{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Machine Learning and Statistics for Physicists" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Material for a [UC Irvine](https://uci.edu/) course offered by the [Department of Physics and Astronomy](https://www.physics.uci.edu/).\n", "\n", "Content is maintained on [github](github.com/dkirkby/MachineLearningStatistics) and distributed under a [BSD3 license](https://opensource.org/licenses/BSD-3-Clause).\n", "\n", "##### ► [View table of contents](Contents.ipynb)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns; sns.set()\n", "import numpy as np\n", "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import torch.nn\n", "import torch.optim\n", "import torch.utils.data" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import mls.torch" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Design Patterns for Unsupervised Deep Learning" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Learning the parameters of a neural network requires a loss function that we can backpropagate to calculate parameter updates. In supervised learning, the loss measures how well a network transforms its input to a target output. For unsupervised learning, we do not have a target value, so instead we must somehow derive one directly from the input. Exactly how we do this will depend on the unsupervised learning task we are trying to solve.\n", "\n", "The unsupervised learning tasks that have been successfully tackled with deep learning are:\n", " - Learn a generative model from data.\n", " - Learn a probabilistic model from data.\n", " \n", "Recall that we already saw how to solve these tasks with scikit learn's density estimation algorithms (KNN, GMM, ...).\n", "\n", "We will warm up below with the \"autoencoder\" architecture, then study the following more advanced architectures:\n", " - Variational autoencoder (VAE)\n", " - Generative adversarial network (GAN)\n", " - Flow models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Test Problem" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We start by defining a test problem: learn a (generative and/or probabilistic) model of smooth 1D functions drawn from a Gaussian process prior." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def gpsample(x, ngen, gen, sig0=0.5, lam=0.5):\n", " \"\"\"Draw samples from a Gaussian process function prior.\n", " \"\"\"\n", " # Tabulate K for each pair of elements in x.\n", " xT = x.reshape(-1, 1)\n", " K = sig0 ** 2 * np.exp(-0.5 * ((xT - x) / lam) ** 2)\n", " # Generate random samples of f(x).\n", " mu = np.zeros_like(x)\n", " return gen.multivariate_normal(mu, K, size=ngen)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generate independent TRAIN and TEST samples from the same prior:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "N_train, N_test, D = 10000, 100, 128\n", "x_sample = np.linspace(-1, 1, D)\n", "gen = np.random.RandomState(seed=123)\n", "x_train = torch.tensor(gpsample(x_sample, ngen=N_train, gen=gen).astype(np.float32))\n", "x_test = torch.tensor(gpsample(x_sample, ngen=N_test, gen=gen).astype(np.float32))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Split into datasets. Note how we duplicate the input as the target, to define a supervised learning task that we can apply all of our previous machinery to:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "train_data = torch.utils.data.TensorDataset(x_train, x_train)\n", "test_data = torch.utils.data.TensorDataset(x_test, x_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define a plot utility that we wil re-use below to assess the quality of predictions $Y_\\text{pred}$ from different methods applied to the test data:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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867W5VYFZd8THO44N0dsd3MKW7Xw+j8bxg0ne9sAgsRUrNwvlBt98dZY3xjNYu3SFnBDi5tYSnP0j8N2GYSSXJvz/IPAPK69gGIaCu2Bg5bbxJeAXDcN4bOn4w8DfrqEdQojryJcbfOPkDJlCrX3ZSF+Etz4wIKsxN1E85ueJY0Pcvz/eXrnpLC0Y+PqJGbLF+ha3UAjRae46ODNNcxr4GPAU8ArwJdM0nzcM46uGYTy8dLUk0DBNs7bidhbwL4DPGYZxGjd4+8W7bYcQ4lqpXJVnXp1p7wupKgpHRuMcP5jYFdsvdRpVVRgbjvFdDw6R7Aq0Ly9W3AD61ISMogkhlq3p47Npml8CvnTVZe9a8fMCbrrz6tt9E3hwLY8thLi+ywslTpxLtedlenSVRw73ShqzAwT9Ht58fz8Tc0XeGM/Qsmx3scblHHOZCscPJumO+G59R0KIHU0+QguxQ1x5k3/JXGgHZn6vzluPDEhg1kEURWH/QJQnrxpFK5QbfPPkDKcvZTd8wZMQorNJcCbEDuA4DqcmspyayLQvi4a8vP3oILGwjMR0otDSKNoDBxJoS3PRbMfBnMzyjZMz7b07hRC7jwRnQmxzjuNw8kKac1PLe/cluwK87YEBgn6Z+N/JFEVhdDB6TfHaXKnO11+ZYWKugOPIKJoQu40EZ0JsY7bt8JKZYmK20L6sPx7kTff14dG1LWyZuBPhgIe3HhngyGi8XaDWsmxeObfI86eXi9kKIXYHCc6E2KZs2+GFMwtMpZaLyO7pDfPo4T5ZkbkNKYrCgaEYbz82RHRFXbTZdJmnXp5mIVe9ya2FEDuJvIILsQ1dCcxm0+X2ZfsGojx4KLlqKyax/cSW5gqODkbbl9UaLb792iyvj6el5IYQu4AEZ0JsM7bt8KK5OjAbG45x9EBcNi7fIXRN5YEDCR6/rx+fdzk9fX4qzzdOzlKQxQJC7GgSnAmxjVwJzGYWVwdm9+3rkcBsB+rrCfLk8SH6epZLoeRLdZ5+ZYbJ+d25F6IQu4EEZ0JsE7bj8NLZlARmu4zfq/Ome/s4cmD1YoGXz6Z4+WyKliVpTiF2GgnOhNgGHMfh5LlFpldM/h8bksBst1AUhQOD7mKBSHB5scDkfJGnX5mhUJY0pxA7iQRnQnQ4x3F4fTzDpRVprNHBGPftl8Bst4mFvDxxbJA9vZH2ZcVKg6dPznBprig10YTYISQ4E6LDmZM5Lkzn28cjfRGOjEpgtlvpmspDRpIHDyXbOwtYls2Jc26as9mSNKcQ250EZ0J0sAvTec5MZtvHg4kQxw4mJDATjPRFeOLY4KqaaJcXSjz9yjT5Un0LWyaEWCsJzoToUFOpEq9dTLeP+7qDPGQkUSUwE0uiQbcm2t6+5TRnqdrkGydnGJ+VrZ+E2K4kOBOiA6VyVV4+m2ofx6N+HrmnVyr/i2vomsrxQ0keMnrRr6Q5bYeT5xd50ZQ0pxDbkbzSC9Fh8qU6z5+ex7bdUY9I0Mtj9/a133iFuJ49vWGeODZIbEWaczpV4uuvTJOTNKcQ24q82gvRQSq1Jt95Y7492uH36jx+Xz9ej2xiLm4tEvTytqOD7BtY3vqpLGlOIbYdCc6E6BDNlsV33pin1mgB4NFVHr+/n6Bf3+KWie1E11SOjSV4+HAvHt19ibdXpTmtLW6hEOJWJDgTogNc2ci8uLRnoqoqPHpP36oUlRB3YjgZ5oljQ8TCvvZlbppzRtKcQnQ4+UguxBZzHIdXL6ZZyFbblz14MEmyK7CFrdqeHMeBVgOnVYdm3f3eauDYLbBaYDXdn20bcJa/o1BKBWkWa4CCoumg6qDpKKoOHh+K7gXdh+Lxu8dK53+2DQc8vP3oAK9fzDA+WwCW05xHRuPs649IWRYhOpAEZ0JssQszBSaW3jgBDo90M9wb3sIWdS7HcaBZw2lU3K96BZa+u5dVwb67tF2j6cMu3+aIkqKieAMoviB4g6j+CEogguKPgDfYUQGPpqocHUsQj/k5eX6RZstupzkX8zWOjSXa6U8hRGeQ4EyILTSbLvPGeKZ9PJwMY4x0bWGLOofTquNUCzjVIk61gF3N41SLYDW3umng2Dj1Mk7d3YR+VbEKTUcNxFBC3SihLtRgN/hCWx6wDSfDdIV9vHBmoV2kdjpVIleq88jhXpLJyC3uQQixWSQ4E2KL5MsNXjJT7RV08aif44d2Z/V/p1HFrmRxSlmcSs4Nypq1u7sz3YOi+1E8PtC9bjpS84DmWU5XKiooijsCpig4OIS7gjQyJXAcWEqDuunQJk6rsZwmbdZwmjcZYbNa2KU0lJYLCCseP0okgRpJoEQSKL7wlvydb5bmdDSNLr+2K59/QnQaCc6E2AL1psVzp+ZpWe6YS8jv4dF7+nZFkVnHbuFU8jilzHJA1qjc/h3oHje48QbbqUXF66YXFV8QRfPcVbu8yQgaxVtf8Uof2inVMk6tiFMtYleL0Lo2cHOaNZzMFHZmCgDFF0SN9aFG+1GiCXde2yZZmeZ85dwiLctNc754ep6uoEfSnEJ0AAnOhNhktu3wwukFKjU3PadrKo/d24fPuzNrmTlWC6eUxi4uYpcWcco5cG6jar2qofgjKMEoqj+KEnC/8Pi3fHRHUXW3LYHoNeecRhWnksMuZ5e+Z6C1OhXr1CtYC+NYC+OgaqjRXtSeIdRY/10Hl3fqVmnOrhWrPIUQm0uCMyE22evjaRbz7spMRVF4yEiu2rx6u3OsFk45g11I3X4wpmqowS6UcA9KsBs1GANfcFusiLya4g2geAOoXQMAOI7tpmmLi26AWlxcPW/OtrBzs9i5Wff3EOtD7dnjBmobPJJ6Jc352sUMqYIboJWrTb55cob7ZTWnEFtGgjMhNtHEXIGLMytXZnYxEA9tYYvWznEcnGoeOz+PU1jALmVuGYwp/ghKuBs12O0GZP7ohgciW0VRVJRgFwS70PrGcGwbp5zGzs9j5+fcRQ5X2BZ2dgY7OwO6Dy0+jBrf6warG0RT3aK1lZbD156/RMuy23tzpvM1jkqaU4hNt6bgzDCMHwF+BfAAnzJN87NXnf9V4CeB7NJFf2ya5mcNwzgGfAGIAt8AfsY0zdZa2iJEp8sUarx6YXmS+FAyzKE923NlptOsYxcWsAtuQHbTCfKAEoyhhhNLk+LjKPruTZkpqooSSaJGkjB8P06thJWdxs5O41Tyy1ds1bHmL2DNX0AJ96D1jqJ2DW1YELt3IMo7jg+tSnNOrUhzxiTNKcSmuevgzDCMIeCTwENAHfi2YRhPmaZ5asXVHgZ+yDTN71x1878Afso0zWcNw/gT4KeBz91tW4TodLVGixfOLLQ3M4+FfRw/uH1WZrZHx3Kz7ghZOXvT60swdvsUfxh9wIABA7tWxE5fxk5PujXbljilDK1SBsXzOmpyH1pyv1sMd52FAx7e9sAAr49n2rX3SkurOSXNKcTmWcvI2fcAXzNNMwNgGMaXgfcCH19xnYeBXzYMYy/uCNn/DvQBAdM0n126zp8Bv44EZ2KHsh2HF8+kqNbdwWGvR+PRe3rRtc5OFTm25c6Tys9i5+ZWBQtXUzw+lGgvarQPNdrrlrEQd0z1R1CH7sUZPIxTXMRavISdm1naycBd9WnNnMGaO4cWH0HrG0Pxr2/B4it7cyaifl45vyhpTiG2wFqCs0FgdsXxLPDolQPDMMLACeAXgPO4Qdi/Af7f69xu+E4eOB7fnOrpu7ko427uO6xv/18+s0C1ZRMK+VCAJx4aZjDRmTsA2M06UTtNMz1NMzuHYy3NNvAAKwIuRVHQown07j483QNo4e4dMaLSUc/73hgcOIDdqFKfu0h95gL2ygC5MoMyPosnOYx/zz3o4e41P+TK/ieTEQ7si/PMyWlyRTfNma00eel8mrceHaQ7uv4jd1upo/72W2A3978T+76W4EzF3ZTuCoUVhbJN0ywB77pybBjG7wL/EfjqzW53O9LpUjs9tFGSyQip1O3VPNppdnPfYX37P5Uq8dKZhfbxPXu78ThOR/1+nWbdTVdmpwnYBcqlGxR/1b2osX73K5qkpS+tMK0BtdKmtXejdPTzPjCCs38YOzeLNX9udVq5fB4mzqN2D6ENHka9TnmP23Gj/h8f7eH1ixkm5paK1pbr/M3XznLfvh5GB6M7Jijv2L/9JtjN/d/ovquqclcDSmsJzqaAt6047gdmrhwYhjECfI9pmv9x6SIFaC7dbuBGtxNipyhWGrxybrF93B8PdswCAKdRbQdkdintVsUHnNDqdKTiD6N2DbhlHcI927K0xU6hqCpazxBq9yBOaRFr7hx2fr593s5OY+dmULuH0AfvWbd0p66pHDuYIBFbTnPatsNrF9MsZKscP5TA75WF/0Ksp7X8R/0j8GuGYSSBMvCDwAdWnK8Cv2UYxlPABPAh4G9N07xkGEbNMIy3mKb5LeDHgf9vDe0QouO0LJsXzyws7wAQ8PDQoeSWjjI4zRp2dhorM4VTytzwekq4xw3Iuga2bJshcWOKorRXe9qVHNbMGbdGGoDjYGemaGRn0JL70QaNdVuMMdwbpivi40VzoZ3mnM9WeOrENA8eTNLXE1yXxxFCrCE4M01z2jCMjwFPAV7gC6ZpPm8YxleBf2ua5ouGYfxvwN8vnX8G+N2lm/8o8MeGYUSBl4HfX0snhOg0r1/MkC83ANBUhUcP9+LRN38HAKfVcEfIMlPYxVR7hGwVRUENx1G7B+k6cBCreEezDMQWUoNdqGNvwi5nsWbPYOfm3BOOjbVwASs9iTZwCK33AIq69udfOODh7Q8McvpSlnNTOQDqDYvvvDHHgaEY9+7r3hVbkAmx0RTnei/WnWsfMC5zzjbWbu47rL3/UwslXjSX55kdHUuwf+Du5gHdDcduYefmsTOXsQvz7ZV+qygqaiThjpB1D7bLMuzmv/1O6LtdymBNv+HuQrCC4guh7zmCEuu/4UjonfZ/IVflZTNFrbFcojIW9rk7XgS3144XO+Fvvxa7uf+bOOdsP24W8bbIRAEh1lGx0uCV88tvjMPJMPv6N34lkGPbOMUFrMyUm+KyrlPT+coIWc8e1O4BqT22A6nhHpRDb8XOz2JNncKpuW86Tr1M8/yzqLE+9D0PrMt8tN6uAE8eH+LEuRRzGXfj+nypztOvzHD//h6piSbEGkhwJsQ6uXqeWTjg4ejYxhWadRzH3cMyfRkrOwOt61fpV0LdaD3DqN1DKN7AhrRFdA5FUdC6BlGj/diLE7RmTkPLTbHb+XkaxX9C6zuINmCsOdXp82o8dm8f47NF3hhPY9kOlmVz8vwis+kyxw8mCfjkbUaIOyX/NUKsk6vnmT1yuHdDinU6jQrWlSryNyhhofgjqD1DaD171r1IqdgeFFV1t3zqGcKaPo21OOHOObRtrFkTOzuNPnIMNZpc2+MoCqODUeIxPy+ZCxSW/gcWslW+9vIUDxxIMJwMySiaEHdAgjMh1sHlhVK7DhTA/aPxdd2L0J1HNou9OHnDif2KN4DaM4zaM4wSiMmboQBA0X3oe4+hJvfRmjzZXqnr1Eo0zz6DmtiLPnz/mh8nFvLyxDF3scCF6QKO49Bs2bxkLjCbDnF0LIHPs/mLYoTYjiQ4E2KNipUGJzdgnlk7bbk4iZWdBqt57ZU0D1r3EGp8GCW8ffbqFJtPDXbhMd7upjqn3mg/n+zFSzTz8zS8bwHWtnBFU1Xu3x+nvyfIibOLlGvuY8wslskU6hwdizMQD621K0LseBKcCbEGGzHP7JZpS0VBjSRR4yPuxH5V/o3F7VEUBS25HzXWT+vya9jZacCtgVd64xma/j53Vae+ttWWiViAdxwf4o3x5Z0Fao0Wz52aZ29fhPtHe7aktIwQ24W8qguxBus1z8yxbez8HPbiBHZh4fppS38YNT6CFt+D4pWCn+LuKd4AngOPYuVmsC6dxGm6W3bZ6UmaxQX0vQ+ixvrW9Bge3d1ZYCAe5MS5xXbJjUvzRRZyVR44IKNoQtyIBGdC3KWZxfKqeWZHDtz5PDOnXsZavISdvoTTuM6elprH3bInPoIS6pG0pVhXWtcgajhB6/KrUHNr8zmNGs1z30brG0MbunfNKzr7eoJ814NDvHohzVTKHQmu1t1RtKGFBo60AAAgAElEQVRkmCOjPbL9kxBXkf8IIe5Ctd5aVc9sKBlmb9/tzTO75SjZlbRlYsTdQknSlmIDKboXz/6HCSt5qq98uz2KZs2fxy6m0EcfQfWvbQ6l16Px8OFeBuJBXr2Ypt6wAJhOlUjlqty3r4eRPtkqTIgr5FVfiDvkOA4vn03RaLpvMEGfztED8Vu+sbRHyRYvtd8AV1I8ftTEXrTEXhSfpHvE5vImhvHc+120Lr3c3gbKqeRpnnoKfeQB1PjeNQdPQ8kwya4Ar49nmJx3C+Q2mhYnzqWYSpU4OpYgHPCsuS9CbHcSnAlxhy5MF0jlqoA7wfrBQ0m8NygRcFujZNFe1OQ+1Gg/iuxLKLaQ4vGhH3gTduqiu6LTtsC2aE2cQM0voO89tubFAl6PxoOHkgz3hjl5bnlFZypX5akT09wz0s3oUBRVRtHELibBmRB3IFeqc+pSpn18cDhGouvaqvtOs461OIGdGsdpVK85r3j9qHEZJROdR1EUd6P0cILW+As4VXeEy85O0yxn0UcfRg3H1/w4vV0BnnxwiDOTy3XRLMvm9fE0lxeKHBmNX/d/S4j10LJsUrkqTRR0x+m4lLoEZ0LcppZl85KZwrbd0a+uiI/DI92rrmOXs1gLF7GzU9duOC6jZGIbUYMxPPe8A+vy61ipccAt89I0v4k2eA9a/6E1v6HpmlsXbSgR5pXzi+RL7hZk+XKDZ16bZTgZ5t59PQT98lYl1s5xHNL5GpcXSsykyzRbNqFQjsPDMfb0dtZOKvKMF+I2vT6eoVhxy2bomsrDRi+qqripy+w0Vupiu/r6SjKXTGxXiqq7qcxoL61LJ9w9Oh0Ha/oUTjmDvu+hNac5AbojPp44Osj56TxnL+fadQOnUiVmMxUODccYG46hyQcacRcKlQZTCyWmFkpU6q1rzltXf5DuABKcCXEbZtNlJmZXlM0YjRPSWrRmzmOnJq4/wT/cg5YcRe0eXHM5AiG2ktY9iBrqpjX+InbRXaVs5+ZonnkaffRR1GBszY+hqgqH9nSxpzfMG+OZdtkNy7I5fSnL5HyJ+0d76O8JdlwKSnSeesNiarHE5YUSuWL9utcJBTwcP9RLPNR5oVDntUiIDlOtt3jl3FLZDMdhJNJksHyaxvQsOFd94lJV1O5hd8PpUPe1dybENqV4A+iH3oI1fQpr7hywtD/nmafR9x5Hi+9Zl8cJ+HQePtzLvoEIr11It4s8l2tNnjs1T193kPtGe4gG1z5iJ3aWlmUzl6kwtVBiIVvFvk4xb69HYygRYk9vmO6Ij97eKKlUcQtae3MSnAlxE47jcOJcinqjRaieItmc4ZAf7OzqT+6KN4Ca3I+W2IfiWb8Nz4XoJIqiog/fjxLqpjXxMlgtdzXn+Is45Sza8P3rNpcyEQvwxPEhJmaLnJnMtkvXzGcrLLxcZU9vmMMjXQT9UnpjN7vePLKrqapCf0+QPb1h+rqDqGrnj7xKcCbETVy4nKE2c4491Sk8Vp09vWG0FUVh1UgCNTm6VCxW5sOI3UHrHkLxR2hdeB6n5o46WAsXsCtZPKOPonjXZ5WlqiiMDkYZSoY4fSnLpbkijuPgOA6T80WmUiX2D0Q5NNyFzytTB3aTQrnBVOrG88gA4lE/w71hhhKhG5Y76lQSnAlxHU6jSnHSpPz6a8Rttw5TT9TvrhpTNbSePai9+1GDXVvcUiG2hhqI4rnnCVoTJ5Y3UC9laJ7+OvqBR9el3MYVPo/GsbEE+/ojnJ7IMp+tAGDbDhem81yaK3JgKMbYUOyu9rYV20O13mI6VeZyqtRe2Xu1UMDDSG+Y4d4woW08qirBmRAr2JUc5TOnqI+fZXauALb7iczv1UnEY2h9o2jJUUldCgEomgd99BGs+W6s6TfAcXCaNZpnn0EfOYaW2Luuj9cV9vH4/f0s5qqcupQlU3AX4rQsG3Myy8RsgYN7utjXH0HXJEjbCZoti5nFClOpEov5Gs5tzCPbCQtGJDgTu57jODiFBXcvwcIC9ZCPdL5KreEGZpYeZOCBB/ENj8o+l0JcRVEU9P6DqMEut2htsw62TWviZZxqAW34PhRlfQOlRFeAt8X8zGUqnL6UpbC0aKDetHj9YprzU3kODEXZ1x+VkbRtyLJtFrJVLi+UmM9UsOxrAzJNVejbZvPI7oS804hdy61PNoU1dw6nulwmo1prks7XqHm6yAeGGTUOEd0j6UshbkaNJvEcfoLmhedwKnnA3TzdqRXRRx9B0dY3xaQoCgPxEH09QaYWSpyZzFFZ2gqq1mjxxniGc1N5Rgei7B+M4ttmc452G9txyORrTKXKTC+WrjuxX1EUEjE/w8kwg4kgHn3n/k0lOBO7jmO3sBcnsebP4dQrq87ZDoyXQ0x37aXuiRKP+RkdXnsNJyF2A8UXwmO83a2HlpsFwM7P0zzzNJ6xxzekCLOqKIz0RRhKhpiYK3J+Kk91aYJ4o2lxZjLLuek8I71hDgzFZGP1DnIlIJtJl5lZrLSzFVfrCvsYToYZSoYI+HZH2LI7eikE4FhNrNQ49vyFa4vGajpaYi/nyt3Maip1p46uqTx4KCkbMAtxBxRNRz/w2FI9tLMAONUijdNP4znwCGokuSGPq6kqBwZj7OuPcHmhxLnL+fam6pZlMz5bYGKuSF9PgNHBGMmYf0fMTdpubMchU6gxs3jzgCzo97AnGWKoN7wra9pJcCZ2PKdZx1q4gJW6CK3m6pO6D63vAFpyP4sli/MTs4RC7mT/I6Pxbb3aR4itoigK+vB9KIGou+2TbUGrTvPst9FHjqIl923YY2uqyr7+KCN9EaZTZc5P59sr+xzHYS5dYS5dIRzwsH8g2nF7Ku5Etu2wmK8yl6ncNCDzeTUG4yGGk2F6ojtjYv/dkuBM7FhOo4I1fx4rNeG+OaygeANofWOoiX0omk6zZXHi7Fz7fH9PkJE+edEWYi20+B4UX4jWhefc0WrHpnXpBE6t6Bas3cA3X1VR2NMbZjgZYjFf4/x0nvnM8jSGUrXJaxfTnLqU5fD+CrGALqNp66jZspjPuAHZfLZy3Tlk4AZkA/EQQ4kQ8ZhfMhVLJDgTO45TK9GaO4uduQxXbWir+MNo/YdQe/asKhr72sVMu5Chz6Nx7GBCXqSFWAdquAfPPU/QPP/s6oUCjSr6/gc3fAW0oigkuwIkuwIUKg0mZotcXii2gwXLspmYLVAu1wn6dPb0RRhOhojswlTaWpVrTeYy7shkOl+77vZJIAHZ7VjTf4VhGD8C/ArgAT5lmuZnrzr/PwK/DijAOPC/mKaZNQzjfcC/B+aXrvoV0zQ/tpa2CGFXC1izplsQ86oXBSUYQ+s3ULsHrlnWP5suMzm/vLfaw/f24dfkxUKI9aJ4g9cuFMhO02xW8Rx406bVDYwGvTxwIM69+7qZSpUYny2uKmZaqbcwJ7OYk1liIS+DiRBDybAsIriBRtMila+RylVJZavtOX7XE/R76O8JMhAPSkB2G+46ODMMYwj4JPAQUAe+bRjGU6Zpnlo6HwU+Bzximua0YRgfB34N+DngYeCjpmn+5zW2X4ibBmVqJIHWfwgl2nvdkbB6w+KV84vt4+FkmL39nbkRrhDbmbtQ4FGsqdex5i8ASzsKmN9wV3L6N28aga6589L29kXIlxvkaxZvnE+19+8E3MvLDU5fyhINeenvCdLfE6Qr4tu1gYVtO2SKNVLZKgu5KrlS47pFYa/ojvjc31s8RDTokWzEHVjLyNn3AF8zTTMDYBjGl4H3Ah9fOu8BPmSa5vTS8avAjy79/Ahw0DCMXwZOAh8xTTO7hraIXeimQVmsD23AuOkWMo7jcPLCIvWG+4Ls9+o8cGD9tpwRQqymKCr6ngdQvEFaU6+7OwrUSjTOfAPP2GPruuXT7bVHoSvs4+D+CMM9fuYyVaZT1xY+LZQbFMoNzl7O4fNqJGOBdqo06N+5s4NqjRbZYp1MoU6mUCNXql+3IOwVmqaSiPnbgexuKXuxEdbymxsEZlcczwKPXjkwTTMN/C2AYRgB4P8APrPiur8DfBv4DeAPWA7chLipmwZlXf1oA4dRQ923vJ/pxTIzi+X28fFDiW23Oa4Q25HWNwa+IK2LL65Yyfkt9H0PofUMbU2bVJWhhDsPqtmymctUmF4skcpWVwUk9YblbridKgEQDniIR/30RP10R31EAttzhKhl2RQrTXIlNxDLFOo3TVPCleDWS+9SoNoT9e+4Sv1bZS3BmQqsfGdUgGuWYxiGEcMN0k6apvnnAKZpvmfF+d8CLtzJA8fjmzP8nUxGNuVxOlEn9t0q56lOnqKZuoyDAysm7Hp7BvGP3Isevb1P3rV6i4uvzbXLZowNd3H/ob72+U7s/2aRvu9em9r/pEGrL0HpjW9iN5fmfc2fJBgC35Cx6QHO1X0fHIjxILiBWrrMdKrETKpErbF65bcDLJYaLJYaMAMeXaU7shysdUV8RILejtnr07IdCuU6+VKDfLFOrlQnf3qBUvWqQExT26+PK4WDHvrjIfp7gvTFQzti54VO/L9fS3A2BbxtxXE/MLPyCoZhDAD/Dfga8C+XLosBP2ma5u8tXU0Brl/05AbS6RL2TYZW10MyGdm18446re+3M1Jmhbqp1oHbbPcLZxbI5Nxl9UGfznBPoN3nTuv/ZpK+786+w1b134uz5000z30Hp+Y+duW159HmU2h7Hlj3PTlv5FZ996twoC/MaG+IfLnhToDPVUnna9dN8+XyVcZXHCuKQsCnEw7ohAMeAj7d/fLqBHwaXo+GpiprDkgdx6HZsqk1LWoNi3rDolpvUam1qNSblGstqrXWNasoQyEf5XL9mvvTVDft2xP10xP10R3x4fcuhw2FXOWa22w3G/28V1XlrgaU1hKc/SPwa4ZhJIEy8IPAB66cNAxDA/4e+GvTND+x4nYl4BcNw/i2aZrPAR9mKf0pxErrlb682vSi+yn4iqMHE7I5shBbRPGF8Bx+O60Lz2EX3cU51sL4UqmNR1C0zpm3dGWOWlfYx8HhLizbJldskCm6acBMsdaew7qS4zhUak0qtSYL2ep171tTFbweDY+uomsqmqqgqUo7TbgycLNsG9t2sJa+mi27/XWzCfo3oyoKoYCHaMhLT8QNyGIhr6Qpt8hdP+uXVmB+DHgK8AJfME3zecMwvgr8W2AP8CCgG4bx3qWbvWia5k8ZhvEvgM8tzUU7C/zEmnohdhQ3KDuDnZ25TlA24E70v4ugDKDetHj1wvLqzL19Efq6g2tqrxBibRTdi37wzbQmXsbOTAFg5+Zonn0Gz9ibUDz+LW7h9WmqSjzmJx5z2+c4DtV6y13pWWqQK9cpVppUaq1bBk2W7d62eu0A1roL+T1EQh6iQS/RoJd9I93UK3U0VT6kdoo1fSQxTfNLwJeuuuxdSz++iDsv7Xq3+yZu4CZE20YGZVe8diG9anXm/aM9a7o/IcT6UFQNff/DWN7g8p6c5SzNM0+jjz2OGohucQtvTVEUgn4PQb+HgfjyJu+WbVOutShXm5SrLaqN1lIg1qLWsGg0rZuugrwTuqbi92r4vBoBr47fqxHw6wR9OiG/h6Bfv2b+W3fET+oWk//F5uqc8WKxa7WDssz0NefWKygDt9js1Ip05rGDCTz69p/MKsRO0d6T0xekNXnSLbVRr7i10A68CTWS2Oom3hVNVdujVDfSsmwaTZtmyw3UWraDZbnpy3bY5gAK7XSnpihomopHV/EsfZc05M4gwZnYMpsVlIFbyfrk+XT7eE9vhP4eSWcK0Ym05H4Ub4DmxRfAakGrSfPct9D3PbxlpTY2mq6pSyNa8rYs5FkgtsBmBmVXvHYxQ63hLgr2e3WOSDpTiI6mxvrxGG+jde477qbptk3r4vPQPOLWSRNiB5PgTGwau5JfXn15lY0KygDmMhUuLywvlT46Fpdis0JsA2qwC8/ht68qtdG6/BpOo4I2fP+mldoQYrNJcCY23C2DssHDqMGuDXnsZsvi5FV7Z66cqCuE6GztUhvnn8UuuVMTrPkLOI0a+v4HUVR5GxM7jzyrxYaxKzms2bNbEpRd8frFDNW6m870eTWOyN6ZQmw7iu5FP/QWWuMvtV9P7Ow0rWYNfewxFP3aSvZCbGcSnIl1Z1dyWDNnsHOz15zbrKAMYD5b4dL8cjrzgQOJHbHViBC7kaJq6KMPY035sebdHf/sUprmmW/iOfg4ik9GxMXOIcGZWDd2OeumL7c4KAN3P7yT55bTmUPJMEMJefEWYjtTFBV9zwMo3iCty68B4NSKNM98A/3g45v2+iLERpPgTKyZXc5izZzGzs9fc07tHnQn+m/yi+YbExkqV9KZHo0HRiWd2ckcx6HlWLTsJi3bwnIsHMfBcmxsx8J2bOylY8exl2+orPxRaf+kKSqaqqEpWvtnXdFQFa3982ZvrC3Wj9Y3Bp4ArYkXwbZxmjWa5jfxjD6KGuvb6uYJsWYSnIm7ZpfS7kjZ1UGZorhBWb+BGoxtersWclUmZgvt4yMH4vi8ks7cLJZt0bAb1K0GDatB3WrSXHHcsJo07RYtu9UOxppO65pdITaSqqh4NA9e1YtX8+DVvCSbMaqlFl7NQ0DzE/AECOgBPDLhvCNpPUMoHh/NC89CqwlWi+b5Z9H3HkNL7N3q5gmxJvKqI+6YXUq7c8oKC6tPKApq95A7UrZFW620LJtXVqQzB+IhSWeuo5bdotqqUW3VqFk1aq06tVaNmlV3f7ZqNK3O3wbGdmzqrTp1ljcyzDtZKuVrNzb0qB4CHj8B3Q3WgrqfkCdExBvGr/lkBG4LqZEEHuPtbi20RgUcm9bEy26pjYHD8rcR25YEZ+K2OI6DU1jAmjuLXVxcfVJRUHuG3aDMH9maBi45NZGhsrRHnNejcXQsLi/Qd8B2bCrNCpVWlUqz6n5vVaku/dywGhv22Jqqo6sauqq305GKoqIpKurKrxW5zNVjbe7RlXSo5VhuWnQpTdpyLKylny3buu12Ne0mzXqTQr14zTmP6iHsDRPxusFa2BMm4g3j0268TY9YX2og6tZCO/8dnEoeAGvmDE6jij5yDEU28xbbkARn4qYcx8bOzmLNncWp5FafVBTUnj3oAwaKP7w1DVxhMVfl4syKdOZoHL9XnuJXcxyHutWg3KxQbpXd780KpWYZZcGmVKqu6f4VRcGrefFp3qW0oXf5eCmV6FF1dNWDR9XQVQ+6qqFuYkHRK6nXhtV0v+wGoaiHhXSOutWg0qy2Rwht58aBXNNukq1lydayqy4PeAJ0+WJ0+7ro9seIeiOb2r/dRvEG3N0ELjzfHtG3Fy+5pTZGH0XR5HVAbC/yjBXX5dg2dmYSa+4cTq20+qSiosaH0fs7IygDN515YkWx2f6eIMPJ3Z3OdIOwOqVmmWKj5H41S5QbFZr29VOPQc/N60Wpiopf9xPQ/fh1P37Nh1/34df87e8+zdvxo5WaqhFQ3TTlFcl4hC579ejYlUC22nKDNXdEsdL+nbbs1nXvv9p0RxtnS3MAqIpGzBehyxejyxcjHuiR0bV1pmge9LHHaU2ewF6cBMDOz7sLBQ4+juLxb3ELhbh9EpyJVRyrRW36LM0zJ3EaV42gqBpaYh9a/xiKt7M2DT99KUu56gYcHl3l6Fii4wOE9WTZFoVGkUKjuCoQu5v5Xz7dR1APEvS486sCepCgHiDo8ePTfLtqBEhRFDfo1H1cvbGY4zjUrBrFRplSs7T8e2+Urxltsx2LbC1HtrY8+hz1RUkG4iQCcbp9MTRVFq2slaKq6HsfxPIEsGZNAJxKjubpp91SG1s0F1aIOyXBmQDAaVSxFi5gLU5Q8ak4jRUTo3UPWnIUrfcAyi1GVrZCOl9blc68f3+cgG/nPrXrVoNC3Q3E8o0ChUaRcrNyR6sddVUn5AkS8oQIeYKEl77vHegll6ltYOt3DkVR2osEekm0L7cdm0KjSK6eJ1fLk63nqTQr19y+UC9QqBe4kBtHUzV6/N3tYC3sCe2qDxfrSVEU9KF73Vpok6+A4+A0KjTPfAPP6CNSakNsCzv3HUzcFruSw5o/j52Zhiv1o3xuAKZ4/Kh9B9CS+1E0zxa28sZals2JcymcpcCkrzvISF9npFrXQ9Nqkm8UyNUL5Ot5cvUCtdbtB0+6qhP2hoh4wu7EdU+