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@Gilles86
Last active September 17, 2022 18:24
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{
"cells": [
{
"cell_type": "code",
"execution_count": 3,
"id": "0cbc122c",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import scipy.stats as ss\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns"
]
},
{
"cell_type": "markdown",
"id": "111525c9",
"metadata": {},
"source": [
"# Set up prior"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "ffacbb3d",
"metadata": {},
"outputs": [],
"source": [
"prior = ss.norm(0.0, 1.)\n",
"to_sensory = prior.cdf\n",
"to_stimulus = prior.ppf"
]
},
{
"cell_type": "markdown",
"id": "14180eb2",
"metadata": {},
"source": [
"# Set up transfer functions"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "e95790dc",
"metadata": {},
"outputs": [],
"source": [
"def to_sensory(x_stimulus, p_stimulus):\n",
" return prior.cdf(x_stimulus), p_stimulus / prior.pdf(x_stimulus) # dividing by PDF is essential for shrinkage/expansion"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "ce506389",
"metadata": {},
"outputs": [],
"source": [
"def to_stimulus(x_sensory, p_sensory):\n",
" x_stimulus = prior.ppf(x_sensory)\n",
" return prior.ppf(x_sensory), p_sensory * prior.pdf(x_stimulus)"
]
},
{
"cell_type": "markdown",
"id": "c270a2d5",
"metadata": {},
"source": [
"# Plot prior in two spaces"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "eb117189",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 720x216 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x_stimulus = np.linspace(-3, 3, 100, True)\n",
"p = ss.norm(0.0, 1.).pdf(x_stimulus)\n",
"\n",
"plt.subplot(121)\n",
"plt.title('Sensory space')\n",
"plt.plot(*to_sensory(x_stimulus, p))\n",
"\n",
"plt.subplot(122)\n",
"plt.title('Stimulus space')\n",
"plt.plot(x_stimulus, p)\n",
"\n",
"plt.gcf().set_size_inches(10, 3)\n",
"sns.despine()"
]
},
{
"cell_type": "markdown",
"id": "bdb2f5f8",
"metadata": {},
"source": [
"# From stimulus space to sensory space"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "7bf2fb91",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x216 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"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_stimulus = np.linspace(-3., 3., 100, True)\n",
"p = ss.norm(-1., .25).pdf(x_stimulus)\n",
"\n",
"plt.subplot(121)\n",
"plt.title('Sensory space')\n",
"plt.plot(*to_sensory(x_stimulus, p))\n",
"\n",
"plt.subplot(122)\n",
"plt.title('Stimulus space')\n",
"plt.plot(x_stimulus, p)\n",
"\n",
"plt.gcf().set_size_inches(10, 3)\n",
"sns.despine()\n",
"\n",
"plt.figure()\n",
"plt.title('Overlap original pdf and back-and-forth-transformed pdf')\n",
"plt.plot(*to_stimulus(*to_sensory(x_stimulus, p)), label='Transformed back-and-forth')\n",
"plt.plot(x_stimulus, p, ls='--', label='Original')\n",
"plt.legend()\n",
"sns.despine()"
]
},
{
"cell_type": "markdown",
"id": "12b94306",
"metadata": {},
"source": [
"# From sensory space to stimulus space"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "9449bec5",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/var/folders/d4/cpqhwlbn301clph1qk64k01nmjkty3/T/ipykernel_49832/3335397167.py:2: RuntimeWarning: invalid value encountered in true_divide\n",
" return prior.cdf(x_stimulus), p_stimulus / prior.pdf(x_stimulus) # dividing by PDF is essential for shrinkage/expansion\n"
]
},
{
"data": {
"image/png": 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JzKdraCJ9klSZ6m5TJSkplCSJLFMq2Tk7YiVp47oSyovyteP3MpmZAXcCe9z9U/Ocdjfw9nCW25VAv7ufyFmQIml0Do5TX/HiJKmqtIDigjx1tyVIQdwBiKx0+zuGWFdaSEOaRi8dM+Psxgp1ty3fK4BbgKfM7PHwsY8ArQDufjtwD3ADcAAYAd6R+zBFXuDuQXdbmvbCzGiqKqFdA7cTQ0mSyDId6Bhie2MFQWEjmrMbK/nZAQ0QXg53/xnpxxzNPseBd+cmIpGFDU9MMzo5TX2a7jYIBm+rkpQc6m4TWaYDHUORB22nnN1YQfvAOP2jk1mKSkSSqG8kmNVaU1aY9nhjVQkdGridGEqSRJaheyiYyn92Y7Tp/ynbGzXDTWQtSn0xWldalPZ4Y6UqSUmiJElkGfaHSU4q6YnqhWUANMNNZC3pH0klSekrSfUVxYxMTDM6MZ3LsGQeSpJEluG5ziBJOmuRSVJLTRmF+cbzXdqnSWQteaGSNF+SFFSYuofV5ZYESpJEluFI9whF+XlsqCpZ+ORZ8vOMTbVlHOoazlJkIpJEp5KkecYk1ZUHA7pTm+BKvJQkiSzDkZ4RWmpLI+3ZNtfWunIOdStJEllLFqwkhbPeuodUSUoCJUkiy3CkZ4TW2rIlPXdzXTmHu0cIZqmLyFrQPzpJfp5RXpSf9nhdedjdpkpSIihJElkid+dI99KTpK31ZYxOTmu6r8ga0j86SXVp4bzrqqVW4u7SmKREUJIkskT9o5MMjk8tq5IE8LzGJYmsGX2jk/N2tQGUFuVTXpRP16AqSUmgJElkiY70BDPTll5JCpIkDd4WWTsGRiepOkOSBFBXUazZbQkRKUkys2oz+4aZ7TWzPWZ2VbYDE0m6U0lS3dKSpA3rSijMNw51axkAkbWif4FKEkBdRZHGJCVE1ErSZ4Dvu/s5wEXAnuyFJLIypJKkTTVLS5IK8vO0DIDIGhMlSaqvKKZLs9sSYcEkycyqgFcCdwK4+4S792U5LpHEO9ozQn1FEeXFS98neouWARBZU6IlSUVaJykholSStgGdwP9nZo+Z2d+aWXmW4xJJvMPdI2xa4niklC1aBkBkzZiZcQZGJ6meZyHJlLryYnqGx5mZUbsQtyhJUgFwCfBX7v4yYBj48NyTzOxWM9tlZrs6OzszHKZI8ixnjaSULVoGQGTNGByfYsbnX0gypb6iiBkPZsJJvKIkSW1Am7s/FN7/BkHSdBp3v8Pdd7r7zoaGhkzGKJI4k9MzHO8bXX6SpGUARNaMgTDpiTK7DbTqdhIsmCS5+0ngqJntCB96NfBMVqMSSbjjfaPMOMvubkslWUd7NMNNZLVbaEuSlLpwk9tOJUmxizri9L3AV8ysCDgIvCN7IYkkX2pm2+ZlJkkbq0sxU5IkshZETZLqT1WSNHg7bpGSJHd/HNiZ3VBEVo7lrpGUUlSQx8Z1pRztHc1EWCKSYItPklRJiptW3BZZgiM9IxTl59FUWbLsa7XUlKqSJLIGpJKkhWa3VZcWkp9nWgYgAZQkiSzB0Z4RWmpLyctLv0nlYmyqLTtVmRKR1atvJFolKS/PqCkrontYSVLclCSJLEEmpv+ntNaW0TE4ztjkdEauJyLJ1D86SWG+UVqYv+C59RVF6m5LACVJIovk7hzuzlyStKm2FIA2jUsSWdVSq22bLVyBrqtQJSkJlCSJLFL/6CSDY1OZS5JqtAzAUpjZF8ysw8yenuf4tWbWb2aPhz8fzXWMIrMNjE4uuEZSSl15sSpJCbD0TadE1qhTG9tmsLsN4GivkqRF+iLweeBLZzjnfnd/fW7CETmzKPu2pdSWF2kJgARQJUlkkU6tkbTM6f8pDZXFFBfkqZK0SO5+H9ATdxwiUfWPTlIdMUmqryhicHyK8SmNVYyTkiSRRTpVSarJTJJkZrTUlGqGW3ZcZWZPmNn3zOz8uIORtW0xlaTU1iQ9GpcUKyVJIot0tGeE+ooiyosz11vdWlvG0R4N3M6wR4HN7n4R8Dng2/OdqA26JRf6RiaiJ0nlwdYk6nKLl5IkkUU60jOSsfFIKZtqyzjaM4K7Z/S6a5m7D7j7UHj7HqDQzOrnOVcbdEtWzcw4g+NTi64kdWnwdqyUJIksUibXSErZVFPG4PjUqRV5ZfnMbL2Fc63N7HKC9q473qhkrRocm8KdyLPb6itUSUoCzW4TWYTJ6RmO943xxoszX0kCONozSnVZUUavvVqZ2V3AtUC9mbUBHwMKAdz9duAm4F1mNgWMAje7SnUSk6j7tqXUprrbhlVJipOSJJFFONE3xvSMZ6G7LVhQ8mjvCBe2rMvotVcrd3/zAsc/T7BEgEjsXti3LdqXoIriAooK8lRJipm620QW4XDPMEDmu9tqtaCkyGq22EqSmVFfrlW346YkSWQRMr1GUkpVSSHVZYVaBkBkleobDZKdqEkSBIO3tep2vJQkiSzCkZ4RivLzaKosyfi1N9WUcVT7t4msSoutJIH2b0sCJUkii3C0Z4SW2lLy8hbeoHKxNtWW0qZKksiqtKQkqbxYY5JipiRJZBGyMf0/ZVNNGW29o8zMaAKWyGrTPzpJUX4eJYXR/7dbV1FE19C41k+LkZIkkUU40p3FJKm2jInpGdoHx7JyfRGJz8DoJOvKCgmX7oqkrryI8akZhie0f1tclCSJRNQ/MsnA2FRWkyQIEjERWV0Ws29bSmrVbQ3ejo+SJJGITm1sm6UkKZV8afC2yOrTN7KUJCm1oKTGJcVFSZJIRKkkKVuVpObqUszQMgAiq9BSKkn15alKkpKkuChJEokoWwtJphQV5LFxXakWlBRZhZbW3Zbav03dbXFRkiQS0dGeEeoriigvzt5uPptqS1VJElmFlpIkvbB/mypJcVGSJBLRkZ6RrI1HSmmtLVOSJLLKTM84g2NTi06SSgrzqSguoEuVpNgoSRKJKJtrJKW01pbROTjOqKb8iqwag2OLX0gypa6iSGOSYqQkSSSCyekZjveNZT1JOrXRba+qSSKrRd/IMpKk8iK6h1VJiouSJJEITvSNMT3jOeluA62VJLKaLGVLkpRgk1tVkuKiJEkkgmxP/085lSRpXJLIqnEqSSpbfJJUr01uYxU5STKzfDN7zMy+k82ARJIoV0lSbXkR5UX5SpJEVpHlVJJqy4voGZ7Qno4xWUwl6X3AnmwFIpJkR3pGKMrPY31VSVZfx8zYVFumtZJEVpFUklS9pDFJxUzP+KlrSG5FSpLMrAX4FeBvsxuOSDId6RmmpaaUvLzom1MulZYBEFldUglO1RJntwEavB2TqJWkTwMfBGbmO8HMbjWzXWa2q7OzMxOxiSTG4e4RNtdlt6stJZUkuau8LrIa9I9OUlyQR0lh/qKfWx9uctulwduxWDBJMrPXAx3u/siZznP3O9x9p7vvbGhoyFiAInFz9zBJKs/J67XWlTE+NUPnoL45iqwG/UvY3Dblha1JlCTFIUol6RXAG8zsEPBV4FVm9vdZjUokQXqGJxgan8r6oO2UTZrhJrKqLGVLkpS61Ca36m6LxYJJkrv/vru3uPsW4Gbg39z9bVmPTCQhDofJSi6720BJkshqsZwkqSZcNkCVpHhonSSRBaQWdsxVktRcXYqZkiSR1WI5SVJBfh41ZYWqJMVkUUmSu//E3V+frWBEkuhw9whm0FKTmySppDCf9VUlSpIWYGZfMLMOM3t6nuNmZp81swNm9qSZXZLrGEUgTJKWsJBkilbdjo8qSSILONwzzPqqkiXNTFkqrZUUyReB685w/Hpge/hzK/BXOYhJ5EUGllFJgnD/NiVJsVCSJLKAI90jORu0naK1khbm7vcBPWc45UbgSx54EKg2sw25iU4kMDk9w+D4FNWlRUu+Rn1FMV3qbouFkiSRBRzK4RpJKa21ZbQPjDM2OZ3T111lmoGjs+63hY+J5MxAarXtZXW3FdGlJUFioSRJ5AyGx6foGhrP2RpJKanKVVuvqknLkG559LQrdGoxXMmWvgwkSfUVxQyMTTE+pS9NuaYkSeQMjuR4+n9Ka52WAciANmDTrPstwPF0J2oxXMmWvpGlb0mS0lQVrJXUMaBqUq4pSRI5g8Op6f+18VSSUssPyJLcDbw9nOV2JdDv7ifiDkrWloFlbG6b0hhurN0xOJaRmCS6grgDEEmyIz3DwAuVnVypKy+ivCifQ0qS5mVmdwHXAvVm1gZ8DCgEcPfbgXuAG4ADwAjwjngilbWsbzSYlVZdtvSB202VQZLUrkpSzilJEjmDw90jVJcVLmv67lKYGVsbynm+azinr7uSuPubFzjuwLtzFI5IWqnutuVUklLdbe0DqiTlmrrbRM7gcPcIm3M8/T9la32FkiSRFS4TY5JqyooozDdVkmKgJEnkDA73DNOa45ltKVvry2nrHdGMFpEVrH90ksqSAvLz0k22jCYvz2isLKFDlaScU5IkMo/xqWmO9Y6yNcfjkVK21Zcz42jlbZEVrH90clnT/1Maq4pp18DtnFOSJDKPI90jzDhsa6iI5fW31gcVrIOd6nITWan6RiaWtdp2SlNlibrbYqAkSWQez3UOAbCtIZ7uti1hkqRxSSIrV1+GKklNVcUauB0DJUki83gurOCkKjq5tq60kPqKIiVJIitY/8jyNrdNaawqYXBsipGJqQxEJVEpSRKZx8HOYRori6ksye30/9m21Veou01kBctcJSlcUFJdbjmlJElkHge7hjgrpvFIKVvryzmoSpLIiuTu9I9mppJ0amsSbXSbU0qSRNJwdw52Dsc2Hilla0M5XUPjDIxNxhqHiCze0PgU0zOemYHbValVtzUuKZeUJImk0TM8Qf/oZGwz21JS46EOqZoksuKkFpJcl4nutkolSXFQkiSSRmrQdtyVpG2a4SayYvVnYHPblKrSAsqK8jnWN7rsa0l0SpJE0jgYTv8/qz7eSlJrXRlmLyRtIrJynKokZSBJMjOaq0s51qskKZeUJImkcbBrmKKCPJprSmONo7ggn9baslNrNonIytEzMgFAbfnyxyQBbKwuVSUpx5QkiaRxsHOIrXXly9pvKVO2N1by7MnBuMMQkUXqGQpmomUqSWquUZKUa0qSRNLY3zHEWY3xjkdK2bG+gue7hpmYmok7FBFZhJ7hCcyguixDSVJ1KX0jkwyPa0HJXFGSJDLHyMQUR3pG2NFUFXcoALykqZKpGdfgbZEVpnt4gpqyooxVpFvC7v/jqibljJIkkTn2tw/hDjvWV8YdChAkSQDPtqvLTWQl6RmeoCYD0/9TmquDJKlNSVLOKEkSmWNfOP4nKUnStoZgbNR+JUkiK0r38AR15cUZu15qIolmuOWOkiSROfa1D1JSmEdrbVncoQDBDLfNdWXsU5IksqL0DE9kbNA2QGNlCQV5psHbOaQkSWSOfScH2d5YmYiZbSk7mirZ365lAERWkt7hCWorMpck5ecZG6pLVEnKoQWTJDPbZGb3mtkeM9ttZu/LRWAicdl7cjAxXW0p25sqOdQ9zNjkdNyhiEgEMzNO78gEdRmsJEEwLkmVpNyJUkmaAj7g7ucCVwLvNrPzshuWSDy6h8bpGhpnR1OykqQdTZXMOBzoUDVJZCXoG51kxjO3RlJKS00ZR3tGMnpNmd+CSZK7n3D3R8Pbg8AeoDnbgYnEITXuJ2mVpPM3BssRPHN8IOZIRCSKnuHMLiSZsrW+nI7Bca2VlCOLGpNkZluAlwEPpTl2q5ntMrNdnZ2dGQpPJLf2ngiSpHMSliS11pZRWVzA08f74w5FRCLoHsrsliQpW7XpdU5FTpLMrAL4JvB+d3/R11l3v8Pdd7r7zoaGhkzGKJIzTx/rp6GymMaqkrhDOU1ennHexiqeOqYkaTYzu87M9pnZATP7cJrj15pZv5k9Hv58NI44Ze3pGc5uknSoW0lSLhREOcnMCgkSpK+4+7eyG5JIfJ461s9Lm9fFHUZaFzSv4ysPHWZqeoaCfE1MNbN84P8CrwXagIfN7G53f2bOqfe7++tzHqCsaV1hklRfkbl1kgC21IWVpE4lSbkQZXabAXcCe9z9U9kPSSQew+NTPNc5xAWJTZKqGJuc4aDK7CmXAwfc/aC7TwBfBW6MOSYRADoHxjAj47PbSovy2bCuRN1tORLl6+grgFuAV80qWd+Q5bhEcu6ZEwPMOFyY1CRpYxDX0+pyS2kGjs6630b6SSVXmdkTZvY9Mzs/N6HJWtc+ME59RXFWqr5b68t5Xt1tObFgd5u7/wxIzqp6IlnyVFuQfFzYkswkaVtDBSWFeTx9bID/dEnc0SRCunbJ59x/FNjs7kPhl7tvA9tfdCGzW4FbAVpbWzMcpqxFHYNjNFZmtqstZWt9Od996kRWri2n08AGkVBq0HZTwgZtp+TnGedtqFIl6QVtwKZZ91uA47NPcPcBdx8Kb98DFJpZ/dwLaeKJZFrH4HjW2pKt9eX0jUzSG457kuxRkiQSerytL7GDtlMu2lTNk8f6mJyeiTuUJHgY2G5mW82sCLgZuHv2CWa2PhxXiZldTtDmdec8Ullz2gfGs1ZJOquxAoD9Wlw265QkiRBM1z3YOcylW2riDuWMLt1cw9jkjBaVBNx9CngP8AOCRW6/7u67zew2M7stPO0m4GkzewL4LHCzu8/tkhPJqKnpGbqHs5cknbs+WFx270m1A9kWaQkAkdXukcO9AFy2pTbmSM5s5+Ygvl2He7loU3W8wSRA2IV2z5zHbp91+/PA53Mdl6xtXUMTuJO19daaqoqpLitkT7j4rWSPKkkiwK7DPRTl5yV2ZlvK+nUlNFeX8miY1IlI8nQMjgFkrZJkZpyzvlKVpBxQkiQC7DrUywXNVZQU5scdyoIu3VzDrsM9qNdIJJnaB4J927I5CeSc9VXsOznIzIzagWxSkiRr3tjkNE+19bMz4V1tKTu31NA+ME5b72jcoYhIGif7g8/m+nXZS5LO3VDJyMQ0R3tHsvYaoiRJhMeP9jExPZP48UgpV2ytA+CB57pijkRE0mnrHaUoP4+GDG9JMtu5G4LB29rPMbuUJMmad//+TvLzjCu3rYwk6SVNFTRWFnP/fiVJIknU1jdKc00peXnZW4f5nPVVFBfk8diRvqy9hihJEuH+/V1c0lpNZUlh3KFEYmZcfXY9DzzXrfEIIgnU1jtKS01pVl+jqCCYaPLYEU3iyCYlSbKm9QxP8NSxfq7ZvrJWWb56ez09wxM8c0KzW0SS5ljvCM3V2U2SAC7ZXMPTxwYYn5rO+mutVUqSZE37+YEu3IOkYyW5+uwgXnW5iSTL2OQ0XUMTWa8kAVzSWs3E9Ay7tbhs1ihJkjXt3r0drCstTPx2JHM1VpVw/sYqfrynPe5QRGSW1KzTlpqyrL/Wy1qDHQIeOaQut2xRkiRr1sTUDD/a085rzm2iIH/lfRSuO389jxzupX1gLO5QRCR0qGsYgE212U+SmqpK2NZQzs8OqKKcLSvv/wwiGfLvB7sZHJvi+gvWxx3Kklx/YRD3D3afjDkSEUl5rjPYdPbshoqcvN4rtzfw0PPdGpeUJUqSZM36/tMnKC/KX3HjkVLObqzk7MYKvveUkiSRpHiuc4j6imLWleVmtuw12+sZm5xRl1uWKEmSNWlscprvPHmC152/fkVsRTKfGy7cwEPPd3OiX6tviyTBc53DnNVQnrPXu3JbHUX5efx4T0fOXnMtUZIka9IPdp9kcGyKm3a2xB3Ksrzp0hZmHL7+cFvcoYisee7OgY4hzm7MTVcbQHlxAa98SQP3PHVC66ZlgZIkWZO+9vBRWmpKuTLc4mOl2lRbxjXb6/naw0eYVgMpEquOwXH6RydzmiQB/OpFGzg5MMajWlgy45QkyZrzzPEBHniumzdf3prVbQNy5ebLWjneP8a9e1VuF4nTU23BPmoX5nhJkVef20RxQR7ffPRYTl93LVCSJGvO39x/kLKifN52xea4Q8mI157XRHN1KZ+/9wDuqiaJxOXJY/3kGZy3sSqnr1tRXMAbLtrItx87Rv/oZE5fe7VTkiRryvNdw/zLE8f59cs25Wz2SbYVFeTxrmvP4vGjfVovRSRGT7b1sb2xkrKigpy/9m+8fAujk9P8466jOX/t1UxJkqwpf/79vaeSitXkTTtb2LCuhE/+YJ8Gb4rEYGo6mIZ/yeaaWF7/guZ1XL61lr++7yAjE1OxxLAaKUmSNeNn+7v43tMneecrz6KxsiTucDKquCCfD163gyfa+vnqw/omKZJrTx7rZ3B86tS+inH40HU76Bwc5877n48thtVGSZKsCQNjk3zwG0+wraGcd/7StrjDyYo3XtzMldtq+ZPv7eFI90jc4YisKfc924kZXHVWfDNmL91cy/UXrOdz9x5gf/tgbHGsJkqSZNWbnnHed9djtA+O88k3XbSiF488EzPj/9x0EQa8+x8eVcldJEfcnX954jiXbamltrwo1lj+140XUFFcwHvveoyhcbUBy6UkSVa16RnnI996inv3dfLxN5zPJa3xjBfIlU21ZXzq1y5m9/F+fudLuxib1H5OItn2RFs/z3UOc+PFG+MOhYbKYj71axexv2OI2778CKMTagOWQ0mSrFp9IxO888uP8LVdR/m9V53NLVeujin/C3nNeU38+U0X8fMD3dx8x4PaskQky/7y3gNUlQTT8JPg2h2N/Nl/fik/f66LN/31A+p+X4ZISZKZXWdm+8zsgJl9ONtBiSzH9IzzrUfbuO7T9/PTZzv42K+ex//zyzviDiunbrq0hdvfdgn72wf55b+4jy/87PlVWVVaqG2ywGfD40+a2SVxxCmr17/uaeeHz7Tz21dvo7IkOcuK3HRpC3f+xk4Od43wmr/4KX/+/b20D4zFHdaKYwstPmdm+cCzwGuBNuBh4M3u/sx8z9m5c6fv2rUrk3GKnNHoxDSPHenlvv1dfPuxY5wcGOPC5nX80Rsv4KJN1XGHF5uDnUN87O7d3L+/i+qyQm68aCO/tKOBSzfXsq40ow16zpcuj9I2mdkNwHuBG4ArgM+4+xVnuq7aL4nqR8+0876vPkZrbRn//J5XUFyQvPGOJ/pH+d/37OU7Tx4n34zLttRy7Y4GLmxex7kbqqiJeQxVgqRtw6IkSVcBH3f314X3fx/A3f9kvudEbWR+8XwPR3tOLwOmi2a+GNM+muZBT/NgukvO906kP3d510x3cvrfPd1j0d+PqDEtZqXmbLwfi7nm8PgU/aOTDIxN0T00zqGuYY73B9+Q8vOMa7bX8+bLW3ntuU2rYtuR5XJ3HjzYw5cfPMS/7ulgfGoGgKaqYrbUlVNfUUxNeSHVpUUUF+RRUphPcWEel22p5dwNkVcOjiNJWrBtMrO/Bn7i7neF9/cB17r7ifmuG7X9Otk/xs/nLN4Z5bO11HYr+mf5zNeJfK0ltlHp2pJocaY7Z+F2aantUfT28sX/Dsf6RnnkUC/72gc5Z30lX/qty2msSvayIoe6hvnarqP8254O9s2a+VZRXEBjVTGNlcWsKy2krKiA0qJ8ygrzKS3KJz/PyDcjL89O3c4Pb+flGXkGNuvjb7NagrmNwunH5j9x9l2b9aQzXW+u6rJCXnVO0/wnvFjaq0VZFrQZmL3wShvBN7LTr252K3ArQGtra6SI/v7Bw9z9xPFI54qkFOQZVaWFVJUUUF1WxOVba9laX8EFzVVcvrU2USXvJDAzrjqrjqvOqmNscppdh3p5+ng/+9uHONIzzN6TA/QMT9A/OsnsdSg//qvnLSZJikOUtindOc3AaUnSUtqvvScH+MA/PrG4iGVVqC4rZEdTJZ944wX8+s5NFBUkf3jvlvpyPnTdOXzounPoHBxn78kB9p4Y5Hj/KB0D43QMjnG4e4ThiSlGJ6YZHp9mdAV30V/YvG6xSVJaUZKkdNlVmi8dfgdwBwTfxKK8+B++/jz+W5qxImfKDqOca2keTHfJtM+d5wtx+nPTnZj5a0b9fea/ZrQXmu99X05My32P0ykuyEv7+rKwksJ8rt5ez9Xb0y94NzU9w/hU8FNSmPiGP0rblLX264qtddz33//Di4OK8Ke51HYr6udp7nlLbauW2kYtuS2I2C69+H1ZWnsU5b1LZ6UvI9JQWUxDZQPXbG9Y8NyZGWfanekZZyb876kf99Oqb6fdPkMl1E97fOGKabrH01ULZ8tU4holSWoDNs263wJkpPzTUFmcicuISIYU5OdRkJ9H+cr4aEZpm7LWfpUW5dNaV5aJS4kkVl6ekYexwvPCJYuSaj0MbDezrWZWBNwM3J3dsEREFhSlbbobeHs4y+1KoP9M45FERGZbsJLk7lNm9h7gB0A+8AV33531yEREzmC+tsnMbguP3w7cQzCz7QAwArwjrnhFZOWJ0t2Gu99D0NiIiCRGurYpTI5Stx14d67jEpHVIfEjM0VERETioCRJREREJI0FF5Nc0kXNOoHDEU+vB7oWPCt5FHdurdS4YeXGvpi4u9z9umwGkyuLbL/mSuK/tWKKLolxKabolhNX2jYsK0nSYpjZLnffGWsQS6C4c2ulxg0rN/aVGneckvieKabokhiXYoouG3Gpu01EREQkDSVJIiIiImkkIUm6I+4Alkhx59ZKjRtWbuwrNe44JfE9U0zRJTEuxRRdxuOKfUySiIiISBIloZIkIiIikjg5S5LM7Doz22dmB8zsw2mOm5l9Njz+pJldkqvYziRC3G8N433SzB4ws4viiHOuheKedd5lZjZtZjflMr75RInbzK41s8fNbLeZ/TTXMaYT4e9knZn9i5k9EcadiO0xzOwLZtZhZk/PczyRn8skM7NPhO/V42b2QzPbmICY/o+Z7Q3j+iczq05ATG8KPwszZhbrTKmo7WUuLfTZjIOZbTKze81sT/hv974ExFRiZr+Y1bb+z4y+gLtn/YdgX6XngG1AEfAEcN6cc24AvgcYcCXwUC5iy0DcLwdqwtvXr5S4Z533bwTbOty0EuIGqoFngNbwfuMKifsjwJ+FtxuAHqAoAbG/ErgEeHqe44n7XCb9B6iadfv3gNsTENMvAwXh7T9L/S3GHNO5wA7gJ8DOGOOI1F7GENcZP5sxxbQBuCS8XQk8G/d7FbZNFeHtQuAh4MpMXT9XlaTLgQPuftDdJ4CvAjfOOedG4EseeBCoNrMNOYpvPgvG7e4PuHtvePdBoCXHMaYT5f0GeC/wTaAjl8GdQZS43wJ8y92PALh7EmKPErcDlWZmQAVBkjSV2zBfzN3vC2OZTxI/l4nm7gOz7pYT/NvHyt1/6O6pv7dEtFPuvsfd98UdB9Hby5yK8NnMOXc/4e6PhrcHgT1Ac8wxubsPhXcLw5+MfeZylSQ1A0dn3W/jxW9slHNybbEx/TbBt+64LRi3mTUD/xG4neSI8n6/BKgxs5+Y2SNm9vacRTe/KHF/nuCb83HgKeB97j6Tm/CWJYmfy8Qzsz82s6PAW4GPxh3PHL9FMtqppNDf+BKY2RbgZQSVm1iZWb6ZPU7whf9H7p6xmAoydaEFWJrH5mZ6Uc7Jtcgxmdl/IEiSrs5qRNFEifvTwIfcfToobiRClLgLgEuBVwOlwL+b2YPu/my2gzuDKHG/DngceBVwFvAjM7t/TtUhiZL4uYydmf0YWJ/m0B+4+z+7+x8Af2Bmvw+8B/hY3DGF5/wBQQXzK9mOJ2pMCaC/8UUyswqCXoj3J6ENc/dp4OJwrN0/mdkF7p6RsVy5SpLagE2z7rcQfKNe7Dm5FikmM3sp8LfA9e7enaPYziRK3DuBr4YJUj1wg5lNufu3cxJhelH/TrrcfRgYNrP7gIsI+sbjEiXudwB/6kHH+QEzex44B/hFbkJcsiR+LmPn7q+JeOo/AN8lB0nSQjGZ2W8ArwdeHf4dZt0i3qc46W98EcyskCBB+oq7fyvueGZz9z4z+wlwHZCRJClX3W0PA9vNbKuZFQE3A3fPOedu4O3hbJorgX53P5Gj+OazYNxm1gp8C7gl5mrGbAvG7e5b3X2Lu28BvgH8bswJEkT7O/ln4BozKzCzMuAKgn7xOEWJ+whB9QszayIYsHowp1EuTRI/l4lmZttn3X0DsDeuWFLM7DrgQ8Ab3H0k7ngSJsrnVwhmuwJ3Anvc/VNxxwNgZg2p2ZpmVgq8hgx+5nJSSXL3KTN7D/ADgpkEX3D33WZ2W3j8doIZVjcAB4ARgm/esYoY90eBOuAvw6rMlMe88V/EuBMnStzuvsfMvg88CcwAf5upsupSRXy/PwF80cyeIijvf8jdY99F28zuAq4F6s2sjaDiUQjJ/VyuAH9qZjsI/j4PA7fFHA8EY+KKCbp5AR5091jjMrP/CHyOYLbnd83scXd/Xa7jmO/zm+s45kr32XT3O+ONilcAtwBPhWOAAD7i7vfEFxIbgL8zs3yCws/X3f07mbq4VtwWERERSUMrbouIiIikoSRJREREJA0lSSIiIiJpKEkSERERSUNJkoiIiEgaSpJERERE0lCSJCIiIpKGkiQRERGRNP5/ZEnMj8DGAgIAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 720x216 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"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_sensory = np.linspace(0., 1, 1000, True)\n",
"p = ss.norm(.8, .05).pdf(x_sensory)\n",
"\n",
"plt.subplot(121)\n",
"plt.title(\"Sensory space\")\n",
"plt.plot(x_sensory, p)\n",
"\n",
"plt.subplot(122)\n",
"plt.title('Stimulus space')\n",
"plt.plot(*to_stimulus(x_sensory, p))\n",
"\n",
"plt.gcf().set_size_inches(10, 3)\n",
"sns.despine()\n",
"\n",
"plt.figure()\n",
"plt.title('Overlap original pdf and back-and-forth-transformed pdf')\n",
"\n",
"plt.plot(*to_sensory(*to_stimulus(x_sensory, p)), lw=3, label='Transformed back-and-forth')\n",
"plt.plot(x_sensory, p, ls='--', lw=3, label='Original')\n",
"plt.legend()\n",
"sns.despine()"
]
},
{
"cell_type": "markdown",
"id": "d7b60878",
"metadata": {},
"source": [
"# Play around"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "93c8b1bc",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x216 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x_sensory = np.linspace(0., 1, 100, True)\n",
"\n",
"\n",
"for mu in np.arange(.2, 1., .2):\n",
" p = ss.norm(mu, .1).pdf(x_sensory)\n",
" plt.subplot(121)\n",
" plt.title('Sensory space')\n",
" plt.plot(x_sensory, p, alpha=.25, c='k')\n",
"\n",
" plt.subplot(122)\n",
" plt.title('Stimulus space')\n",
" plt.plot(*to_stimulus(x_sensory, p), alpha=.25, c='k')\n",
"\n",
"plt.gcf().set_size_inches(10, 3)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "6abe8034",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x216 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x_stimulus = np.linspace(-3., 3., 100, True)\n",
"\n",
"\n",
"for mu in np.arange(-1.5, 2., .5):\n",
" p = ss.norm(mu, .5).pdf(x_stimulus)\n",
" plt.subplot(121)\n",
" plt.title('Sensory space')\n",
" plt.plot(*to_sensory(x_stimulus, p), alpha=.25, c='k')\n",
" plt.ylim(0, 10)\n",
"\n",
" plt.subplot(122)\n",
" plt.title('Stimulus space')\n",
" plt.plot(x_stimulus, p, alpha=.25, c='k')\n",
"\n",
"\n",
"plt.gcf().set_size_inches(10, 3)"
]
},
{
"cell_type": "markdown",
"id": "21ec42ec",
"metadata": {},
"source": [
"# Gabor prior"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "33d16de8",
"metadata": {},
"outputs": [],
"source": [
"from scipy import interpolate, integrate"
]
},
{
"cell_type": "code",
"execution_count": 632,
"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": "code",
"execution_count": 633,
"id": "5a706763",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fc142189f70>]"
]
},
"execution_count": 633,
"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_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": "code",
"execution_count": 636,
"id": "9c4417c7",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fc14513ff40>]"
]
},
"execution_count": 636,
"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_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": "code",
"execution_count": 634,
"id": "e28fce3b",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fc1458a8f70>]"
]
},
