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@Gilles86
Last active September 18, 2022 09:15
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "33d16de8",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from scipy import interpolate, integrate\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "9f3dd741",
"metadata": {},
"outputs": [],
"source": [
"prior = lambda x: (2-np.abs(np.sin(2*x)))/ ((np.pi-1)) / 2.\n",
"\n",
"def cdf(x):\n",
" cdf = ((np.cos(x)**2) * np.sign(np.sin(2*x)) + 2*x) / (2*(np.pi-1.)) - (1 / (2*(np.pi-1.)))\n",
" \n",
" return np.clip(cdf, 0, 1)\n",
"\n",
"\n",
"to_sensory_ = cdf\n",
"to_sensory_dx_ = prior\n",
"\n",
"# Create interpolation grid to go back to stimulus space\n",
"angle = np.linspace(0.0, np.pi, 100)\n",
"\n",
"cdf_angle = cdf(angle)\n",
"\n",
"to_stimulus_ = interpolate.interp1d(cdf_angle, angle)\n",
"\n",
"to_stimulus_dx_ = interpolate.interp1d((cdf_angle[:-1] + cdf_angle[1:])/2., \n",
" (angle[1:] - angle[:-1])/(cdf_angle[1:] - cdf_angle[:-1]), \n",
" fill_value='extrapolate',\n",
" bounds_error=False)\n",
"\n",
"def to_sensory(x_stimulus, p_stimulus):\n",
" x_sensory = to_sensory_(x_stimulus)\n",
" \n",
" p_sensory = p_stimulus * 1./to_sensory_dx_(x_stimulus)\n",
" \n",
" return x_sensory, p_sensory\n",
"\n",
"def to_stimulus(x_sensory, p_sensory):\n",
" x_stimulus = to_stimulus_(x_sensory)\n",
" \n",
" p_stimulus = p_sensory * 1./to_stimulus_dx_(x_sensory)\n",
" \n",
" return x_stimulus, p_stimulus\n",
"\n",
"# def get_expected_value(x_stimulus, p_stimulus):\n",
"# if np.diff(x_stimulus) == x_stimulus[1] - x_stimulus[0]"
]
},
{
"cell_type": "markdown",
"id": "26133c1c",
"metadata": {},
"source": [
"# Go from stimulus space to sensory space\n",
"The original stimulus prior should become flat in sensory space"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "5a706763",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7ff2fe1963a0>]"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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f3UiSVsHQS1LjDL0kNc7QS1LjDL0kNc7QS1LjDL0kNe5/AWEWuhzAHJ2BAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x_stimulus = np.linspace(0, np.pi)\n",
"\n",
"x_sensory, p_sensory = to_sensory(x_stimulus, prior(x_stimulus))\n",
"plt.plot(x_sensory, p_sensory)\n",
"\n",
"# plt.plot(x_stimulus, prior(x_stimulus))"
]
},
{