YsDd0w1WGHs0DSHC2FqqittOXLA3U1K0GuVqObD1PppYjV8+1n7PgjnymKoukKm5qPugJMhDqoz/US8wblUDtLmjJfSheP82LL4DVAqvpltoYeQAtuX+rmyfETUlwtgs5joOTn3ODsqtXXgJaIIweP4yaGOn4TYXPTGYp7ZB05pURl2wtR77uBmTlZvn2bqwohD0hot4IEW+YqDe8VOrBv21/HzuJT/PSF+qlL9QLuEF3upZlsZomVU1fM7JWaVa4kBvnQm6cgCdAf7CXgVAfXb6Y/D3vgBrrd0ttnH92udTGpVdwaiW04ftQdlGKXmwvnf3OK9aV02pgpyexUuPXTvLHrRmk9Y0RHRujsXibQcEWyhRqXJheTmfet7+HoH/7PKUbVsOdh1TPk63lyNULN10ZeIWmaksBWISoN0LMFyXiCcucpW3Eo3noD/XSvxSsVZoVFqsZUtU0i9X0qoUG1WaV8fwlxvOX8Ok+BkJ9DIUHZETtNqnBmFtq48JzOGV3Va01fx6nXkbf/7Cs5BQdSZ6Vu4BdzmKlxrEzU3B1fSdFdav5942hhtwpz9vh06Rl25w4t9hODSW7Auzt29oaazfjOA7VVpV0LUumliVby9/WqJiiKES8Ebp8UWK+KF2+GGFPaFdNyt8Ngp4gI54gI9FhLNtisZZhrjzPfDm1amVtvVVnIj/JRH6SiDfMcGSIofCArPy8BcUbwHPorbTGX2zv/WvnZt2VnGNvAjr3tUPsThKc7VCO3cLOTLujZOXstVfQPe7Ky97Rjlt5eTvOTOYoVtyCqLqmcvxgZ6UzHceh3KqQqWXJVLOka9nbmisW9ATb85W6fFGi3oiMiO0ymqrRF0zSF0xiJ2wWq0uBWiW1qghwsVHidNrkTOYsfcEkw+FBksGEBO43oGg6+oHHsKbfwJo7Byyt5DzzNK3o9yBvh6KTyLNxh7ErOTd1mZ5095u7ihKMoSX3o/bs2bbD+dlinQtT+faxm87c+gULlWaVxVqadDVLupah3rp2K6CVVEUl5ou2C5V2+WL4danFJJapikpvMEFvMIHt2GRqWaZLc8yW57GWUp+O4zBXXmCuvIBP9zEUHmBvZJigZ/t96NpoiqKgD9+P4gvTmjwJjo3TqFI8+U9YyfvQeoa3uolCABKc7QhOo4qdmcLKXG5vX7KKqrl7Xib3oYR6OmqE6U656cwU9lI6MxELsK9/a1IS7qTuDItV9+tWaUpd1en2d9Hj7ybu75ZRMXFHVEUlsVRq4964wVx5nsvFmVW7E9RbdS7mJriYv0RfMMn+6Ag9/u5t/T+/EbTkPhRfkOaF58Fq4tgWrYsv4FQLaIOHt8XUDrGzSXC2TTlWCzs3i52exC6mrlvjSvGH0RL73FWXeufVJ7sbZy/nKZTd1I6mqRw/tHnpTNuxydXzpCppFmtpcvXCTWuLeVQP3f4u4oFuepaCMUk5ifXgUXX2RIbYExmi1CgzVZphqjSzPFrrOMyXF5gvLxD1RdgX3ctgqE8+DKygRnvx3PMErfPPAm6WwZo1cSo5d6GALvP4xNaR4GwbcewWTiGFlZ3Bzs24tXuupmqoXQNo8RGUaO+O+sScK9U5d3m5wvq9+7oJbXA6s241SFUWWaguslhN37Ti/pVCoolAD3F/DxFvWIIxseHC3hCHew5yqPsAqcoil4pT7XppAIV6kVdTr3Mmc5a90T2MRIbx75APa2ul+iN4Dj+BJ/0GlCeApS2fznwDfewxVL8sFBBbQ4KzDue0Gtj5eXeUrDB//YAMtwyGGh9B7R7s2IKxa2HbDifOLbbTmfGon9GB9d+KxXEcMpUcZ7MTpCqL5Bo3GR1TFGLeSDvVJFvwiK2kKmq7llqxUWKiMMl0aRZraYV2w2pwLnuBC7lxhiODHIjtk3lpgKJ7Cd/3VkpNL9bcWQCcWpHm6afxjD6MGuvf4haK3UiCsw7kNCrYuTk3ICsuLlfuv4rij6DG96D1DKP4dvYm3+emcuRLbspGUxWOH0qu26igZVuka1nmKwvMV1JoPqiUrz+Z36f76A0kSAYTxP09eHdgICy2v4g3zJHEvRjdB7lcnGaiMNleLWw7NpOFKS4XpxkKDzLWtZ/QLg/SFEVFH74PJRilNXHCLTm0tKOANngPWv+hHZWFEJ1PgrMO4FhNnGIau7CAXVzAqRZveF3FH0btGkDtHkIJdu2KF4x8uYG5Ip15z74ewoG1BUVNq8lCdZH5SopUZXFV0c+gb0XKR1Ho9nXRG0yQDCSIesO74ncudgav5uFA1z72x0aYKy8wUZhsb77uOA5TxWmmSjMMhQd4LHpki1u79bSePSj+CK3zzy3tKOBgTZ9y56HtPS7z0MSmWVNwZhjGjwC/AniAT5mm+dmrzh8DvoC7w9w3gJ8xTbNlGMYI8BdAL2ACP2qa5rUl63cop1nHLqfdgKyUdldY3mB0DEAJdbsBWdcAij+yq4ID23Y4cTaFbbupxZ6on9HBu0tn1q0Gc+V55soLpGuZVXsbruTTvHRH4vQGEiQCcRkdE9ueqqgMhvsZCPWRqWU5l7tIuppxTzoO08UZ/tu5NFGlm4Ndo0S8O2d/2julBrvw3PMOWhefb29vZ2dnaFby6KOPtIt1i+3NruSwpk9RnPHgxO/tuOzTXQdnhmEMAZ8EHgLqwLcNw3jKNM1TK672F8BPmab5rGEYfwL8NPA54A+BPzRN8y8Nw/j/27vz4Eiy+7Dz38y6T5yFG42+X5/TPUfPwTkoyZS5QTpkbphcLsUlGWtJFJfywV1rzd0VuZLp8GTO02IAACAASURBVMohysEN2aKlsCRTGzRDNrVBygpz1hHSSNQMZ3pmeqZ7+n594z4LR6HuI3P/yEIBjQa60UA3qgr1+0QguvNVJvAesgr1q3f83teBrwNf3WxdapVt21DMYWcSWOkF7NQcdnoOO5e+/4WmiRluXw7IvIHtqXANujG6wPzK4cwD7ZgPEZyuDMhmsrPrzh8LeoLlxJ8dHOzvI14H21cJ8bAMw6At0EpboJV4Zo4b87eYycQBsIHx5ATjyQl6wt2oln0NOyfN8PhwH3iR0shFSlM3AbBzKQr6b3D3HcOM7W2oD8k7iW1ZlCY0pfFrYFsUij5KxgjublXtqt1lKz1nHwFe01rPAiil/hT4JPCN8vEAENBany6f/x3gnyml/gB4BfjEivIfU8fBmV0qYufT2Lkk5Jx/7cwiVmYRHpCIdIkRbMKMdmBGYhiRtprfcHw7JFJ5rg4t53BSu1qIBB88rLAUkI2nJoln59YNyJp8UTqDHXSGYkQ8y8OVssJSNIK2QAttgaeZy85zff4WKZanU4wlx5lITTIQ7Wd/8x68Dbg9lGGauHc9gRFpc+ahlQpgWRSHzmMuzsgwZx2y0vMU77x/Vz5Qo5zhoNZsJQLoAcZXHI8Dzz7g8T6gHUhorYuryjesre3xdrmX0gny8VGaKGFbFlgWdimPXSw4qyeLeex8FiuXwcpnsddLr+ADfPcuWTcME1ekBXc0hrsphjvahumpraXtsVh1l5Bbls37NwcJBJw/fm1Nfl442Ydprv1ptVAqMJqYZGhhlMnkNDaACcFVwVx7sJW+aBd90W6C9+mRrHb7q0na3lhiRDjY389sZp7LU9cYW5yqPDZZnGBuLs6h9n3sb9uDewevRl733scOUervJXXlLYrJ8ofFfBzX8FuEDr2AO9q2fZV8jHbyc9+2SmSHr5IduoTHsCHkvN+6o+2EDj6LK1h7bd9KcGbi9IQvMQBrA4+vLmfVdQ8Ujycrc5AetdLMIMU77xMM+dZdsfdQXG5nVWWgCSPUghFqxvBHKZomOXBaPp8H8vf/PtsoFoswPb3+ooTtcH1knqEx59ONaRrsVzHi8bunJVq2xXQmzlhygsn0VCVlwF3KE/q7Q510hToIuP1gQ2qheFdPwUq10P5qkbY3ZtsBYrFmVPAwMbOLq7PXKwsH0uQ4nfiAc0Oagy376A1377je5Y3ce7v3WUojlyrDnKRyLL716o4Y5tzJz30rk6B4+z3s9PKiMkwX7t4jFDv2Eg0+3rabprGpDqWtBGcjwMsrjruAsVWPd6/x+BTQpJRyaa1L5XNWXldVdibx8BeZJoY36Hz5QxjeEIY/jBGIgjdY1y/aalhM57k6uGI4s7+ZaMjpAbNtm/ncAqPJccZTk3dtBL1Si7+F7lAn3aEO2a9SiIfQ6m/hhe5TTKanuDp7o7ItWbaY5fz0JW4vDHK4VREL7oweo40yTNf6w5yJKWeY0yN/a2qFbVmUJq9TGr8K1nL/jxFuxb37qZpPMLyV4OwvgN9QSsWAFPD3gC8uPai1HlRKZZVSL2qtfwJ8DnhVa11QSr0OfBr4HvB54NUt1OORcnXuB9vC67PJevNgmmCYzibhLo8zx8DlcbZD8vgxvH5weSUAe0Qs20k2Wyr3jDaHfRzoayZZSDGWHGc0OUG6sPaCiog3TE+4m95wFwF34y6iEGKrDMOgK9RJRzDG8OIo1+dvVbaGWswneWfiPbpCnRxuPUjQ01ivNVdLL2agicLtM9gp50OkNT9BPvka7t0ncTX3VLmGwlqcoTj0wd2dLaYLd89hzM59dbF36qaDM631qFLq14C/ArzAH2it31FK/Qj4P7XWZ4DPAv9OKRUF3gd+p3z5l4E/Vkp9DRgCPrOVRjxKhjeAe9cJwrEImR3azVvLbo0lmE04yTJtSsS6s7w1/g7zuTU2dAf8bj894S56w91EvbX9SUiIemMaJgPRfnrD3dxaGOTWwiClck7AidQk05kZ9jXtYW/TQEPtjmH4w3jUy5RGL1GaLA9zFnMUb7yN1T6Au//4jtyppdbZxRzFkUtYM4N3lRuhFqe3LPDod5V5XIz1cj3VqN3A7cc552zJTh6Df5BqtT2ZKfDae8OkrAQJe4ZgU5bW6L2rodymm+5QJ73hblr9LY+811LuvbS9EW2k/dliDj13nZHFu2eiBD1BjrQpOoOxx1nFx2Yr995KTDkrAPOZSpnhDeAeOFk3Wz/V+3Pftm2s+CDFkUtQXDHVxeXG3X3ovr1lj7vtK+ac7QHubPQ6ydcgakKqkOa/XrrIaHGMAjl8HhctkeVPOaZhEgu20xvupiPQ3lCf0oWoFX63jxOxY/RHerkUv0oi57yppQtpzkycpSMY40ibaqjtoMxoB54jP0Nx6AOs2REA7HyGwvW3MNv6nV402Wj+sbHSC5SGPsBKxu8qN1t6nN+9tz6fixKciaopWSUm09OMJMfQk6NMJZ25ZAYG3W0hDAOivij9kR56Qt2SqV+IGtHqb+HFnucYXhxFz92gUE4nNJWeZiYTZ1/zHvY17W6YD1GG24tn7ylKzT2Uhj/ALjjz86z4MIXEFK6+45itfTI3+RGySwVK49oZVl6xw47hC+LuP4HZXB+9luuR4Exsu0R+keHFMcaS4+RLefJFi+n55SGBjuYwqn03/ZE+mnwyj0yIWrQ0H6071Imeu8HQ4ijYNpZtcX3uJuOpSZ5oP0KLv7naVd02rtZezGg7xeELWPFhwNmur3j7DObMHVy7TtTVvKdaZNsW1swgpbErlSAYANPE1XkAV/fBHZHEvf5bIOpCySoxkZ5iMDFcyZ8E5S1j4ilsGwJGEz2hbj5+7Cgetzw1hagHXpeX4+1HnKHOmauVxTvJfJI3x99lINKHaj2AZwe8YW6E4fbh2fMMVksfxaFzlblo1uIM1uW/wtW5D1e3kgUDD8m2bezEFMWRi/ekvDIj7Tsu8G2MV4uomkwxw2BihOHF0TVzkqVT4M93EDPb8Zl+PnyoRwIzIepQs6+JF3pOMZgYQc/dcFZ12jaDiWGm0tMcbT9ctwsGNsNs7sIT+Vt3D73ZFqWJ61jxYVw9hzHbd9VFWodqs5JxSqOXKxvRLzG8QVy9R3bkkLG8C4pHzrZtZjKzDCaGmMzM3LO3pWmYdIY6aPN08MFYGm/5b9PB/maawjJxVoh6ZRome5p20RmMcTF+hem082aaKWY5M3GW7nAXR9sO4WuQvToNl8fZQaC1n9Lw+UpwYReyFAfPYkzdxN13FCPaueOCi0fBSs9TGruKNT9+9wMuN66ug7g69+2IIcy17MxWiarIlwqMJMcYSoxUsoqvFHD76Y/00R/pxevy8sb5cZYyojSFfRzsb5y5KULsZEFPgFOdTzKWmuByXFd6zceTE8xk4hxtO0RPqKthAhIz2IRx8CWs2RFKo5cqQ512JuGs6oy04+o+hBltnJ7F+7FSc5TG9b1BmWHiat+Fq+fwjt+NQYIzsWULuQSDiWHGUhNr7m/ZHmhjINpPR7C9siffjdGFSrJZ0zB46kD7upuaCyHqj2EY9Ia7iQXauDx7jdFybrRCqcC5qQtMhKY41n64cXrRDANXWz9mSzelyZuUJq5ByUnoay3OYC2+4QRpPYcwI40XpNm2jZ2coTR+DSsxdfeDhoHZ2oe7+xCG/+H3qaxHEpyJTVma4H8nMcR89t7s/R7TQ2+kh4FIH2Fv6K7HkpkCV+7MVo5lOFOIncvr8nIydoyeUBcX41fIFJxeo4nUJLPZOY63H6Er1FHlWm4fw3Tj7la42gcojV+lNDNY2fvRWpzB0m9ghFtxde7HbO7e8XPSbKvk9ChO3cRO3/teYrb0OL2KwaYq1K56JDgTDyVdyDC0uP4E/6gvwkCkn55wF+415gJYts3716Yre2fKcKYQjaEj2M7L/he4OnuNoYSTrDVfyvPe5Dl6Iz0cbVV4GmgFo+Hx4951ElfnAUoT1yjNDFXyddnJWYrJdzB8IVyd+zBb+519nXcQO5eiNDOINXPn7pQYUOkpc3Ud3FErMB+GBGfigWzbZjoTZygxvO4E/65QJ7uj/TT7mu47j2Tl3pkynClEY/GYbo63H6EzGOP8zOXKZuqji2PEM7OciB2lPdBW5VpuL8MXwj3wJK6ug5TGr1GaHar0pNm5FMWh8zByCbO1F1f7boxQa93O1bOtEtb8GNbM0L1DlwCmC1fbLlyd+xtm+HI9EpyJdS1N8B9MDJMupO95POD2syvaT3+kd0PzRhbTeRnOFELQEYzxSu+HuBy/ymjSmfSdLWZ5e/w9BqL9HGo9sGbP+05m+EK4dz+Jq/cwpalblKZvL+8TaZWcgGZmCMMfwWztw2zpqYteJdsqYSemKM2NORP8y7tJrGR4A5gde53gc4f1EG5WYz37xYbMZRY4P33loSb4P4hl25y9PiPDmUIIALwuDyc7jtMZ6uDizJXKNInBxDAzmVme7DhOk6/2g49HzfD4cfcewdV1ECs+RGnmzl1zsezsIqWxK5TGrmAEok6Q1tSFEWyqmflpdiGLlZjCWpjEWphcMyDDMDCjHZjtA5hN3RhmbdS9VkhwJgBngv94apLBxWHyrizp1N1zACoT/KN9hD2hdb7L+mQ4Uwixlu5QJy2+Zi7OXGYyPQ1AqpDizbF3UK372RMdqNthvK0wXG5cHXsxY3uw0/NYM3cozY5UVniCk4qjlElQGrsKbi9mNIYZ6cAItWAEItsWrNn5DFZqFjs1h5WYWnNi/xLDH8Zs24Wrrb9uNyXfDhKcNbi1JvgHQ8tDjVFfhIFoPz2htSf4b4QMZwoh7sfv9vF050lGkmNcimtKVhHLtrgSv8Z0Os6J2FH87p2d12o9hmFghFowQy24+o5jLUxgzY1hLUzAypGNYh5rdhRrdtQ5drkxg80YwWYMfwTDH8LwhcHj31Swa9s2WEXsXAo7s4idLX+l5rHz9057uasNvhBmSy9mS49TnwYMth+WBGcNaCMT/HvD3QxsYIL/g8hwphBiIwzDoD/SS4u/mXNTF1jIOfsnzmTivD56midiRxtq+6e1GC43rtY+XK192KWiE6gtTGInprAL2btPLhWdHQlWbXmE6cLw+MDtc/51eUjNhSkuZmGpp80qYZeKTvBXKmAXss73X9Frd/+KmpjhVoxoB2ZTJ0Zga+8jjUiCsway0Qn+T+5RLM7dmyZjM26NynCmEGLjwp4QH+p5lmtzN7m5cAdsm3wpz5mJswxE+zncehCX6ap2NavurkDNtrEzCezEVGV4cWkXgntYJexcGnJplj6W57I+SqumsjwU04UZasEItTpBWaRdNnbfIgnOGsBCLsGdxDBjyQkse+0J/ruj/cTKE/z9bh+LbD04S6TzXBmU4UwhxMMxDZNDrQdoD7RxbvpCJeXGYGKY2ewcT3Y8QcTb2KkWVjIMAyPYBMEmlsJWO5/BSs9hpxPYuSR2NomdS0Jxjcn5G2W6MLxBDH8YIxBd8W9UJvQ/YhKc7VArJ/ivl8G/L9LDrk1O8H8Qy7J5X0uyWSHE5rUHWnml9wXOz1xmMuXkxVrMJ/nJ2NscaVP0h3tluGwdhjeAyxuA5p5K2dK8MQo57KLzRbFAqDlIfnaxkgQX0w2mywnGXG5nnprHDy6P/L63iQRnO0y6kGZocfQ+GfyjDET76A11P9ahgWvD88wnnU+7pmnw9MGYDGcKIR6a1+Xl6Y4TDC+OcnlWU7JKlKwSF6YvM5uZ41j74YbLibZZhmGAy+MEWSz3PPpiEVzuxSrWTKwmz+gdwLItptMzDC6OMJ2JrznBvzvU+Ugm+G/E3GKOa8PzlePDAy1EQ5JYUAixOYZhsCvaR4u/mfenzpPMJwEYTY4zn0vwVOcTRL2RKtdSiEdHgrM6li3mGF4cZXhxhEwxe8/jAU+AXZG+DWfwfxSKJYv3r01jlQPEtqiffb2NtWGtEOLxiHjDvNjzLJfimpFFJ2VEqpDiJ6PvcLRN0R+RYU6xM0hwVmds22Y2O8fg4ggTqUlnDsFKhkEs0MZApK8ywX87XR2cYzHtDKe6XSZPqRim/LEUQjwibtPNidhR2vwtXIxfoWSVsOwSF2YuM5Od5Xj7ETwyzCnqnDyD60ShVGAkOc7Q4kilS38lr8tLX6SHgUgfQU91si7PzGe4Mbq8+ODonlZCfllOLYR49PoiPTT5opydOs9i+W/ieHKChVyCpzpO0OSTYU5RvyQ4q2G2bTOfW2B4cXTdfS5b/C0MRPvoCnZUNfdPoWjx/vXlZIedLUF2d8kfRyHE4+MMcz7HpfhVhsvDnOlCmjfH3uFY+2H6Iz0P+A5C1CYJzmpQvpRnJDnOyOJo5RPhSm7TTW+4m13RvpqZBHvxdpx01smf4/W4OHmgXeZ+CCEeO5fp4onYUdoCrVyYuVLe+qnE+emLzGXnONp2SJLWirojwVmNsGyLmcwsw4ujTKWnsZbyzawQ9UXYFemjJ9xdU3MqxuMpBieWl2E/sa+NgK926ieE2Pl6w900eaO8N/VBZerH8OIoC/lFnu54omrTPYTYjE2/gyqldgHfBToADXxWa51cdU438O+BLsACflVr/ZpSygPEgVsrTn9aa33vuN0Oly5kGEmOMrI4tuaKS5fpojvUxa5I77akwXhYuUKJD27EK8e9sTB9McncLYTYfmFviBd7nuXCzBXGkuMAJHIJ3hh9mxMdxxp+b05RP7bSvfFt4Nta6z9RSn0d+Drw1VXnfBP4c6317yqlFPBjpVQv8ATwltb6o1v4+XWrZJWYTE8zvDjKTHb2nrxkAM3+JvojvXSHumqql2wl27b54MYM2byzGa7f6+aJfW1VrpUQopG5TTcnY8do9TdzOa6xbIuCVeDMxFn2Ne/hYMu+bV/FLsTD2tS7frnn6xXgE+Wi7wA/5t7g7AfAa+X/3wD8QBg4BcSUUmeAIvBVrfWPN1OXerE0uX80Oc5YaoJC6d79zbwuL73hbvojvXWxb9zQZJKxmVTl+OSBdnwemdshhKguwzAYiPYT9UY4O3W+Mipxc/42C7kEJzuOb1vuRyE2w7gnT9YGlIcr39Va95WP3UBaa73us10p9VXgv9Fa/7RS6peBTuA3gWPAq8AxrfXMeteX7QZuP3SFq2gxl2RwfpShhVGS+fQ9jxtAZzjG3pZd9EQ6Metk89jFdJ5X37xDseTMjdvf38yzR7qqXCshhLhbrpjn7ZGzTCSnK2VBj5/n+5+iPdhaxZqJBrMHuLPRkx/Yc6aU+hTwrVXF14HVUd29M9iXv8dXgF8GPgygtf79FQ+fVUq9DbwI/NkG6kw8nsSyHj6ofBixWITp6c3tNZYr5RlPTThbi6yx6Tg42fv7wz30RXoIuAOQh3g8tea52+1BbbdsmzfOj7OQcD6NhgMe+lsDm/591Zqt3Pt6J21vzLbDzm6/Ch7Clfdyff422DZpcvyXhb/mcOtBdkd30dER3bFt34idfO8f5HG33TQN2toefiTsgcGZ1vr7wPdXli1N6FdKucqT+LuBsbWuV0r9FvBx4BWt9Ui57HPAm1rrm+XTDODecb46ki/lmUhPMZ6cJJ6dvTdzP+AxPXSFOugNd9Pqb6m5yf0bdW1ontlyYGYaBk+rDtyu+ujxE0I0HtMwOdiyn2ZfM+emL1AoFbBtm8txzVxugZ9pe7baVRTiLpuac6a1LiilXgc+DXwP+DzO0ORdyj1mPw28qLWeX/HQCeAF4MvlhQJPAq9vpi7VtBSQTaSmmMnE1wzITMMkFmynN9xNR6C97vPtzCayd21qfmighZaIr4o1EkKIjekItvNSz/O8P/UBC7kE4Owq8Je3fsLBoKqLub6iMWxlGeCXgT9WSn0NGAI+A6CU+hLQA/x6+SsB/LUTgwHwMeAbwB8ppS7iDI9+XmtdF32quVKeqfQ046nJdQMygBZ/M73hbrpDnXh3yMTTQtHiPb1iU/MmP/v7ZFNzIUT9CHoCvNB9iiuz1xhMDAOQyCX5yfw7PNF+hJ6wzJ0V1bfp4ExrPQj81Brlv7fisOU+3+KTm/3Z28m2bZKFFJPpaabS08zlFtZMfQFO+ovuUBfdoQ5nHtkOc/FWnFR5FwCP2+Tpg7KpuRCi/rhMF8faD9Pib+bCzGUASlaRs1PnmcstcLj1gKTbEFVVmwm0qsyyLaZSca7EbzOZniZduHeV5ZKdHpAtGZtJMTi5cheAdoKyqbkQoo71hruJeMPo1FXSqRwAdxYGy5unH8fv9le5hqJRSXC2ynxugTOT53D5qLxY72IYtPia6QrF6Ap2EvTs3IBsSSZX5NyN5SwnfbEw/R0yN0MIUf+i3ggf6XqZv7xymsnUFABz2TneGHubJ2PHaQtIug2x/SQ4W2VkcYxcMUfQtzzJ3WW6iQXa6AzG6Ai275g5ZBth2zbvX5smX3B21gr63JzYL7sACCF2Dq/Lw9MdJ7i5cAc9dwNsm1wxx9sT73Go9QB7ogN1u7pe1CcJzlbpDXczlZ4m5PETi3bQEYzR5m+p+1WWm3VzLMH0fAZwsm4/dTCGx92YvwshxM5lGAb7m/fQ7Gvi7NR58qU8tm1zJX6NuewCT8SO1uxWemLnkWfaKi3+Zn5m1ysNnZRvydxijst3ZivH+/uaaG/e+cO4QojG1R5o5aXe553FAVknbdBEapLFfJKnO09Iug2xLWQ5ilhToWhxRk9VdmJojvg4vOt+i2+FEGJnCLj9PN/9DLubdlXKUoUUPxl7m9HkeBVrJhqFBGfiHrZtc/7mDKnMctqMZ1QHpilzLoQQjcE0TI62HeJkx/HKtJaSVeLc1AUuxa9i2evuWCjElklwJu5xeyzB8FSycnxiXzvhgKTNEEI0nt5wNy/2PEfIE6qU3VkY4vT4GTLFbBVrJnYyCc7EXRbTed69MlE5HuiM0CdpM4QQDSziDfNi73N0hToqZXPZed4YPc1MZvY+VwqxORKciYqSZXFGT1MqOfPMIkEvx/dJ2gwhhPCYbp7qOMHhtoOVtBr5Up63J97jxvztdbfyE2IzJDgTFZduz7GQdBLvukyDZ1QMt0ueIkIIAU66jb1Nu3mu62l87nIuTNtGz17nvakPKJQK1a2g2DHknVcAMB5PcWtsoXJ8bG8bTWHffa4QQojG1BZo5aWe52jxL69gn0xN8cbY2yTyjZ2CSTwaEpwJ0tkiZ68vb8/U3xFhd1ekijUSQoja5nf7eb77aXY3DVTK0oU0b469I+k2xJZJcNbgLNvmPT111/ZMzx7rkq1KhBDiAZx0G4onO57AVd49YCndxsWZK5SsUpVrKOqVBGcNTg/OEU84y8FNw+Bp1YHPI9szCSHERvWEu3ix51lC3uV0G4OJYU5PnCFTzFSxZqJeSXDWwCZn0+jh+cqx2tVMW5O/ijUSQoj6FPGGebHnObrDXZWy+ewCb4y+zXQ6XsWaiXokwVmDSmcLvHdtunIcaw5woL+5ijUSQoj65jHdPBk7zuE2dVe6jXcm3uPq7HXZVUBsmARnDahkWbx7dXmeWcDndrZnknlmQgixJU66jQGe63pmOd0GcHP+dnlXARnmFA8mwVkDunR7lrlFJ5+ZaRicOtSBzyvzzIQQ4lFpC7TwUs/ztAeWE3nPZed5ffQ0k6mpKtZM1AMJzhrMyHSSW2OJyvHRPa20RmWemRBCPGp+t49nu55CtR6oDHMWSgXOTJ7jUlzLak6xLgnOGkginefcinxmPe0h9vZEq1gjIYTY2QzDYH/zHp7vfoaAe/mD8J2FQd4af5dUIV3F2olaJcFZgyiWLN69MkWx5ExIDQc8PHkgJvnMhBBiG7T6W3ip9wU6g7FK2UIuwRujpyVprbiHBGcNwLZtzl2fYTGdB8DlMjl1uBOPW26/EEJsF6/Lw9OdJznSpjAN5+9v0SpybuoCZ6cuyN6cokLenRvAnYlFRqaTleMT+9poCnmrWCMhhGhMhmGwp2mAF3pOEfQEK+VjyXFeH32LeGa2irUTtUKCsx1ubjHHhVvLCRAHuiLs6pR9M4UQopqafU281Ps8fZHeSlmmmOX0xHtcmb0miwUanARnO1g2X+SdK5NYlg1AU9jH8b1tD7hKCCHEdvCYbk7EjvJ05wk8Lo9TaNvcmr/Dm+PvsJhP3v8biB1LgrMdyrJs3r06RSZXBMDjNjl1qAO3S265EELUkq5QJ6/0vnBXTrREbpE3Rt/m9sIQtm1XsXaiGtybvVAptQv4LtABaOCzWuvkqnMGgIvAzXLRpNb6o0opL/CHwDNABvh5rfXVzdZF3OvCrTjxBWdDc8MweEZ1EA54qlwrIYQQa/G7/Tzb9RR3EsPlrZ5KWHaJy/GrTKanON5+hNCKOWpiZ9tKN8q3gW9rrQ8BZ4Cvr3HOM8D3tNYny18fLZf/IyCltT4MfAX4zhbqIVYZnFjk9vhyotnDAy10tsqLWgghapmzWGAXL/U+R9S3PDc4npnl9dG3uL0wKPtzNohNBWdKKQ/wCvCn5aLvAJ9a49RTwDGl1Dml1GtKqePl8o8D/wFAa/03QKzcEye2aDaR5YOby4lme2NhDvQ1VbFGQgghHkbEG+ZD3c+yr3kPlHNRlqwSl+Oa0+NnZC5aA9hsz1k7kNBaF8vH40DfGudlcYY+nwJ+G/hheUizp3zNkvWuFw8hkyvyzpWpuxYAPHmgXRLNCiFEnXGZLg61HuDFnmeJeJd70eay87wxepob87elF20He+CcM6XUp4BvrSq+DqyeoXjPs0Rr/RsrDn+klPpN4DBOULjyemOt69fT1hbe6KlbEovVT8qJUsniL94dxuVxEfK48HlcfPSF3ZueZ1ZPbX8cGrn90vbG1cjtr9W2x4iwr6eHqzM3uDx9oxKQDeeGSCYWONX7BM2BrY+O1Gr7t0Mttv2BwZnW+vvA91eWlYc140opl9a6BHQDY6uvVUr9Q5w5Z0uJtgygAIyUr1laKNC11vXriceTld6hRYg98gAAFFNJREFUxyUWizA9vfhYf8ajsrQDwNCkU1/TMDh5rItMMksmmX3o71dPbX8cGrn90vbGbDs0dvvroe0xo5unmiOcn77EfG4BgHRqirHZv2RP0wAHmvfiNje3xq8e2v+4PO62m6axqQ6lTQ1raq0LwOvAp8tFnwdeXePUDwO/AKCU+jDgAq4CPypfg1LqJSCrtR7aTF0E3B5fZHBy+cl1dE8rseZAFWskhBDiUYt4w7zQc4pDrQcxDRfgfDi/NX+HH4+8yURqUtJu7BBbWa35ZeCLSqnLwMvA1wCUUl9SSn2jfM4/Bn5WKXURZ87ZZ7TWFvCvAZ9S6hLwO8DntlCPhjYzn+Hiih0AdnVG2NsTrWKNhBBCPC6mYbKveTcv9z1Pq7+lUp4tZnlv8gPenTxLspCqYg3Fo7DpPGda60Hgp9Yo/70V/x8FfnaNc7LAFzb7s4UjmSnwztUprPInpZaIjxP722QBgBBC7HBhT4jnu59hJDnO1dlr5Et5AKbTM7yemWV3dBf7m/cs7zwg6sqmgzNRXblCidOXJsgXnP3X/F43zx7uxGXKDgBCCNEIDMOgP9JDZzDGtbkbDC6OgG1j2Ra3Fu4wkhxDteynL9KDach7Qz2Ru1WHSpbFO1cmSWYKALhcJs8d6STgk1hbCCEajdfl4Vj7YV7seZaWFUOd+VKeCzOXeX30NBOpKZmPVkckOKszzsrM5a2ZAJ46GKMl4qtirYQQQlRbs6+JF7qf4cmOJwi4/ZXyZD7Je5PneGv8XWazc1Wsodgo6WqpM9eG5xmeuntlZm97qIo1EkIIUSsMw6An3EVnMMathTvcXBikZDn54uey87w19i6xYDsHmvfS4m+ucm3FeiQ4qyMjU0muDC5/6hnoirC/V7ZmEkIIcTeX6eJAyz52Rfu5MX+bocRwJYHtdHqG6fQM7YE2DrbsI0btJWFtdBKc1YnZRJaz16crx7HmACf2ydZMQggh1udzeTnaptgT7efa3E1GUxNQnns2k4kzk4kzWhgmZnbSEYzJe0qNkOCsDqSyBd6+PEmpvCtCJOjl2cMdmKa8iIQQQjxY0BPkZMdx9hf2cmP+NqPJ8UqQNp2eZTA1TsgbYm90gN5wNy7TVeUaNzYJzmpcoVji9KVJcuWUGT6vi+ePduJxywtHCCHEwwl7QpyMHWN/8x5uLgVpZal8igszl7k6e53eSA8DkT7CXpnTXA0SnNWwkmXx9uUpFtNOckGXafDc4U5CfkkqKIQQYvPCnhAnYsc42LKfeWOG85lrFMsLBwpWgTsLg9xZGKQ10EpfuIeuUAeeTe7dWWvypTyjyQnGU5NEF/3sCxy4a3VrLdgZv+kdyLJt3tPTzCxkKmVPHozRGq2tJ5AQQoj6FXD72RU7TLvRxfDiKIOJYdKFdOXx2cwss5lZLsVddARj9Ia7afe31t2wp2VbzGTijCTHmUxNVRZH5Fw+/KVx9jfvqXIN7ybBWQ2ybZvzN+KMzSzvj3Z0Tyt9sYff2V4IIYR4EI/pZm/TAHuiu5jJzDK0OMxkerqSuLZklRhPTjCenMBtuokF2+kMxugItNfsFlElq8RMJs54eoqp1DQFq3DPOV6Xh1igvQq1uz8JzmrQ1aF57kwkKsf7e5skZYYQQojHzjAMYsE2YsE2ssUso8kJRpPjLOaX82sWrWIlUDMMgyZflHZ/G22BVlp8TVXrVbNtm0Q+STwbZyYzy2x2jpJVWvPcZl8TfZEenth9gIXZ7JrnVJMEZzXm9ngCPbScy6y/I8zRPa2yvFkIIcS28rv97Gvezb7m3STyi4wujjORnrpr2NO2beazC8xnF7gxfwvTMIl4wzT5os6XN0rIE8T9iOer2bZNppglkV9kIZdgPrfAQj5BoXRv79iSgNtPV6iTvkgPUa+T283r8gASnIn7GJ1Ocv5mvHLc2RLkyQOSd0YIIUR1Rb0Rom0RDrUeIFlIMZGaYjI9xUJ+sZKSA5y5XQu5BAu5xF3X+9w+Qp4QIXcAr8uLz+XD5/LidXkwDRPTMHEZrvL3sLGxKFkWRbtIvpQnV/7KFjOkCmlShQyWvXav2EohT4iuUAddoQ6avNG6eT+V4KxGTM9neO/a8vh+S8THKcllJoQQooYYhkHEGybiDXOgZS/5Up54do54ZpaZ7CypfGrN63LFHLlijtnHXD+vy0tboJX2QCvt/jaCnsBj/omPhwRnNWA+meOdK5NYK5LMPn+0C7dL9qUXQghRu7wuL92hTrpDnQDkSwUS+QTzuQQLuQUWCynShXSl4+FR/+ywJ0STL0qzr4lmX5SAO1A3vWP3I8FZlSUzBd66NEGh6Czr9XvdvHC0E5+nvpYpCyGEEF6Xh/ZAG+2BtkqZZVtkillShRSZYpZcKV8eqsxRsIpYtkXJtrBsC9u2y8OcBqbhwm26nGFQ04vX5cXv9hHyBAm5gzW7SvRRkOCsitLZAm9eGCeXd8bNPW6TDx3rIihJZoUQQuwQpmE6AZUnWO2q1A0ZN6uSTK7ITy5MkM45GZldpsHzR7qIhrxVrpkQQgghqkmCsypwArNxUllnya9pGjx7pJO2Jsn+L4QQQjQ6Cc62WS5f4s2LEyQzKwKzw510tkh3rxBCCCEkONtWuUKJNy+OVzYyNw2DZ1QHXa0SmAkhhBDCIcHZNikUS7x1cYKFlBOYGYbBUypGT3uoyjUTQgghRC2R4GwbFIoWb16cYD6ZA5zA7MkD7bKRuRBCCCHuIcHZY1YsWZy+NMHcYq5SdnJ/O7s6I1WslRBCCCFqleQ5e4wKxRKnL00STyxvqnpifzsDXRKYCSGEEGJtEpw9JrlCibcuTTC/osfs+N429nRHq1grIYQQQtQ6Cc4eg2y+yJsXJ0iUJ/+DE5jt622qYq2EEEIIUQ82HZwppXYB3wU6AA18VmudXHXOfwZ2lQ9dwDHgFPABEAdurTj9aa11abP1qRXpbJGfXBwnVc5jZhgGJ2UoUwghhBAbtJWes28D39Za/4lS6uvA14GvrjxBa/1zS/9XSn0DeEtrfUYp9XT5/x/dws+vOcmMs1fm0pZMpmHw1MEYfR2yKlMIIYQQG7Op4Ewp5QFeAT5RLvoO8GNWBWcrzlfAF4Dj5aJTQEwpdQYoAl/VWv94M3WpFYlUnjcvTpDNlwMz0+DUoQ662ySPmRBCCCE2brM9Z+1AQmtdLB+PA333Of/rwDe11onysQ38EPhNnKHOV5VSx7TWMxv54W1t29MTFYttbCgyvpDh3IUJXB4XIY8Ll8vg5ZO99LTXb4/ZRtu+UzVy+6XtjauR29/IbYfGbn8ttv2BwZlS6lPAt1YVX8cJsFay1rm+BfjbwC8ulWmtf3/FKWeVUm8DLwJ/toE6E48nsazVP/7RisUiTE8vPrguC1lOX56gUHSa73GbPHekE49tb+j6WrTRtu9Ujdx+aXtjth0au/2N3HZo7PY/7rabprGpDqUHBmda6+8D319ZVh7WjCulXOVJ/N3A2Drf4mPAq1rr7IrrPwe8qbW+WS4ygMJD177KxuMpzlydolQOFL0eFy8c7aIl4qtyzYQQQghRrza1Q4DWugC8Dny6XPR54NV1Tn+hfO5KJ4B/ApX5aE+ucU5Nuz2e4J0ry4GZz+vixePdEpgJIYQQYku2sn3Tl4EvKqUuAy8DXwNQSn2pvDJzyV5gZNW13wA6lFIXgT8FPq+1ros+Vdu2uTI4xwc3ZrBtJzALBTy8/EQPTSFvlWsnhBBCiHq36VQaWutB4KfWKP+9VccfW+OcBPDJzf7sarEsm3M3ZhiaXI4jmyM+XjjShc/rqmLNhBBCCLFTyA4BG5QvlHj36hTT85lKWWdLkFOHO3C7ZP94IYQQQjwaEpxtQCpb4PSlSRbTy9sx7eqMcHJ/O6ZpVLFmQgghhNhpJDh7gNlElrevTJLLL+8sdWR3Kwf6mjAMCcyEEEII8WhJcHYfgxOLfHBzppJTzWUaPHkwRl+sfpPLCiGEEKK2SXC2Bsu2ee/qJGevT1fKfB4Xzx7upK3JX8WaCSGEEGKnk+BslULR4t2rk6TyyxseNIW8PHekk6DfU8WaCSGEEKIRSHC2yo3RBabmMoRCTjLZnvYQTx2MyYpMIYQQQmwLCc5WcbuWJ/kf2tWC2tUsE/+FEEIIsW0kOFtlf28T4YCH/t5mitm62+5TCCGEEHVOxupWMQyD7rYQLRGZ+C+EEEKI7SfBmRBCCCFEDZHgTAghhBCihkhwJoQQQghRQyQ4E0IIIYSoIRKcCSGEEELUEAnOhBBCCCFqiARnQgghhBA1RIIzIYQQQogaUm87BLgATHN7tlParp9Tixq57dDY7Ze2N65Gbn8jtx0au/2Ps+0rvrfrYa4zbNt+9LV5fF