"execution_count": 634,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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oIgGQ8+GL9E+fwGZry5pz55A4OMXrSBKBVOgih8D5qsh4aQLJq16goPEA2l/1Dr07dvU6lkQoFbrIQaoo38aiiReRvP0bMtqMYsi1L9G0WXOvY0kEU6GLHITS1UVsnXousZVF/ND7VlIvukf3+BTPqdBFDtBP+em0eGccnV05eSdOYvip47yOJAKo0EUOyKLv/0W3z66mnGasO28OcYN0lUQJHvo/ooif5n0whd6fXsbGqBh8V3zKsSpzCTLaQxfxQ8abD5C05EkWNR5El+tm0uYoXfJfgo8KXWQ/fFVVZE3+PUnrp5Hd4kQG3jCdps1aeB1LpE4qdJF92LO7ggX/vICkbV+SFjOWxGsn68bNEtT0p1OkDjt3bGPpP88mviKTH3rdSOolD+i0RAl6KnSRWsq2bGT1s2cwaPci0gffy/Bzb/M6kohfVOgiNWwqWc2m58+gd+VP5CQ9QfKvr/I6kojfVOgi1datWsaul86ka9V6Fp00iWEnn+91JJEDokIXAVYunU+jN86hndvO8lGvMTT1dK8jiRwwFbpEvML5P9D2vQuIxse6s9+hf+yJXkcSOSj62F4i2vxvZ9NpxjlUEU3ZuDn0VplLCFOhS8TKnDOJfl9cTml0B6Ku/pwe/eK8jiRySHTIRSKO8/lIe/0+UoueJr/JELr9fiat28Z4HUvkkKnQJaJUVVWRMekaUkvfYV6rkxl4/Zs0aaqbUkh4UKFLxKjYuYP8Zy8gdfs3ZHQcR8L4iURFR3sdSyRgVOgSEUrXr2LDlPMYtqeA9D63kXzRvV5HEgk4FbqEvcIFabSccRE9XRk5qU+RPOpyryOJNAgVuoS1eZ++Tt/vb2OHtWD12e8Rp9MSJYyp0CUsOZ+PtFf/RPLyiRQ26sNRV75L7849vI4l0qBU6BJ2KnbuYMFzl5Fa9hnzWv+SAde9RtPmLb2OJdLgVOgSVtasWML21y4isXIJaT2vI/nSv+g65hIxVOgSNvK+nkH3r2+mtask9/hnSPnVJV5HEjmsVOgS8nxVVaS9cicpKyazIro7jS54ndg+Q7yOJXLYqdAlpG3ZsJ4VUy5ieEUmWW1HMvDqqTRr2drrWCKe8OvgopmNMrPFZlZoZnfsZ1yimVWZ2bmBiyhStyU537HzmePpv3MeGQP+xLCb31aZS0Srdw/dzKKBZ4GRQDGQaWZznHOL6hj3GPBJQwQV+Q9fVRXpbz3EsKX/YJO1ZcWY90iKP8nrWCKe8+eQSxJQ6JwrAjCzacAYYFGtcTcCM4DEgCYUqWHD2pWseeVyUiuyyG1xPL2ueJFOMZ29jiUSFPw55NIFWFVjurj6sf8ysy7A2cCk/b2QmY03sywzyyotLT3QrBLhcr+Yjj1/AsftzCNz4J8Z+of3aaMyF/kvf/bQrY7HXK3pp4AJzrkqs7qGVz/JucnAZICEhITaryFSp4qdO8iZejOppe9QFN2T7efNIrFfvNexRIKOP4VeDHSrMd0VWFNrTAIwrbrMY4DRZlbpnJsViJASuQrnzyVq1rWk+n4ivcP5xF7xFE2atvA6lkhQ8qfQM4E+ZtYLWA2MAy6sOcA51+s/v5vZy8D7KnM5FLt37SLr9T+RuPJFtlor5o94geSTz/c6lkhQq7fQnXOVZnYDe89eiQamOufyzeza6vn7PW4ucqAK58+F2b9neFUR2W1G0ueyiQxp18HrWCJBz68vFjnnPgQ+rPVYnUXunPvdoceSSFRzr7zMWpF3/ESGjbzI61giIUPfFJWgsDT3O+xfNzO8ahnZbU6l92XPMrRdJ69jiYQUFbp4atvWTeS/PoHEknfYYm3IHf4Mw3RRLZGDokIXTzifj3mfvka3tPtIcpvJaj+Gfhc/SWzbGK+jiYQsFbocdmt+WkzJ9JsYtjONouiebBn9IknDful1LJGQp0KXw6ZiZzk5bz/M0KIXaAuk97mVYeffyRGNm3gdTSQsqNClwTmfj5wv3qLDDw+Q6taR22I4ncY9TXL347yOJhJWVOjSoFYUZLN11u3E78pmRVQ3Fp70ErEjzvE6lkhYUqFLg9i6qZSCt+4ioeRdjrSmpPe9nWFjb9fhFZEGpEKXgNpVUU7OjCfot/R5Et0OsmLGcNy4R0huf7TX0UTCngpdAsJXVcW8D6dw9LwnSHElLGg6jBa/+QvJg1K8jiYSMVTocsgWfDebZl/fT0LVMpZFH8PCEX9l8C/O8jqWSMRRoctBW5r7HTs/vo8hFVmspT3Zwx4lbvR4oqKjvY4mEpFU6HLAli/KZPP79xFf/m+20JK03rcSd+7tdNZ1ykU8pUIXv60qXMD62fcRX/YF7WlKWo/xDBx7JyltjvI6moigQhc/rFn+I8VzHiB+00fEcAQZXS6h/9i7SdHVEEWCigpd9ml1UQGr5zxA3OZPiMHI7jiWY8+5h5RO3b2OJiJ1UKHLzxQvy2fNvx4ifvPHxBDNvA5n0+usP5HcpVf9TxYRz6jQ5b9WLs1j3ft/IX7Lp8QQTVbHc+l91t0kH93T62gi4gcVulC0MJ1NnzxKXNlXdOAIsjqeR++z7yalcw+vo4nIAVChR7DF876h/PNHiSv/gY6uKZldLqHPmD+S0rGb19FE5CCo0COMc46CtI+p/OavDKnIpowWpHW7mv5n3U5Ku45exxORQ6BCjxDO52P+1zNoPPfvDNiTzyZaM/eYmxg05ladRy4SJlToYa6qspLcT1+jbfY/GFpVxDpiSO93B0POuIHUFq28jiciAaRCD1N7du8i54PJdFrwHMN8q1llR5Mx9CFiR19NpyZNvY4nIg1AhR5mKsq3k/evZ+hRMIUkSlkWfQzZSU8R+6tL6HaENrdIONPf8DCxvWwTC2f9nd5Fr5LMFgoaDWD98EcYMmIsFhXldTwROQxU6CFu68b1FMx6nAGr3iKFHcxvOoySEbfTP/k0FblIhFGhh6hN64tZPPsxhqx+mxSrIKf58bQ4dQJD4kd4HU1EPKJCDzEb1qygcPZfGLruPZLZw7zWJ3PU6XcSNyDJ62gi4jEVeogoXV1E0ayHiS2ZTQJV5LQdSYfRd5HQN9braCISJPwqdDMbBTwNRANTnHOP1pp/ETChenI7cJ1zLi+QQSPVhjUrWDbzAWJLZhOPj5yjRtHljLtJPGag19FEJMjUW+hmFg08C4wEioFMM5vjnFtUY9hyYIRzbrOZnQ5MBpIbInCk2LBuFYUzHyJ23QyGUcW8o06n65h7SerZ1+toIhKk/NlDTwIKnXNFAGY2DRgD/LfQnXM/1BifBnQNZMhIsrl0LYtnPMjQte+QQCU5R57G0Wf+mSTtkYtIPfwp9C7AqhrTxex/7/tK4KO6ZpjZeGA8QPfuuutNTdvLNrPg3UcYvOJVEqlgXtuRdDrjHhJ7D/Y6moiECH8K3ep4zNU50Oxk9hb6CXXNd85NZu/hGBISEup8jUizq6Kc3Jl/o8/i50mljHktf0G7M+4nsV+819FEJMT4U+jFQM0LZHcF1tQeZGZDgCnA6c65jYGJF76qKiuZ9/5zdMt9mmRKWdgkltLTHiBe55GLyEHyp9AzgT5m1gtYDYwDLqw5wMy6A+8BlzjnlgQ8ZZhZ8O17tPz6PhJ9K1ga3YfSEU8y+BdjvI4lIiGu3kJ3zlWa2Q3AJ+w9bXGqcy7fzK6tnj8JuAdoB0w0M4BK51xCw8UOTSt+zGbrrAkMqchktXUkO+nvxI/6nb6iLyIBYc55cyg7ISHBZWVlebLsw21TyWqWTr+bYRtmU05T8vtcQ/y5f6RJ0+ZeRxOREGNm2fvaYdY3RRvQnt0VZL/9KAOXTmIYu8hqfzbHnf8QqR2O9jqaiIQhFXoDyf9uNi2/uosUXzG5zZM58qzHSOkb53UsEQljKvQAK1m9nFXTbmXYtq9YbR3JPfF5Yk8Z53UsEYkAKvQA2bO7guzpf2FI4SQG4mNuj/HEXXAfXZq18DqaiEQIFXoA/JjxGU0/vpUU3ypymqfS4bynSD2mn9exRCTCqNAPwfayzeS/ehuJpTNZbzHknvA8cafq8IqIeEOFfpDyvnybjt/eSaLbSEaH8xh06V/p3Kqt17FEJIKp0A/QppLVFL1+Ewlln/NTVDeWnP4uKYmneh1LRESFfiDmffQSvdL/zBBXztzu44m/6H59OUhEgoYK3Q9bN29g6UvXklD2GUuij2PL2OdIHaArG4hIcFGh12Phv+fQ/vNbiHWb+aH7eBIveYhGjZt4HUtE5GdU6PtQUb6d3JdvI6VkOivtaIrOnMnw+JO8jiUisk8q9DosW5BG9MyrSPGtIi1mLEMuf4rmLVp7HUtEZL9U6DU4n4+Md58gNv9xyqwl80+aSspJY72OJSLiFxV6tW1bNrJkyhUkb/+avGaJdLviFYZ06OJ1LBERv6nQgcLc72g6+yqG+kqYe+yNJF90P1HR0V7HEhE5IBFd6M7nI+Ptx4greILN1oalo6eTmvwrr2OJiByUiC30Hdu2sPj5S0ne/g25zVPoeeUr9I/p5HUsEZGDFpGFvroon92vX8DQqpXM7X0zyRfeR1S07uspIqEt4gp9/tcz6PH1jTiMRae8TOovzvI6kohIQERMoTufj/TX7yVx2T9ZEd2DJhdPZ7CuWS4iYSQiCr18+1YKnr+MlG1fkdX6ZAZc8wrNW7bxOpaISECFfaGvL17G9pfGElv5E3OPvYmUi+/HonS8XETCT1gXemHe97SeeTEd3U4WnjSF1JPP9TqSiEiDCdtCz/tyGn2+uYkya0XJb+cwdECS15FERBpUWB57SJ/+KIO+uZbVR3QjevyXHKMyF5EIEFZ76FWVlWS+cD0p66eR02I4fX8/TR9+ikjECJtCryjfTsEz55NS/j1pHc4ncfxzRB8RNqsnIlKvsGi8rZs3sHriGIbuziet3wRSLrjL60giIoddyBf6hnUr2frCmfSuXElO8pOkjL7S60giIp4I6UJfs/xHfK+OobNvM4t/OYVhI87xOpKIiGf8OsvFzEaZ2WIzKzSzO+qYb2b2j+r5880sPvBR/9fy/AwavTKKVm4bK894i8EqcxGJcPUWuplFA88CpwMDgAvMbECtYacDfap/xgPPBTjn//gx4zPavXMWDmPzb+fQL+GUhlyciEhI8GcPPQkodM4VOed2A9OAMbXGjAFedXulAW3NrHOAswKw4NvZ9PjgQrZaGyp/9zE9+yc0xGJEREKOP4XeBVhVY7q4+rEDHYOZjTezLDPLKi0tPdCsALTp1IOlzQbT7JpPObpn34N6DRGRcOTPh6JWx2PuIMbgnJsMTAZISEj42Xx/dD8ulu53fHkwTxURCWv+7KEXA91qTHcF1hzEGBERaUD+FHom0MfMeplZY2AcMKfWmDnApdVnu6QAW51zawOcVURE9qPeQy7OuUozuwH4BIgGpjrn8s3s2ur5k4APgdFAIVAOXN5wkUVEpC5+fbHIOfche0u75mOTavzugOsDG01ERA5EWF4+V0QkEqnQRUTChApdRCRMqNBFRMKE7f0804MFm5UCKw7y6THAhgDG8UKor0Oo54fQX4dQzw+hvw5e5O/hnGtf1wzPCv1QmFmWcy6kL+IS6usQ6vkh9Nch1PND6K9DsOXXIRcRkTChQhcRCROhWuiTvQ4QAKG+DqGeH0J/HUI9P4T+OgRV/pA8hi4iIj8XqnvoIiJSiwpdRCRMBHWhB+PNqQ+EH/lPMrOtZpZb/XOPFzn3xcymmlmJmS3cx/ygfv/Br3UI9m3Qzcy+MrMCM8s3s5vrGBO028HP/MG+DZqaWYaZ5VWvw/11jAmObeCcC8of9l6qdxlwDNAYyAMG1BozGviIvXdMSgHSvc59gPlPAt73Out+1uEXQDywcB/zg/b9P4B1CPZt0BmIr/69FbAkxP4e+JM/2LeBAS2rf28EpAMpwbgNgnkPPahuTn0Q/Mkf1Jxz3wKb9jMkmN9/wK91CGrOubXOuXnVv28DCvj5/XqDdjv4mT+oVb+v26snG1X/1D6bJCi2QTAXesBuTu0Rf7OlVv9X7iMzG3h4ogVMML//ByIktoGZ9QTi2LuHWFNIbIf95Icg3wZmFm1muUAJ8JlzLii3gV83uPBIwG5O7RF/ss1j73UZtpvZaGAW0KehgwVQML///gqJbWBmLYEZwC3OubLas+t4SlBth3ryB/02cM5VAbFm1haYaWaDnHM1P5cJim0QzHvooX5z6nqzOefK/vNfObf3rlCNzCzm8EU8ZMH8/vslFLaBmTVibxm+4Zx7r44hQb0d6ssfCtvgP5xzW4CvgVG1ZgXFNgjmQg/1m1PXm9/MOpmZVf+exN7tsfGwJz14wfz++yXYt0F1theBAufc3/YxLGi3gz/5Q2AbtK/eM8fMmgGnAj/WGhYU2yBoD7m4EL85tZ/5zwWuM7NKYCcwzlV/ZB4MzOwt9p6BEGNmxcC97P1AKOjf///wYx2CehsAxwOXAAuqj+EC3AV0h5DYDv7kD/Zt0Bl4xcyi2fuPzdvOufeDsYv01X8RkTARzIdcRETkAKjQRUTChApdRCRMqNBFRMKECl1EJEyo0EVEwoQKXUQkTPw/ZKgdHYyGvI8AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(to_stimulus_(x_sensory), x_sensory)\n",
"plt.plot(x_stimulus, to_sensory_(x_stimulus))"
]
},
{
"cell_type": "code",
"execution_count": 622,
"id": "9f230323",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fc1458a4850>]"
]
},
"execution_count": 622,
"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_sensory = np.linspace(0, 1)\n",
"\n",
"x_stimulus, p_stimulus = to_stimulus(x_sensory, np.ones(50))\n",
"plt.plot(x_stimulus, p_stimulus)\n",
"\n",
"plt.plot(x_stimulus, prior(x_stimulus))"
]
},
{
"cell_type": "code",
"execution_count": 582,
"id": "6f776966",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fc17cb87dc0>]"