"cell_type": "markdown",
"id": "fac859fa",
"metadata": {},
"source": [
"# Go from sensory space to stimulus space\n",
"The flat sensory prior should become the stimulus prior in stimlus space"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "9c4417c7",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7ff2fe2a61f0>]"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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CpPR629jALzQym0/q9Fy+UaszjQ64BUI60O8vTvReG3MToSHue6Nmp+o9bWOTjKFf1i2b22KrXmm9DQadBmsz46UO5VM40XstiozAyvR4PuJSqXGnG+USto0lImzOM6G03sbtNlTqVL0dG7ITYdDJr/TLiX6SLXkmXGjpxdCYU+pQWIBdaPG0jd2SL920ty15ZvRwuw1Vsg2O4WrnAEry5Ve2ATjR36AkzwynW6C8idf5VJsTtVZoKLTz56faWuD5I3OyjsuDauNbc0Bu8+d9ONFPsj4rAXotr/OpRifqbFidEY9FkdJdlp68KBIFSbE4XsuJXm1K6+0wGnS4ZfEiqUOZFif6SaL0WqzN5Dq92vSPTuDj1j5slbBs47Ml34zyJgdGJ6Z2C2FKdqrejk25idBp5ZlS5RmVhEryzLjU3oe+4QmpQ2EBUtbggMstJK3P+2zNN2N0wo1zzT1Sh8ICpL13BI22IUmuz/AXJ/opSvJNEAI43chH9Wpxss6GqAitLKa9bcpNhFZDXKdXEV+pV47z53040U+xOj0eURFartOryPFaKzbmyGPamzEyAmsy4nGijt9falFab0dijB5Lk41ShzIjTvRT6HUabMhJ5L43KtHRN4J66xC2FcjntHprvhmVrb1cHlQBIQRO1duwOdcEjSb46xvMFyf6aZTkmVDTNYjugVGpQ2ELdNJ75CyH+rzP1gIz3AK8KL0KNNmH0d43Krv+81Nxop+Gr9ZWyqfXineyzgZzrLxOq9dkxCNGr8WJutCtpMaCwzfWIuf6PMCJflorFschITqC5zsrnBACJ+psKMkzy+q0OkKrwaZc0/WzDaZcx2utSIuPQo45RupQbooT/TS0GkJJvhkn6qzcP1zBarsHYR0Yk8X8+am25JvRaBtCaw8vL6hUTpcbpfV2bCswh2T94YXgRD+D7QVmdPWPobZ7UOpQ2Dz5zsi2yGgg1sc3OMzlQeX6uNWzvsG2gtCucT0fnOhnsNW7847VcB1VqU7W2ZBrjkFaCJcN9FdBUiwsRgNO8Hx6xTpeawURsEWmjcwm40Q/g7T4KORaYviDqFATLjdON9hlNdtmMiLC1nwzTtZx22KlOlFrw6q0OMRH66UOZVac6G9ie4EFpxvsGHNyXxKlkUNb4tlsyTfDPjSO6q4BqUNhc9Q/OoHzLb2KKNsAnOhvyteX5GwT9yVRmhO1Nk9b4lz5nlb7Tvm5HYLynKq3w+UW11tPyx0n+psozjNBpyEc5w+i4pyos2FlejzioqVrSzyb1Lgo5FlieBqvAp2otSFar8W6zASpQ/ELJ/qbiDXosC4zAcdreUBWSQZGJ3ChpRfbZFy28dlWYMGZRgeXBxXmeK0Vxbkm6HXKSKHKiFJC2wrMuNzeD/vgmNShMD/5TqvlXJ/32ZJvxsiEC2evcXlQKVocw2iyD8uqf9JsONHPYtsSC4QATnI3S8U4VmtFjF6L9VnyP63e7C0PHqvh8o1S+EptShmIBTjRz2plWhzioiJwnOfTK4IQAkdrrNicZ1bEaXWsQYei7AQc5feXYhyvtSI1LhJ5Fnm3PZhM/p8EiWk1hC35Jpyos3E7BAVosg+jxTGCW5co57R6+xILqjr6uVuqArjcAifrbIpoezAZJ3o/bM23oKNvFPVWbocgd74rmbcvUc5p9XZvCeA4l29k72JrL/pHndevnFcKTvR+8A26cB1V/o7WWJFtikaWSTmn1ctTF8Eca+DyjQIcr7WBCLJslHcznOj9kJEYjRwzt0OQuzGnC6fq7Yo6mgcAjYawvcCME9wOQfZO1Npwy+I4JMbIv+3BZJzo/bQ134zTDXaMO91Sh8JmcLapByMTruulECXZvsQCx9A4LrX3SR0Km8HgmBPnmnsUczXsZJzo/bStwIzhcRfONfN8Z7k6WmNFhJZkv6zbdDyDe8DRai7fyNXpejucbqGo+fM+nOj9VJxnglZD3LZYxo7WWFGUlYgYg07qUObMFGvALYvjcIyvwpat47VWREUo4/qMqTjR+2lRZATWZcbzB1GmuvpHcbVzQHH1+cm2LzHjXHMv+kcnpA6FTeNojRWbchNh0GmlDmXO/Er0RHQXEVUTUR0RPTPN/XuI6CIRXSCiCiLaOum+JiKq9N0XyOBDbcfSJFxq60d3P893lptPplUq77TaZ3uBBS63QCkP+stOg3UQTfZh3FaYJHUo8zJroiciLYDnAdwNYDmAR4ho+ZTNDgFYLYRYA+BxAD+dcv9OIcQaIUTRwkOWzs6lnp18hOuosnOs1gaL0YDlqYukDmXe1mUlINagw1Gexis7h72feV8OUBp/jug3AqgTQjQIIcYBvAZgz+QNhBCD4pPLRmMAqHKO2LJUI1IWReJwdbfUobBJXG6BE7VWxV2tOFWEVoOSPBOO1fCi9HJzpLob+UmxyEiMljqUefEn0acBaJn0fav3thsQ0f1EdBXAPniO6n0EgINEdJaInlhIsFIjIuwstOB4rQ0TLp5mKReVbX3oGZ7ArQquz/tsX2JBW+8I6q1DUofCvIbGnChrcGDnUuW+v/xJ9NMdIn3qcEMIsVcIUQjgPgA/nHTXFiHEOnhKP98mou3TPgnRE976foXVKt/SyI6lSRgcc6KCV52SjWM1VkVerTgd3x8rnt0lH6X1doy73Iot2wD+JfpWABmTvk8H0D7TxkKIYwDyiMjs/b7d+383gL3wlIKme9zLQogiIUSRxSLfv5xb8s2I0BKXb2TkWI0VK9PiYIo1SB3KgmUkRiPXHMOzu2Tko6vdiNFrUZSdKHUo8+ZPoi8HUEBEOUSkB/AwgHcnb0BE+eQtjhLROgB6AHYiiiEio/f2GAC7AVwK5AsItViDDptyTDh8lRO9HPSNeBZpVuLVsDPZvsSzKP3oBK86JTUhBI5Ud2NrgTLaXs9k1siFEE4ATwM4AKAKwOtCiMtE9CQRPend7AEAl4joAjwzdB7yDs4mAzhBRB8DOANgnxDid0F4HSG1Y6kFtd2DaHEMSx1K2Cuts8HlFrhVwfXTqW5dYsHohBvlTQ6pQwl71V0D6OgbVey0Sh+/LiEUQuwHsH/KbS9N+vo5AM9N87gGAKsXGKPs7CxMwt/sq8KRGiu+UpwldThh7VitFUaDDmsy4qUOJWA25SZCr9XgaLVVUasYqdHhq54S2g4F1+cBvjJ2XnLNMchMjMYRLt9ISgiBj652e8dN1PNWjtbrsCk3ER/xOJDkDld3Y3nqIiQvipQ6lAVRz6cjhIgItxUm4WS9jeuoErrU1o+u/jHsWqbso63p3FaYhAbrEBptPM1SKn3DEzh7rQc7C5V/VsWJfp52LPXUUU838KLhUvmwqgtEnlKa2ty+LBkAcKiqS+JIwtfxOitcbqHoaZU+nOjnqTjXhMgIDbdDkNChq11Yl5kAswqmVU6VkRiNpclGfMiJXjKHr1oRFxWhivEfTvTzFBmhRUmeGR9d7ebL1SXQ2TeKS239qizb+OxaloTyph70DXM3y1BzuwWO1nTj1iUW6FQw/qP8VyChnYVJaHYMcx1VAoeueo50fSUONdq1LBkut8CRGh6UDbVL7X2wDY6roj4PcKJfkB3ey9U/4tk3IXeoqhsZiVEoSIqVOpSgWZMRD1OMHoeq+P0Vah9d7QYRVHMhHif6BchIjEZBUizX6UNsZNyFk3U27CpMVnS3ytloNYSdhUk4Ut3NTfRC7HC1FavT41XRVgPgRL9gOwuTUNZox9CYU+pQwsaJOhvGnG5Vl218bl+WhP5RbqIXSrbBMVxs7VXFbBsfTvQLtGOpBRMugRO8KlDIHKrqgtGgw8Yc5TaZ8te2Agv0Wg1Pswyho9VWCAHFtz2YjBP9Am3IToQxUocPrvAHMRTcboFDV7uxfYlF0U2m/BVj0KE4z4RDPA4UMh9c6UKS0YAVi5W7WtlU6v+kBFmEVoNdhUk4VNUFJ9dRg66yrQ/WAXVeDTuT25clodE2hHrroNShqN7ohAtHa6y4Y3kyNBr1jP9wog+AO1ekoGd4AuVcRw26Q1Vd0JBy1+6cD18Jgcs3wXe81oaRCRfuXJEidSgBxYk+AG5daoFBp8GBy51Sh6J6H1Z1Y31WAhJi9FKHEjLpCdEoTDHiQ55mGXQHLnfCGKlDca5J6lACihN9AETrddhWYMEHV7r4Ktkgau8dwZWOfuwKg9k2U92+LBlnr/Wgd3hc6lBUy+ly41BVF3YVJqlu/Eddr0ZCd65IRlvvCC619Usdimr5BiRvD6P6vM+uZUmeq2T5mo2gOdPkQM/whOrKNgAn+oC5fVkytBri8k0QHarqQpYpGnkW9V4NO5PV6fEwxxq4yVkQHbzcBYNOo6rVynw40QdIQoweG7MTOdEHyfC4E6X1dtVfDTsTjYZwW6EFR2usfJVsEAghcPByJ7YVWBCt92vhPUXhRB9Au1cko7Z7EA08DS7gjtfaMO50h2XZxmfXsmQMjDpR3shryQZaZVsf2vtGcecKdY7/cKIPoN3e2t6By3x6HWgfXumCMVKHDWFwNexMthWYoddpcJAvzgu4A5c7odWQattqcKIPoLT4KKxMi+PyTYBNuNw4eMUzG0JNa8POVbReh+0FFhy43Am3m2d3BdKBy13YmJ2o2mm74fupCZI7VyTjQksvuvpHpQ5FNU7W2dA3MoF7Vy2WOhTJ3bsqBR19ozjfwhfnBUq9dRB13YOqLdsAnOgDzjc1i0+vA2d/ZQeMBh22FZilDkVyty9Lhl6nwb6LfNYYKAe9pdbdKpxW6cOJPsDyk2KRa47BQS7fBMS4040Dl7twx/JkREZopQ5HcsbICNy6xIL9lR1cvgmQA5c7sSo9Dovjo6QOJWg40QcYEWH3ihScqrfzWp8BcLLeU7a5Z2Wq1KHIxr0rU9HZP4pzzVy+WajOvlFcaOnF7uXqLdsAnOiD4s4VyXC6BT6q5vLNQu2/6C3bLOGyjc+uZZ5L9PdVdkgdiuJ9cMVz5q3Gq2En40QfBKvT45G8yIADlzjRL4SnbNOJO1Ykw6Djso2PMTICO7h8ExAHLnch1xyDfBWvPQxwog8KjYZwx/JkHK2xYnTCJXU4inWyzob+USc+s4rLNlPduyoVXf1jOMvlm3nrG57A6QY7dq9IUf3V1pzog+TOFSkYmXDhWA03oZqvfZUdMEbqsDVffb1HFmrX9dk3XL6Zr0NXu+B0C1VPq/ThRB8kxbkmxEVF4P1LPPtmPnxlm93LU1TXMjYQYg067FzK5ZuFeP9SJ5IXGbA6PV7qUIKOP0FBEqHV4O5bUnDwcieGx51Sh6M4J+qsGOCyzU3du2oxugfGUHGNyzdz1Ts8jiPV3fi9VYtVtWTgTDjRB9GeNWkYGnfxwuHzsO9iJxZF6rAln2fbzGRXYRIMOg328+ybOdtX2YEJl8B9a9OkDiUkONEH0aacRKTGReKdC+1Sh6IoY04XDl7pxO4VXLa5mRiDDjuXJmF/ZQdcXL6Zk3fOtyM/KRYrFi+SOpSQ4E9REGk0hM+uWYyjNVbYB8ekDkcxTtTaMDDqxL1ctpnVvatSPeWbJm5d7K/WnmGcaXLgvjWLVT/bxsevRE9EdxFRNRHVEdEz09y/h4guEtEFIqogoq3+Plbt7l+bBpdb8MUtc7DvYgfioiKwJY/LNrO5rTAJkRF88dRc+M6w96wJj7IN4EeiJyItgOcB3A1gOYBHiGj5lM0OAVgthFgD4HEAP53DY1WtMGURClOMePt8m9ShKMKY0zOmsXt5Mpdt/OAr37x/qZPLN34QQuDt820oykpARmK01OGEjD+fpI0A6oQQDUKIcQCvAdgzeQMhxKAQwvcuiwEg/H1sOLhvbRrONffimn1I6lBk73iNDQNjXLaZi3tXpcI6MIZyLt/M6kpHP2q7B8NmENbHn0SfBqBl0vet3ttuQET3E9FVAPvgOar3+7Hexz/hLftUWK3qusjos6sXgwg8KOuHfZXesg3PtvHb9fINXzw1q3cutEOnIdwbZk3y/En0041WfOocUQixVwhRCOA+AD+cy2O9j39ZCFEkhCiyWNR1JeTi+ChszE7E2+fb8MmJD5tqdMKFD6904c4VyWG9ktRcRet1uK3QU75x8sLhM3K5Bd690I4dSy2qXUlqJv58mloBZEz6Ph3AjIemQohjAPKIyDzXx6rZ/WvT0GAbQmVbn9ShyNaBy50YGHPis6vD67Q6ED67Og22wTEcq1XX2XAglTXY0dk/GnZlG8C/RF8OoICIcohID+BhAO9O3oCI8sk7T4mI1gHQA7D789hwcffKVOi1GuzlQdkZvV7RgvSEKJTkmaQORXFuK0yCKUaPX5e3zL5xmHr7QhtiDTrVLgB+M7MmeiGEE8DTAA4AqALwuhDiMhE9SURPejd7AMAlIroAzyybh4THtI8NwuuQvbioCNxWmITfftzBp9fTaHEM42SdHV8oygiLS9IDTa/T4IH16ThU1Q3rAF+zMdXohAvvV3birltSwnKlMr8KoUKI/UKIJUKIPCHE33pve0kI8ZL36+eEECuEEGuEEJuFECdu9thwdd/axbANjuFkvV3qUGTnNxUtIAIeXJ8udSiK9YWiDDjdAnvPt0odiux8dLUbA2NO3BdGc+cn4xGvENqxNAnGSB3e4fLNDVxugd+cbcX2Aouq1+0MtvykWKzPSsCvy1t40H+Kt8+3IclowOYwLQtyog+hyAgt7l2ZigPc0fIGx2ut6OgbxUMbMmbfmN3UQ0UZqLcO8Xqyk/QOj+NwdTc+u3oxtGFaFuREH2Lc0fLTXq9oQWKMPiwHyQLt3lWpiNFreVB2kv2VnWHVqXI6nOhDjDta3sg+OIYPrnTh/rVp3PIgAGIMOnxm1WK8d7EDg2N81gh4ZtuEU6fK6fAnK8Qmd7S0cUdL7D3fhgmX4LJNAH1hQwaGx11472M+mGjtGcaZxvDqVDkdTvQSeGBdumcAsiK8Z0cIIfDr8hasyYjHkmSj1OGoxrrMeOQnxeLXFVy+ee2MZzZXOHWqnA4negksSTaiODcR/3P6WljPqT/f0ova7kE+mg8wIsJDRRk439yL2q4BqcORzOiEC78604xdhclh1alyOpzoJfLVkhy09Y7gw6puqUORzOvlLYiK0PK6sEFw/7o06DQU1oOy+y52wD40jq9tyZY6FMlxopfI7cuSkBYfhVdLm6QORRJDY0789uN2fGZVKoyREVKHozrmWAPuWJ6Mt863YdwZfmeNQgi8eqoJBUmx3FIDnOglo9Nq8OXiLJxqsKO6M/xOr/dVdmBo3MVlmyD6woYMOIbGcagq/Kbynm/pxcXWPjxakh3Wg7A+nOgl9PCGDBh0Grx6qknqUELu9fIW5FpisD4rQepQVGt7gQWpcZFhOSj7amkTjJE6fC6M585PxoleQgkxeuxZsxh7z7Whb3hC6nBCpq57EBXXevBQUQYfbQWRVkN4cH06jtVY0d47InU4IdPdP4r9lR34/PoMxBh0UocjC5zoJfZYSTZGJlz4zdnwOep6vaIFOg3hc+u4gVmwfX59BtwCeONs+Ezl/UVZM5xugUc3Z0kdimxwopfYisVx2JCdgJ+fuhYWizuPTrjw1rlW3FaYBIvRIHU4qpdpikZJngm/Lm8Ji6m84043fnmmGTuWWJBtjpE6HNngRC8Dj5Vko9kxjCPV6p9q+cbZVtgGx/FYSbbUoYSNx0qy0dY7gn2V6l9T9v1LHbAOjPH7awpO9DJw54oUpCyKxCsqn2rpdLnx0tF6rMmI5ylvIXTHsmQsSY7FC4fr4Vb5WeMrpU3IMcdge4G61p1eKE70MhCh1eBLmzJxvNaGeuug1OEEzW8vtqO1ZwRP78znQdgQ0mgI39qRj+quARy6qt6zxoutvTjf3ItHN2fxKmVTcKKXiUc2ZUKv1eDnKj2qd7sFXjhcj8IUI24rTJI6nLDzmVWpyEiMwr8frlPtoiSvlDYhRq/lVcqmwYleJsyxBnxmVSreONuKgVH1TbU8eKULtd2DeGpHHh9tSUCn1eDJW/PwcUsvSlW4lKVtcAzvfdyBB9an85XW0+BELyOPlWRjaNyFN1U2FU4IgReO1CHLFI17V3JfG6k8sC4dSUYDnj9cJ3UoAffamWaMu9x4dHO21KHIEid6GVmdEY+1mfH4+alrqho0O15rw8XWPjx1ax50Wn7LSSUyQosntueitN6uqqUGJ1xu/M/pZmwrMCM/KVbqcGSJP3Uy89WSbDTYhnC0xip1KAHz/OE6pCyKxP3r+HJ0qT2yMRPx0RF4QUVH9e9f6kRn/yi+ylMqZ8SJXmbuvsUzaPb/D1Sr4gKqiiYHyhod+Ob2XBh0WqnDCXsxBh2+VpKDD6u6UdXRL3U4CzbudOOfDlZjSXIsdizlQf6ZcKKXGb1Ogz+7sxBVHf3Ye75N6nAW7PnDdUiM0eORjdylUi6+WpKNGL0WLxyplzqUBftl2TU02Yfx/buXQcuD/DPiRC9Dv7cqFavT4/CPB6sxOuGSOpx5u9zeh8PVVjy+JRvRem4uJRdx0RH48uYs7LvYjkbbkNThzFv/6AT+9VAtSvJM2LGUL5C6GU70MkREePaeZejoG8XPTjRKHc68vXCkHkaDDl/hmRCy8/WtOdBpNfiPo8o9qn/xSD16hifw7D3L+AK8WXCil6lNuSbcviwZLx6ph21wTOpw5qzBOoj9lR34yuYsxEXxvGa5STJG4uENGXjzXCs6+pTXwritdwQ/O9GI+9em4Za0OKnDkT1O9DL2zN2FGJlw4ceHaqUOZc5ePFIPvVaDx7fmSB0Km8ET23MhBPDysQapQ5mzfzxQDQD47u4lEkeiDJzoZSw/KRYPb8jAL8ua0aCgHjhtvSPYe74Nj2zMhDmWWxHLVXpCNPasScOvzjQr6qzxUlsf9l5ow9e2ZCM9IVrqcBSBE73M/dHtS2DQafDc765KHYpfhBD4wW8vQ6MhfHN7rtThsFk8tSMPEy6Bv39fOe+vv3u/CvFREfjWjnypw1EMTvQyZzEa