4CXq92JYQQQgghHsLLwBsbPbnegjMfcAoYB0pVrosQQgghxP24gG7gXSC30YvqLTgTQgghhNjRZEGAEEIIIUQNkeBMCCGEEKKGSHAmhBBCCFFDJDgTQgghhKghEpwJIYQQQtQQCc6EEEIIIWqIBGdCCCGEEDWk3rZveiyUUv8cKGmtf2ONx7zAHwLPABng57XWV5VSBvBN4O8AFvBLWuufbF+tt0YptQv4LtABaOCzWuvkqnP+M7CrfOgCjuEkAf4AiAO3Vpz+tNa6LhIDb7DtA8BF4Ga5aFJr/dH1ng/bVvlHYIPt7wb+PdCF8/z+Va31a0opD3V475VSPw98DfAA/7fW+ndXPX4S+AMgCvwN8CWtdXEjv6t6sIH2/13gnwEGcBv4H7XWc0qpLwD/Epgsn/pftNa/tn0137oNtP3Xgb8PzJWL/p3W+nfXe05sX8237n5tL7fvOytOjwFzWutjO+G+L1FKRYE3gb+jtb6z6rGafd03dM+ZUqpJKfWHwD+5z2n/CEhprQ8DX2H5yfz3gMPAEeATwHeUUvUU7H4b+LbW+hBwBvj66hO01j+ntT6ptT4J/ADnj9YZ4AngraXHyl81/ea8ygPbjhN8fW9F+z5aLl/v+VBPNtL+bwJ/Xr73nwG+p5RyUYf3XinVC/wLnO3fTgJfVEodWXXad4F/oLU+iBOg/FK5fCO/q5r2oPaX37z+LfBxrfUJ4DzwG+WHnwH+lxX3uq7eoDd4758B/vsVbVwKYNZ7TtSFB7Vda31uxd/3D+EEp18qP1zX932JUuo5nC2TDq5zSs2+7hs6OAP+LnAd+Ff3OefjwH8A0Fr/DRArR9UfB/5Ea21pra8BQzhP8JpX7v14BfjTctF3gE/d53wFfAH41XLRKZzfwxml1Gml1IcfY3UfqYdo+yngmFLqnFLqNaXU8XL5es+HuvAQ7f8B8L3y/28AfiBMfd77jwCvaa1ntdYpnLZ/cunBci9pQGt9ulz0HeBTD/s6qWH3bT9Or8qvaK1Hy8fnWe4xPwV8QSl1QSn1XaVUy7bV+tF4UNvBCUT+D6XUeaXUv1FK+dd7TmxbrR+NjbR9yf8O/FhrvbT3Y73f9yW/BPwKMLb6gVp/3Td0cKa1/n+01v+S++/T2YOzl+eScaDvPuX1oB1IrOiif1Ddvw58U2udKB/bwA+BF4D/CfiPSqn2x1XZR2yjbc/ifKp6Cvht4IflIc16vu+wwfZrrf9frfXSMM+vAme11gvU571/0D1b7/GHfZ3Uqvu2X2sd11r/AEApFQD+N5x7vHTuP8fpMR0G/s12VPgRum/blVJh4Czwv+K81ptx/t7V++scNtgGpVQT8EWcYe2V59bzfQdAa/2LWuvX13m4pl/39TQMt2lKqU8B31pVfFVr/ZENXG7ivCEtMXDm4KxXXlPWaft17q47rFP38iemvw384lKZ1vr3V5xyVin1NvAi8GdbrvAjtJW2r5p/+COl1G/iDGPXxX2Hrd/78vf4CvDLwIehfu79Kg+6Zxt9jUON3usH2NBztvwm/QPgA631HwNorf/bFY//FstzMOvFfdtenkf0saVjpdS/Av4I+NH9rqsTG/1b9T8AP9RaTy0V7ID7vhE1/bpviOBMa/194PubvHwEZ0f5pSdnF04X6VI5q8prylptX5rUrZRylecLdbN+3T8GvKq1zq64/nPAm1rrpd+JARQeeeW3aCttV0r9Q5w5Z/Fy0VIb13s+1Jyt3vvyH+WPA69orUfKZXVx71cZAV5ecbz6nq33Wp4Cmjb4OqllD2r/0gKQ/wq8BvzP5bIm4O9rrZcCfAOoqwnxPKDt5SkJH9Fa/1G5aPXrfM3r6sQD73vZJ4D/a+lgh9z3jajp131DD2tu0I+AzwMopV4CslrroXL5Z5VSLqXUfpwJh+9Wr5obp7UuAK8Dny4XfR54dZ3TXyifu9IJyosoyvPRnlzjnJr0EG3/MPALAOV5VS7gKus/H+rCRttf7jH7aeDFpcCsrB7v/V8Af0spFVNKBXEW8/x/Sw9qrQeBrFLqxXLR53A+kDzM66SW3bf95YUefw78J631V7TWS70GSeCflidVA/wDnJ61enLftuOsuP4tpdSe8gr8XwF+sN5zYjsr/gg8qO2U2/w08NaK4p1w3x+o1l/3EpytQSn1JaXUN8qH/xrwKaUuAb+DcwPBmSx4CWfy7J8Bv6C1zmx7ZTfvyzirdy7jfLr6GtzTdoC9OJ8wVvoG0KGUuojze/i81npxG+r8qGyk7f8Y+NlyG38b+IzW2mL950M9uW/7y3+wfx1nGflflxdFnFNK9VCH97480f3XgL8CzuH0iL6jlPqRUuqZ8mmfBb6llLqKs/Dhd8rla/6u6skG2v9zOPOtPrniXv9BudfgvwP+rVLqCs6b+D+tUjM25UFt11pP4wzb/zlOygSD5QVi6z0n6sIGn/cxIL9yZGQn3Pf7qZfXvWHbq4dWhRBCCCFEtUjPmRBCCCFEDZHgTAghhBCihkhwJoQQQghRQyQ4E0IIIYSoIRKcCSGEEELUEAnOhBBCCCFqiARnQgghhBA1RIIzIYQQQoga8v8DX77y42dPo64AAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def plot_test(y_pred=None, n_test=3):\n", " plt.figure(figsize=(10, 5))\n", " for i in range(n_test):\n", " x, y = test_data[i]\n", " plt.plot(x_sample, x.numpy(), '-', lw=3, alpha=0.5, label='INPUT=TARGET' if i == 0 else None)\n", " if y_pred is not None:\n", " plt.plot(x_sample, y_pred[i].detach().numpy(), 'k.', ms=2, label='OUTPUT' if i == 0 else None)\n", " plt.legend(ncol=3)\n", " \n", "plot_test()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Autoencoder" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An \"autoencoder\" is any network with identical input and output shapes (number of features) that is trained to reproduce each input at its output:\n", "\n", "![autoencoder architecture](img/NeuralNetworks/autoencoder.png)\n", "\n", "The gray shaded regions represent arbitrary network layers, with heights indicating tensor dimensionality. Note how the input and output heights are the same.\n", "\n", "Re-use our fully connected class to build a simple autoencoder:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "class FCN(torch.nn.Sequential):\n", " \n", " def __init__(self, *n_nodes, activation=torch.nn.ReLU):\n", " super(FCN, self).__init__()\n", " n_inputs = n_nodes[:-1]\n", " n_outputs = n_nodes[1:]\n", " for depth, (n_inp, n_out) in enumerate(zip(n_inputs, n_outputs)):\n", " self.add_module(f'LYR{depth}', torch.nn.Linear(n_inp, n_out))\n", " if depth < len(n_inputs) - 1:\n", " self.add_module(f'ACT{depth}', torch.nn.LeakyReLU(0.2, inplace=True))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since we have converted our unsupervised learning problem into a standard supervised problem, we can use a standard supervised training and testing loop:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "def learn(model, loss_fn, n_epochs=100, batch_size=250, learning_rate=0.05, n_print=1):\n", " print(f'Model has {np.sum([np.prod(P.shape) for P in model.parameters()])} parameters.')\n", " loader = torch.utils.data.DataLoader(train_data, batch_size=batch_size, shuffle=True)\n", " print(f'Data has {np.prod(loader.dataset.tensors[0].shape)} values.')\n", " optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)\n", " x_test, y_test = test_data.tensors\n", " train_loss, test_loss = [], []\n", " print_at = np.round((1 + np.arange(n_print)) / n_print * n_epochs).astype(int)\n", " for epoch in range(n_epochs):\n", " model.train()\n", " for x_train, y_train in loader:\n", " y_pred = model(x_train)\n", " loss = loss_fn(y_pred, y_train)\n", " optimizer.zero_grad()\n", " loss.backward()\n", " optimizer.step()\n", " train_loss.append(float(loss.data))\n", " model.eval()\n", " y_pred = model(x_test)\n", " test_loss.append(float(loss_fn(y_pred, y_test).data))\n", " if epoch + 1 == print_at[0]:\n", " print(f'EPOCH {epoch + 1:5d}: TRAIN {train_loss[-1]:.5f} TEST {test_loss[-1]:.5f}')\n", " print_at = print_at[1:]\n", " plt.figure(figsize=(10, 5))\n", " plt.plot(train_loss, '.', label='TRAIN')\n", " plt.plot(test_loss, '.', label='TEST')\n", " plt.xlabel('Number of Epochs')\n", " plt.ylabel('MSE Loss')\n", " plt.yscale('log')\n", " plt.legend()\n", " return train_loss, test_loss, y_pred.detach()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, use a fully connected (linear) architecture with no hidden nodes:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model has 16512 parameters.\n", "Data has 1280000 values.\n", "EPOCH 100: TRAIN 0.00000 TEST 0.00000\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "torch.manual_seed(123)\n", "model = FCN(128, 128)\n", "loss_fn = torch.nn.MSELoss()\n", "train_loss, test_loss, y_pred = learn(model, loss_fn, learning_rate=0.002, n_epochs=100)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_test(y_pred)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This performs extremely well, but has simply learned the identity function $X_\\text{out} = X_\\text{in}$, rather than anything useful about the actual input distribution, $P(X_\\text{in})$.\n", "\n", "In order eliminate this trivial solution, we must force the network to learn a representation of the input data in a lower dimensional \"latent\" space, then expand this representation back into the original space. With a fully connected network, this just means having hidden layers with less than 128 nodes.\n", "\n", "For example, if we add a single hidden layer with 6 nodes we can learn a 6-parameter model that approximates the true Gaussian process prior:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model has 1670 parameters.\n", "Data has 1280000 values.\n", "EPOCH 200: TRAIN 0.00010 TEST 0.00011\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "torch.manual_seed(123)\n", "model = FCN(128, 6, 128)\n", "loss_fn = torch.nn.MSELoss()\n", "train_loss, test_loss, y_pred = learn(model, loss_fn, learning_rate=0.002, n_epochs=200)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_test(y_pred)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To reduce the loss further without changing the latent-space dimension, we can add additional layers to model the transformation from 128 to 6 nodes and back to 128 (but there is not a lot to be gained in this example):" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model has 9542 parameters.\n", "Data has 1280000 values.\n", "EPOCH 250: TRAIN 0.00010 TEST 0.00009\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "torch.manual_seed(123)\n", "model = FCN(128, 64, 6, 128)\n", "loss_fn = torch.nn.MSELoss()\n", "train_loss, test_loss, y_pred = learn(model, loss_fn, learning_rate=0.0004, n_epochs=250)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What does our input distribution look like when projected into the latent space? To answer this question we first need to capture the output from the 6-node hidden layer:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "mls.torch.trace(model)\n", "y1 = model(x_train[:100])\n", "z1 = model.ACT1.output\n", "y2 = model(x_test[:100])\n", "z2 = model.ACT1.output" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can use a seaborn pairplot to compare the latent-space distributions for TRAIN and TEST samples:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "latent_cols = [f'z{k}' for k in range(6)]\n", "df = pd.DataFrame(torch.cat((z1, z2)).numpy(), columns=latent_cols)\n", "df['SAMPLE'] = ['TRAIN'] * 100 + ['TEST'] * 100\n", "sns.pairplot(df, hue='SAMPLE', vars=latent_cols, diag_kind='hist', diag_kws={'histtype': 'step'});" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The presence of some strong correlations (e.g., between $z_0$ and $z_3$) indicates that a slightly smaller-dimensional latent representation should be possible. The good agreement (given the limited statistics) between the TRAIN and TEST samples indicates that the model has not been overfit in the latent space (in agreement with the loss curves).