]
},
"execution_count": 582,
"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_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)"
]
},
{
"cell_type": "code",
"execution_count": 574,
"id": "71dabe3e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fc15f6eabb0>]"
]
},
"execution_count": 574,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Prlyjo2+YsjAv24B/ib4ZWDrp6yVAyy3HbAVeEpGLwFPAD0Tkc34+NyyVFvlmiOsyuMi1v6aVVdkLKMxeYHUon7JxSSp5qQm6+iaCVda1EesUdq4N3d4Gc+VPoj8OrBKR5SISBzwN7Jl8gDFmuTGmwBhTALwCfNMY80t/nhuushcmcFv+Iq3TR6jO/mGOX+wOu7LNBBGhrMTFOx930j/ssTocNUsTQ/J2FIZ2b4O5mjHRG2M8wHP4VtM0AC8bY+pE5FkReXYuz51/2KFRXuKivrWXy106hCrSVNW14TVQHkarbW5VUZLLiMfLm2faZz5YhZWG1j4udw+G/WqbCX4t/DTG7DfGrDbGrDTG/Pn4Y88bY269+Yox5neNMa981nMjxUTtTcs3kedgnZtlGUmsy02xOpRp3bZsEZkL4jmo5ZuIc7DOjUPgoSLrhuTNRviu8A8DS9N9Q6g00UeWnhujHG3qpLzYhUh4zh4BcDqE0uIcDjd2MDSqO5tFkqo6N1sL0slcEG91KH7RRD+D8hIXJy9fo71Xh1BFisON7Xi8htII+FhdVuxicGRMdzaLIBc6Bzjj7ouYsg1oop9ReYkLo12MEaWyzk1WSjybl6ZZHcqMtq/IICU+Rj81RpCJv6uyML3RPxVN9DNYlb2A5ZnJ+osYIYZGxzjc2MGuopyw3OnnVnExDnauzeb1hnbGdLZSRDhY62b94lQWp1k/JM9fmuhnICKUFbt471yXdjFGgCNNnQyOjEVEE8uEsmIX3QMjnNDR2GHP3TPEqSvXw2Lk9WxoovdDeYkLj9fwxhkt34S7yjo3KfExbF+RYXUofrtvTRZxMQ4q6/T9Fe6q6sfLNhF0IQGa6P2yYXEquakJ2jwV5sa8htcb2tm5Npu4mMh5ay+Ij+Huwkyq6t06WynMHax1Uxim3dafJXJ+GyzkcPjKN2+f7WBwRLsYw9WJi910D4xE3NUWQFlxDs3XblDf2mt1KGoa3QMjfHChO6JW20zQRO+n0uIchj1e3m60drKmml5lXRtxMQ7uW2P9ULzZemhdDg5Byzdh7PWGNsa8JiIvJDTR+2lbQTqLkmJ19U2YMsZQVe/m7sJMFsTHWB3OrGUsiGfrsnSq9P0Vtqrq3CxOS6Rk8UKrQ5k1TfR+inE62FWUwxsN7Yx4vFaHo25R39pL87UblBVHRkv6VEqLczjj7tPZSmGof9jDOx93Uhbm3dbT0UQ/C2XFLvqGPRw9p12M4aayrs03e2Rd5CZ6na0Uvg43+i7wIvVCQhP9LOwozCQpzqldsmGoqs7N1mXpZETI7JGpLE1PYl3uwptL+FT4qKprIz05jq0F6VaHMiea6GchIdbJ/WuyOFTfhle7GMPG5a5Bzrj7KI3Qq63JyopzOHHJt3ORCg8jHi9vnWnnoXXZOCOg23oqmuhnqazYRUffMKear1sdihp3c/ZIBK6GuFVZsW+2km4xGD7eP99F37Anot9fmuhn6f412cQ4hCpdBhc2qurdrMtdyNL0JKtDmbe1rhSWpifq6pswUlXvJinOyY7CTKtDmTNN9LOUmhjL9pUZWkcNEx19w5y4dC1ib5LdSkQoK3JxpKmLviGdrWQ1r9dwqL6N+1ZnkRDrtDqcOdNEPwelRTmc7xigqb3f6lCi3usNbRhjj7LNhLISFyNjXg5rc57lqq/20NY7HPH3fzTRz8HE9mF6VW+9qjo3+elJrHWF75aBs7UlfxGZC+J0dVcYqKpz43QID6zRRB91clMT2bgkVev0FusbGuVIUxelRTkR2cQyHadDeGhdDm+daWfYo1sMWqmqvo07V6STmhRrdSjzool+jkqLXZy6cp023WLQMocbOxgZ80bUTj/+Kit20T/s4ei5LqtDiVrnOvppau+ntCjy31+a6OeodLx8c0g/Xlumqr6NzAVxbMlfZHUoAXdXYQbJcU791Gihid/tXUWRXbYBTfRzVji+xaDWUa0x7Bkbb2LJidgmls8SH+Pk/rXZHKpv0y0GLVJV59syMC+Ctgycjib6ORIRSotyeO9cJ726DC7k3jvXRf+wJ+JXQ3yWsmIXnf3DnLpyzepQok577xAfXbl+85N7pNNEPw+lxTmMjhldBmeBqvo2kuOc3LUycptYZnL/mixindqcZ4XXG9oxxncvzg400c/D5qWLyFwQr12MITbRxHL/muyIbmKZycKEWLavzKSqvk23GAyxqno3yzKSWJ0TWVsGTkcT/Tw4HMKuohwON3boMrgQOt18nY6+YVvcJJtJaVEOFzoHONehzXmh0jc0ytGmroidPT8VTfTzVFqco8vgQqyqvo0Yh7BzTbbVoQTdxD9musVg6Ews27VLfR400c/bXSt1GVyoVdW5uXNFRsQ3sfgjZ2ECG5em6equEJpYtrvZRst2NdHP0+RlcDqjPvia2vs51zFg69U2tyotyuH0leu4e7Q5L9jsumxXE30AlBbl0Nk/zEdXrlsdiu1NNLFE8paBszUxmfOQzqgPuvfPd9ty2a4m+gDYuTbbtwxOh5wF3aF6+zSx+Gtllq85T7uwg6+qzjd73m7LdjXRB8DChFjuXJFBVZ0ugwsmuzWx+Eub80LjN8t2I3v2/FT8SvQiUi4ijSLSJCLfneL7j4tItYicEpETInL3pO9dFJGaie8FMvhwUlrs0mVwQWa3JpbZ0Oa84DvdfJ32vmFbDDG71YyJXkScwPeBCqAI+KKIFN1y2BvARmPMJuDrwIu3fH+nMWaTMWbr/EMOT7vW6TK4YKuq982et0sTy2xs0ua8oLPzsl1/rui3AU3GmPPGmBHgJeDxyQcYY/rNb2oWyUDU1S9cqboMLpj6hz0cteHseX85HcKuomxtzgsiOy/b9SfRLwauTPq6efyxTxCRJ0TkDLAP31X9BANUichJEXlmuhcRkWfGyz4nOjoi8+OpLoMLnrcnmliisGwzYVeRrznv/fPdVodiO3ZftutPop/q8ulTV+zGmF8YY9YCnwP+bNK3dhhjtuAr/XxLRO6d6kWMMS8YY7YaY7ZmZWX5EVb40WVwwVNV7yY9OY7bltmniWW27lqZSVKcU8s3QWD3Zbv+JPpmYOmkr5cALdMdbIx5B1gpIpnjX7eM/2878At8pSBbWpm1gBWZyfqLGGAjHi9vnmnnwbXZtmpima2EWCf3r8nS5rwgqKp3s2GJfZft+pPojwOrRGS5iMQBTwN7Jh8gIoUyXjgVkS1AHNAlIskikjL+eDJQCtQG8gTCiYiwqziH98510XNDl8EFygcXuugb8kR12WZCaZGL9r5hTjdftzoU22jvHeKjy/ZetjtjojfGeIDngEqgAXjZGFMnIs+KyLPjhz0J1IrIKXwrdL4wfnM2B3hXRE4Dx4B9xpiDQTiPsFFa5MLjNRxubLc6FNs4VN9GYqyTe1bZq4llLnau8X2q0eapwJkotdr5QiLGn4OMMfuB/bc89vykP38P+N4UzzsPbJxnjBFl89I03zK4+jYe3/Spe9ZqlowxVNW1cc+qTNs1scxFalIsd65Ip6q+jT8uX2t1OLZQVddGQUYSq7Ltu2xXO2MD7OaM+jPtugwuAGqu9uDuHbL11dZslRa5xleJaHPefPUNjXL0XCelNpo9PxVN9EFQWpzDwMiYzqgPgKq6NhwCD661XxPLXE3MqNfyzfwdbuxgdMzYuj4PmuiDQmfUB05VvZtty9NZlBxndShhIy8tkfWLU3V1VwDYcfb8VDTRB4HOqA+Mi50DnG3rZ5cNZ4/M166iHD66cp32Xm3Omyu7zp6fiib6INEZ9fM3MfbZ7h+r56Ks2IUxvkFvam7sOnt+Kprog0Rn1M9fZV0bRbkLWZqeZHUoYWd1zgKWZSRRqeWbObPr7PmpaKIPEp1RPz/tfUN8ePkaZbraZkoiQlmxi6M6o35O7Dx7fiqa6INIZ9TP3ev1vtnzZSX2/1g9V2U6o37O7Dx7fiqa6INIZ9TPXWWdb/b8mpwUq0MJW5vHZ9Rr+Wb27Dx7fiqa6INIZ9TPzUQTS1lxdM6e95c2582dnWfPT0UTfZDpjPrZe2uiiUXr8zO62ZzXpM15/rL77PmpaKIPMp1RP3tVdW4yF8SxxeZNLIFw18oMFsTH6OquWbD77PmpaKIPMp1RPzvDnjEON3ZERRNLIMTH/GZG/Zg25/nF7rPnp6KJPsh0Rv3sHG3qon/Yo8sqZ6Gs2EVn/wgfXr5mdShhb2L2/K4oupoHTfQhUVbsm1H/1hntYpxJVb2b5DgndxVmWB1KxLh/TRZxTod+avRD5XjZprwkui4kNNGHwKYlaWSnxHOwVn8RP8vYRBPL2mziY+zfxBIoKQmx3FWYQaU2582ostbNisxkCm08e34qmuhDwOHwdTEePtvOjRFdBjedjy5fo7N/RMs2c1BW7OJy9yCNbX1WhxK2rg+O8P75LspK7D17fiqa6EOkvMTF0KiXdz7WLsbpVNa5iXUK96/JsjqUiPPQuhxEoLJWV3dN542GdjxeQ3kUXkhoog+RbcvTSUuKpVLLN1MyxlBV38ZdKzNZmBAdTSyBlJUSz235i3SZ5Wc4WOcmNzWBDUtSrQ4l5DTRh0is08FD63J4vaGNEY/X6nDCTmNbH5e6BrVsMw9lxS7qWnq50j1odShhZ2DYwztnOyiz+ZaB09FEH0LlxS56hzy8f167GG9VWduGCDxUFB2zR4JhotNTR2582ttnOxj2eKNutc0ETfQhdPeqTJLinBzUZXCfUlXvZkv+IrJTEqwOJWIty0hmrStFl1lOobLOTXpyHLcXpFsdiiU00YdQQqyTnWuyqarTLsbJrnQPUtfSqztJBUBpUQ7HL3bT1T9sdShhY9gzxpsN7eyK4m5rTfQhVlbiorN/WLsYJ5koNegQs/krLXbhNb4VJsrn6Lku+oY9UVu2AU30IbdzvItRV9/8xsHaVta6UliemWx1KBGvOG8hS9MTOVDbanUoYaOy1s2C+Jio7rbWRB9iKQmx3L0qk4N1bu1iBNp6hzhx6RoPr8+1OhRbEBEqSnJ5t6lTZyvxm27rB6K821oTvQXKi100X7tBXUuv1aFYrrLOjTFQEcUfqwOtosTF6JjhDR2NzYmL3XQNjER12QY00VvioaIcHIJuAQccqHFTmL2AVbplYMBsWppGXmoCB7Q8yME6N/ExDu5bHd3d1proLZCeHMe25elRP+Sss3+YDy508XCUX20FmohQVuLi7bMd9A97rA7HMsYYKmvd3LMqi+T4GKvDsZQmeouUF7v4uL2fpvZ+q0OxTFVdG14D5SVanw+0h9fnMuLx8mYUj8auudpDS89Q1JdtQBO9ZSaWEkZz+eZAbSsFGUmsy9WyTaDdlr9ofDR29K6+OVjrxukQHlqn3daa6C2Sl5bIxqVpUdvFeG1ghKPnuqhYnxuVs0eCbWI09ltnOhgcic7yTWWdm+0rMkhLirM6FMtpordQebGL0809XL1+w+pQQu5Qg687WFfbBE/Fehc3Rsd4uzH6RmN/3NbHuY4ByvT9BWiit9REkjtQE30frw/UtLI4LZH1i6NvZGyobCtIJz05jv1ReNN/X00rIlCmYzUAPxO9iJSLSKOINInId6f4/uMiUi0ip0TkhIjc7e9zo1lBZjLFeQvZWx1dib53aJR3mzp5eH10jowNlRing7LiHN5saGNoNLp2NttX3cq2gnSyF+qQPPAj0YuIE/g+UAEUAV8UkaJbDnsD2GiM2QR8HXhxFs+Nars35HHqyvWomiH+RkMbo2NGV9uEQEVJLgMjY/z6406rQwmZRncfH7f3s3tjntWhhA1/rui3AU3GmPPGmBHgJeDxyQcYY/rNb/r5kwHj73Oj3SPjrf/7o6h8s7/GjWthApuXplkdiu1tX5lBamJsVJUH91W34BCicsvA6fiT6BcDVyZ93Tz+2CeIyBMicgbYh++q3u/njj//mfGyz4mOjui5eZSfkcSGJansi5JfxP5hD2+f7aC8xIUjSkfGhlKs08GuohwORcnOZsYY9la3cueKDLJS4q0OJ2z4k+in+m381DQuY8wvjDFrgc8Bfzab544//wVjzFZjzNasrOhqV969IZfq5h4udQ1YHUrQvXWmnRGPV1fbhNDD6130DXk4cs7+5ZuG1j7Odw6we4OWbSbzJ9E3A0snfb0EaJnuYGPMO8BKEcmc7XOj1cTkxmi4qj9Q20rmgni2RulOP1bYUZhJSnxMVJRv9tW04HSIdsPewp9EfxxYJSLLRSQOeBrYM/kAESmU8eUTIrIFiAO6/HmugiWLkticn8Y+m6++uTEyxltnOigvid6dfqwQH+PkwXXZVNW3MTpm3/LNRNnmrpUZpCdrk9RkMyZ6Y4wHeA6oBBqAl40xdSLyrIg8O37Yk0CtiJzCt8rmC8ZnyucG4Twi3iPrc6lr6eVCp33LN4cb27kxOkaFrrYJufKSXK4Pjtp6Y/q6ll4udQ2ye4O+v27l1zp6Y8x+Y8xqY8xKY8yfjz/2vDHm+fE/f88YU2yM2WSM2W6Mefeznqs+7Wb5ptq+la09p1vIXBDPHcu1bBNq96/JIiU+hj2n7Pv+eq26hZjx0Q/qk7QzNkzkpSWyddki2zZP9Q6N8saZdnZvyCXGqW+7UEuIdVJW4uJgrduWzVPGGPZVt3L3qkydbTMF/Y0LI49syOWMu8+Wo4sra92MeLw8vklXQ1jl8U159A17ONxov9HF1c09NF+7cbMvRX2SJvow8vD6XESw5U3ZPadbyE9PYpM2SVlm+4oMMhfE8ysblm/2VrcQ6xRKi7RsMxVN9GEkZ2ECtxeks6/GXr+I7X1DHGnq5PFNeTrbxkIxTge7N+Tyxpl2eofss3H4RNnm3lVZpCbFWh1OWNJEH2Z2b8jlbFs/Z9v6rA4lYPZVt+I1aNkmDDy+KY8Rj5dKG020/PDydVp6hnhEV9tMSxN9mCkvceEQbHVT9lenWijKXUhhtu4kZbVNS9PIT09iz2n7fGrcV91KXIxv1IOamib6MJOdksAdyzPYW93Cb+bERa5LXQOcunJdr+bDhIjw+KY8jjR10t43ZHU48+b1GvbXtHLf6ixSErRsMx1N9GHosU15nO8YoLq5x+pQ5m1i3fajOjI2bDy+KQ+vscdN//fOd+HuHeIxfX99Jk30YeiRDbnExzh49cNmq0OZF2MMvzx1lW3L08lLS7Q6HDWuMDuFotyFtlh98+rJZlISYrRsMwNN9GFoYUIspcUu9pxuYdgTuc0t9a29nOsY4HObppxMrSz0uc2+DW8ieWJq/7CHA7Vudm/IIyHWaXU4YU0TfZh6cstirg+O8taZyG1u2XPKt7ZZRxKHn0c35iFCRI9EOFDTyo3RMZ66TS8kZqKJPkzdsyqL7JR4XjkZmeUbr9ew53QL963OYpFOEgw7uamJbCtI55enrkbsTf9XTjazPDOZLfmLrA4l7GmiD1NOh/DE5sUcbuygs3/Y6nBm7djFblp7hnhMyzZh6/FNiznXMUBdS6/Voczale5BPrjQzT/bvFib8PygiT6MPXnbEjxeE5E3zX51qoWkOCcPrcu2OhQ1jYoSF7FOicg19T//8CoAT2zRCwl/aKIPY6tzUtiwJJVXI6x8MzQ6xv6aVkqLckiKi7E6HDWNRclx3Lc6i1+duoongjYkMcbw84+a2b4igyWLkqwOJyJoog9zT25ZQn1rLw2tkfPx+mCtm54bo/zW1qUzH6ws9fmtS2nrHeZwY4fVofjtxKVrXOoa5MnbllgdSsTQRB/mHtuYR6xTIuqq/qfHLlOQkcSdKzKsDkXN4IG12WSnxPOzY5etDsVvr55sJinOqau5ZkETfZhblBzHA2uz+eWploj4eN3U3s+xC908vS0fh+4LG/ZinQ5+a+tS3mpsp+X6DavDmdHQ6Bj7qlspL3GRHK9lQX9poo8AT25ZQmf/MO98HP4fr186dplYp/CUfqyOGF+4fSkGePnEFatDmVFlnZu+YQ9PbdH312xooo8A96/JJj05jldPXrU6lM80NDrGqx82U1rkInNBvNXhKD8tTU/inlVZ/OPxK4x5w3tN/asfXmVxWqKWBWdJE30EiItx8NjGPA7Vt9EzGL4bRlTWubk2OMrT2/QmbKT50raltPYM8fbZ8O3Ebusd4t2PO3hi82ItC86SJvoI8dRtSxgZ84b1oLOXjl1haXoiO1ZmWh2KmqUH1+WQuSCenx0L3/LNy8ev4DXoaps50EQfIUoWp7IlP40fv3cRbxh+vD7f0c9757t4+na9CRuJfDdll/DmmXbcPeE3p37E4+Un71/inlWZLM9MtjqciKOJPoJ8bcdyLnYN8lZj+H28/sfjV4hxCJ/fqldbkerp2/MZ8xr+KQxvyh6obaW9b5iv71hudSgRSRN9BCkvceFamMCPjly0OpRPGPaM8U8nm3loXQ7ZKQlWh6PmKD8jibsLM3kpDG/K/t2Ri6zITOa+1VlWhxKRNNFHkFing9/Zvox3mzrDavPwQ/VtdA+M6E1YG/jitnyuXr/Br8NoKe+Hl69x+sp1fndHgZYF50gTfYT50rZ84mMcYXVV/7Njl1mclsg9q/RqK9LtKsohIzkurDplf3TkIikJMTypa+fnTBN9hFmUHMcTmxfzi4+auT44YnU4NLX3c6Spiy/cvhSnXm1FvLgYB09tXcLrDe1cDYNOWXfPEAdqWvnC1qXaCTsPmugj0O/uKGBo1BsWS+F+cLiJhFgHX74j3+pQVIB8ZXsBDoEX3j5ndSj85P2LeI3hq3cVWB1KRNNEH4HWuhZy18oMfvLeRUvn31zuGuRXp1r48h3LyNBOWNtYnJbIk1uW8LPjV2jvs26p5dDoGD/94DIPrcthabqOI54PTfQR6ms7ltPSM0RlXZtlMTz/zjmcIjxz7wrLYlDB8ex9K/GMefnhry9YFsOvTl3l2uAoX9MllfOmiT5CPbA2m/z0JH50xJpfxNaeG7xyopnPb11CzkJdUmk3BZnJPLYxj5+8f4lrA6G/F2SM4UdHLrLWlcKdK9JD/vp2o4k+QjkdwlfvKuDEpWtUN18P+eu/8M55xozh2ftWhvy1VWh8a2chgyNjllxMvHeuizPuPr6+Y7nuCRsAfiV6ESkXkUYRaRKR707x/S+LSPX4f0dFZOOk710UkRoROSUiJwIZfLT7ra1LSE2M5b9XnQ3p63b0DfOzY5d5YvNirZ3a2KqcFCpKXPzo6EV6h0I3TM8Yw3+vaiQ7JZ7HNuWF7HXtbMZELyJO4PtABVAEfFFEim457AJwnzFmA/BnwAu3fH+nMWaTMWZrAGJW41ISYvn2A4W8c7aDt8+GrsHlh+9eYNjj5Z/fr1fzdvetnYX0DXn4yXuXQvaaB2rdfHj5On9UupqEWGfIXtfO/Lmi3wY0GWPOG2NGgJeAxycfYIw5aoy5Nv7l+4B2NoTI72xfRn56Ev/v/oaQtK1fHxzhJ+9d5JH1uazMWhD011PWKlmcys41Wfzw3QsMjniC/nojHi/fO3iGNTkpPHWbdloHij+JfjEwecF28/hj0/kGcGDS1waoEpGTIvLMdE8SkWdE5ISInOjoCJ/263AXH+PkO+VrOePuC8kI478/epGBkTG+tbMw6K+lwsNzD6yie2CEn34Q/G7Z//P+JS51DfInj6zTBrwA8ifRT/X/9pSXjiKyE1+i/86kh3cYY7bgK/18S0Tuneq5xpgXjDFbjTFbs7K0lX42Hl7vYnN+Gn9Z1RjUq65rAyP86MhFHlqXw7rchUF7HRVeblu2iO0rMvhf75ynfzh476+ewVH+5s2PuWdVpg4vCzB/En0zMPkz1BKg5daDRGQD8CLwuDGma+JxY0zL+P+2A7/AVwpSASQi/LuH19HWO8yLQVz3/J9eq2Ng2MMfla4O2muo8PRvytfQ2T/MXxxoCNprfP9wEz03Rvm3FeuC9hrRyp9EfxxYJSLLRSQOeBrYM/kAEckHfg78jjHm7KTHk0UkZeLPQClQG6jg1W9sLUinosTF82+fC0o34+v1bfzyVAvf3FmoV/NRaEv+Ir5213L+z/uXOXquM+A//0r3IH9/5CJPbVlCUZ6+vwJtxkRvjPEAzwGVQAPwsjGmTkSeFZFnxw/7D0AG8INbllHmAO+KyGngGLDPGHMw4GehAPhO+VpGPF7+6tDHAf25PTdG+ZNf1LDWlcJzWpuPWv+mbA3LMpL47qs1AS8R/tfKRhwO+KPSNQH9ucrHr3X0xpj9xpjVxpiVxpg/H3/seWPM8+N//j1jzKLxJZQ3l1GOr9TZOP5f8cRzVXAUZCbz23cu4x+PX+ajy9dmfoKf/sveeroGRvhvT20kLkZ77KJVYpyT7z25gcvdg/zXg40B+7lHmzp57XQLv3/PClyp2mUdDPpbazP/8qFV5KUl8gc/ORmQvT8PN7bzTyeb+YN7V7B+SWoAIlSR7M4VGXxl+zL+4b2LHL/YPe+fd7lrkG/+9ENWZiXzB9plHTSa6G0mLSmOF7+6lYFhD7//4xPcGBmb88/qGxrl3/68hsLsBfzhg6sCGKWKZN8pX8vitET++JXqeb+/vvEPxzEGfvjV21mg8+aDRhO9Da11LeR/PL2Z2pYe/vUrpzFm9o1UXq/hP/6qjrbeIf7bUxu0Q1HdlBwfw/ee3MCFzgH+y776Ob2/xryGP/zZR1zoHOBvv7yFgszkIESqJmiit6mHinL4Tvla9lW38jdvNM3quUOjY3zrpx/y84+u8u0HVrE5f1GQolSRakdhJr9393L+/w8u80cvn2bEM7t9Ef7iQANvNXbwp48Vc1dhZpCiVBP0s5KN/cG9Kzjr7uOvXj/Lyuxkdm+YeUBUV/8wv//jE3x05Tr/fncR37hbZ4Grqf27R9axMDGW/+/QWdy9Q/ztb99GamLsjM97+fgV/vevL/CV7cv47TuXhSBSpVf0NiYi/D//bD1b8tN47qcf8dxPP+RC58C0x1/sHODJvz1KXUsvP/jSFk3y6jOJCH/44Cr+8vMbOXahm88/f/Qz95k929bH7//4BH/8ajU7CjP497tvnY2ogkXmUl8Ltq1bt5oTJ3SicaD0D3v4X2+f48VfX2BkzMsXbl/Kv3hwFRnJcVzsGuCMu48zrX389NhljDG8+NXbuW2ZlmuU/440dfLsT06SGOfk6W35rHWlsMaVQkFGMq09N/irQx/z84+aWRAXwzP3ruD37llBYpze9wkkETk53YRgTfRRpKNvmP/55sf89Njlm5s5TNRWnQ5h/eJU/uoLm1iuN8bUHDS6+/hXL5+iobWXiUGqCbEOxrwGEeGr25fxz+8vJD05ztpAbUoTvfqEK92D/PDdC8TFOFiT47vyKsxeoCtrVEAMjY7xcVs/Z9y9nHH3IcDX715OXlqi1aHZmiZ6pZSyuc9K9HozVimlbE4TvVJK2ZwmeqWUsjlN9EopZXOa6JVSyuY00SullM1poldKKZvTRK+UUjYXlg1TItIBXJrj0zOBwO9eHN70nO0v2s4X9Jxna5kxJmuqb4Rlop8PETkxXXeYXek521+0nS/oOQeSlm6UUsrmNNErpZTN2THRv2B1ABbQc7a/aDtf0HMOGNvV6JVSSn2SHa/olVJKTaKJXimlbC4iE72IlItIo4g0ich3p/i+iMjfjH+/WkS2WBFnIPlxzl8eP9dqETkqIhutiDOQZjrnScfdLiJjIvJUKOMLBn/OWUTuF5FTIlInIm+HOsZA8+O9nSoir4nI6fFz/poVcQaKiPydiLSLSO003w98/jLGRNR/gBM4B6wA4oDTQNEtxzwMHAAEuBP4wOq4Q3DOdwGLxv9cEQ3nPOm4N4H9wFNWxx2Cv+c0oB7IH/862+q4Q3DOfwJ8b/zPWUA3EGd17PM453uBLUDtNN8PeP6KxCv6bUCTMea8MWYEeAl4/JZjHgd+bHzeB9JEJDfUgQbQjOdsjDlqjLk2/uX7wJIQxxho/vw9A3wbeBVoD2VwQeLPOX8J+Lkx5jKAMSbSz9ufczZAivh2tF+AL9F7Qhtm4Bhj3sF3DtMJeP6KxES/GLgy6evm8cdme0wkme35fAPfFUEkm/GcRWQx8ATwfAjjCiZ//p5XA4tE5LCInBSRr4QsuuDw55z/J7AOaAFqgH9hjPGGJjxLBDx/xcwrHGvIFI/dukbUn2Miid/nIyI78SX6u4MaUfD5c85/DXzHGDPmu9iLeP6ccwxwG/AgkAi8JyLvG2POBju4IPHnnMuAU8ADwErgkIj82hjTG+TYrBLw/BWJib4ZWDrp6yX4/qWf7TGRxK/zEZENwItAhTGmK0SxBYs/57wVeGk8yWcCD4uIxxjzy5BEGHj+vrc7jTEDwICIvANsBCI10ftzzl8D/sL4CthNInIBWAscC02IIRfw/BWJpZvjwCoRWS4iccDTwJ5bjtkDfGX87vWdQI8xpjXUgQbQjOcsIvnAz4HfieCru8lmPGdjzHJjTIExpgB4BfhmBCd58O+9/SvgHhGJEZEk4A6gIcRxBpI/53wZ3ycYRCQHWAOcD2mUoRXw/BVxV/TGGI+IPAdU4rtj/3fGmDoReXb8+8/jW4HxMNAEDOK7IohYfp7zfwAygB+MX+F6TARP/vPznG3Fn3M2xjSIyEGgGvACLxpjplymFwn8/Hv+M+DvRaQGX1njO8aYiB1fLCI/A+4HMkWkGfiPQCwEL3/pCASllLK5SCzdKKWUmgVN9EopZXOa6JVSyuY00SullM1poldKKZvTRK+UUjaniV4ppWzu/wL0b5uJKYS+ygAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x_sensory, to_stimulus_dx_(x_sensory))"
