+vY/v+WqoONrC/tpH6ptYPX2MWOZMyZ1A/crP6MaR/OgMz0hjQL5WBGWm8X3GQjLQU0lJSMACDIx87Ta1OU3MrJSOyqG9q4UBdE5UHG6ioqWdndR3Vba6DP3FEFmePz+GcE3M5a9zwTkMniA/reJwH0NUPn+5+gO2sruP3y3exaE0FK3ccoLElsu6y+qUxOmcARdkDGDYggx376xiQkUr/9NQPzzNJTTHSUoyUFOPV9yM3pmltdVpandPHDaeppZWmFqehqYWa+mZq6puoqYsMq2oa2FldR0VNPc2tf/1cyUxPYcTgTEYPH8gtZxVz2uhhDM5M79LvpLPfT2eCDuWd1XU8v6Kc51eVs3x7Na0e+X1PLRrKpMIhTB45lJIRWYwa1j+QL08d6Yk7gWcCH7j7JgAzexiYDcT9Xni1jc0crG+mtrGFww3N1DW1UNvYQl1jMzX1zew51MCeg41UHWqg6mA92/fVsetAHUcyMTM9hZMLBvOZ00dz9oQcZo7J7pOHgrWVmZ5K0fCBFA3/a1f2hhmjKK+pZ2PlIbbti4RC1aEGKmsiw5376yK/48ZmDjc00xrDd4o/rN5NZnoKg/qlkz+4H3lZ/ZgyaigT8gZRkp9FyYiswAO2ryoc2p/bzxvH7eeNo76phVU7D7BixwG27j3Mlr21rNt9kAO1TeyvbfzIunp4ybEvP/1AOx+8GWkpDM5MZ3BmGjlZ/Zg5JpuCIZmcMLQ/hcP6s3ZXDUP6p3/Y8+gLZ2e3p3Bofz5/7lg+f+5YDtQ28cbGPfzlgz0s217N/Fc3fRiIaSlG0fABFA7t/+EXqNxB/Rg+KIOB/dIYkJHKgIzIcGBGGv0zUhk6ID2wnkQyPs0KgbZ/aTuAWUEs6PvPreV3nXxbGJiRSm5WP3IG9WNG8TCKc0YyJmcgJ+ZnMSFvUELTujOxfPPpbo+gPW0/GFLM+OpRd9Vq+x7uTnOr09DcSkv0j75tLzMtNYWM1BQ+c8boLu2sDOqM3ESc6ZuITXkdvWdmeiqlxdm8X3GIkhGDKRkx+MNp7k5jcyu1TS00NrfiDq3u0Z/IdPfI1UlTU4zZUyPnsKSnRdZhVmba39xgp21d5dX1cTlkMtlnY3fVkAHpXDap4MPDkuubWlhbXsPGqsNsqjrE5j2H2V1Tz+Y9h6k82PDhJteO/PqWGVwwMZjgTMYmoGuBS9z9tujzTwMz3f0fj3rdXGBu9GkJsD6Gt88B9sSx3GTra+2BvtemvtYeUJt6g1jbM9rdczuamIwewA5gVJvnI4FdR7/I3ecD87vyxmZWdqztXb1NX2sP9L029bX2gNrUG8SrPcnYvrEEmGBmY8wsA7gBWJiEOkREQi3hPQB3bzazLwN/JHIY6H3uvjrRdYiIhF1SDmlx9+eB5wN46y5tMuoF+lp7oO+1qa+1B9Sm3iAu7ekVZwKLiEj89ZxjHEVEJKF6VQCYWbaZLTKzDdHhsA5ed5+ZVZrZqqPG32VmO81sWfTn8sRU3rE4tCmm+ROlC+251MzWm9kHZjavzfges446qrHNdDOz/45OX2Fm02OdNxm62Z4tZrYyuk56xoW5iKlNE83sTTNrMLOvdWXeZOlmm7q2niIne/SOH+CHwLzo43nAf3bwunOB6cCqo8bfBXwt2e2Ic5timr8ntYfIzv+NwFggA1gOnNyT1tGxamzzmsuBF4hc6eJ04O1Y5+1N7YlO2wLkJHu9HEeb8oAZwPfb/l31xHXU3TYdz3rqVT0AIpeMWBB9vAC4qr0XufurwL4E1dRd3W1TTPMnUCz1fHg5EHdvBI5cDqQniaXG2cBvPeItYKiZFcQ4b6J1pz09VadtcvdKd18CNHV13iTpTpu6rLcFQL67lwNEh8dzfvSXo93b+5K9uSSqu22Kx+8knmKpp73LgRS2ed4T1lFnNR7rNbHMm2jdaQ+AAy+a2dLoWfo9QXd+zz1xHUH36+rSeupxVzYzs5eAEe1M+mYc3v4e4LtEfknfBX4CfC4O73tMAbcp4eLQnvYuAnTkcLSkrKN2HKvGzl4Ty7yJ1p32AJzl7rvMLA9YZGbror3SZOrO77knriPofl1dWk89LgDc/aKOpplZhZkVuHt5tGta2cX3rmjzXr8Anj3+Sru03MDaBHR3/i6LQ3s6vBxIstZRO2K5ZElHr8mIYd5E6057cPcjw0oze4rIpopkB0BMl5UJYN4gdauurq6n3rYJaCEwJ/p4DvBMV2Y+anvm1cCqjl6bQN1qUxzmj7dY6unwciA9aB3FcsmShcBnokfPnA4ciG726omXOznu9pjZQDPLAjCzgcDH6Rn/O935PffEdQTdqOu41lOy93p3cQ/5cGAxsCE6zI6OPwF4vs3rHgLKiewk2QHcGh1/P7ASWBH9pRb0gTa1O38vaM/lRG4MtBH4ZpvxPWYdtVcjcDtwe/SxAf8bnb4SKO2sfUleN8fVHiJHpCyP/qzuKe2JsU0jov8vNUB19PHgnrqOutOm41lPOhNYRCSketsmIBERiRMFgIhISCkARERCSgEgIhJSCgARkZBSAIiIhJQCQEQkpBQAIiIh9f8BNiDx/40twG0AAAAASUVORK5CYII=", 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", 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" ] @@ -249,7 +257,7 @@ } ], "source": [ - "sns.distplot((res).ravel().clip(-0.1, 0.1))" + "sns.distplot(res.ravel())" ] }, { @@ -291,7 +299,7 @@ "outputs": [ { "data": { - "image/png": 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+ "image/png": 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", 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" ] @@ -306,7 +314,7 @@ "fig, ax = plt.subplots(3, 2)\n", "ax = ax.flatten()\n", "# set title\n", - "fig.suptitle('Joint Tunings - By Phase')\n", + "fig.suptitle('Marginal Tunings - By Phase')\n", "for i in range(6):\n", " ax[i].plot(phase_linspace, res_reshaped.mean(1)[:, i])" ] @@ -323,7 +331,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -338,29 +346,56 @@ "fig, ax = plt.subplots(3, 2)\n", "ax = ax.flatten()\n", "# set title\n", - "fig.suptitle('Joint Tunings - By Orientation')\n", + "fig.suptitle('Marginal Tunings - By Orientation')\n", "for i in range(6):\n", " ax[i].plot(orientation_linspace, res_reshaped.mean(0)[:, i])" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(3, 3)\n", + "ax = ax.flatten()\n", + "# 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])" + ] + }, + { + "cell_type": "code", + "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 12, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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+ "image/png": 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" ] @@ -389,34 +424,21 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 17, "metadata": { "collapsed": false, "pycharm": { "name": "#%%\n" } }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "persistence.persistence(res, 1)" + "# persistence.persistence(res, 1)" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 18, "metadata": { "collapsed": false, "pycharm": { @@ -430,7 +452,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 19, "metadata": { "collapsed": false, "pycharm": { @@ -456,7 +478,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 20, "metadata": { "collapsed": false, "pycharm": { @@ -465,12 +487,12 @@ }, "outputs": [], "source": [ - "res_df = pd.DataFrame(res[:limit], columns=['x' + str(i) for i in range(20)])" + "res_df = pd.DataFrame(res, columns=['x' + str(i) for i in range(N)])" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 21, "metadata": { "collapsed": false, "pycharm": { @@ -485,7 +507,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 22, "metadata": { "collapsed": false, "pycharm": { @@ -499,18 +521,20 @@ "" ] }, - "execution_count": 18, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ - "
" + "
" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -527,12 +551,12 @@ } }, "source": [ - "Seems like we need about 5 components" + "Let's take 6 components" ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 23, "metadata": { "collapsed": false, "pycharm": { @@ -565,76 +589,64 @@ " PC2\n", " PC3\n", " PC4\n", - " PC5\n", - " PC6\n", " \n", " \n", " \n", " \n", " 0\n", - " -1.612520\n", - " -0.547999\n", - " -0.110458\n", - " -0.530344\n", - " 0.888399\n", - " -0.105346\n", + " 1.152136\n", + " 6.882894\n", + " -1.545937\n", + " -0.027478\n", " \n", " \n", " 1\n", - " -1.007680\n", - " -0.069920\n", - " -0.222961\n", - " 0.443805\n", - " -0.416626\n", - " -0.541131\n", + " 1.081195\n", + " 6.691970\n", + " -1.446043\n", + " -0.080447\n", " \n", " \n", " 2\n", - " -0.228229\n", - " 0.523023\n", - " 0.226259\n", - " -0.233582\n", - " -0.340139\n", - " -0.273262\n", + " 0.996579\n", + " 6.447147\n", + " -1.338007\n", + " -0.133982\n", " \n", " \n", " 3\n", - " -0.178205\n", - " 0.297823\n", - " 0.294549\n", - " -0.225669\n", - " -0.151865\n", - " 0.018889\n", + " 0.937118\n", + " 6.268196\n", + " -1.259540\n", + " -0.170500\n", " \n", " \n", " 4\n", - " 0.113908\n", - " -0.155210\n", - " 0.616534\n", - " 0.036769\n", - " 0.003957\n", - " -0.032182\n", + " 0.938863\n", + " 6.362411\n", + " -1.261050\n", + " -0.188440\n", " \n", " \n", "\n", "" ], "text/plain": [ - " PC1 PC2 PC3 PC4 PC5 PC6\n", - "0 -1.612520 -0.547999 -0.110458 -0.530344 0.888399 -0.105346\n", - "1 -1.007680 -0.069920 -0.222961 0.443805 -0.416626 -0.541131\n", - "2 -0.228229 0.523023 0.226259 -0.233582 -0.340139 -0.273262\n", - "3 -0.178205 0.297823 0.294549 -0.225669 -0.151865 0.018889\n", - "4 0.113908 -0.155210 0.616534 0.036769 0.003957 -0.032182" + " PC1 PC2 PC3 PC4\n", + "0 1.152136 6.882894 -1.545937 -0.027478\n", + "1 1.081195 6.691970 -1.446043 -0.080447\n", + "2 0.996579 6.447147 -1.338007 -0.133982\n", + "3 0.937118 6.268196 -1.259540 -0.170500\n", + "4 0.938863 6.362411 -1.261050 -0.188440" ] }, - "execution_count": 19, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "N_COMP = 6\n", + "N_COMP = 4\n", "pca = PCA(n_components=N_COMP)\n", "pca.fit(res_df)\n", "data_pca = pca.transform(res_df)\n", @@ -644,7 +656,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 24, "metadata": { "collapsed": false, "pycharm": { @@ -654,15 +666,15 @@ "outputs": [ { "data": { - "image/png": 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+ "image/png": "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", "text/latex": [ - "$\\displaystyle \\left( 432, \\ 6\\right)$" + "$\\displaystyle \\left( 2592, \\ 4\\right)$" ], "text/plain": [ - "(432, 6)" + "(2592, 4)" ] }, - "execution_count": 20, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" } @@ -685,7 +697,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 25, "metadata": { "collapsed": false, "pycharm": { @@ -700,7 +712,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 26, "metadata": { "collapsed": false, "pycharm": { @@ -718,7 +730,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 27, "metadata": { "collapsed": false, "pycharm": { @@ -744,7 +756,16 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 37, + "metadata": {}, + "outputs": [], + "source": [ + "step = 5" + ] + }, + { + "cell_type": "code", + "execution_count": 38, "metadata": { "collapsed": false, "pycharm": { @@ -754,7 +775,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
" ] @@ -771,12 +792,12 @@ } ], "source": [ - "param_1 = decoding.cohomological_parameterization(res_df, coeff=12).to_numpy()" + "param_1 = decoding.cohomological_parameterization(data_pca[::step]).to_numpy()" ] }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 43, "metadata": { "collapsed": false, "pycharm": { @@ -787,16 +808,16 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 25, + "execution_count": 43, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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du8+pX92bFjoc2OJbu3FrbovGxvAka/wV432e3buPnbvngGotmqxWRCRz1S6ai5ZUlVa/i5aiq29l835l9co2zbKyZuXrmAhrNtzE0WFl89Xv7qhVr6q6x+p2/1VNsw7XR1IHooqlqpsqLU93x75/RN1Teb1poadRlKlZBibq9kStAGChxl++dAlz84vDvVdpKcbTvHXDOQC5rTqbwR4XLakqrW0XLUXbwa5468zmW2W9x+yuPZVbynlp1q1XAPPGLOjMpm2zXLbuhFr1Cg5s9QK5LWWblm/ZFnyVgcSi3lKVQVSbHljW/VHlm2YDdiWMeUSdfnWvDXrRx6rS7bFt0cS7aBPjfRDYuXsuUwGqdNGSRjLLPXDllvsquxyqKHyVLqoLd4JtryaLsoU1Op51XsL06tKrnhy4t0zSwNWhV0lsDFrR+wzLlefi/au6qWBx5VtWr+rAa4Ne9LHSDM8hB+e3lIbdUox30WyMZPy5l607IdfXC9V9fXm+3qQcRX5MKM7XKpVE1V5NkrI+5bTzwoHbeA2qV/tNMsWAuC7VpVdxbAxa0ftUaW1XMXgu3t9V5TuMDWi88qEnsfH9JX1jazbclJpWvKVYdsS7Lv93WT+ejS+3rK/PxtdbBZt8TZsVU2WGSjLN+Pulm8hyPuW082nfNp5uFb2y0RkXemWjz0XvU+TqSnuuqzwqq1e2Y0TxdIvsSnQ9lBurKIvXBh3Kb+hQdUCzqKVYpABlldVmgMhFRbJ241Z27Sk/cFM0jc/FwJttmsn3K1tY00gbSK1br2x0xoVe2epM3vvkVXLx3mQ8rbQ0zz5xkiu33Mdv/s2dtVUCRXngqmKJ0q/TgCcRk9Gtc8309LSZmZkZ+nOTHxOCjzXIVm22aZaZ751lIKYmxhcNWhVdU/Z912y4KbUVK8CDGy8c6P3LYvN+ZXElq8t0i3Smbr2q413S0kgj71u6KFdgnweDND6yZK0DEdlmjJlOO+d9C70sVVuKdbQ+y9TOdXR7q7yviwUxVXEx795Vt9eFXkXpFslWt17VkUdVXF1JXCxgy3tmMg8GeV8X7hQbOmfQ6yok8fRs5sbW3ZWqo9ubJVueD9XVGEIVXKwMhWrfqim9qkLd/uFBnlvUmxxkwLMqrlbGunan2OD1LJckPkXjg/x5urYj4utPLTfbpMrKyTpmm1TB1ZS7svikV0Wyuppp4eK5bdIraE9gvDw6ZdBdFBJXrQQXhtUG26XQZSoJV0aiSh640AGf9KpI1qb0qspz26RXLip1F3TK5eKikLjqnlVZkm5DE5H1qvoP63ZjgJv380mvXPiHoR69GpZf2oVeuRonqptOGXQXhaSKT9kGF0aiqYiFUfplFNuVD9mFDvikVy5kVb3yJ8Rwp1wuLrporrqoLvyDriLr+eRDdqEDPumVC1lVr4azbL8OOtVCdzklre5ulYsWmqspaS66m65aPC50wCe9ciGr6pW7HlXdeGXQXfjGmsJFwXM1Jc0nHzJU66Z3Ra+gmSm0VZ7rk161ZZ55Ed4YdJfzdpui7oLnk1+2LS2eLupV3aheBbhoKNSNNz70puaD+4RPfllXspZF9aoY1avyNDXN0ZtYLlVijNjQZAyOtqRbd7wQl9Qth+qVu3Rd6VVTspbBRRyiiE7EcmlyPnhZXHXjm9z2y8XcZVeylkH1yi+9alLWMjQ1zdEbl4ur5bouMr5qN75IVl9WQUK7pqTVEWKhTJrQLr1qIt1RkDVPB5qa5uhNCz1rlBmyN8gdZEFEfGPesl3FKoW5rvjnWWnXKWtRmlCthVp1NWLepglVY6pDN/SqKE1X6bZJVldpVompfvaJk7mbiwyKNz70NIr8lFVjPydJ+j7T7umPCYccvIRdu+cYE2E+JV8nxvssX7pk4WOefeLkwg7uWff0RNhvDEdPjPPsc/sO2HwieU08zejvTdtmS8saTzMycFGhmFjW55kf72Nuv0lNM8uYRQgcIGtamuP93qJd7rNkjWN7T9k881WvJpb1eWr3HPtj148BK5b1F76VT3pVVtZB9CpPVpt7Vr9gnNse2Mm8MfREOOu4w/nmw08NPK6S50P3yqAna9qsjxsVrKwBr+iaKJ14xmdhY1hdMxZuXLm/8MrnSdvrsvRzgV5PDtg3ta0M+s5Z99voVS8s6D0RjptcxgM7drder6rQlF5VKQN1UEcZKNIr63QGNegich5wFdADrjPGbEy55tXAx4A+8IQx5lV5aZY16LY7oCzIE/7vhwlSFGWU+UGJGVUDzXIRkR5wNfBaYDtwu4jcaIz5TuyaCeBPgfOMMQ+LyE9YS2dJmk82DzXkiqL4QE+k+CJLbGa5nAHcb4x5wBizF7gBuChxzVuALxhjHgYwxjxem4QhbYtqpiiKUgdF40JlsDHoU