\n", "\n", "This simple architecture is called an **autoencoder**. Although we used fully connected layers, convolutional layers might work better (or at least more efficiently)." ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden", "solution2_first": true }, "source": [ "**DISCUSS:** How might you solve these related problems after learning a latent-space model?\n", " - Estimate the probability density of an arbitrary input, relative to the input distribution (\"probabilistic model\").\n", " - Generate a random sample drawn from the input distribution (\"generative model\")." ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden" }, "source": [ "**SOLUTION:** Both of these problems could be solved using the density estimation methods we [covered earlier](https://nbviewer.jupyter.org/github/dkirkby/MachineLearningStatistics/blob/master/notebooks/Density.ipynb). Given the approximately Gaussian distributions above, a Gaussian mixture model (GMM) would be a good approach.\n", "\n", "The density estimated from a GMM fit directly solves the first problem. For the second problem, we need two steps:\n", " - Generate a sample in the latent space.\n", " - Feed this sample through the \"enlarging\" layers of the model, that transform the latent space to the output=input space.\n", "\n", "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Much of the recent progress in unsupervised deep learning has been to invent network architectures that are capable of solving either or both of these related problems directly, without resorting to any auxiliary methods and making better use of the available input samples (i.e., less likely to memorize a relatively small training sample)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Variational Autoencoder (VAE)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A \"variational autoencoder\" breaks the direct connection between the input and output by using the first (reducing) half of the network to transform each input $\\mathbf{x}$ to parameters $\\mu$ and $\\sigma$ of a normal distribution, which are then replaced with a sample $\\mathbf{z}$ from this normal distribution (indicated by the blue circle) that flows through the second (expanding) half of the network:\n", "\n", "![variational autoencoder architecture](img/NeuralNetworks/variational-autoencoder.png)\n", "\n", "Note that $\\mu$, $\\sigma$ and $\\mathbf{z}$ have the dimension of the latent space, not the (larger) input space of $\\mathbf{x}$.\n", "\n", "After a VAE has been trained, it can be used to generate new samples from the input distribution by passing random latent variables $\\mathbf{z}$ sampled from a unit normal distribution through its second (expanding) half. This random sampling is indicated by the red circle above.\n", "\n", "The loss function required to train a VAE has an interesting theortical motivation that requires some explanation, but we first look at a practical implementation:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "class VAE(torch.nn.Module):\n", " \n", " def __init__(self, n_data=128, n_latent=6):\n", " super(VAE, self).__init__()\n", " self.n_latent = n_latent\n", " # The posterior inference calculates (mu, logvar) for the posterior probability\n", " # of a sample in the latent space.\n", " self.posterior_pre = torch.nn.Sequential(\n", " torch.nn.Linear(n_data, n_data // 2),\n", " torch.nn.LeakyReLU(0.2, inplace=True),\n", " )\n", " self.posterior_mu = torch.nn.Linear(n_data // 2, n_latent)\n", " self.posterior_logvar = torch.nn.Linear(n_data // 2, n_latent)\n", " # The generator maps from the latent space to the data space.\n", " self.generate = torch.nn.Sequential(\n", " torch.nn.Linear(n_latent, n_data // 2),\n", " torch.nn.LeakyReLU(0.2, inplace=True),\n", " torch.nn.Linear(n_data // 2, n_data),\n", " )\n", " self.eval_z = None\n", " \n", " def infer(self, x):\n", " pre = self.posterior_pre(x)\n", " return self.posterior_mu(pre), self.posterior_logvar(pre)\n", " \n", " def sample(self, mu, logvar):\n", " sigma = torch.exp(0.5 * logvar)\n", " eps = torch.randn_like(mu)\n", " return mu + eps * sigma\n", " \n", " def evaluate(self, n_eval=3, fixed_z=True):\n", " self.eval()\n", " # Generate n_eval samples from the prior.\n", " if self.eval_z is None or not fixed_z:\n", " self.eval_z = torch.randn((n_eval, self.n_latent))\n", " x = self.generate(self.eval_z).detach()\n", " for i in range(n_eval):\n", " plt.plot(x[i].numpy(), '.')\n", " \n", " def learn(self, data, alpha=1., n_epochs=100, batch_size=250, learning_rate=0.05, n_print=1):\n", " print(f'Model has {np.sum([np.prod(P.shape) for P in self.parameters()])} parameters.')\n", " loader = torch.utils.data.DataLoader(data, batch_size=batch_size, shuffle=True)\n", " print(f'Data has {np.prod(loader.dataset.tensors[0].shape)} values.')\n", " optimizer = torch.optim.Adam(self.parameters(), lr=learning_rate)\n", " print_at = np.round((1 + np.arange(n_print)) / n_print * n_epochs).astype(int)\n", " NLL_losses, KL_losses, losses = [], [], []\n", " self.train()\n", " l2_loss = torch.nn.MSELoss(reduction='sum')\n", " for epoch in range(n_epochs):\n", " for x_train, _ in loader:\n", " # Infer a Gaussian estimate of each sample's posterior in the latent space.\n", " mu, logvar = self.infer(x_train)\n", " # Sample new latent variables from the estimated posteriors.\n", " z = self.sample(mu, logvar)\n", " # Generate corresponding samples to compare with the training input.\n", " x_generated = self.generate(z)\n", " # Calculate the \"reconstruction loss\" between the generated and target samples,\n", " # which equals the ensemble mean of the negative log-likelihood of the target\n", " # data over the posterior distribution of z, up to some unknown scale factor.\n", " NLL = l2_loss(x_generated, x_train)\n", " # Calculate the KL(Q||P) divergence between the variational estimate of the\n", " # posterior Q(z), specified by mu and logvar, and the (unit normal) prior P(z).\n", " KL = -0.5 * torch.sum(1 + logvar - mu.pow(2) - logvar.exp())\n", " # Combine these pieces for an estimate of the -ELBO.\n", " loss = alpha * NLL + KL\n", " # Update the inference and generator parameters.\n", " optimizer.zero_grad()\n", " loss.backward()\n", " optimizer.step()\n", " NLL_losses.append(float(NLL.data))\n", " KL_losses.append(float(KL.data))\n", " losses.append(float(loss.data))\n", " if epoch + 1 == print_at[0]:\n", " print(f'EPOCH {epoch + 1:5d}: NLL {NLL_losses[-1]:.5f} KL(Q||P) {KL_losses[-1]:.5f} -ELBO {losses[-1]:.5f}')\n", " print_at = print_at[1:]\n", " plt.figure(figsize=(10, 5))\n", " plt.plot(NLL_losses, '.', label='NLL')\n", " plt.plot(KL_losses, '.', label='KL(Q||P)')\n", " plt.plot(losses, '.', label='-ELBO')\n", " plt.xlabel('Number of Epochs')\n", " plt.ylabel('VAE Loss')\n", " plt.yscale('log')\n", " plt.legend()\n", " return losses, mu.detach(), torch.exp(0.5 * logvar.detach())" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "torch.manual_seed(123)\n", "model = VAE(n_data=128, n_latent=6)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "model.evaluate()" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model has 17804 parameters.\n", "Data has 1280000 values.\n", "EPOCH 10: NLL 4631.85840 KL(Q||P) 773.36761 -ELBO 5405.22607\n", "EPOCH 20: NLL 2466.77954 KL(Q||P) 1021.03815 -ELBO 3487.81763\n", "EPOCH 30: NLL 1651.07288 KL(Q||P) 1168.06494 -ELBO 2819.13770\n", "EPOCH 40: NLL 1464.66492 KL(Q||P) 1106.52881 -ELBO 2571.19385\n", "EPOCH 50: NLL 1215.00964 KL(Q||P) 1163.53711 -ELBO 2378.54688\n", "EPOCH 60: NLL 1261.13525 KL(Q||P) 1069.55164 -ELBO 2330.68701\n", "EPOCH 70: NLL 1079.25220 KL(Q||P) 1139.65930 -ELBO 2218.91162\n", "EPOCH 80: NLL 913.76923 KL(Q||P) 1279.20667 -ELBO 2192.97583\n", "EPOCH 90: NLL 896.54889 KL(Q||P) 1213.53650 -ELBO 2110.08545\n", "EPOCH 100: NLL 823.57074 KL(Q||P) 1257.40186 -ELBO 2080.97266\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "losses, mu, sigma = model.learn(train_data, learning_rate=0.00005, n_print=10);" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "model.evaluate()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check the distribution of means for the inferred posterior associated with each sample, which roughly corresponds to the autoencoder's latent variables:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df = pd.DataFrame(mu[:200].numpy(), columns=[f'$\\mu_{k}$' for k in range(6)])\n", "sns.pairplot(df, diag_kind='hist', diag_kws={'histtype': 'step'});" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that most of these means are roughly centered on zero with unit variance and uncorrelated, as expected since the generator is trying to explain the data using a fixed unit normal prior. However, there are some discrepancies which indicate that further training (or model refinement) are necessary." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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$\\mu_0$$\\mu_1$$\\mu_2$$\\mu_3$$\\mu_4$$\\mu_5$