]
},
{
"cell_type": "code",
"execution_count": 572,
"id": "b9364a7b",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fc16ec661c0>]"
]
},
"execution_count": 572,
"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, to_sensory_dx_(x_stimulus))"
]
},
{
"cell_type": "code",
"execution_count": 556,
"id": "33d6900e",
"metadata": {},
"outputs": [],
"source": [
"def get_vonmises_pdf(loc, sd, x):\n",
" return get_von_mises(loc, sd).pdf(x*np.pi*2)"
]
},
{
"cell_type": "code",
"execution_count": 557,
"id": "a312b14a",
"metadata": {},
"outputs": [],
"source": [
"def get_random_samples_sensory_space(loc, sd, n=100):\n",
" vm = get_von_mises(0.0, sd)\n",
" \n",
" return ((vm.rvs(n) + np.pi) / (np.pi * 2) + loc - .5) % 1"
]
},
{
"cell_type": "code",
"execution_count": 558,
"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 = p_sensory * prior(x)\n",
" \n",
" print(p.shape)\n",
" p /= p.sum(1)[:, np.newaxis]\n",
" \n",
" return np.squeeze(p)"
]
},
{
"cell_type": "code",
"execution_count": 559,
"id": "90b74d22",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(1, 50)\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.lines.Line2D at 0x7fc15fdc27c0>"
]
},
"execution_count": 559,
"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": [
"mu_stimulus = .25*np.pi\n",
"sensory_noise = .1\n",
"x= np.linspace(0, np.pi)\n",
"\n",
"p = get_stimulus_pdf(x, mu_stimulus, sensory_noise)\n",
"\n",
"\n",
"plt.plot(x, p)\n",
"plt.plot(x, prior(x) / prior(x).sum(), c='k', alpha=.1)\n",
"plt.axvline(mu_stimulus, c='k', ls='-')\n",
"plt.axvline(np.angle((np.exp(1j*x)*p).sum()), c='k', ls='--')"
]
},
{
"cell_type": "code",
"execution_count": 560,
"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": 561,
"id": "cee8d697",
"metadata": {},
"outputs": [
{
"ename": "SyntaxError",
"evalue": "invalid syntax (1092710807.py, line 21)",
"output_type": "error",
"traceback": [
"\u001b[0;36m Input \u001b[0;32mIn [561]\u001b[0;36m\u001b[0m\n\u001b[0;31m p_stimulus = p_sensory *\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n"
]
}
],
"source": [
"# Parameters\n",
"sensory_noise = .1\n",
"\n",
"\n",
"# Real-world orientation\n",
"orientation = .125 * 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",
"\n",
"\n",
"x_stimulus = np.linspace(0, np.pi, 500)\n",
"x_sensory = to_sensory_(x_stimulus)\n",
"\n",
"\n",
"\n",
"p_sensory = get_vonmises_pdf(sensory_samples[:, np.newaxis], sensory_noise, x_sensory)\n",
"p_stimulus = p_sensory * \n",
"\n",
"\n",
"\n",
"# plt.plot(x_stimulus, p_sensory[5]*prior(x_stimulus))\n",
"# plt.plot(x_stimulus, p_sensory[5]*prior(x_stimulus)**2)\n",
"\n",
"# dx = x_stimulus[1:] - x_stimulus[:-1]"
]
},
{
"cell_type": "code",
"execution_count": 562,
"id": "5357e478",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([0.46694221, 0.43708658, 0.40772119, 0.37932821, 0.35237384,\n",
" 0.32730068, 0.30452043, 0.28440715, 0.26729108, 0.25345328,\n",
" 0.24312097, 0.23646379, 0.23359106, 0.23454995, 0.23932471,\n",
" 0.24783695, 0.25994689, 0.27545569, 0.29410869, 0.31559961,\n",
" 0.33957557, 0.36564289, 0.39337354, 0.42231219, 0.45198366,\n",
" 0.45198366, 0.42231219, 0.39337354, 0.36564289, 0.33957557,\n",
" 0.31559961, 0.29410869, 0.27545569, 0.25994689, 0.24783695,\n",
" 0.23932471, 0.23454995, 0.23359106, 0.23646379, 0.24312097,\n",
" 0.25345328, 0.26729108, 0.28440715, 0.30452043, 0.32730068,\n",
" 0.35237384, 0.37932821, 0.40772119, 0.43708658, 0.46694221])"
]
},
"execution_count": 562,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"p_sensory"
]
},
{
"cell_type": "code",
"execution_count": 456,
"id": "ceca31d6",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fc15bca44c0>]"
]
},
"execution_count": 456,
"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(dx)"
]
},
{
"cell_type": "code",
"execution_count": 449,
"id": "04f608e2",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fc15b0745e0>]"
]
},
"execution_count": 449,
"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)"
]
},
{
"cell_type": "code",
"execution_count": 442,
"id": "7d3cbd20",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([0. , 0.02198089, 0.04436824, 0.06720319, 0.09069066,\n",
" 0.11484245, 0.13958879, 0.16498903, 0.191108 , 0.21816291,\n",
" 0.24607553, 0.27489168, 0.30468368, 0.33552302, 0.36747751,\n",
" 0.40060782, 0.43496329, 0.47057717, 0.50746145, 0.54576806,\n",
" 0.58528766, 0.6259119 , 0.66751715, 0.71000484, 0.7529873 ,\n",
" 0.79621021, 0.83934681, 0.88211211, 0.92420022, 0.96532682,\n",
" 1.00541374, 1.04434095, 1.08193559, 1.11818471, 1.15316643,\n",
" 1.18690405, 1.21943946, 1.25082826, 1.28113515, 1.31043018,\n",
" 1.33878556, 1.36627318, 1.3928419 , 1.41859308, 1.4436586 ,\n",
" 1.4681006 , 1.49197561, 1.51506936, 1.537675 , 1.55989372,\n",
" 1.58169894, 1.60391765, 1.6265233 , 1.64961705, 1.67349205,\n",
" 1.69793405, 1.72299957, 1.74875075, 1.77531947, 1.8028071 ,\n",
" 1.83116248, 1.86045751, 1.8907644 , 1.92215319, 1.95468861,\n",
" 1.98842622, 2.02340795, 2.05965706, 2.0972517 , 2.13617892,\n",
" 2.17626584, 2.21739244, 2.25948055, 2.30224584, 2.34538244,\n",
" 2.38860535, 2.43158781, 2.4740755 , 2.51568075, 2.55630499,\n",
" 2.5958246 , 2.63413121, 2.67101548, 2.70662937, 2.74098484,\n",
" 2.77411515, 2.80606964, 2.83690897, 2.86670098, 2.89551713,\n",
" 2.92342974, 2.95048465, 2.97660362, 3.00200387, 3.0267502 ,\n",
" 3.050902 , 3.07438946, 3.09722441, 3.11961176, 3.14159265])"
]
},
"execution_count": 442,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x_stimulus"
]
},
{
"cell_type": "code",
"execution_count": 433,
"id": "08d8495d",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fc16c27aca0>]"
]
},