8Ajsb+3h8fivBg4XERuEZFtIvL2tIRE5FIRmRGRmR07dpQSdMV4v9T1iqIoPjBV41RGG4Oe1h9IVilLgNOBC4F1wP8UkRcfcJMx1xpjpo0x05OTk6UErbFXMhSE52XuibD2RUfQ7xW/RE8EIZi50BtbfH1vTLxZOFDH5+qPyQF5MIznVkmnpJiVcaFX/V6QTtT1F6kvH+umKb2qi+RT645fZGMftgMrY38fAzyacs0/GmOeNcY8AXwNeFk9Igbs2p09+h/FbSj6RrYFoDcmTIz3C5UnHi/ibWetWvh7YrzPkp4Q9aTmjeGbDz/Fm16xcuGaLPYbw4MbL+TOD57LH7/xZYuecckZK+n1DjTykaxZvrjDl/VzZU2rOKI0pybGOXxZfu8oytf4MyYy7okMS5HfsCfCm85YuSgPiuiJ8DMvOuKAhUJJ4kYxC8Pz33dZP72YREn0RHjLmat421mrnjeKHKiPbdWrN71iJd98+KmFrr8xsKSnepWUoy69imTsiXDx6fUG6LMx6LcDx4vIGhE5CHgzcGPimi8BPyciS0RkGXAmcG9tUpK9wmoi5opZMd7PNepRAThj9eG5H35+v+HpH+8DshVkIscF9PSP9x0wvWnP3Dxfvuuxhb+z0o0WnqzduJWZh3606NyX73rsgHTjsh42voR+IgPG+z0ufOlRubLO789OE+DClx6Vq8zzxvCNB3eye+/z9+zMqIAjo5Ema/K6TdtmF+VBUWGNvu/Fp08tFNa0ewxQ5LaMf9/Dly9d3IIlME5REpGsAD+54uDQmAuJbG21XiUnHMzNL9arpKHoj4nXegUs7Jtb5PKoU68kJmskS50Bu2ynLV5AMCWxB1xvjPmoiLwLwBhzTXjNZcA7CaaIXmeM+VhemnVMW+yPBX3DuJKPSXHGDjqHts3zsuPvn7WYoSzj/R6nrVpROFc/jk0eu/pW8Xm9eXPGs0jTK5tFM13WqySR+28uWWuVoEm9ii/GSlt8lMagetWaeeguqLKw6PLNd/O5rz+ysHBj6RJh99ywlxj4RR0LQOpMpw6ixTh58kQLx2xWlybTVr0aHm3Rq35PWH7QEp7aM1e7XkUro7NWT5eN7Jln0H0ZY2PzHbNs2ja7qLuiha6YugpLGwpdRKQDWe4FgYWgYGWnhKleDZe26FXcxVSnXsXTynKn1RmwyxuDXnZhURZtHb1XypFVqLJafPFZHjazQpTRYz7s9dWpV1Gas7v28OzefaljXMOe5dIK6lhYZDsLwhWDmpGmzFBTz+2NSe4A18J1YaGamhjPbPFFhXT50iVWs0LKYiurC1Sv3DCIXqW18ufmDYccvMTpbkreGPSsbkl86lRR68t2tBrya96sJ+TdM97v8dbYtK7kNK8iOaYmxnnrWasOqIz6sellZVufgzw3L828KWllWsrz+xcXgCyiKXm3bjgnd8ZC1FLatG2Wy9adkDvDoYxepcnaFr3Kw1avkmkWzQppu15F6RUxiF7tz3DJ7No9tzC75tYN59S+65c38dCz4gt/8HUnHxD/Oi/E5Z65eb763R25YU7TwprGozxmDW5ECpB2T1Hc4zUbbipME2D62CNy000+d/fefalTvaKRddut0uLPzRoQKgofG58psnzpEv7Ty45aCGGa1QLatXuOOz5wLpC9rVe8sk/TkyTxuOxV9MpG1rbole1WaEV6VTbdtutVtM4g77mD6JWrnbCK8GqWSxUjabNfpKtCUkZ+F2lG58salmTs6yppJtNdMd7n2b2L51HXEWM8GS87Gbc6S7vjOuDq+7dBr6rubepCr4rev0t65WpPWejQtMU0XBhJm2eW/VhF97hIM36dbcFykSbU16IrU5htnpuFCyNZhCsdGIZhtU237k2j26xXae8CB+6OVVZnOmvQXRjJKN1hK56rNMviqhK06S25ytM2GEnbe7qqA64qwa7plQ0DxUNvM0X7VmbtF1mmdVLXbuU2+xa6SLMsrnYrt/EpuspTKKcDNvuhutqtvqs6UGWPWRvapFdnnzjJlVvu4zf/5s7a9tkti9cG3YWRbFLxfE6zqBWUNfhYNAc3L11bWZM6EO3WXvemyXmMul65aii0Ra9cbvJeBm+mLaaRpWA2xmftxq0LwYriwXFcKl5yitagiwqqppn3/lXSjJQ5WkUXKXM83fWnTnHFG04pNQe3KF1Xsqpe1Z+mizyF9uhVXoVd9K51znzxuoWeVjv3x4Tde/exZsNNVqPzyZrUVQu1qvvHRZp57+/KRZFM34aqLjUgswVuI6vqVfk0i9Kt0pJ25aZyoVc2FXbV3kQZvB4UhfpHp5sc7HCdJrgZ8LKdHpqkyLBUSbco36pMZVW9qifdNkzjBDd65WoqaxqdGRTNyox4odq1Z27RPcnWV1ZNOrtrz0Lr6+LTpxbNw3Y12JH3cV2kmff+RV3/OnyOyfSKWl9V0i3Kt6w0o3jhdetVdHyYg2hN6FXVgeS8dKvoalN6VaZXV9cAaBretNBtWgB5MYqjEJbPPrfvgMKZxGbqY9zo5+Vg9NyyCzPy3iVa4VZlfnRWSyIKSVtFVps8qrJGwHbBR5nWV1qaSWz1Kt6iK5uvXdMrm7JXVtasPI3HMm+LXkXplunVVaUT89BtPlTWNXH6vSD6vW0w+6w0y8ZxLmtYbTdRKFsAbIL5V6kEkqtLzz5xkk3bZisZlrgBAGpxfWTJarPc3DbN5PsmsflWvuqVTXzwsrKm6Wra5iNN6lWW+8fVeg7oiEG3rSGLWl8QBF5adtASqyW8VXYmySJeAKqkmRfCs2jDhzjxYP5ZBTFurIoqSShfAGwq36qr88q0wOvSq2Truqii6KJe2VBWr+K6evREcWyiYepVXqu+6riSDZ3Y4CLLv7VivL8wrenKLfctiqSYRTziWVYUteh5ZacU5T53z9zCVClbbEN4lklzbt6wfOmS3Khw8TjONpHpklO0isYqdqfEhq6aZnLdQXwaW1rUv3i6NlPJbNOMgr7l5Wskaxf1Kp5uFmX1Kq6rt244J3Oz+GHr1cR4HyTY4zRt6uMwpiim4Y1BT5sb2h8Tnt27b9F8UpvQqPFMzUo3GsxIU5AsdZmaGLfadLYMtiE8y1LGsBjswo3GC0BeuoZws19hIUTrIGmmLfiwNay2c47LpJknazT42lW9itK1SbPtehXfWHvzHbOLdGD50iWpG3ZHFYWLufw2eGPQ0xYQHHLw4JlaVPMmFSQrjnM83bTn5pEXP7qo8slLMy9+dJSubZpRuNE6ZY23vuqofNMWnhRVAlkLU4DMBS02FUvW+0ct1Kb1Km6szj5xUvUq51ulLT6zmdVUVq/qwKtpi8kpP1kxxPOmiqXN+yyaohYpyJ0fPHfhWF786LTnVolLnjbt6Yo3nDJw/Oi4kUjKWkeaaelmdd3jLeWyaUaDWVG+pk1Rs023zCKhKrKm5WtTegXP77QT9WrL+P/T8iiZBz7rVdY+CvEpmDZTH8vqVR14Myiahk+LZMouvLAZea8a5jQv3nlT4XNdpdkWWV0NkpXVq0EM66joVdWB8qJpiXXZq84sLEriYimtq0UyNr2FsotZqvRA6lr6X3aBRJWWchG2C09cpFs2zSaX/sdlLerV2qaZTLdLemXb+rZ5nzjDCM7ltUGvkqlFVKkkXMQycWWsXISGBXfxQfKoaiSbSLctsUxs322U9cr2Ww2rUi+D1wYdqilJUXrQfM3r6uO7kNVVEKUiXAU7cpFuFb1yEXLXVZ51Sa9cVBIwnOBc3ht0F7Sh5nX18V3IOozA/Wm4Kngu03XhUiorA9T/bl3SK6i/kojShPrzPo4a9BpoS4uuKVmH4RvMwkXBc5luGVz10ly8m296VUfUwyq41is16DXQlhadbZrghy8bmit4bWAYXfS