count200.000000200.000000200.000000200.000000200.000000200.000000
mean0.100861-0.042384-0.040175-0.2025600.0619480.050972
std0.7052321.2784720.2407111.2907881.0365760.182818
min-1.360511-3.248311-0.660596-4.300436-2.321658-0.336112
50%0.0643760.000997-0.027260-0.285491-0.0348240.051850
max2.2460693.1130040.5406283.2451412.8138180.501325
\n", "
" ], "text/plain": [ " $\\mu_0$ $\\mu_1$ $\\mu_2$ $\\mu_3$ $\\mu_4$ $\\mu_5$\n", "count 200.000000 200.000000 200.000000 200.000000 200.000000 200.000000\n", "mean 0.100861 -0.042384 -0.040175 -0.202560 0.061948 0.050972\n", "std 0.705232 1.278472 0.240711 1.290788 1.036576 0.182818\n", "min -1.360511 -3.248311 -0.660596 -4.300436 -2.321658 -0.336112\n", "50% 0.064376 0.000997 -0.027260 -0.285491 -0.034824 0.051850\n", "max 2.246069 3.113004 0.540628 3.245141 2.813818 0.501325" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.describe(percentiles=[])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### VAE Theory" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first (reducing) half of a VAE network encodes each input sample $\\mathbf{x}$ with two parameters $\\mu$ and $\\sigma$ that define a normal distribution in the (smaller) latent space. We can interpret this normal distribution $Q(\\mathbf{z})$ as an estimate of the posterior probability density\n", "$$\n", "Q(\\mathbf{z}; \\Theta) \\simeq P(\\mathbf{z}\\mid \\mathbf{x})\n", "$$\n", "where the latent variables $\\mathbf{z}$ play the role of our model parameters and $\\Theta$ represents the weights and biases that determine $\\mu$ and $\\sigma$. Learning $Q$ by varying $\\Theta$ is therefore equivalent to finding the the \"best\" variational approximation $Q(\\mathbf{z}; \\Theta)$ to the true posterior $P(\\mathbf{z}\\mid \\mathbf{x})$. This is the variational inference method we covered [earlier](https://nbviewer.jupyter.org/github/dkirkby/MachineLearningStatistics/blob/master/notebooks/Variational.ipynb), where we saw that the KL divergence between $Q$ and $P$ is a good definition of \"best\", and that it is equivalent to minimize the negative ELBO:\n", "$$\n", "-\\text{ELBO} = \\langle \\log P(\\mathbf{x}\\mid \\mathbf{z})\\rangle_{z\\sim Q} +\n", "\\text{KL}\\left(Q(\\mathbf{z};\\Theta) \\parallel P(\\mathbf{z})\\right) \\; ,\n", "$$\n", "where $P(\\mathbf{z})$ is our assumed prior on the latent space. Note that a VAE attempts to find a $\\Theta$ that does a good job of approximating the posterior for *any* input $\\mathbf{x}$, rather than for just one observation.\n", "\n", "The first term of the -ELBO is the average negative-log-likelihood of $\\mathbf{x}$ for model parameters $\\mathbf{z}$ drawn from the normal distribution $Q$ (with $\\mu$ and $\\sigma$ calculated by the network). We could estimate this with many samples drawn from $Q$ for each input $\\mathbf{x}$ but, in practice, it is sufficient to use a single sample $\\mathbf{z}$ and let the many iterations of training provide the necessary ensemble averaging.\n", "\n", "What is the likelihood $P(\\mathbf{x}\\mid\\mathbf{z})$? We use the second (expanding) network to estimate this quantity, by trying to reconstruct $\\mathbf{x}$ from the sample $\\mathbf{z}\\sim Q$. A sample $\\mathbf{x}$ has high likelihood if it can be accurately reconstructed via the chain:\n", "$$\n", "\\mathbf{x}_\\text{in} \\rightarrow (\\mu,\\sigma) \\rightarrow \\mathbf{z}\\sim {\\cal N}(\\mu, \\sigma)\n", "\\rightarrow \\mathbf{x}_\\text{out} \\; .\n", "$$\n", "We can measure reconstruction accuracy with the $L_2$ loss,\n", "$$\n", "L_2\\left(\\mathbf{x}_\\text{in}, \\mathbf{x}_\\text{out}\\right) =\n", "\\left| \\mathbf{x}_\\text{out} - \\mathbf{x}_\\text{in}\\right|^2 \\; ,\n", "$$\n", "which equals the negative-log-likelihood (up to a constant) under the assumption that the uncertainties in each input feature are all drawn from the same normal distribution with variance $\\sigma_x^2$,\n", "$$\n", "-\\log P(\\mathbf{x_\\text{in}}\\mid \\mathbf{z}) = \\frac{1}{2\\sigma_x^2} L_2\\left(\n", "\\mathbf{x}_\\text{in}, \\mathbf{x}_\\text{out}\\right) \\; .\n", "$$\n", "In practice, this assumption is not strictly valid but we still use $L_2$ as a proxy for the likelihood and replace $1/(2\\sigma_x^2)$ with an additional hyperparameter $\\alpha$:\n", "$$\n", "-\\log P(\\mathbf{x_\\text{in}}\\mid \\mathbf{z}) \\simeq \\alpha L_2\\left(\n", "\\mathbf{x}_\\text{in}, \\mathbf{x}_\\text{out}\\right) \\; .\n", "$$\n", "Note that when you know something about the input errors, you may be able to build a more accurate likelihood proxy.\n", "\n", "The second term of the -EBLO is the KL divergence between $Q$ and our assumed prior, which we chose to be a unit normal so that this term can be calculated analytically:\n", "$$\n", "\\text{KL}\\left(Q(\\mathbf{z};\\Theta) \\parallel P(\\mathbf{z})\\right) =\n", "\\frac{1}{2} \\sum_i \\left( \\mu_i^2 + \\sigma_i^2 - \\log\\sigma_i^2 - 1\\right) \\; ,\n", "$$\n", "where the sum is over the latent dimensions of $\\mathbf{z}$.\n", "\n", "Refer back to the diagram and code above to see how we construct a loss function that approximates the -ELBO, so our training loop is effectively performing variational inference to find neural network parameters (not to be confused with the probabilistic model parameters $\\mathbf{z}$) that are best able to explain the data using a combination of posterior inference in $\\mathbf{z}$ and reconstruction $\\mathbf{z}\\rightarrow\\mathbf{x}$.\n", "\n", "Note that by fixing the prior to a unit normal, we are reversing the way we normally build a model, which is to define the parameters first then chose a suitable prior. Instead, here we are specifying the prior first and then learning a set of parameters that can explain the data with this prior." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Generative Adversarial Networks (GAN)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A GAN consists of two separate models:\n", " - A **discriminator** whose job is to classify samples as being real or fake.\n", " - A **generator** whose job is to map a point $\\mathbf{z}$ in the latent space to a corresponding sample $\\mathbf{x}$.\n", " \n", "![generative adversarial architecture](img/NeuralNetworks/generative-adversarial.png)\n", "\n", "The discriminator (D) and generator (G) are both randomly initialized, then carefully trained together so that they both gradually improve together. For each minibatch of the training data we:\n", " - Generate a corresponding batch of fake samples.\n", " - Use the discriminator on both the fake and real samples.\n", " \n", "We need two loss functions, one for each model. Both losses measures the classification accuracy of the discriminator (using [BCEWithLogitsLoss](https://pytorch.org/docs/stable/nn.html#bcewithlogitsloss)):\n", " - D loss: reward correct classification of both fake and real samples.\n", " - G loss: reward incorrect classification of fake samples.\n", " \n", "The ultimate product of a GAN is its generator, and we only use the discriminator to coach the generator. The GAN design is relatively immune to overfitting since the generator is only ever fed random numbers and never directly sees any of the training samples.\n", " \n", "Here is an implementation for our test problem:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "class GAN(object):\n", " \n", " def __init__(self, n_data=128, n_latent=6, z_norm=False):\n", " self.n_latent = n_latent\n", " # The discriminator calculates the probability (as a logit) that a sample is real.\n", " self.D = torch.nn.Sequential(\n", " torch.nn.Linear(n_data, n_data // 2),\n", " torch.nn.LeakyReLU(0.2, inplace=True),\n", " torch.nn.Linear(n_data // 2, 1),\n", " )\n", " # The generator maps samples in the latent space to the data space.\n", " self.G = torch.nn.Sequential(\n", " torch.nn.Linear(n_latent, n_data // 2),\n", " torch.nn.LeakyReLU(0.2, inplace=True),\n", " torch.nn.Linear(n_data // 2, n_data),\n", " )\n", " print(f'D has {np.sum([np.prod(P.shape) for P in self.D.parameters()])} parameters.')\n", " print(f'G has {np.sum([np.prod(P.shape) for P in self.G.parameters()])} parameters.')\n", " self.eval_z = None\n", " self.z_norm = z_norm\n", " \n", " def get_z(self, n):\n", " if self.z_norm:\n", " return torch.randn((n, self.n_latent))\n", " else:\n", " return torch.rand((n, self.n_latent))\n", " \n", " def evaluate(self, n_eval=3, fixed_z=True):\n", " self.D.eval()\n", " self.G.eval()\n", " # Generate n_eval fakes.\n", " if self.eval_z is None or not fixed_z:\n", " self.eval_z = self.get_z(n_eval)\n", " x = self.G(self.eval_z).detach()\n", " # Classify each fake sample.