diff --git a/bayesian/variational_inference_post.ipynb b/bayesian/variational_inference_post.ipynb index f29e214..57d7551 100644 --- a/bayesian/variational_inference_post.ipynb +++ b/bayesian/variational_inference_post.ipynb @@ -21,16 +21,16 @@ }, { "cell_type": "code", - "execution_count": 397, + "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 397, + "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, @@ -76,7 +76,7 @@ }, { "cell_type": "code", - "execution_count": 401, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -121,7 +121,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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Nx8M1z3WFg5peyrg0IqA+DnNsZ3MFXV8oZTO3spqruj6fVnqjUNku1hFUMhHVe8b7NZ6IKpmIKTkY06n+TnUE2xr2mZxEAAoAAOCAVgvIRnoiSmVylUBbklayeY30RFwcFXB0Ox3bx+NhzS1ndbUqwNwMNqeXMrK2tK0xpdcYT8T0zOk+jSdiSiaieigRU6KrQ8b4O8O5FwJQAADQcK0093EnrRaQnZ0Y0vmL1yWVAu2VbF6pTE4vPXPC5ZEBR/PBxxL6ha+9oTetVTZX0PzKuhbTG1rPF/ULX3+jsl0k1KbkYFRPj/bqxXeeVHIwqvGBmMYGooq0N0c28zAIQAEAQEO12tzHnbRaQHZmOK5zz4/V3Hh46ZkTLbXP4V/WWt1Nb2yVy27OzZxf1VuLayrarW1jHUE9PBjTkyfi5WxmTMnBqI51h5s+m3kYBKAAAKChWm3u405aMSA7Mxxv6s8H/8sVirpxd62mXPZauetsKpOrbNcRDGg8EdPESFyfeGpEyfL8zLGBqKIdhFQHUZdvyxjzS5I+JmnOWjtRj9cEAADNodXmPu6GgAxwx730RrnLbFpXy39em1/VzcU15avSmYNdHUomYvprbx/W+ECpAdD4QFQjPRHfd5/1inqF61+S9H9L+jd1ej0AANAkWm3uY6tgXi+8Jl8o6q17mXIGc3VraZP5tBbTG5Xt2tsCOj3QqUePdemH3zZc6TY7noiqKxza5R1QD3UJQK21F40xp+vxWgAAoLm02tzHVsC8XrgplclVymQrweZ8WjfuppUrbGUzB2LtGk/E9JEnhkrzMstB5oneTrWRzXSNYwXLxphzks5J0ujoqFNvCwAAXNaKcx+b3b/9kxu6Nr+qjUJR3eGQHhqMKh4Jtdy8XjROoWg1fS9TLpetDjbTWlhdr2wXDBid6u9UMhHTC48PaXwgquRgTMmBmOKdZDO9yLEA1Fp7XtJ5SZqcnLR7bA4AAJoIcx+bx9RMSn/0xl31RILq6ggqmyvotRtLesdoXNNLebeHB59ZXc9XsphbTYDSuraQ1ka+WNmupzOkhxIxffCxRDmTWVo782Rfp0JtARc/AQ6Klk0AAADYtwuXZ9VbziwZYxQOldYz/P7tFX3g0UE3hwaPKhatbqcyNQHm1XLQObu8lc1sCxiN9nUqmYjq+UcSlU6z44mY+qLtLn4C1BMBKAAAAPZteimjM8Nd+s5bKUml5Slkre5l8jo7MeTy6OCmtY18JXtZKpvdzGauKpvbymZ2hYNKJmJ67qGEkoNRjQ/E9NBgVKN9UbUHyWY2u3otw/LvJX1A0oAx5pakn7XWfrEerw0AAADv2Oxq/PRoj96YT2s1m1eozei5h/ops24B1lrNLq9XMpiVbObcqm6nspXtjJFO9paymc8m+ysNgJKJmAZi7TKGJkCtql5dcH+8Hq8DAAAAb9vsahyPhPTusb5KV+NPP3vK7aGhjrK5gq4vpKvKZrcaAaU3CpXtYh1BjSeievd4/1YDoERMp/o7K+XZQDVKcAEAgKNYP9Lf6GrcPKy1ml9d31ovc64cbC6s6ta9jGxV29CRnoiSgzG9eOpkuctsKdgc7Oogm4kDMdY635B2cnLSXrp0yfH3BQAA7qpeP7J6TVDWj/QmbhY0h/V8QTfvrlXWy9z889rcqlbWtzoXR0JtlTLZzT+TiZjGBqKKtJPNxMEYY16z1k7e/zwZUAAA4JgLl2cVj4QUj5S6qG7+yfqR3lN9s2A4HlYqk9P5i9e5WeBR1lotpjeq1svcKpm9ubimYlXOaTge1lB3h8YSUQWM0en+Tv3o0yN67qGEAgGymWgsAlAAAOCY6aWMhuPhmue6wkFNL2VcGhF2ws0Cb8oVirq5uFbuMrsVbF5bSGtpLVfZriMY0NhAVE+MxPXxtx+vzM0cG4jq5mL6gUqEL3/7thJdHexbNBwBKAAAcMxmB9XNYEaSVrJ5jfREXBwVtsPNAnctrW3UlsyW52nevLumfFU6c7CrQ+OJqD76tmGNJ2KVtTNHeiI7ZjO5uQA3EYACAADHbHZQlVQzB/SlZ064PDLcj5sFjZcvFHXrXuaBJU2uzad1N71R2a69LaDTA516ZLBLPzRxrDxHszRPszsc2uUdtsfNBbiJABQAADiGDqr+wc2C+lnO5krB5VxtoPnm3bRyha1sZn+0XclETD/4xJDGB2JKDm5lM4NtgbqNh5sLcBMBKAAAcNSZ4TgBpw9ws+BgCkWr20sZvVEVYF6dK83NnF9Zr2wXDBid6u/UeCKmD50ZUjIRrZTO9nS2OzJWbi7ATSzDAgAAAOxhc0maN++mFQm16WRfRNlcsRJsXl9Iaz1frGzf0xkqL2OyGWCWSmZH+zoVqmM287BYYgeNxjIsAAAAwD4Ui1Yzy9lSBnN+VZdu3NOr1xaV3shrbaNQ2S5gpNG+TiUTMT3/SELjA9FKt9m+qDPZzMOiEgFuIQAFAADYBzJGzSezUdC1herlTErzNK8vpJXJbQWa7cGAusNBnerrVG+0Xb2d7Qq1GY30RvQ/feQxFz8B4D8EoAAAAHuYmklV1k0cjoeVyuR0/uJ1nXt+jCDU46y1ml1er6yXebWq02x111djpBO9ESUTMT2b7Nd4eTmT8URU/+QPXtfxnogCZmtZk6K1mkll3fhIgK8RgAIAAOyBdRO9L5sr6M276dJ6mVXB5rX5VaWrymaj7W1KDsb0zOlefSpxsjQ/czCq0/1RhUNt2772id5OusYCdUIACgAAsAfWTfQGa63mV9erusymyyW0q7p1L6Pq3pojPRGNJ6J6cfKkkpVsZkxD3R0yVZnM/aBrLNzUbOX/BKAAAAB7YN1EZ23ki7pxN10pl61eO3Mlm69sFwm1aWwgqqdO9urHnj5RWc5kbCCqzvb6XeayJA3c0ozl/wSgAADAU7x4t58MWGMspjdq1su8OlcKNt+6l1GhuJXOPNYdVnIwqh95aqSUzRwsZTOHu8MKBA6WzTwsusbCDc1Y/k8ACgAAPMOrd/vJgB1erlDUzcW1qrLZcrA5v6qltVxlu/ZgQOMDUT1xPK6Pv/14Ze3MsURUsQ4uWdGamrH8n3/NAADAM7x8t58M2O6W1jZqOsxuls7evLumfFU2M9HVoWQiqh9+23Cly+xDiZiO90TU5lA2E/CLZiz/JwAFAACe0Yx3+5tJvlDUrXuZUuOfudpg8256o7JdqM3odH9Ujwx26ewTx5RMxMpls1F1h0O7vAPgPi9NA2jG8n8CUAAA4BnNeLffj5azuVJgObdaCTavLazqzYU1bRSKle36o+0aT0T1wuNDlWxmMhHTid6Igm0BFz8BcDhemwbQjOX/BKAAAMAzmvFuv1cVi1bTS5ma9TI3H8+vrFe2CwaMRvs7lUzE9AOPDZaymYmoxgdi6o22u/gJgPrz4jSAZiv/JwAFAACe0Yx3+92WXs/r2nx5vcy51co8zesLaa3nt7KZ8UhIyURUH3gkUVnOJDkY02hfp0JkM9EimAbQeASgAADAU5rtbr8TikWrO8vZB7rMXptPayaVrWwXMNJoX6fGEzG9/+GBctlsKdjsi7bLmL2bADVifpyX5tyhtTENoPEIQAEAaDAurlEvmY2Cri1sNf6p/jOTK1S26+oIanwwpmeT/ZWS2WQiptH+TnUE2w79/o2YH+e1OXdobUwDaDwCUAAAGoiLaxyUtVZzK+ulctmFdLlsthRkVpcBGiOd6I1ofCCmd4/1KzlYmpeZHIwqEevYVzbzoBoxP86Lc+7QupgG0HgEoAAANBAX19hJNlfQjbtr25bNrq7nK9t1trcpmYhp8nSvXkqcrHSbHRuIKhw6fDbzMBoxP445d/Aat6cBNHvVDAEoAAANxMV1a7PWamF1o6ZcdvPxW/fWZO3WtsfjYSUHY/rr7zxRWc4kmYhpqLsx2cyd7Hbx24j5ccy5A7a0QtUMASgAAA3UrBfXzX6H/qA28kXdXEzrjbn0A8HmSnYrmxkOBTQ+ENOTJ+L65DtGlByMaXwgqvFEVJ3t7l+W7XXx24j5cV6cc8fxDbe0QtWM+7/pAABoYvW6uPbSBXEz3KE/7Pe5mN7MZlavnZnWzcU1FYpb6cyh7g4lEzH9yFMjW9nMwZiGu8MKBJzLZh7UXhe/jZgf57U5d81wfMO/WqFqhgAUAIAGqsfFtdcuiP1+h36v7zNXKOqtxbWqAHMr2Ly3lqu8TnswoPGBqM4Md+ljTw5XAs2xgai6wqFdRuBd+7n4bcT8OLfn3FXz+/ENf2vWqplqBKAAADTYUS+uvXZB7Pc79JvfZ0cwoNnlrO6lc5pZzujv/LtvS5Ju3F1TviqbORDrUDIR1dmJ4dJyJoMxJQdiGumNqM3D2czDaIWL3734/fiGv3mxJL3eCEABAJ7mpdLTejnoZ/LaBbGfgpRC0erWvbWaeZmvfH9W6fVCzbqZASNFO4J6b7JfH3nimMbLa2eOJ2I1n7MRvHSMt8LF7178dHy7wUvHazPyWkl6Ixhb3X7NIZOTk/bSpUuOvy8AwF+qSyWrL4b9PBfrMJ/p5VeuPHBBvPnz5154xKmhV3hxv6xkcw90mb06v6o3F9a0UShWtuuLtiscDCjaEdRQd1i90ZB6O9slSb2d7Y5/n178Lls9wPDiPqkem5v7xsvfDbzHGPOatXby/ufJgAIAPMtrpaf1cJjP5LWslFt36ItFq+mlTE2Aufnn3Mp6Zbu2gNGpvk6NJ2L6gccGlRyIKTkY1fhATL3R9h0von/8XScbOv7tePEY99J8TDd4NQPlhbngXjxe4T8EoAAAz/Ja6Wk9HOYzefGCuJFBSno9r+sL6Urzn6vzq7o6t6rrC2mt57eymd3hoJKDMT3/SELJRKzSBGi0r1PtwcCuY/fK99mMx3gz8GIQ7oXgj+MV9UAACgA4FCdKwZpxLtZBP9P93/NPPnfacxfGh2Gt1Uwqu23Z7EwqW9kuYKSTfZ1KJmJ67qGBUgOgcrDZH22XMYdrAuSVAKMZj3E0hheCP45X1AMBKADgwJwqBfNa6Wk9HOQzeaHk7qgyG4VKNrNSNrtQery2sdUEqKsjqPFEVM+O9ys5GNP4QKnb7Kn+TnUE2x543amZlP7fP7nh+3mKzXiMozG8EPxxvKIeaEIEADiwejfF2S2b6nbTjUbY72fyWvOhnVhrNbeyXrNe5tX5tK7Orep2KqPNSw1jShfR1eWy44moHkrElOjq2Hc2czMwLxSKurOc1WI6p2DA6LMfSuqjT4408JM2RjMe46g/rzQA4njFftGECABQN/UsBdsry+eVUsl62u9n8kLJXbVsrqAbd9fKAWZtsLm6nq9s19nepvFEVJOnezU+cFLJwVKwOTYQVTj0YDbzoC5cnlWhUNSVuVV1BAPqi4a0nM3rC1+/qvFEzHfHSzMe46g/r8xd5njFURGAAgAOrJ6lYF5orOFVbpTcWWu1sLpRCSyrg81b99ZUrCqcOh4PazwR0489PVIumy11mz3WHT703Mz9ZFemlzK6s5xVRzBQCWi7w0HdTW9w3KCpEfyhGRCAAgAOrJ7zgLyW5fOSRs632sgXdXMxXdVlNq1rC6Vus8vZrWxmRzCg8URMT56I60feMaJkVelsZ3t9LyP2O+d1pCei79xcUl90KzBfzxfVH23nuEHTowS28fiOG4sAFABwYPUsBfNCY43DcOICpR7f8730xgNdZq/Op3VzcU2FqnTmUHeHxgdi+vhTx8uZzJiSiaiOxyMKBA6XzTyo/WbDz04M6SuX72g5m1d3OKj1fFHr+aJO93d6/rhxGxfW/tYMjcm8ju+48QhAAQCHUq9SMD92VXTyAmU/33O+UNTNxbVtlzS5t5arbNfeFtDYQFRnhrv00bcNKzkY1fhAKZvZFQ7t8g7O2G82/MxwXJ/9UFJf+PpV3U1vqD/artP9nQoEAjo7MeTkkH2FC2v/Y8pC4/EdNx4BKADANZvZmJVsTtNLGcUjQT0+HHelscZBuHWBklrL6epCVSZzblXXFtK6cTetXGErmzkQ69B4IqqzE8OVktlkIqaR3ojaHMpmHsZBsuEffXJE44kY2bwD4MLa/5iy0Hh8x41HAAoAcEV1NubMcHcl8+mHIKKRFyiFotX0vUwlk7k5R1Gu1mAAACAASURBVPPa/KoWVjcq24XajE71RzU+ENULjw9tLW0yEFO80/1s5mEcNBtOQ5aD4cLa//w6ZcFP+