68EmvhjF9sCm8nraotIMmY2x3nVGu0HzaE2CYdHbaotIOXPVQmvShtoU2uH6awpVeNekidI0adKUWXBieLhc8xQ4XejWM6YNN4U0sF2X0aCpindJtmgqcNQxGsoU+yn5Jn/BpUFDxB1eunDbYlZEz6F0e4e4avhW8NhRoxY66XTltsStWs1xE5DzgKqAHXGeM2Zhx3SuA24A3GWM+n5dmU7NcfB/hVgZDZ+QoLhimXRloxyIR6QFXA+cDJwGXiMhJGdf9IbBlMHHdogNto03ezJk2pqv4QVvsis2g6BnA/caYB4wxe4EbgItSrvt1YBPweI3y1Y4OtI02rgpeWwq00gxtsSs2Bn0KeCT29/bw2AIiMgW8HrgmLyERuVREZkRkZseOHWVlrYUuj3ArxbgqeG0p0EoztMWu2Bj0tH2hko73jwHvM8Zkb4sOGGOuNcZMG2OmJycnLUWsl/Wnpm8NpX7O0cBVwWtLgVaaoS12xWaWy3ZgZezvY4BHE9dMAzdIsCfgkcAFIrLPGLO5DiHrZpRX3406vkVoVPyhDXalcJaLiCwBvgf8PDAL3A68xRhzT8b1nwK+3NZZLoqiKD4zUCwXY8w+EXkPweyVHnC9MeYeEXlXeD7Xb64oiqIMB6uFRcaYm4GbE8dSDbkx5h2Di6UoiqKURWO5KIqidISRW/qvKEp70HAJ9aIGvWNonBLFF9oS/6RLqEHvEK4KiBY8xUWFrhuY1I/60DuExilRXBBV6LO79mB4vkLffMfsQOlquIT6UYPeITROieICVxW6hkuoHzXoHULjlCgucFWha7iE+lGD3iE0ToniAlcVelvin3QJHRTtEBqnRHGBy60A2xD/pEtY7VjkAo3louhUSH/w6Vv5JGsVBorloigucDkVsusFugl8aUmPul6pD11pBFczJ1xNsVP8YNT1Sg260giuZk7onPnRZtT1Sg260giuZk7onPnRZtT1Sg26BZvvmGXtxq2s2XATazdura2b5SpdH3A1FdKnOfOj/P1dMep6pQa9AFe+M198cq5wNQfZlznzLr//KFcUo65XnZu2WPdI9NqNW5lN6VZNTYxz64ZzWpeu4mY2gi96lZzlAYHh0QU7g9OWWS4jM23RxZSlUYiP0hZFrYu6p9j5pFdtimCoejV8OuVycTES3fX4KKPu+rHBJ71qS0NB9aoZOmXQXShz1+Oj+DIdq0l80qu2NBRUr5qhUwbdhTK7GmRpS2Aily26rgzO+aRXbWkotKWnMGp0yofuKoiQK99ZlXTr9ksePTGeOjg3aIvO5e5Jw/bL+qRXVQOp+aJX4Megd1N0yqB3PSqgCyPpyli5GJxrqpLwTa/KVhQ+6ZULWbvU+PBq2qJPtagLWV1Odatb1jUbbiJNswR4cOOFldJ08f6+TfMbdb1yIatvetWJaYsuo6hdvvluPvf1R5g3hp4Il5y5ko+sP2UgWS/7/F3MzZsFWS/7/F0Dy+rKL+mi6++iy+3i/V1O81O9ql+vXMjqm17l4c2gqKtR88s3381nbnuY+bCnMm8Mn7ntYS7ffHflNH/v7+9ZKHQRc/OG3/v7ewaStergXNHgpIvBSxeDcy4GJ10ZM5/0amJZv9TxiCb0yoUO+KRXRXhj0NNae3nHbfnc1x8pddyGnbvnSh2PKCoAZ584mXpf1vEozbz5wK7mC68/dYqLT5+iJwJAT4SLTx+sxXbZuhPo92TRsX5PBqokqhqzInzSqyyva543tim9cqEDPulVEd64XHoiC62d5PFBSEsz77grbFxKX/3ujtR7s45DcdevatewyD+6+Y5ZNm2bXdRC3bRtluljj8hM18rnmvwsFp8pL90qxsyGqnpVt9/ZRq+e2pNeIWQdh+b0CiitA13SqyK8aaEPUkDyWidZFUJRRZGX7sR4Ru2ccRzsXEpVunFF91RJ06b1VdZFZpvm3P6Ey2G/yXW7FaVbxZhF6datV0WyutKrKi6Hqno1u2tProumbh3wTa8GxRuDPpWhXFnHwe5jXnLmytR7s47bpPuhXziZ/liiCzcmfOgXTs5M08awVil4RfdknR8TySx4LiofVxVaUbpV8tSVXhXJ6kqv0sY7+mPC7r37MnWgql4BAzUCuqxXdeCNQa8yyGbzMT+y/hTedtaqRb7et521Knc2QlG660+d4so3vmzRKsAr3/iy3K6mjQJUKXhF9+zeu+8AIwFBzyer4LmofFxVaEXptkmvimR1pVfJVasT432QwDefpQNF+ZZ2PkkVw1q2AeKTXtWBNz70Kos7bGvej6w/pdR0Mpt006Zs5fncbBZiJPNgxXifZ/fuWxgUS/OPFt2zc/cc/Z4wMd7nqT1zjKWMVSR9nzZTEtPeJ16RJN/fRZo26bZJr2zywIVeJdNdu3EruxKugaQOFOVb8nyWYzRpWKvoADzvek2WAZ/0qg68MehQfl6rq+XHVdItGpyyVYCyBc/mnrl5w/KlS7jzg+eyZsNNqfInu+h1Vz6uKjTbdNugV1VWV9alV3FsK6xkvkXjCvHnRAtzshbvFBnWIh0oaoC0Ta9cL470yqCnUUfrpCxV0rUZ9S9rWFwMktq2EqHeysdVheYitonL2C5lZXWhVy4aLFUMq40OFDVA2qRXLhdHRlgZdBE5D7gK6AHXGWM2Js6/FXhf+OczwK8aY+6qRcIcXLROonTrju3hYqFBlYJXdE+VLroNVd1Ug6ZZJd2m9KqKrC70ykWDpYphtaGqmyoPV3o1jNWjhQZdRHrA1cBrge3A7SJyozHmO7HLHgReZYzZKSLnA9cCZ9YiYQ4uWie2tWgbuulVCl7RPa58fy7e35Xro0m9KouLPHDVYCmbZza46C250qthrB61aaGfAdxvjHkAQERuAC4CFgy6MeZfY9ffBhxTm4Q5+BSDwYXiVSl4Nvf4UvBcuT5GXa+gHQ0WaCYSpqs8dZVHcWwM+hQQX6+8nfzW9y8B/5B2QkQuBS4FWLVqlaWI2fgSAArctXyrGF8XBruJgudTb8I3vSqLCyPoqrdchKs8dVVRxLEx6GlL21JnIYnI2QQG/WfTzhtjriVwxzA9PT3wIlifulvgxyazVWiq4LlKU/WqmgxQrxFsKmIhtGvzkTLYGPTtQHx52zHAo8mLROSlwHXA+caYJ+sRLx+fultdpsmC5wLVq2rUbQSH4XMeNq4rXxuDfjtwvIisAWaBNwNviV8gIquALwD/2RjzvdqlzMGX7laX0YJnlx6oXpVhGD7nrlFo0I0x+0TkPcAWgmmL1xtj7hGRd4XnrwE+ALwA+FMJljrvy9pRwwfa0IX1CS14dqhelWMUejV1YzUP3RhzM3Bz4tg1sd+/DPxyvaIpvqAFT3GB9mrK4/1K0S7jyx6qWvAUV2ivphxq0FvKMJYJ14kWPEVpHm/C544aZTeIUBRFUYPeUro4c0RRFLeoy6Wl6MwRxRW+jM0o5dEWektpascTpdvYbJ83ChTtCesr2kJvKTpzJEBbk/XStVW9VfBtwkEZ1KC3mFGfOdLlgtcUOjbT7UpNXS5Ka9GZPvXT1G70baLLlZoadKW1dLngNYWOzXS7UlODrrSWLhe8plh/6hRXvOEUpibGEWBqYpwr3nCK966GMnS5UlMfutJaNEaMG0Z9bKbLEw7UoCutpcsFT2mWrlZqatCVVtPVgqcoLlAfuqIoSkfQFnpN6AIYRVGaRg16DegCGEVR2oC6XGpAF8AoitIGtIVeA7oAxi98co/5JOuo04ZvpQa9BjTUrT/45B7zSdZRpy3fSl0uNdDllWddwyf3mE+yjjpt+VbaQq8BXQDjDz65x3ySddRpy7dSg14TugDGD3xyj/kk66jTlm81ki6Xru5WohTjk3vMJ1lHnbZ8q5Frobdl8EJpBp/cYz7JOuq05VuJMWaoD4yYnp42MzMzQ3/u2o1bU7tGUxPj3LrhnKHLo3SHNkxbU7qPiGwzxkynnRu5FnpbBi+UbqE9P6UNjJwPXTdNUFzQlmlrymgzcga9LYMXSrfQnp/SBkbOoOsWXIoLtOentIGR86GDzhlX6ke3y1PawEgadEWpm7ZMW1NGGzXoilIT2vNTmmbkfOiKoihdxcqgi8h5InKfiNwvIhtSzouIfDw8/y0ROa1+URVFUZQ8Cg26iPSAq4HzgZOAS0TkpMRl5wPHh/8uBT5Zs5yKoihKATYt9DOA+40xDxhj9gI3ABclrrkI+LQJuA2YEJGjapZVURRFycHGoE8Bj8T+3h4eK3sNInKpiMyIyMyOHTvKyqooiqLkYDPLRVKOJSN62VyDMeZa4FoAEdkhIg9ZPD+NI4EnKt47bFRWN6isblBZ66duOY/NOmFj0LcDK2N/HwM8WuGaRRhjJi2enYqIzGRFG2sbKqsbVFY3qKz1M0w5bVwutwPHi8gaETkIeDNwY+KaG4G3h7NdzgKeMsY8VrOsiqIoSg6FLXRjzD4ReQ+wBegB1xtj7hGRd4XnrwFuBi4A7gd2A+90J7KiKIqShtVKUWPMzQRGO37smthvA7y7XtFyuXaIzxoUldUNKqsbVNb6GZqcje1YpCiKotSLLv1XFEXpCGrQFUVROoJ3Br0orkzTiMgPRORuEblTRGbCY0eIyFdE5Pvh/4c3JNv1IvK4iHw7dixTNhF5f5jP94nIuhbI+iERmQ3z9k4RuaBpWUVkpYh8VUTuFZF7ROQ3wuOty9ccWduYrweLyDdE5K5Q1t8Lj7cxX7NkHX6+GmO8+Ucwy+bfgOOAg4C7gJOalish4w+AIxPH/hewIfy9AfjDhmR7JXAa8O0i2Qji9twFLAXWhPnea1jWDwG/nXJtY7ICRwGnhb8PBb4XytO6fM2RtY35KsAh4e8+8HXgrJbma5asQ89X31roNnFl2shFwF+Gv/8SWN+EEMaYrwE/ShzOku0i4AZjzHPGmAcJpqSeMQw5IVPWLBqT1RjzmDHmm+Hvp4F7CcJetC5fc2TNoklZjTHmmfDPfvjP0M58zZI1C2ey+mbQrWLGNIwB/klEtonIpeGxF5pwoVX4/080Jt2BZMnW1rx+Txii+fpYd7sVsorIauBUghZaq/M1ISu0MF9FpCcidwKPA18xxrQ2XzNkhSHnq28G3SpmTMOsNcacRhBS+N0i8sqmBapIG/P6k8CLgJcDjwF/HB5vXFYROQTYBLzXGPMfeZemHGta1lbmqzFm3hjzcoJQImeIyE/lXN5GWYeer74Z9NIxY4aNMebR8P/HgS8SdKV+KGE44fD/x5uT8ACyZGtdXhtjfhgWnP3An/N8N7VRWUWkT2Ag/9oY84XwcCvzNU3WtuZrhDFmF3ALcB4tzdeIuKxN5KtvBt0mrkxjiMhyETk0+g2cC3ybQMZfDC/7ReBLzUiYSpZsNwJvFpGlIrKGYPOSbzQg3wKyOMb+6wnyFhqUVUQE+D/AvcaY/x071bp8zZK1pfk6KSIT4e9x4DXAd2lnvqbK2ki+DmMUuM5/BDFjvkcwMvy7TcuTkO04gtHru4B7IvmAFwD/Anw//P+IhuT7HEHXb46glfBLebIBvxvm833A+S2Q9a+Au4FvhYXiqKZlBX6WoLv8LeDO8N8FbczXHFnbmK8vBe4IZfo28IHweBvzNUvWoeerLv1XFEXpCL65XBRFUZQM1KAriqJ0BDXoiqIoHUENuqIoSkdQg64oitIR1KAriqJ0BDXoiqIoHeH/A3eLnNOr9tM6AAAAAElFTkSuQmCC", "text/plain": [ "
" ] @@ -810,12 +831,12 @@ "source": [ "%matplotlib inline\n", "plt.title(\"Parameter 1 of CP vs. phase\")\n", - "plt.scatter(phi_deg, param_1)" + "plt.scatter(phi_deg[::step], param_1)" ] }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 42, "metadata": { "collapsed": false, "pycharm": { @@ -826,16 +847,16 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 26, + "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] @@ -848,12 +869,12 @@ ], "source": [ "plt.title(\"Parameter 1 of CP vs. orientation\")\n", - "plt.scatter(theta_deg, param_1)" + "plt.scatter(theta_deg[::step], param_1)" ] }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 44, "metadata": { "collapsed": false, "pycharm": { @@ -862,12 +883,12 @@ }, "outputs": [], "source": [ - "data_without_features = decoding.remove_feature(data_pca.to_numpy(), pd.DataFrame(param_1))" + "data_without_features = decoding.remove_feature(data_pca[::step].to_numpy(), pd.DataFrame(param_1))" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 45, "metadata": { "collapsed": false, "pycharm": { @@ -878,7 +899,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -892,18 +913,80 @@ "name": "stdout", "output_type": "stream", "text": [ - "Decoding... " + "Decoding... done\n" ] } ], "source": [ "param_2 = decoding.cohomological_parameterization(\n", - " pd.DataFrame(data_without_features[:limit])).to_numpy()" + " pd.DataFrame(data_without_features)).to_numpy()" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.title(\"Parameter 2 of CP vs. orientation\")\n", + "plt.scatter(theta_deg[::step], param_2)" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.title(\"Parameter 2 of CP vs. phase\")\n", + "plt.scatter(phi_deg[::step], param_2)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, "metadata": { "collapsed": false, "pycharm": { @@ -911,7 +994,20 @@ "name": "#%%\n" } }, - "outputs": [], + "outputs": [ + { + "ename": "IndexError", + "evalue": "index 288 is out of bounds for axis 0 with size 260", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mIndexError\u001b[0m Traceback (most recent call last)", + "\u001b[1;32m/home/ennucore/dev/amgen/PopulationSampling.ipynb Cell 46\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0m plt\u001b[39m.