"execution_count": 433,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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EEAW6SAVyzjF3UwbPfLWFLfuO0Lllfd4e05eBCU206IQEnAJdpAI451iQlMmzX29lza5DtG1ShxdH9+TSbi11wlMqjAJdJICcc/y4LYvnvt7Ksu0HiYmuxVMjuvGb3q2pHlHmmuwiZ0SBLhIAzjl+TMni+XlJLE09QPP6NfjL8C5c3SdWKwdJpVGgi5wB5xwLkzJ5YV4Sy3ccpHn9Gjx6eReu6RNLzeoKcqlcCnSR0+DzOeZtzuClb5NZs+sQrRrU5LHhXbg6UUEu3lGgi5yCgiIfX6xNZ9L8FLbuO0rrhrV4ckQ3ftOrNVGRGiMXbynQRcohN7+QD5ft4vWFqew+dIyzm9fj+Wt6MOyclkTqZKdUEQp0kZ+x/8hx3vlxO9MW7+BQbgF94hvy58u7MLhjM00/lCpHgS5SipT9R3l9YSqfrkyjoMjHkE7Nuf2CdvRu08jr0kROSoEu4vevOeRvLExl3uYMoiKrMbJ3a8ae35b2Tet6XZ5ImRToEvYKinzMXreHKQu2sSH9MI3rRHHPkASu69+GJnVreF2eSLmVGehm9iYwDMhwznUtZf8g4HMg1b9phnPusQDWKFIhjh4v5IOlO3nr++3sPnSM9k3r8OSIblzZM0ZTDyUolecIfSrwEjDtZ9osdM4NC0hFIhUs8+hxpn6/nWk/budwXiF94xvx6OVduFAnOiXIlRnozrkFZhZfCbWIVKhdB3J5beE2Ply2i/wiH7/u3IJxF7SjV1xDr0sTCYhAjaGfa2ZrgHTgPufchgB9XZEzlpxxlFfmJ/P56nSqGYzo2ZpxF7TTiU4JOYEI9JVAG+fcUTMbCswEEkpraGbjgHEAcXFxAXhrkZPbsvcIL36TxJfr9lAzMoIbz43n1oFtadlAqwNJaDrjQHfOHS7xfLaZvWJmTZxzmaW0nQJMAUhMTHRn+t4ipdmy9wgvzCsO8jpREdx+QXtuOb8tjTVjRULcGQe6mbUA9jnnnJn1BaoBWWdcmcgp2rrvCBPnFgd53RqR3HVhB8ae35bo2lFelyZSKcozbXE6MAhoYmZpwCNAdQDn3GRgJHCHmRUCx4BRzjkdfUulSc3M4fm5W5m1Jp3a1SO485cduOUXCnIJP+WZ5TK6jP0vUTytUaRSpR86xgvzkvh4RRpREdW4bWB7bhvYjoZ1FOQSnnSlqASdgzn5vPxtMtMW7wAHN5zbht8N6kDTehojl/CmQJegcSy/iDe/T2Xy/BRy8gv5Ta/W3D0kgdYNa3tdmkiVoECXKs/nc8xYtZtnvtrC3sN5DOnUjP++uCMJzet5XZpIlaJAlyrtx5QsHp+9kfW7D9O9dQMmjupBv3aNvS5LpEpSoEuVtOtALo9/uYk5G/bSqkFNJo7qwWXntNK9VkR+hgJdqpTc/EImzU/h1QXbiDDj3ovO4taB7XT3Q5FyUKBLleCcY876vfzli42kZ+cxvEcrHrikoy7TFzkFCnTx3Lb9R3lk1gYWJmXSsUU9Jo7uSZ94LfUmcqoU6OKZvIIiJs1PYdL8FGpEVuPPl3Xmuv5tiIyo5nVpIkFJgS6e+CElkwc/W09qZg6Xd2/FQ8M60axeTa/LEglqCnSpVNm5BTw+eyMfLU+jTePaTBvTl4FnNfW6LJGQoECXSjNn/R4emrmBg7n53HZBO34/5CzNXhEJIAW6VLgDOfk8/Pl6vli7h84t6zP15j50jWngdVkiIUeBLhVqzvo9PPjZeg7nFXDvRWdx+6D2VNdJT5EKoUCXCnE4r4A/z9rAjJW76RpTn/eu6kfHFvW9LkskpCnQJeB+TMnivo/XsPdwHhMGJ3DXhR10VC5SCRToEjD5hT6e/Xorry5IIb5xHT65/Vx6xjX0uiyRsKFAl4DYtv8od3+wmnW7sxndN5b/GdaZ2lH68RKpTPqNkzP22ao0HvxsPVGR1Zh8XW8u7trC65JEwpICXU5bbn4hj3y+gY9XpNE3vhETR/fQzbREPKRAl9OSnHGEO95dSfL+o0y4sAMTBifoHiwiHlOgyymbtSadBz5dS63qEbwzph/nJzTxuiQRQYEupyC/0McTszcx9YftJLZpyEvX9qJFA91QS6SqKPNvZDN708wyzGz9Sfabmb1gZslmttbMegW+TPFaxpE8rn1tMVN/2M6YAW2ZPq6/wlykiinPEfpU4CVg2kn2XwIk+B/9gEn+jxIiVu48yB3vriD7WAEvjO7J5d1beV2SiJSizCN059wC4MDPNBkOTHPFFgPRZtYyUAWKtz5evotRry4mKrIaM+4YoDAXqcICMYYeA+wq8TrNv23PiQ3NbBwwDiAuLi4Aby0VpbDIx5P/2Mwbi1IZ0KExL1/bi+jaUV6XJSI/IxCBbqVsc6U1dM5NAaYAJCYmltpGvJd9rIC7pq9iwdb93HRePA9d2klTEkWCQCACPQ2ILfG6NZAegK8rHtiRlcOYqcvYeSCXp0Z0Y1Rf/SUlEiwCcdg1C7jBP9ulP5DtnPvJcItUfUu2ZXHFy9+TlZPPO2P7KcxFgkyZR+hmNh0YBDQxszTgEaA6gHNuMjAbGAokA7nAzRVVrFScT1ek8cCMtcQ2qs2bN/Yhvkkdr0sSkVNUZqA750aXsd8B4wNWkVQq5xzPzU3ihXlJnNe+MZN+25sGtat7XZaInAZdKRrGjhcW8d+frGXm6nSu6t2ax6/sRlSkTn6KBCsFepjKzi1g3DvLWZJ6gD/8+mx+N6g9ZqVNWBKRYKFAD0O7DuRy89Rl7MzKZeKoHgzvEeN1SSISAAr0MLMuLZubpy4jv7CIaWP70r9dY69LEpEAUaCHkW+3ZDD+vZU0rB3F9Fv7kdC8ntcliUgAKdDDxIfLdvKnz9bTsUU93rqpD83q606JIqFGgR7inHNMnJfE83OTGHhWU175bS/q1tC3XSQU6Tc7hBUU+Xjws3V8tDyNkb1b8+SIblTXPVlEQpYCPUTlHC/kd++t5Lut+5kwOIHfD0nQtESREKdAD0EZR/IYM3UZm/Yc4ckR3Rite7KIhAUFeohJzjjCjW8u40BOPq/d0JsLOzb3uiQRqSQK9BCyNPUAt05bTvWIanx4W3/OaR3tdUkiUokU6CFi1pp07vtoDa0b1eLtm/sS26i21yWJSCVToAc55xyTvkvh6Tlb6Nu2EVOu762l4kTClAI9iBUU+Xj48/VMX7qL4T1a8fTIc6gRGeF1WSLiEQV6kMo+VsD491ayKDmT8b9sz70XnU21apqWKBLOFOhBaGdWLmPeXsaOrByeuao7I3u39rokEakCFOhBZsm2LG5/dwU+B++M7ae7JYrIvynQg8iHy3by0Mz1xDaqzRs39qGt1v0UkRIU6EGgsMjHk//YzBuLUvlFQhNeurYXDWpp3U8R+U8K9CruYE4+d01fxaLkTG46L56HLu1EpG6wJSKlUKBXYZv3HubWacvZl32cp0eew9WJsV6XJCJVWLkO9czsYjPbYmbJZvZAKfsHmVm2ma32Px4OfKnh5e9r0rny5R84XuDjg9v6K8xFpExlHqGbWQTwMnARkAYsM7NZzrmNJzRd6JwbVgE1hpWCIh9P+cfLe7dpyCu/7UVzrS4kIuVQniGXvkCyc24bgJl9AAwHTgx0OUMZh/O4c/oqlqYe4Kbz4vnT0E5ERWq8XETKpzyBHgPsKvE6DehXSrtzzWwNkA7c55zbcGIDMxsHjAOIi9M9uktalJTJPR+uIud4Ec9d050re+piIRE5NeUJ9NKuJ3cnvF4JtHHOHTWzocBMIOEnn+TcFGAKQGJi4olfIywV+RwvzEvihW+S6NC0LtNv7UVC83pelyUiQag8gZ4GlDwj15rio/B/c84dLvF8tpm9YmZNnHOZgSkzNKUfOsY9H65maeoBRvSK4a9XdKV2lCYeicjpKU96LAMSzKwtsBsYBVxbsoGZtQD2OeecmfWlePZMVqCLDSX/3LCX+z9dS36hj2ev7s6IXhpiEZEzU2agO+cKzexO4CsgAnjTObfBzG73758MjATuMLNC4BgwyjmnIZVS5OYX8tcvN/H+kp10janPi6N76RJ+EQkI8yp3ExMT3fLlyz15b6+sTTvEPR+sJjUrh3ED2/FfF52l+5eLyCkxsxXOucTS9mnAthIUFPl4+dtkXvommab1avDeLf04r30Tr8sSkRCjQK9gW/Ye4d6PV7N+92Gu6NGKRy/vSoPaurGWiASeAr2CFBT5mLJgGxPnJlGvZiSTr+vNxV1beF2WiIQwBXoF2JCezf2frGVD+mEu7daSx4Z3oXHdGl6XJSIhToEeQHkFRbwwL4kpC7YRXTtKR+UiUqkU6AGyKCmTB2euY0dWLiN7t+ahSzsRXTvK67JEJIwo0M9QxpE8nvhyEzNXp9O2SR3ev1UzWETEGwr001Tkc7y7eAfPfLWF44U+JlzYgd/9sgM1q2teuYh4Q4F+GpZtP8Ajn29g457D/CKhCY8N76qrPUXEcwr0U7DvcB5Pzi4eXmnVoCYvX9uLod1aYFbaDSlFRCqXAr0c8gqKeG3BNl6Zn0KRc9x1YQfuGNRed0YUkSpFifQzfD7H39em8/ScLew+dIxLurbgj5d0Iq5xba9LExH5CQX6SSxNPcDjX25kTVo2nVvW55mrunNu+8ZelyUiclIK9BMk7TvC019t4euN+2hRvybPXNWdK3vGEFFN4+QiUrUp0P12HzrGc19vZcbKNOpERfKHX5/NmAFtqRWlaYgiEhzCPtD3HznOy98m8/6SnQCMGdCW8b/sQMM6uspTRIJL2Ab6wZx8pizcxtTvt5Nf5GNkr9ZMGJJATHQtr0sTETktYRfoh3LzeX1hKm99n0puQRGXndOK3190li4MEpGgFzaBfjAnnze/T2Xq99s5cryQS7u15O4hCZzVvJ7XpYmIBETIB3rW0eO8sSiVt3/YTk5+EUO7tWDC4AQ6tqjvdWkiIgEVsoG+NzuPKQu28f7SHRwv9HFpt5bcdWECZ7fQEbmIhKaQC/SU/UeZ8t02Plu1myLnuKJHDHcMak+HZnW9Lk1EpEKFTKCv2nmQKQu2MWfDXqIiqnFNn1jGDWxHbCNdpi8i4aFcgW5mFwMTgQjgdefcUyfsN//+oUAucJNzbmWAa/0Jn8/x7ZYMXl2wjaWpB6hfM5Lxgzpw04B4mmgNTxEJM2UGuplFAC8DFwFpwDIzm+Wc21ii2SVAgv/RD5jk/1gh8gqKmLFyN28s2kbK/hxiomvxP8M6c02fWOrWCJk/OkRETkl50q8vkOyc2wZgZh8Aw4GSgT4cmOacc8BiM4s2s5bOuT2BLvibzfv4w8drycrJp2tMfSaO6sHQbi2pHlEt0G8lIhJUyhPoMcCuEq/T+OnRd2ltYoD/CHQzGweMA4iLizvVWgFo07gOPWKjueUX7ejfrpEWlxAR8StPoJeWmO402uCcmwJMAUhMTPzJ/vJo37Qub9zU53Q+VUQkpJVnnCINiC3xujWQfhptRESkApUn0JcBCWbW1syigFHArBPazAJusGL9geyKGD8XEZGTK3PIxTlXaGZ3Al9RPG3xTefcBjO73b9/MjCb4imLyRRPW7y54koWEZHSlGuOn3NuNsWhXXLb5BLPHTA+sKWJiMip0Fw/EZEQoUAXEQkRCnQRkRChQBcRCRFWfD7Tgzc22w/sOM1PbwJkBrCcYBGO/Q7HPkN49jsc+wyn3u82zrmmpe3wLNDPhJktd84lel1HZQvHfodjnyE8+x2OfYbA9ltDLiIiIUKBLiISIoI10Kd4XYBHwrHf4dhnCM9+h2OfIYD9DsoxdBER+algPUIXEZETKNBFREJE0AW6mV1sZlvMLNnMHvC6nopgZrFm9q2ZbTKzDWZ2t397IzP72syS/B8bel1roJlZhJmtMrMv/K/Doc/RZvaJmW32f8/PDZN+/97/873ezKabWc1Q67eZvWlmGWa2vsS2k/bRzP7oz7YtZvbrU32/oAr0EgtWXwJ0BkabWWdvq6oQhcC9zrlOQH9gvL+fDwDznHMJwDz/61BzN7CpxOtw6PNEYI5zriPQneL+h3S/zSwGmAAkOue6Unxr7lGEXr+nAhefsK3UPvp/x0cBXfyf84o/88otqAKdEgtWO+fygX8tWB1SnHN7nHMr/c+PUPwLHkNxX9/2N3sbuMKTAiuImbUGLgVeL7E51PtcHxgIvAHgnMt3zh0ixPvtFwnUMrNIoDbFq5yFVL+dcwuAAydsPlkfhwMfOOeOO+dSKV5fou+pvF+wBfrJFqMOWWYWD/QElgDN/7USlP9jMw9LqwjPA/cDvhLbQr3P7YD9wFv+oabXzawOId5v59xu4BlgJ8WLyWc75/5JiPfb72R9PON8C7ZAL9di1KHCzOoCnwL3OOcOe11PRTKzYUCGc26F17VUskigFzDJOdcTyCH4hxnK5B83Hg60BVoBdczsOm+r8twZ51uwBXrYLEZtZtUpDvP3nHMz/Jv3mVlL//6WQIZX9VWAAcDlZrad4qG0C83sXUK7z1D8M53mnFvif/0JxQEf6v0eAqQ65/Y75wqAGcB5hH6/4eR9PON8C7ZAL8+C1UHPzIziMdVNzrlnS+yaBdzof34j8Hll11ZRnHN/dM61ds7FU/x9/cY5dx0h3GcA59xeYJeZne3fNBjYSIj3m+Khlv5mVtv/8z6Y4nNFod5vOHkfZwGjzKyGmbUFEoClp/SVnXNB9aB4MeqtQArwoNf1VFAfz6f4T621wGr/YyjQmOKz4kn+j428rrWC+j8I+ML/POT7DPQAlvu/3zOBhmHS70eBzcB64B2gRqj1G5hO8TmCAoqPwMf+XB+BB/3ZtgW45FTfT5f+i4iEiGAbchERkZNQoIuIhAgFuohIiFCgi4iECAW6iEiIUKCLiIQIBbqISIj4f1p4Idt3c+uFAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x_stimulus)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "ce1ec99b",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 409,
"id": "00bbdf93",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.14917672436905657"
]
},
"execution_count": 409,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sensory_mu"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "a6183b54",
"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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