I4bjwAUAOAKP2dj6nGBspLN6dr8ZuOfdKVs9vrdtDbyxcp2vZ0hJRMxfeixocramcnBmE72RhRsC9T1c7nNK8tMNCsurP3Pj1MW/IbvuPEIQAEAe2pE45KDZGO81jhlvxcoxaLV7VSmlMWcW60Em9cWVjW7vF7Zri1gdKqvU+OJqD7waKISaI4nYuqLtjv62dxGVrNxuLD2P27SNB7fceMZa+3eW9XZ5OSkvXTpkuPvCwA4uOpS2eqL1qM2Lnn5lSsPZGM2f/7cC480/P2PqjooTsQ69PjxLhWtqtbOTOv6wqqyua1sZnc4WLNeZmluZlSjfVG1B5srm4m9uXFjxWs3cwA0L2PMa9bayfufJwMKANhVo0pl95uN8UqprrVWd5azNetlbgabt1PZynYBI53o7VQyEdX7kv0aLweZycGY+qPtMsa7TYDgHLc60pJhBuC2ugSgxpizkn5eUpukX7TW/uN6vC4AwH2Nalyy3zInpxunZHOFmrmZ1xa2ljVZ2yhUtot1BJVMRPXu8f5Kp9nxREyn+jsVDrU1ZGxoHl65sQIATjtyAGqMaZP0zyW9IOmWpG8ZY37XWvv9o742AMB9jWxcsp9sTCPe31qr+ZV1vVG1XuZmNnN6KaPq2SkjPRElB2N65nTfVjYzEdNgVwfZTBwaHWkBtKp6ZEDfJekNa+01STLG/JqkT0giAAWAJuB245KjvP96vqAbd9cq62WWymZLQefKer6yXSTUpvFEVE+P9urFd56sNAEaG4gq0k42E/VHR1oAraoeAeiIpLeqfr4l6d11eF0A8IVmb+rhdkfAvd7fWqu76Y2aIPPaQimr+dbimopV2czheFjJREyffHqk3ACotHbmse6wAgGymXCO2zd2gFbU7OdrvzhyF1xjzIuSPmKt/e/KP39a0rustZ+9b7tzks5J0ujo6Dtv3LhxpPcFAC/waofWZpQrFEvZzJqy2dLjVCZX2a4jGNDYQKnpT7KqZHZsIKpox9Huu3LxgnrieAKcw/naeY3sgntL0smqn09Iun3/Rtba85LOS6VlWOrwvgDgOhqJ1P8i+l56o9IAqHpu5o3FNRWq0pmDXR1KJmL62JPDlUxmMhHTSE+kIdlMt7qWonnRkRZwDudr76hHAPotSQ8bY8YkTUv6lKT/pg6vCwCe1+qNRA4blOULRb11L1Mul90KNq8tpLWY3qhs194W0OmBTj16rEs//LbhrbmZiai6w6EdX/+wn2W3QJqLFwDwr1Y/X3vJkQNQa23eGPN3JH1FpWVYfsla+70jjwwAfKDVG4nsFZSlMjldK2cxS+Wypcc37qaVK2xlMwdi7RofiOkjTwzVZDNP9HaqzYG5mfsJpLl4aQ2UxQLNqdXP115Sl3VArbX/UdJ/rMdrAYCftHojkemljIa6O5TK5LSY3tC9tQ0tpjc0u5zVr756Uwur65VtgwGjU/2dSiZi+vCZodLczMGYkgMxxTvrm808qP1kN7l4aX6UWcOPuGmyP61+vvaSugSgANCq3O4Q66TV9Xw5g7nVBOjVa4u6t7ZR02m2IxhQX7Rd7394oJzNLDUCOtnXqVBbwL0PsIv9ZDdb8eLFDxe29RwjZdbwG26a7F8rna+9jgAUAI6omRqJFItWt1OZB7rMXp1f1ezyVjazLWA02tephwZjupve0GBXh4bjYYXaAlrPFxty8dPIYGg/2c1Wu3jxw4VtvcdImTX8hpsmB9NM52s/IwAFgBa0tpGvBJbVf15bWFU2V6xs1xUOKpmI6bmHEpV5mQ8NRjXaF1V7sJTNrA4Mh7rDDcmSNToY2m92s5UuXvxwYVvvMVJmDb/hpgn8iAAUAJqUtVZ3lrMPBJpX51Z1O5WtbGeMdLK3U+OJqJ5N9tc0ARqItev1O8u6cHlW1xfS2sgXdao/Ugk+JWeCskYHQ62W3dwPP1zY1nuMrVhmDX/jpgn8iAAUAHwumyvo+sI22cz5VaU3CpXtou1tSg7G9O7xfo0PlBoAjSeiOt0fVTjUVtluM6P5m6/dUnub0ezyuk72dbpahulEMNRK2c398MOFbb3HyI0I+A03TeBHBKAA4APWWs2vrFctZ7I1R3N6KSNb1QRopCei8URUL06eLHWaTcSUHIxpsKtDxuy+pMn9pa4Xr8xrYXVdc8tZ5a1VdzikY90djpdhuhUM+aEJT6P44cK2EWPkRgT8hJsm8CMCUADwkPV8QTfurm2tnTm3qqsLaV2bW9XKer6yXSTUpvFEVO8Y7dVff+eJStns+EBMkfa2Xd5hd/eXuq5kc0pn88oXrE71dyqbK+j1OytayxX2eKX6ciMY8kMTnkbyw4WtH8YINBo3TeA3BKAA4DBrrRbTG1XZzNXK47cW12qWNDnWHVZyMKpPPj1SKZtNJmI61h1WILB7NvMw7i91zeaLCrYZFayVMUbhUJvW80WlMvldXqX+3Ag0/NCEZ78Om8n1w4WtH8YIANhCAArAd/xSFpkrFGuymZtraF6dTyuVyVW26wgGNDYQ1cTxuD7x9uOluZkDMY0loop1OPtr+v5S1462gNbWC+oIlgLn9XxRslJ32PnTh9OBhh+a8OxHq2dyAQDeQgAKwFe8eDG9tLZRCSxLXWZLy5ncvLumfFU6M9HVoWQiqo8+OVyal1men3m8J6K2BmQzD+P+UtfuSEgb+aL6Yu1aXS8oFg7qVF+nxhIxl0faeH5owrMfzZTJBQD4HwEoAF9x62I6Xyjq1r1MpfHPVhOgtBbTG5Xt2tsCOtXfqUcGu/RDE8c0PhCrdJvtDod2eYf6OGp2+P5S1yeOd1e64FbPvTw7MeSbTPRh+aEJz340SyYXe2v2f5MAmgMBKABfafTFdCqT07X7usxem0/rzbtp5Qpb2cxIqE3JRFQ/+PhQuctsqQHQid6Igm2BXd6hceqVHb6/1PX+i9rNAMxrmeh6a5YGN82SycXuvFgdAnjVbjdruJHTeASgAHylHhfThaLV7aWM3phf1dW5VV1bSOsvbi3p6nxaa1XrZgYDRqP9nUomYnrqZI+uzq/qWDyskZ6IcgWrVCanz7z3lGdOTI3KDm839/LlV660RFlnMzS4aZZMLnZHqTWwP7vdrJGa/+aqFxCAAvCVg1xMr67na7KZlT8X0trIFyvbxTqCag8GdLwnosGuDoVDbQoY6ac+9JDedqJXUinginYEawJfyVsXd06WWrZaWaef74g3Syb3IPy8vw6r1f5NAoe1282azZ+5kdNYBKAAfOX+i+nj8bB+4NEBza9s6NVr16uWNknrznK28v8FjDTaV8pmvv/hgXLZbEzjA1H9yn95U8vZfE1wmcrk9NWp+UoA6oeLOydLLVuprLMZShubIZO7X82wvw6jlf5NAkex1/nc6+f6ZkAACsAXMhsFXVsod5otl81enVvV7/35bWW/vpXN7AoHNZ6I6b0