\u001b[39mscatter([phi_deg[i] \u001b[39m*\u001b[39m \u001b[39m180\u001b[39m \u001b[39m/\u001b[39m np\u001b[39m.\u001b[39mpi \u001b[39mfor\u001b[39;00m i \u001b[39min\u001b[39;00m phi_reorder], [param_2[i] \u001b[39mfor\u001b[39;00m i \u001b[39min\u001b[39;00m phi_reorder])\n", + "\u001b[1;32m/home/ennucore/dev/amgen/PopulationSampling.ipynb Cell 46\u001b[0m in \u001b[0;36m\u001b[0;34m(.0)\u001b[0m\n\u001b[0;32m----> 1\u001b[0m plt\u001b[39m.\u001b[39mscatter([phi_deg[i] \u001b[39m*\u001b[39m \u001b[39m180\u001b[39m \u001b[39m/\u001b[39m np\u001b[39m.\u001b[39mpi \u001b[39mfor\u001b[39;00m i \u001b[39min\u001b[39;00m phi_reorder], [param_2[i] \u001b[39mfor\u001b[39;00m i \u001b[39min\u001b[39;00m phi_reorder])\n", + "\u001b[0;31mIndexError\u001b[0m: index 288 is out of bounds for axis 0 with size 260" + ] + } + ], "source": [ "plt.scatter([phi_deg[i] * 180 / np.pi for i in phi_reorder], [param_2[i] for i in phi_reorder])" ] diff --git a/sym_model.py b/sym_model.py index 42529da..9120880 100644 --- a/sym_model.py +++ b/sym_model.py @@ -1,6 +1,7 @@ from __future__ import annotations import typing from dataclasses import dataclass, field +from functools import partial import matplotlib as mpl import sympy as sp @@ -9,29 +10,41 @@ import numpy as np from utils import get_orientation_phase_grid sp.init_printing() -k, x0, y0, phi, theta, sigma_x, sigma_y, sigma, x, y = sp.symbols(r'k x_0 y_0 \phi \theta \sigma_x \sigma_y \sigma x y') +k, x0, y0, phi_rf, theta_rf, sigma_x, sigma_y, sigma, x, y, theta_grating, phi_grating = sp.symbols(r'k x_0 y_0 \phi_{rf} \theta_{rf} \sigma_x \sigma_y \sigma x y \theta_{grating} \phi_{grating}') defaults = { k: 6, sigma: 0.2, - phi: sp.pi / 2, - theta: 0, + phi_rf: sp.pi / 2, + phi_grating: sp.pi / 2, + theta_grating: 0, sigma: 1, x0: 0, y0: 0 } sigma_x = sigma_y = sigma -grating_f = sp.cos(k * (x - x0) * sp.cos(theta) + k * (y - y0) * sp.sin(theta) + phi) +grating_f = sp.cos(k * (x - x0) * sp.cos(theta_grating) + k * (y - y0) * sp.sin(theta_grating) + phi_grating) receptive_field = 1 / (2 * sp.pi * sigma * sigma) * sp.exp(-(x ** 2 + y ** 2) / (2 * sigma ** 2)) * sp.cos( - k * x * sp.cos(theta) + k * y * sp.sin(theta) + phi) -receptive_field = receptive_field.subs(theta, 0).subs(phi, 0) + k * x * sp.cos(theta_rf) + k * y * sp.sin(theta_rf) + phi_rf) # p = sp.cosh(k ** 2 * sigma ** 2 * sp.cos(theta)) * sp.exp(k ** 2 * (1 + sp.cos(theta) ** 2) / 2) * sp.cos( # phi - k * (x0 * sp.cos(theta) + y0 * sp.sin(theta))) -p = sp.cosh(k ** 2 * sigma ** 2 * sp.cos(theta) * 4) * sp.exp(-4 * k ** 2 * sigma ** 2) * sp.cos( - phi - k * (x0 * sp.cos(theta) + y0 * sp.sin(theta))) +# p = sp.cosh(k ** 2 * sigma ** 2 * sp.cos(theta) * 4) * sp.exp(-4 * k ** 2 * sigma ** 2) * sp.cos( +# phi - k * (x0 * sp.cos(theta) + y0 * sp.sin(theta))) + +p = (1 / 2) * sp.exp(-k*k*sigma*sigma) * ( + sp.exp(-k*k*sigma*sigma*sp.sin(theta_grating + theta_rf)) * sp.cos(phi_grating + phi_rf + 2 * k / (sigma * sigma) * ( + x0 * sp.cos(theta_rf) + y0 * sp.sin(theta_grating) + + x0 * sp.sin(theta_rf) + y0 * sp.cos(theta_grating) + )) + + sp.exp( k*k*sigma*sigma*sp.sin(theta_grating + theta_rf)) * sp.cos(phi_grating - phi_rf + 2 * k / (sigma * sigma) * ( + -x0 * sp.cos(theta_rf) - y0 * sp.sin(theta_rf) + + x0 * sp.sin(theta_rf) + y0 * sp.cos(theta_grating) +))) sigma_split = np.arange(0.1, 1, 0.05) k_split = np.arange(0.2, 6, 0.2) xy_split = np.arange(-1, 1, 0.05) +phi_split = np.arange(0, 2 * np.pi, np.pi / 100) +theta_split = np.arange(0, np.pi, np.pi / 100) def sigmoid(x): @@ -40,26 +53,34 @@ def sigmoid(x): @dataclass class Cell: + phi_val: float + theta_val: float sigma_val: float = defaults[sigma] x0_val: float = defaults[x0] y0_val: float = defaults[y0] k_val: float = defaults[k] @classmethod - def random(cls, sigma_dist: np.ndarray = np.ones(len(sigma_split)), + def random(cls, + phi_dist: np.ndarray = np.ones(len(phi_split)), + theta_dist: np.ndarray = np.ones(len(theta_split)), + sigma_dist: np.ndarray = np.ones(len(sigma_split)), k_val: float = defaults[k], xy_dist: np.ndarray = np.ones(len(xy_split))): return cls( - sigma_val=np.random.choice(sigma_split, p=sigma_dist / np.sum(sigma_dist)), - x0_val=np.random.choice(xy_split, p=xy_dist / np.sum(xy_dist)), - y0_val=np.random.choice(xy_split, p=xy_dist / np.sum(xy_dist)), - k_val=k_val + sigma_val=1, # np.random.choice(sigma_split, p=sigma_dist / np.sum(sigma_dist)), + phi_val=np.random.choice(phi_split, p=phi_dist / np.sum(phi_dist)), + theta_val=np.random.choice(theta_split, p=theta_dist / np.sum(theta_dist)), + x0_val=0, # np.random.choice(xy_split, p=xy_dist / np.sum(xy_dist)), + y0_val=0, # np.random.choice(xy_split, p=xy_dist / np.sum(xy_dist)), + k_val=k_val, ) @property def sympy_func(self) -> sp.Expr: - return receptive_field.subs(sigma, self.sigma_val).subs(x0, self.x0_val).subs(y0, self.y0_val).subs(k, - self.k_val) + return receptive_field\ + .subs(sigma, self.sigma_val).subs(x0, self.x0_val).subs(y0, self.y0_val)\ + .subs(k, self.k_val).subs(phi_rf, self.phi_val).subs(theta_rf, self.theta_val) def get_tuning_function(self) -> typing.Callable[[np.ndarray, np.ndarray], np.ndarray]: """ @@ -67,8 +88,10 @@ class Cell: :return: a function (theta, phi) -> value """ return sp.lambdify( - (theta, phi), - p.subs(sigma, self.sigma_val).subs(x0, self.x0_val).subs(y0, self.y0_val).subs(k, self.k_val), + (theta_grating, phi_grating), + p.subs(sigma, self.sigma_val).subs(x0, self.x0_val)\ + .subs(y0, self.y0_val).subs(k, self.k_val)\ + .subs(phi_rf, self.phi_val).subs(theta_rf, self.theta_val), 'numpy') def get_value(self, theta_deg: float, phi_deg: float) -> float: @@ -81,24 +104,43 @@ class Cell: @dataclass class Grating: + phi_val: float = defaults[phi_grating] + theta_val: float = defaults[theta_grating] k_val: float = defaults[k] - phi_val: float = defaults[phi] - theta_val: float = defaults[theta] @property def sympy_func(self) -> sp.Expr: - return grating_f.subs(k, self.k_val).subs(phi, self.phi_val).subs(theta, self.theta_val) + return grating_f.subs(k, self.k_val).subs(phi_grating, self.phi_val).subs(theta_grating, self.theta_val) @dataclass class Population: cells: typing.List[Cell] = field(default_factory=list) + @property + def response_func(self) -> typing.Callable[[float, float], np.ndarray]: + """ + Use sp.lambdify and the expression to generate the necessary function. + :return: a function (phi, theta) -> responses + """ + return partial( + sp.lambdify( + (x0, y0, k, sigma, phi_rf, theta_rf, phi_grating, theta_grating, ), + p, 'numpy'), + 0, 0, np.array([cell.k_val for cell in self.cells]).reshape((-1, 1)), + np.array([cell.sigma_val for cell in self.cells]).reshape((-1, 1)), + np.array([cell.phi_val for cell in self.cells]).reshape((-1, 1)), + np.array([cell.theta_val for cell in self.cells]).reshape((-1, 1)), + ) + @classmethod - def random(cls, n: int, sigma_dist: np.ndarray = np.ones(len(sigma_split)), + def random(cls, n: int, + phi_dist: np.ndarray = np.ones(len(phi_split)), + theta_dist: np.ndarray = np.ones(len(theta_split)), + sigma_dist: np.ndarray = np.ones(len(sigma_split)), k_val: float = defaults[k], xy_dist: np.ndarray = np.ones(len(xy_split))): - return cls(cells=[Cell.random(sigma_dist, k_val, xy_dist) for _ in range(n)]) + return cls(cells=[Cell.random(phi_dist, theta_dist, sigma_dist, k_val, xy_dist) for _ in range(n)]) def get_response(self, phi_deg: float, theta_deg: float, coef: float = 4, use_sigmoid: bool = True) -> np.ndarray: return (sigmoid if use_sigmoid else (lambda x: x))(np.array([cell.get_value(theta_deg, phi_deg) for cell in self.cells]) * coef)