8Pu35uHA5S6UNzmkDmdW+ys7ceByF/749iVIi4+SOhw2i/ykWDx1ax7eONuqiPUQjtRYcbLOju/cVsBjP3PAiV4BvrEtB0lGA/7f/ipZdx50DI3jL9+5hJVpcfjmNq7NK8V3duUjPykWz75VKeuGei63wN/vv4osUzS+XMzLBM4FJ3oFiNbr8N3dS3C+uRf7KzulDmdGf/3by+gfncCPPr+Ke9ooiEGnxY8eXIXO/lFZl3DeONuC6q4B/PmdhdDr+P01F379tojoLiKqJqI6Inpmmvu/REQXvf9KiWj1pPuaiKiSiC4QUUUggw8nD67PwNJkI5773VWMO+W39ucHV7rwzoV2fHtnPgpTFkkdDpujtZkJ+PrWHPyirBml9Tapw/mU4XEn/vFgDdZmxuOelSlSh6M4syZ6ItICeB7A3QCWA3iEiJZP2awRwK1CiFUAfgjg5Sn37xRCrBFCFAUg5rCk1RCeuacQzY5h/Pfpa1KHc4O+kQn8xd5KFKYYeYBMwf7kjqXINkXjmTcrMTzulDqcG/zkWCO6B8bwF3xx1Lz4c0S/EUCdEKJBCDEO4DUAeyZvIIQoFUL4+p6eBsBLvATBjiUWbMk34ceHatHWK5+LXP523xXYh8bxowdX8ym1gkXptXjugVVodgzjHw7USB3OdQ3WQfzHsXrcuSIZRdmJUoejSP58KtMAtEz6vtV720y+DuD9Sd8LAAeJ6CwRPTHTg4joCSKqIKIKq1U9LXoDiYjwgz23wO0W+MarFRgak/6o61iNFa9XtOKJ7blYmc5XKCrdplwTHt2chf8qbcTZa9LP8uobnsA3Xq1AZIQW/+feqYUE5i9/Ev1050nTTv0gop3wJPrvTbp5ixBiHTyln28T0fbpHiuEeFkIUSSEKLJYuEHRTPIssfi3L65FdWc//uT1C5IuUDI45sT336pEriUGf7irQLI4WGD9+V2FWBwXhT9746KkTfWcLjee/tU5tPQM46Uvr0dGIl8cNV/+JPpWAJN7zKYDaJ+6ERGtAvBTAHuEENcXpRRCtHv/7wawF55SEFuAHUuT8Bf3LseBy134pw+kO8V+7v2raO8bwY8eXIXICO41rxaxBh3+/oGVaLAO4V8lbL/xN/uqcLzWhr+57xZszOGSzUL4k+jLARQQUQ4R6QE8DODdyRsQUSaAtwB8RQhRM+n2GCIy+r4GsBvApUAFH84e35KNh4oy8O+H6/DOhdD3rT/dYMd/n76Gr5XkYH0WfwjVZluBBQ8VZeDlYw242Nob8uf/Rdk1vFLahK9vzcFDGzJD/vxqM2uiF0I4ATwN4ACAKgCvCyEuE9GTRPSkd7O/BGAC8MKUaZTJAE4Q0ccAzgDYJ4T4XcBfRRgiIvzQe6TzZ29cxIWW3pA99+CYE9978yIyE6Pxp3dyUym1evbeZTDH6vHnIS7hlNbb8FfvXMaOpRY8e8+ykD2vmpEcr7QsKioSFRU85d4fjqFxfPbfT2DM6ca7T29Balxw2w509Y/i8VfKUdXRj198oxib80xBfT4mrY+uduHxVyqwPisBL39lPUxBblJ3zT6EPc+fhDnWgLe+VYJFkdzmwF9EdHamKew8F07hEmP0+NljGzA85sQ3f14R1PnPVzv7cd/zJ9FoG8LPHtvAST4M3FaYjBe+tA6X2vrwuRdLg9pFtX90Al9/1XOA97PHijjJBxAnehVYmmLEjx9Zi8vt/fjT33wclJk4R2usePDFU3ALgdd/fzN2FvJCzOHinpWp+NUTxRgcdeJzL5biTGPgp1263AJ/8KvzaLIN4cUvrUeWKSbgzxHOONGrxK5lyfj+3YXYX9mJfwnwTIlfljXj8VfKkZ4Qhbe/vYVX9AlD6zITsPdbW5AYo8eXf1oW0AkAQgj83f4qHKm24gd7buEzxSDgRK8i39yWiwfWpePHh2rx5Z+WLXiA1u329Cl/dm8ltuab8ZsnNwd9DIDJV6YpGm89VYK1mfH4w9cu4N8O1S64m2p5kwMPvXwaPz3RiK+WZOOLm3iGTTDwYKzKTLjceLW0CS8cqYdjaBy7lyfju7uXYmmKcU4/Z3TChe/+5mPsu9iBL27KxA8+u4I7UjIAwJjThWferMTe8234/Pp0/O39K+fc+uJSWx/+4WA1jlRbYTEa8Ae35eOLm7Kg1XAfm/m62WAsJ3qVGhxz4r9ONOLlYw0YHHdiz+rF+OM7lsxa+xwZd6GmawA/eO8Kzl7rwffvLsQT23O5kRS7gRAC//xhLX58qBYleSY8e88y5CfFznrhXF33IP75gxrsq+xAfHQEnro1D49uzkaUni+4WyhO9GGsd3gcLx1twCuljXC6BL6wIQN/cFsBLEYDmuxDqO4cwNXOAdR0DqC6awBN9iEIARh0GvzzQ2twz8pUqV8Ck7E3zrbimTcvwukW0BCQbY5BYYoRS5MXYWmKEUtTjMhMjEZ77wj+9VAt3jrXiqgILb6+LRff2JbDM2sCiBM9Q3f/KJ4/XIdfnmkGgUAEjHn72msIyDbFYEmy54NZmGLE2swEpMRFShw1U4K23hFcaO5FdWc/rnoPGJodw/CllsgIDVxuASLCo8VZeGpHXtDn44cjTvTsuhbHMP7zZCO0RN6kvggFybOfcjM2F8PjTtR2DV4/Y9RqgMe35vBgfhBxomeMMZXjK2MZYyyMcaJnjDGV40TPGGMqx4meMcZUjhM9Y4ypHCd6xhhTOU70jDGmcpzoGWNM5WR5wRQRWQFcm+fDzQBsAQwn1JQeP6D816D0+AHlvwaOf+6yhBCW6e6QZaJfCCKqmOnqMCVQevyA8l+D0uMHlP8aOP7A4tINY4ypHCd6xhhTOTUm+pelDmCBlB4/oPzXoPT4AeW/Bo4/gFRXo2eMMXYjNR7RM8YYm4QTPWOMqZwiEz0R3UVE1URUR0TPTHM/EdGPvfdfJKJ1UsR5M368hh1E1EdEF7z//lKKOGdCRP9JRN1EdGmG+2W9D/yIX+6//wwiOkxEVUR0mYj+cJpt5L4P/HkNst0PRBRJRGeI6GNv/H89zTby2AdCCEX9A6AFUA8gF4AewMcAlk/Z5h4A7wMgAMUAyqSOex6vYQeA96SO9SavYTuAdQAuzXC/3PfBbPHL/fefCmCd92sjgBoFfg78eQ2y3Q/e32us9+sIAGUAiuW4D5R4RL8RQJ0QokEIMQ7gNQB7pmyzB8DPhcdpAPFElBrqQG/Cn9cga0KIYwAcN9lE1vvAj/hlTQjRIYQ45/16AEAVgLQpm8l9H/jzGmTL+3sd9H4b4f03dXaLLPaBEhN9GoCWSd+34tNvDn+2kZK/8W32nha+T0QrQhNawMh9H/hDEb9/IsoGsBaeI8rJFLMPbvIaABnvByLSEtEFAN0APhBCyHIf6EL9hAFA09w29a+oP9tIyZ/4zsHTu2KQiO4B8DaAgmAHFkBy3wezUcTvn4hiAbwJ4I+EEP1T757mIbLbB7O8BlnvByGEC8AaIooHsJeIbhFCTB73kcU+UOIRfSuAjEnfpwNon8c2Upo1PiFEv++0UAixH0AEEZlDF+KCyX0f3JQSfv9EFAFPgvyFEOKtaTaR/T6Y7TUoYT8AgBCiF8ARAHdNuUsW+0CJib4cQAER5RCRHsDDAN6dss27AB71jngXA+gTQnSEOtCbmPU1EFEKEZH3643w7Ct7yCOdP7nvg5uS++/fG9vPAFQJIf5phs1kvQ/8eQ1y3g9EZPEeyYOIogDcDuDqlM1ksQ8UV7oRQjiJ6GkAB+CZvfKfQojLRPSk9/6XAOyHZ7S7DsAwgK9JFe90/HwNDwJ4ioicAEYAPCy8w/hyQES/gmdGhJmIWgH8FTyDUYrYB37EL+vfP4AtAL4CoNJbIwaAZwFkAsrYB/DvNch5P6QCeJWItPD8AXpdCPGeHHMRt0BgjDGVU2LphjHG2BxwomeMMZXjRM8YYyrHiZ4xxlSOEz1jjKkcJ3rGGFM5TvSMMaZy/wu5OIIb7N2/FAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x_sensory = np.linspace(0, 1.)\n",
"\n",
"x_stimulus, p_stimulus = to_stimulus(x_sensory, 1.)\n",
"plt.plot(x_stimulus, p_stimulus)"
]
},
{
"cell_type": "markdown",
"id": "52c77ead",
"metadata": {},
"source": [
"# Use von Mises distribution to create noise in sensory space"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "c81407ab",
"metadata": {},
"outputs": [],
"source": [
"import scipy.stats as ss\n",
"import seaborn as sns"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "33d6900e",
"metadata": {},
"outputs": [],
"source": [
"def get_vonmises_pdf(loc, sd, x):\n",
" return ss.vonmises(loc=loc*np.pi*2., kappa=1./(sd*np.pi*2.)**2).pdf(x*np.pi*2)*np.pi*2."