P9dd0mh3t71RHsG3b176dyu55wvHDxZ2TpZatVNZJaaO/tOr+aqV/k8BR7HU+9/q5vhkQgALwDGutZpfXyxnM1ZpsZnUwaIx0ojeiZCKm94z3KzlYCjLHE1ElYh0y5mBLmuwnuPTDxZ2TpZatVNbph+w3trTq/mqlf5PAUex1Pvf6ub4ZEIACcEyhaDW3ktXtpYxuL23+mdHtVOnxmwtppauaAEXb2zSeiOmZ0736VOKkxsvdZk/3RxUObZ/NPIz9BJd+ubhzstSyVco6/ZD9xpZW3l+t8m8SOIq9zud+ONf7nbHW7r1VnU1OTtpLly45/r4ADuYojTxyhaK+/GfT+sYbC5pJlQLOO8tZFYq1v3O6wkEdj0c03BPW6f6okoloKdBMxDTUffBs5mG1YtMS7E/1nMLqGxTNPqfQr9hfAOANxpjXrLWTDzxPALozLkjRyg57EVcoWv32t6f1C1//K924u6bj8bBG+zt1PB7R8Z5SoHm8J6KRnoiG42F1hUM7vpaX+e33g9/G6zV8f/7C/gIA9xGAHhB3UNHqXn7lygNlbJs/f+6FRx7Yvli0+v2/mNHLX72ia/NpPXG8W//jC4/og48NOpbFdIrffj/4bbwAAMD/dgpAmQO6g1btogdsOkgjjz+7eU//4D/8hV6/s6JHhmL6lz/xtE72RfSH35vTH1y+03QZCL/9fvDbeAEAQPMiAN1BK3XRo1TJ29zaP/tt5PHdt5b0N7/4TcUjIf38p57Sx548riuzy029Dp/ffj/4bbwAAKB5BdwegFeN9ES0ks3XPNeMXfQ2S/NSmVxNoDA1k3J7aJC7++fsxJBSmZxSmZyK1lYen50Yqmzzl3dW9Jlf/qZ6oyH91v/wXn3iqRG1BUxNxi1gTOXxhcuzDR+3E/z2+8Fv4wUAAM2LAHQH+7n4bgbNHij4nZv7Z7NNeTwS0kwqq3gkVJPBvL6Q1t/4xVfVEQzoV3/yPTpWlWGbXsqoK1xbYNFMGTe//X7w23gBAM6amknp5Veu6PO/8V29/MoVEhFoKEpwd+CXNf8OYrtSTkrzvM3t/bPTmnLTSxn9xC++qqK1+j8+PqHf+rNbNcdVs6/D57ffD34bL+pjv+X7TMMAWlt1o7pmnDYD76ELbovYqQtmZyigULBt351O4ayDdqJ1wvzKuv7rf/UnWlhZ1//5oxP6+uvzDxxXHz6T0FenHnx+p5MZF8BAfe238zEdkgF48VoDzWGnLriU4LaInUo5rURpnod5rXRyaW1Dn/7iq7qTyupLf+sZvTGX3va4ujKb3rV8t5ob81wpNUKz22/5PtMwADT7tBl4DwFoi9jpl8tGwe47UIDz9pqH6aTV9bw+88vf0rX5tP7135zUO0/17XrSOjMc1+deeET/9MW363MvPLLjmJ2+AKbxFlrBfi8oufAEQKM6OI05oC2i2efkNbOd5mE6KbNR0E9+6Vu6PJ3Sv/gbT+u5hwck1ee4cnqeK2tiohXs998m5wY0K6Z27N/ZiSGdv3hdkmpK8V965oTLI0OzIgBtETv9cnnmdA8Tzz3MjRNo9Xsej4cV7wzpS//lTd26l9HPvfSUfvCJY5Vt63HScvoC2O3GToAT9vtvkwvP1tBqwRhNdQ6GRnVwGk2ImtR2JxtJDzx34fIsE8894v599shQ9ECNfOo1hvMXr6u9LaCltQ19881F3VvLabSvU//kx57Us8n+Pcd90Asbp5ug0GwBrYIuuJBas9EUv+cBb9ipCREZ0Ca0252/+3/xfvEbb/oiG9TsF0jb7bMvfO2qHj0Wa2ip6Hq+oDfmVvX6zIpev7Osr3xvVnMrWWVzRUlSb2dIzz00oKdO9mwbfEpHLxF2+s4rGR+0iv3+2/RCmT8apxWnHVDpAngbAWgTOsjJxg/zf1qhlGa7fZYvWs2ksjo9EKtsd9gTqLVWd5azen1mRVN3lisB57X5tPLFUhVEezCgaHubxgaiSsQ6lOjq0EhPRHMrWX3t9VndWc42LPg/zAXwYW9KUGoEoJW0YjDmh2sboJURgO7Bj5m3g5xsGpUNquf31gp3b7fbZ33RkO6mN2qe2+4EWv1dD8fDeuepHrW3tenNu2u6MruiqZllvX5nRalMrvL/jPREdGa4Sz/4+DE9Ntylx45163R/p77w9TdqTtrzK1l96/o9xcJBTwX/R70pQcYHQKtoxWCMShfA2whAd+HXzNtBTjaNyAbV+3trhbu32+2zY91hLZdPmtUn0I89eUyXp1N6a3FNl24s6uuvz2s9X1B6vaDlbE7V07qDAaNEV4fel+zXs8l+PTbcrUeGumrep9r9J+3v3V6WlTQx0l1ZIkWqDf7duEnTCjclAKAeWjEYo9Kllh+TKWhuBKC78OtF7kFPNvXOBtX7e2uFu7fV+yza3qY7y1ndXdvQ06M9ujyd0p3lrDbyRWVyBX3529M1/29HMKCezpCGujv0yFBMG/miFtMbevdYv47FO7S6XlAqk9Pk6d49v//7T9q5gtW7x3s1ENu6AVAd/Lt1k2a3mxKcaAFgS6sGY1S6lPg1mYLmRgC6C79m3tw+2Wx+b/MrWb0xn9ZqNq9YR5u6d8i67aUZ796mMjm9tbimm1X/vXk3rWvzaS1nctpMYv6x7irUZnSit1PjiZhG+yIa7evUaF+nTvZ16vzFaxrt61TAmMpr/8nVBbUHAxrpLQXo8UhA0v5vAFSftDc7CVarDv7dukmz002J9jbDiRYA7kMw1rr8mkxBcyMA3YWfM29unmxGeiK6Pr+qK3Or6ggGFOto03I2r+VsXlMzqQOPy+2A+jDyhaJuL2VrAszqgPP+oK4v2q6TfZ16/pGERvsiOtUX1cm+To32d+pYd1htAbPt+5zujz5wjC6mc+qPttdsd9gbJ3sF/27dpNlpXJ2hACdaAADK/JpMQXMjAN1FM2benHB2Ykif+7U7kimVh67nS0t6PDoUO3Qg4MW7t6m1XE2AWR1kTi9lVChuTcYMtRmd7C1lLZ862VPJYJb+jKgrXL/scDBgHjjZHPbGyV7Bv1s3aXYa1xe/8ab6YrW/1jjRAgBalZ+TKWheBKC78GPmzQvODMd1sj+i1FpOK+t5dYdDmhjpVl+0w1eBQK5Q1O2lzPZZzLtrWs7ma7bvL2cxnzrZo4+//XipVLa/FGQO7ZLFPIrtjtHPfiipr07NP9C86LA3TnYL/r12k4YTLQAAW7x2ngYkydjqlpkOmZyctJcuXXL8feGczbmD1YHA5s+fe+ERF0e2xVqrVCa3Y5ns7aVsTRazvS2gE1VzMGuzmJ2KdTTufs5BG+s42YjHjaY/1U0Vqk+ojx2L6svfnlGuUFR/tF3D8bACgQBzQAEALYvmfHCLMeY1a+3kA88TgKIRdgoQnA4EcoWipu9ltg0wby6uaeW+LOZArL0SVFYHmKf6OzXUFVagAVnMvXjlu/SS7W5wbM47fmQwpjvLWS2mcwoGjD77oaQ++uSIi6MFAABoPTsFoJTgNpF63eHa7+vstp1T5cvWWi2t7ZbFzKgqian2YEAne0tZzMlTvVvBZn+nTvZ2KtrALOZh0cHuQds1VbiznFWuUNRYIqaxRExSKet+ZTatj7oxSAAAADzAe1fbHuKnkoV6rfO039fZz3b1ahy0kS9qeum+LObdrccr6/dnMTs02hfR5Klejb5jpCqLGdVgV4crWcz92u6Yo4Pdg7ab61nP7r9As/DTeQwA0BoIQHfgt4V765Ul2+/r1DMrZ63VvaosZnWAeXNxTTOp7bOYp/qjetdY330lsxF1tvvzsN7pmOsMBbSSzW/bWKdVLy4b3f0XaAZ+O48BAFqDP6/UHeC3ssd6Zcn2+zoHfb+NfFG37m03DzOjtxbXtHpfFjPR1aHRvs4HAszRvk7PZzEPa6djbiNfqKwbWj0H9JnTPS17celE91/A7/x2HgMAtAYC0B34reyxXstP7Pd17t/OWqv5lXW1GaPf+c50TZD51mJGt1MZVfe76ggGKoHlu8f6tgLM/k6d6K1fFtNPGcKdjrmZVH7b+bStfnG5XYn3eCLGsklAmd/OYwCA1kAAugM/rSc4NZPS/EpW33jjrno7Q3r8eJc6gsFDZX92Wy9qPV/Q9L2MbiyuKVco6Bt/taCNQlHpjbxSaznly3Wy/9+ltyRJg+Us5rurs5jldTETscZnMf1WfrbbMbddsPXFb7zJxeV9DjLv2E83J4DD8NN5DADQOghAd+CXhXurg6z3Jvs0NbOiP35jUe9/qP/AgZa1VomusN7/cL++8r1ZfevNUtayLSD95JcuaWY5W5PFbG8LKBYOqiMY0MTxuN6T7NMzp0vZzBO9nYq0tzXgE++fFzKEBwlyDnrMcXF5eH67OQEchl/OYwCA1nKkANQY86Kk/1XSGUnvstY2zeKeTi0jclTVQVY8EtJQ91ZQst1Ys7mCbt3LPLAe5ubPaxuFmu2HuktZzPck+2vmYY72dSrR1SFjvDsX0+3ys4MGOQc95ri4PDwv3JwAGs0v5zEAQGs5agb0sqQflfSv6jAWz6nXMiKNdH+QZa1VW0D681tL+u1vTz8QZN65L4sZDgUqAeWzVUHmqf5SFjMccjeLeRRuZwgPE+Qc5Jjj4vLw3L45AXe1Uvm1H85jAIDWcqQA1Fo7JcnTWbBmtJnFvLmY1vzKur5/e1nZXKlTaiqzNRfzP/3lvCTpWHdYo32dem9yoDwPM1JesqQ0F7NZ95/bGUInghwuLg/H7ZsTcA/l1wAAuMuxOaDGmHOSzknS6OioU2/rS9Zaza+ub5XJ3s3UlMneWc7WbN8WMOoKB9Xb2a6h7rCCbUY/9vSI3vfQgO+zmEfhdoaQIMe73L45AfdQfg0AgLv2DECNMV+VdGybv/oZa+3v7PeNrLXnJZ2XpMnJSbvH5k0vmyvsOA/z5uKasrlizfbD8bBO9nXquYcHKmWym51l51cy+sr35lqinOyg3MwQEuR4l9s3J+Aeyq8BAHDXngGotfbDTgyk2Wyui3lzhyBzdnm9ZvvO9rby3Muo3v9woibIPNEb2TWLmejq0OPHexr9kRxxkLlZXp/HRZDjbZQvtyYqEwAAcBfLsBxBZqOgW/fWdOPugwHmW/dqs5jGbM3FfH4zwOzfymL2R9ubdi7mfh1kbpZf5nER5ADeQmUCAADuOuoyLJ+U9AVJCUm/b4z5jrX2I3UZmQcUi6W5mKV5mA+Wyc6tbJ/FHBuI6r96JFETYI707J7FxMHmZnl9HpfXs7PA/VrlmKUyAQAAdx21C+6XJX25TmPxnD++uqBPf/GblZ+NkYa7S3MxP/BoQuFQm+aW17VeKOihREyffMfxpimFdcNB5mZ5eR7X7//5tL7w9avKFYrqj7Yrly/o/MU1z2VngU2tdsxSmQAAgHsowd3FmeFu/e+feGIri9kbUUewlMXcLAE9Fg9Xyrj+9R+92bQXbE44yNwsr87jmppJ6QtfuyoZqT/arvV8UX85u6pHh2Keyc4C1ThmAQCAkwJuD8DLBmId+vSzp/WBRwc1nohVgk+ptgQ0YEzl8YXLsy6O2N/OTgxV1jItWlt5fHZi6EjbOunC5Vnli1bd4aCMMQqH2tQRDGgmlfVEdha4H8csAABwEgHoIU0vZdQVrk0ge6UE1K8252bFIyHNpLKKR0I7ZpQPsq2Tppcy6ouGtJ7fakDVEQzobnrD9ewssB2OWQCAX0zNpPTyK1f0+d/4rl5+5YqmZlJuDwmHQAnuIXm1BNTvDjI3y4vzuEZ6ItrIFXRlblVS6UJ+OZtXqC3genYW2A7HLADAD/yyAgL2Rgb0kLxaAgp3nZ0YUltbQI8MxtQRDGgxnZOs9NkPJvnlCE/imAWA1uPHTCLT35oHGdBDopX//rTK0g6bqo+L9lCbnk02/2eGv3HMAkBr8Wsm0csrIOBgCECPwIsloF7i119wR8VxAb/hmAWA1uH1tdR3wvS35kEJLhqGUgkAAABv8WsjTaa/NQ8yoGiY/ZRKtFqJLgAAgJv8mklk+lvzIABFw+z1C65VS3QBAADccnZiSOcvXpdUSgysZPNKZXJ66ZkTLo9sb0wZaQ6U4KJh9iqVoEQXAADAWV5dSx2tgwwoGmavUgm6mQEAADiPTCLcRACKhtrtF5xf5yAAAAAAOBxKcOEaupkBAAAArYUAFK5hDgIAAADQWijBhauYgwAAAAC0DjKgAAAAAABHkAH1sKmZVE0H2bMTQ77JFvp57AAAAAAagwyoR03NpHT+4nWlMjkNx8NKZXI6f/G6pmZSbg9tT34eOwAAAIDGIQD1qAuXZxWPhBSPhBQwpvL4wuVZt4e2Jz+PHQAAAEDjUILbIEctQZ1eymg4Hq55risc1PRSpt5DrTs/jx0AAABA45ABbYB6lKCO9ES0ks3XPLeSzWukJ1Lv4dadn8cOAAAAoHEIQBugHiWoZyeGlMrklMrkVLS28vjsxFADR14ffh47AAB+NjWT0suvXNHnf+O7evmVK/RfAOA5BKANML2UUVe4trr5oCWoZ4bjOvf8mOKRkGZSWcUjIZ17fswXnWT9PHYAAPyKJoAA/IA5oA0w0hNRKpNTPBKqPHeYEtQzw3HfBm1+HjsAAH5UXYElqfLnhcuznJMBeAYZ0AagBBUAADitHhVYANBoBKANQAkqAABwGk0AAfgBJbgNQgkqAABw0tmJIZ2/eF1SKfO5ks0rlcnppWdOuDwyANhCAOqQo64LCgAAsJvNCqzq642XnjnB9QYATyEAdcBmV7p4JFTTlY6yXAAAUE9UYAHwOuaAOqAe64ICAAAAgN8RgDqArnQAAAAAQADqCLrSAQAAAAABqCNYFxQAAAAACEAdwbqgAAAAAEAXXMfQlQ4AAABAqyMDCgAAAABwBAEoAAAAAMARBKAAAAAAAEcQgAIAAAAAHEEACgAAAABwBAEoAAAAAMARBKAAAAAAAEcQgAIAAAAAHEEACgAAAABwBAEoAAAAAMARBKAAAAAAAEcYa63zb2rMvKQbjr/x/gxIWnB7EHgA+8V72Cfewz7xJvaL97BPvIn94j3sE+/x0z45Za1N3P+kKwGolxljLllrJ90eB2qxX7yHfeI97BNvYr94D/vEm9gv3sM+8Z5m2CeU4AIAAAAAHEEACgAAAABwBAHog867PQBsi/3iPewT72GfeBP7xXvYJ97EfvEe9on3+H6fMAcUAAAAAOAIMqAAAAAAAEcQgJYZY/4vY8zrxpg/N8Z82RjTU/V3P22MecMY85fGmI+4Oc5WYox50RjzPWNM0Rgzed/fsU9cZIw5W/7u3zDG/H23x9OKjDG/ZIyZM8ZcrnquzxjzijHmr8p/9ro5xlZjjDlpjPlPxpip8u+unyo/z35xkTEmbIz5pjHmu+X98g/Lz7NfXGaMaTPGfNsY83vln9knLjLGvGmM+QtjzHeMMZfKz7FPXGaM6THGI8ofzwAABHRJREFU/GY5Tpkyxjzr9/1CALrlFUkT1tonJV2R9NOSZIx5XNKnJD0h6ayk/8cY0+baKFvLZUk/Kuli9ZPsE3eVv+t/LumHJD0u6cfL+wTO+pJKx3+1vy/pa9bahyV9rfwznJOX9PestWckvUfS3y7/22C/uGtd0gettW+X9JSks8aY94j94gU/JWmq6mf2ift+wFr7VNUyH+wT9/28pAvW2sckvV2lfzO+3i8EoGXW2j+01ubLP/6ppBPlx5+Q9GvW2nVr7XVJb0h6lxtjbDXW2ilr7V9u81fsE3e9S9Ib1tpr1toNSb+m0j6Bg6y1FyUt3vf0JyT9Svnxr0j6EUcH1eKstTPW2j8rP15R6SJhROwXV9mS1fKPofJ/VuwXVxljTkj6qKRfrHqafeI97BMXGWO6JT0v6YuSZK3dsNYuyef7hQB0e39L0h+UH49Ieqvq726Vn4N72Cfu4vv3riFr7YxUCoYkDbo8npZljDkt6R2SXhX7xXXlUs/vSJqT9Iq1lv3ivp+T9D9LKlY9xz5xl5X0h8aY14wx58rPsU/cNS5pXtIvl8vVf9EYE5XP90vQ7QE4yRjzVUnHtvmrn7HW/k55m59RqYzqVzf/t222p3Vwnexnn2z3v23zHPvEOXz/wC6MMTFJvyXp71prl43Z7p8MnGStLUh6qtzf4cvGmAm3x9TKjDEfkzRnrX3NGPMBt8eDivdZa28bYwYlvWKMed3tAUFBSU9L+qy19lVjzM/LZ+W222mpANRa++Hd/t4Y8xlJH5P0Ibu1Ps0tSSerNjsh6XZjRth69tonO2CfuIvv37tmjTHD1toZY8ywStkeOMgYE1Ip+PxVa+1/KD/NfvEIa+2SMeY/qzR/mv3invdJ+rgx5oclhSV1G2P+rdgnrrLW3i7/OWeM+bJKU27YJ+66JelWuWpDkn5TpQDU1/uFEtwyY8xZSf+LpI9ba9eq/up3JX3KGNNhjBmT9LCkb7oxRlSwT9z1LUkPG2PGjDHtKjWE+l2Xx4SS35X0mfLjz0jaqYoADWBKqc4vSpqy1v6zqr9iv7jIGJMoZz5ljIlI+rCk18V+cY219qettSestadVOod83Vr7E2KfuMYYEzXGdG0+lvSDKjWDZJ+4yFp7R9JbxphHy099SNL35fP9YrYSfa3NGPOGpA5Jd8tP/am19r8v/93PqDQvNK9SSdUfbP8qqCdjzCclfUFSQtKSpO9Yaz9S/jv2iYvKd61/TlKbpF+y1v4jl4fUcowx/17SByQNSJqV9LOSflvSr0salXRT0ovW2vsbFaFBjDHPSfojSX+hrXlt/0CleaDsF5cYY55UqUlHm0o33n/dWvu/GWP6xX5xXbkE9/PW2o+xT9xjjBmX9OXyj0FJ/85a+4/YJ+4zxjylUrOudknXJP23Kv8uk0/3CwEoAAAAAMARlOACAAAAABxBAAoAAAAAcAQBKAAAAADAEQSgAAAAAABHEIACAAAAABxBAAoAAAAAcAQBKAAAAADAEQSgAAAAAABH/P9Rm8dMku3OjgAAAABJRU5ErkJggg==\n", 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" ] @@ -148,7 +148,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "tensor(0.5057)\n" + "tensor(0.5151)\n" ] } ], @@ -179,7 +179,7 @@ }, { "cell_type": "code", - "execution_count": 398, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -216,7 +216,7 @@ }, { "cell_type": "code", - "execution_count": 411, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -243,7 +243,7 @@ }, { "cell_type": "code", - "execution_count": 412, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -262,14 +262,14 @@ }, { "cell_type": "code", - "execution_count": 413, + "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "tensor(0.5246)\n" + "tensor(0.5138)\n" ] } ], @@ -280,7 +280,7 @@ }, { "cell_type": "code", - "execution_count": 414, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ @@ -294,22 +294,22 @@ }, { "cell_type": "code", - "execution_count": 415, + "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 415, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -349,77 +349,21 @@ }, { "cell_type": "code", - "execution_count": 369, + "execution_count": 33, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# def f(x, sigma=0.07):\n", - "# return (x**2 + x) / 3500 + torch.randn_like(x) * sigma\n", - "\n", - "# plt.scatter(X, f(X))\n", - "\n", - "# Y = f(X)" - ] - }, - { - "cell_type": "code", - "execution_count": 372, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor([[ 0.2131, 0.6623, -1.0420, -0.2947, -0.2779, -0.3666, -0.1316, -0.5020,\n", - " 1.4475, -0.7042],\n", - " [ 0.2131, 0.6623, -1.0420, -0.2947, -0.2779, -0.3666, -0.1316, -0.5020,\n", - " 1.4475, -0.7042],\n", - " [ 0.2131, 0.6623, -1.0420, -0.2947, -0.2779, -0.3666, -0.1316, -0.5020,\n", - " 1.4475, -0.7042],\n", - " [ 0.2131, 0.6623, -1.0420, -0.2947, -0.2779, -0.3666, -0.1316, -0.5020,\n", - " 1.4475, -0.7042],\n", - " [ 0.2131, 0.6623, -1.0420, -0.2947, -0.2779, -0.3666, -0.1316, -0.5020,\n", - " 1.4475, -0.7042],\n", - " [ 0.2131, 0.6623, -1.0420, -0.2947, -0.2779, -0.3666, -0.1316, -0.5020,\n", - " 1.4475, -0.7042],\n", - " [ 0.2131, 0.6623, -1.0420, -0.2947, -0.2779, -0.3666, -0.1316, -0.5020,\n", - " 1.4475, -0.7042],\n", - " [ 0.2131, 0.6623, -1.0420, -0.2947, -0.2779, -0.3666, -0.1316, -0.5020,\n", - " 1.4475, -0.7042],\n", - " [ 0.2131, 0.6623, -1.0420, -0.2947, -0.2779, -0.3666, -0.1316, -0.5020,\n", - " 1.4475, -0.7042],\n", - " [ 0.2131, 0.6623, -1.0420, -0.2947, -0.2779, -0.3666, -0.1316, -0.5020,\n", - " 1.4475, -0.7042]], grad_fn=)" - ] - }, - "execution_count": 372, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "class LinearVariational(nn.Module):\n", " \"\"\"\n", - " Mean field approximation of dense layer.\n", + " Mean field approximation of nn.Linear\n", " \"\"\"\n", - " def __init__(self, in_features, out_features, parent, bias=True):\n", + " def __init__(self, in_features, out_features, parent, n_batches, bias=True):\n", " super().__init__()\n", " self.in_features = in_features\n", " self.out_features = out_features\n", " self.include_bias = bias \n", " self.parent = parent\n", + " self.n_batches = n_batches\n", " \n", " if getattr(parent, 'accumulated_kl_div', None) is None:\n", " parent.accumulated_kl_div = 0\n", @@ -443,18 +387,7 @@ " self.b_p = nn.Parameter(\n", " torch.zeros(out_features)\n", " )\n", - " # learnable prior mixture parameters\n", - " # See 3.3. Scale mixture prior\n", - " # Weight Uncertainty in Neural Networks (Charles Blundell et al.)\n", - " # https://arxiv.org/pdf/1505.05424.pdf\n", - " self.pi = nn.Parameter(torch.FloatTensor([0.2]))\n", - " self.sigma_1 = nn.Parameter(torch.FloatTensor([1.]))\n", - " self.sigma_2 = nn.Parameter(torch.FloatTensor([.1]))\n", " \n", - " def log_prior(self, z):\n", - " return (self.pi * dist.Normal(0, self.sigma_1).log_prob(z).exp() +\n", - " (1 - self.pi) * dist.Normal(0, self.sigma_2).log_prob(z).exp()).log()\n", - "\n", " def reparameterize(self, mu, p):\n", " sigma = torch.log(1 + torch.exp(p)) \n", " eps = torch.randn_like(sigma)\n", @@ -463,10 +396,7 @@ " def kl_divergence(self, z, mu_theta, p_theta, prior_sd=1):\n", " log_prior = dist.Normal(0, prior_sd).log_prob(z) \n", " log_p_q = dist.Normal(mu_theta, torch.log(1 + torch.exp(p_theta))).log_prob(z) \n", - "\n", - " # reverse the elbo, as we need to maximize the elbo\n", - " # - (log_prior - log_p_q) = log_p_q - log_prior\n", - " return (log_p_q - log_prior).sum()\n", + " return (log_p_q - log_prior).sum() / self.n_batches\n", " \n", "\n", " def forward(self, x):\n", @@ -482,41 +412,37 @@ " self.parent.accumulated_kl_div += self.kl_divergence(w, \n", " self.w_mu,\n", " self.w_p, \n", - " 1.\n", " )\n", " if self.include_bias:\n", " self.parent.accumulated_kl_div += self.kl_divergence(b, \n", " self.b_mu, \n", " self.b_p,\n", - " 1.\n", " )\n", " return z\n", - " \n", - "m = LinearVariational(2, 10, parent=d)\n", - "m.forward(torch.ones(10, 2))" + " \n" ] }, { "cell_type": "code", - "execution_count": 416, + "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "tensor([[0.2831],\n", - " [0.2831],\n", + "tensor([[0.2807],\n", + " [0.2807],\n", " [0.2828],\n", - " [0.2819],\n", - " [0.2813],\n", - " [0.2810],\n", - " [0.2799],\n", - " [0.2791],\n", - " [0.2789],\n", - " [0.2786]], grad_fn=)" + " [0.2903],\n", + " [0.2968],\n", + " [0.3007],\n", + " [0.3134],\n", + " [0.3250],\n", + " [0.3283],\n", + " [0.3316]], grad_fn=)" ] }, - "execution_count": 416, + "execution_count": 34, "metadata": {}, "output_type": "execute_result" } @@ -527,17 +453,17 @@ " accumulated_kl_div = 0\n", "\n", "class Model(nn.Module):\n", - " def __init__(self, in_size, hidden_size, out_size):\n", + " def __init__(self, in_size, hidden_size, out_size, n_batches):\n", " super().__init__()\n", " \n", " self.kl_loss = KL\n", " \n", " self.layers = nn.Sequential(\n", - " LinearVariational(in_size, hidden_size, self.kl_loss),\n", + " LinearVariational(in_size, hidden_size, self.kl_loss, n_batches),\n", " nn.ReLU(),\n", - " LinearVariational(hidden_size, hidden_size, self.kl_loss),\n", + " LinearVariational(hidden_size, hidden_size, self.kl_loss, n_batches),\n", " nn.ReLU(),\n", - " LinearVariational(hidden_size, out_size, self.kl_loss)\n", + " LinearVariational(hidden_size, out_size, self.kl_loss, n_batches)\n", " )\n", " \n", " @property\n", @@ -550,7 +476,7 @@ " def forward(self, x):\n", " return self.layers(x)\n", " \n", - "m = Model(1, 20, 1)\n", + "m = Model(1, 20, 1, 1)\n", "m(X)[:10]" ] }, @@ -576,21 +502,21 @@ }, { "cell_type": "code", - "execution_count": 418, + "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "11374.8408203125\n", - "4694.74560546875\n", - "5758.109375\n", - "5817.72265625\n", - "4768.3720703125\n", - "4349.931640625\n", - "4380.0009765625\n", - "4547.62548828125\n" + "912758.8125\n", + "5630.6767578125\n", + "4918.69482421875\n", + "4853.455078125\n", + "4451.697265625\n", + "4369.171875\n", + "4522.48388671875\n", + "4442.5087890625\n" ] } ], @@ -604,7 +530,7 @@ " model.reset_kl_div()\n", " return (reconstruction_error + kl) \n", " \n", - "m = Model(1, 20, 1)\n", + "m = Model(1, 20, 1, n_batches=1)\n", "optim = torch.optim.Adam(m.parameters(), lr=0.01)\n", "\n", "for epoch in range(epochs):\n", @@ -620,41 +546,22 @@ }, { "cell_type": "code", - "execution_count": 420, - "metadata": {}, - "outputs": [], - "source": [ - "with torch.no_grad():\n", - " trace = np.array([m(X).flatten().numpy() for _ in range(1000)]).T" - ] - }, - { - "cell_type": "code", - "execution_count": 421, - "metadata": {}, - "outputs": [], - "source": [ - "q_25, q_95 = np.quantile(trace, [0.05, 0.95], axis=1)" - ] - }, - { - "cell_type": "code", - "execution_count": 422, + "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 422, + "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -666,18 +573,14 @@ } ], "source": [ + "with torch.no_grad():\n", + " trace = np.array([m(X).flatten().numpy() for _ in range(1000)]).T\n", + "q_25, q_95 = np.quantile(trace, [0.05, 0.95], axis=1)\n", "plt.figure(figsize=(16, 6))\n", "plt.plot(X, trace.mean(1))\n", "plt.scatter(X, Y)\n", "plt.fill_between(X.flatten(), q_25, q_95, alpha=0.2)\n" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": {