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "fc6e6d9a",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7ff2ffe7c2b0>]"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x_sensory, get_vonmises_pdf(.25, .5, x_sensory))\n",
"plt.plot(x_sensory, get_vonmises_pdf(.5, .5, x_sensory))\n",
"plt.plot(x_sensory, get_vonmises_pdf(.9, .5, x_sensory))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "a312b14a",
"metadata": {},
"outputs": [],
"source": [
"def get_random_samples_sensory_space(loc, sd, n=100):\n",
" vm = ss.vonmises(loc=0.0, kappa=1./(sd*np.pi*2.)**2.)\n",
" \n",
" return ((vm.rvs(n) + np.pi) / (np.pi * 2) + loc - .5) % 1"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "163b0cdb",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7ff2fffabd30>]"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.histplot(get_random_samples_sensory_space(0.25, .1, 10000), stat='density', )\n",
"plt.plot(x_sensory, get_vonmises_pdf(.25, .1, x_sensory), ls='--', c='orange')"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "1a41024f",
"metadata": {},
"outputs": [],
"source": [
"def get_stimulus_pdf(x, mu_stimulus, noise_sensory):\n",
" \n",
" \n",
" # dim(mu_stimulus/noise_sensory) x dim(x)\n",
" noise_sensory = np.atleast_2d(noise_sensory).T\n",
" mu_stimulus = np.atleast_2d(mu_stimulus).T\n",
" x = np.atleast_2d(x)\n",
" \n",
" \n",
" mu_sensory = to_sensory_(mu_stimulus)\n",
" x_sensory = to_sensory_(x)\n",
" \n",
" p_sensory = get_vonmises_pdf(mu_sensory, noise_sensory, x_sensory)\n",
" \n",
" _, p_stimulus = to_stimulus(x_sensory, p_sensory)\n",
" \n",
" p_stimulus *= prior(x)\n",
" \n",
" return np.squeeze(p_stimulus)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "9a873771",
"metadata": {},
"outputs": [],
"source": [
"def get_decoded_orientation(mu_stimulus, noise_sensory, x=None):\n",
" \n",
" if x is None:\n",
" x = np.linspace(0, np.pi, 500)\n",
" \n",
" x = np.atleast_2d(x)\n",
" \n",
" p = get_stimulus_pdf(x, mu_stimulus, noise_sensory)\n",
" p /= p.sum(1)[:, np.newaxis]\n",
" \n",
" return (np.angle((np.exp(1j*x*2.)*p).sum(1)) % (2*np.pi) / 2.) % np.pi"
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "a673831f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7ff2e3896280>]"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(0, np.pi-1e-6, 1000)\n",
"mu_ = get_decoded_orientation(x, .5)\n",
"\n",
"plt.plot(x, mu_% np.pi)\n",
"plt.plot([0, np.pi], [0, np.pi], c='k', ls='--')"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "75727478",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7ff2e2ab4700>]"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(0, np.pi, 500)\n",
"plt.plot(x, prior(x))"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "14366ddd",
"metadata": {},
"outputs": [],
"source": [
"def get_mean_posterior(mu_stimulus, sensory_noise, x=None):\n",
"\n",
" if x is None:\n",
" x= np.linspace(0, np.pi)\n",
" \n",
" p = get_stimulus_pdf(x, mu_stimulus, sensory_noise)\n",
" \n",
" return np.angle((np.exp(1j*x)*p).sum(1))"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "cee8d697",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/gdehol/miniconda3/envs/pymc3/lib/python3.8/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
" warnings.warn(msg, FutureWarning)\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Parameters\n",
"sensory_noise = .05\n",
"\n",
"# Real-world orientation\n",
"orientation = 0.4* np.pi\n",
"\n",
"# Orientation in sensory space\n",
"sensory_mu = to_sensory_(orientation)\n",
"\n",
"# Random samples in sensory space:\n",
"sensory_samples = get_random_samples_sensory_space(sensory_mu, sensory_noise, n=1000)\n",
"sns.distplot(sensory_samples)\n",
"\n",
"x_stimulus = np.linspace(0, np.pi, 500)\n",
"x_sensory = to_sensory_(x_stimulus)\n",
"\n",
"p_sensory = get_vonmises_pdf(sensory_samples[:, np.newaxis], sensory_noise, x_sensory)\n",
"x_stimulus, p_stimulus = to_stimulus(x_sensory, p_sensory)\n",
"\n",
"dx = x_stimulus[1:] - x_stimulus[:-1]\n",
"theta_ = np.angle(((dx * (p_stimulus[:, 1:] + p_stimulus[:, :-1])/2.) * (np.exp(1j*(x_stimulus[1:] + x_stimulus[:-1])/2.))).sum(1))\n",
"\n",
"# sns.distplot(theta_)\n",
"# plt.axvline(orientation, c='k', ls='-')\n",
"# plt.axvline(np.angle(np.mean(np.exp(1j*theta_))), c='k', ls='--')"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "f17151db",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/gdehol/miniconda3/envs/pymc3/lib/python3.8/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
" warnings.warn(msg, FutureWarning)\n"
]
},
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7ff2e2c118b0>]"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"\n",
"sns.distplot(sensory_samples)\n",
"plt.plot(x_sensory, get_stimulus_pdf(x_sensory, sensory_mu, sensory_noise))"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "cd1152a3",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7ff2e30fff70>,\n",
" <matplotlib.lines.Line2D at 0x7ff2e3307040>,\n",
" <matplotlib.lines.Line2D at 0x7ff2e3307160>,\n",
" <matplotlib.lines.Line2D at 0x7ff2e32ebdc0>,\n",
" <matplotlib.lines.Line2D at 0x7ff2e32ebdf0>,\n",
" <matplotlib.lines.Line2D at 0x7ff2e33073a0>,\n",
" <matplotlib.lines.Line2D at 0x7ff2e33074c0>,\n",
" <matplotlib.lines.Line2D at 0x7ff2e33075e0>,\n",
" <matplotlib.lines.Line2D at 0x7ff2e3307700>,\n",
" <matplotlib.lines.Line2D at 0x7ff2e3307820>]"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x_sensory, p_sensory[:10, :].T)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "211ed71b",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.lines.Line2D at 0x7ff2e32164c0>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x_stimulus, p_stimulus[:10, :].T)\n",
"plt.axvline(0.4* np.pi, c='k')"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "81f1a6c2",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "898be52f",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "75915b30",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.12"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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