\n", " prob = torch.sigmoid(self.D(x)).detach().squeeze().numpy()\n", " fig, ax = plt.subplots(1, 2, figsize=(12, 5))\n", " # Plot each generated fake labeled with its discriminator probability.\n", " for i in range(n_eval):\n", " ax[0].plot(x[i].numpy(), '.', label=f'prob={prob[i]:.5g}')\n", " ax[0].legend()\n", " # Fetch the first n_eval samples from the test data.\n", " x = test_data.tensors[0][:n_eval]\n", " # Classify each real sample.\n", " prob = torch.sigmoid(self.D(x)).detach().squeeze().numpy()\n", " # Plot the first\n", " for i in range(n_eval):\n", " ax[1].plot(x[i].numpy(), '.', label=f'prob={prob[i]:.5g}')\n", " ax[1].legend()\n", " \n", " def learn(self, data, n_epochs=200, batch_size=200, D_lr=0.0005, G_lr=0.0005, n_print=1):\n", " self.D.train()\n", " self.G.train()\n", " loader = torch.utils.data.DataLoader(data, batch_size=batch_size, shuffle=True)\n", " print(f'Data has {np.prod(loader.dataset.tensors[0].shape)} values.')\n", " D_optimizer = torch.optim.Adam(self.D.parameters(), lr=D_lr)\n", " G_optimizer = torch.optim.Adam(self.G.parameters(), lr=G_lr)\n", " D_losses, G_losses = [], []\n", " print_at = np.round((1 + np.arange(n_print)) / n_print * n_epochs).astype(int)\n", " loss_fn = torch.nn.BCEWithLogitsLoss()\n", " all_real = torch.ones((batch_size, 1))\n", " all_fake = torch.zeros((batch_size, 1))\n", " for epoch in range(n_epochs):\n", " for x_real, _ in loader:\n", " \n", " # -- Train the generator ----------------------\n", " \n", " # Generate random latent variables for each sample in this minibatch.\n", " z = self.get_z(batch_size)\n", " \n", " # Generate a minibatch of fake samples.\n", " x_fake = self.G(z)\n", " \n", " # Reward the generator for producing fakes that fool the discriminator.\n", " G_loss = loss_fn(self.D(x_fake), all_real)\n", "\n", " # Update the generator parameters.\n", " G_optimizer.zero_grad()\n", " G_loss.backward()\n", " G_optimizer.step()\n", " \n", " # -- Train the discriminator ------------------\n", " \n", " # Detach the fake samples from the generator parameters so we can train\n", " # the discriminator independently.\n", " x_fake.detach_()\n", "\n", " # Reward the discriminator for correctly classifying fake and real samples.\n", " D_real_loss = loss_fn(self.D(x_real), all_real)\n", " D_fake_loss = loss_fn(self.D(x_fake), all_fake)\n", " D_loss = (D_real_loss + D_fake_loss) / 2\n", "\n", " # Update the discriminator parameters.\n", " D_optimizer.zero_grad()\n", " D_loss.backward()\n", " D_optimizer.step()\n", "\n", " D_losses.append(float(D_loss.data))\n", " G_losses.append(float(G_loss.data))\n", " if epoch + 1 == print_at[0]:\n", " print(f'EPOCH {epoch + 1:5d}: D {D_losses[-1]:.5f} G {G_losses[-1]:.5f}')\n", " print_at = print_at[1:]\n", " plt.figure(figsize=(10, 5))\n", " plt.plot(D_losses, '.', label='D')\n", " plt.plot(G_losses, '.', label='G')\n", " plt.xlabel('Number of Epochs')\n", " plt.ylabel('Adversarial Loss')\n", " plt.yscale('log')\n", " plt.legend()\n", " return D_losses, G_losses" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create a new GAN model for our test problem with a 6D latent space:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "D has 8321 parameters.\n", "G has 8768 parameters.\n" ] } ], "source": [ "torch.manual_seed(123)\n", "model = GAN(n_data=128, n_latent=6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The initial generator's samples are random noise and the initial discriminator guesses that all samples are ~50% likely to be real:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "model.evaluate()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Successful learning requires that the separate generator (G) and discriminator (D) losses are comparable, and co-learn to maintain this \"adversarial\" balance, with neither gaining a clear advantage in this neural-network arms race. This requires some fine tuning and can be challenging to setup and maintain.\n", "\n", "Note that we are not looking for decreasing loss curves when training a GAN! We also do not use a TEST sample to monitor progress. Notice how the two losses curves mirror each other below (on a log scale). The measure of GAN performance is how representative its generated samples are of the input sample distribution." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Data has 1280000 values.\n", "EPOCH 200: D 0.62770 G 0.89600\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "model.evaluate()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To illustrate how fragile GAN learning can be, repeat the previous study for the same model but using different training hyperparameters:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "D has 8321 parameters.\n", "G has 8768 parameters.\n", "Data has 1280000 values.\n", "EPOCH 200: D 0.02584 G 4.35668\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "torch.manual_seed(123)\n", "model = GAN(n_data=128, n_latent=6)\n", "model.learn(train_data, D_lr=0.005, G_lr=0.005);" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "model.evaluate()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "See this [talk](https://www.youtube.com/watch?v=myGAju4L7O8) and accompanying [repo](https://github.com/soumith/ganhacks) for some practical advice on training GANs." ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden", "solution2_first": true }, "source": [ "**DISCUSS:** Which component (G or D) has effectively won this adversarial contest, preventing further learning? What evidence supports your answer?" ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden" }, "source": [ "**ANSWER:** The discriminator has won. The evidence for this is:\n", " - The final D loss is ~0.01 while the final G loss is ~100.\n", " - The final D classifications are essentially perfect: ~0 for the fakes and ~1 for the real samples.\n", " - The final G samples are highly correlated and indistinguishable from noise." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Flow Models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The methods above have relatively complicated loss functions. Why don't we directly maximize how well the model explains the data instead? The obvious approach would be to find optimize the (negative log) likelihood of the input data with respect to the model:\n", "$$\n", "-\\log{\\cal L}(X\\mid \\Theta) = -\\frac{1}{N} \\sum_{k=1}^N\\, \\log P(\\mathbf{x}_i\\mid \\Theta) \\; .\n", "$$\n", "The challenge with this approach is how to estimate the log-likelihood $\\log P(\\mathbf{x}_i\\mid \\Theta)$ of each input sample $\\mathbf{x}_i$.\n", "\n", "A \"flow-based\" model is a neural network that calculates this log-likelihood directly, but this requires a special architecture since a random network $F(X; \\Theta)$ is extremely unlikely to satisfy the conditions for being a probability density:\n", " - Value is always positive: $F(\\mathbf{x}; \\Theta) \\ge 0$.\n", " - Integral of values over the full input domain equals one: $\\int F(\\mathbf{x}; \\Theta)\\,d\\mathbf{x} = 1$.\n", " \n", "The key idea of a flow model is to start with a simple (analytic) base probability density $Q$ (usually a multivariate Gaussian) and then smoothly distort it until to better explain the data. The role of the network is then to apply the distortion, rather than calculate the probability density itself.\n", "\n", "We can summarize the model so far as:\n", "$$\n", "\\mathbf{x} \\sim P \\quad, \\quad \\mathbf{q} \\sim Q \\quad, \\quad \\mathbf{x} = F(\\mathbf{q}\\mid\\Theta) \\; ,\n", "$$\n", "where $F$ is the function calculated by the neural network:\n", "\n", "![normalizing flow architecture](img/NeuralNetworks/normalizing-flow.png)\n", "\n", "We can now calculate the log-likelihood using a change of variables (and some calculus) as:\n", "$$\n", "\\log P(\\mathbf{x}) = \\log Q(F^{-1}(\\mathbf{x}) +\n", "\\log\\left|\\det\\frac{\\partial}{\\partial\\mathbf{q}}F^{-1}(\\mathbf{x})\\right| \\; ,\n", "$$\n", "where the last term is a Jacobian determinant. Therefore we still have some special requirements on our network $F$:\n", " - $F(\\mathbf{x})$ must be invertible, and\n", " - both the inverse and its Jacobian determinant must be efficient to calculate.\n", " \n", "This is a rapidly developing research area with many models recently proposed (RealNVP, NICE, Glow, MAF, IAF, ...). What they have in common is that they break the network $F$ down into a chain of smaller pieces with some learnable parameters, and which satisfy the requirements above by construction.\n", "\n", "While VAEs and GANs are generative models, these are probabilistic models. However, they can also be used as generative models, simply by feeding random samples $\\mathbf{q}\\sim Q$ from the base distribution backwards through $F$ to obtain a corresponding $\\mathbf{x}\\sim P$. Some of the proposed models (IMAF in particular) are optimized for this generative mode, at the expense of efficient probability density estimation.\n", " \n", "For a deeper dive on flow generative models, see this [blog post](https://lilianweng.github.io/lil-log/2018/10/13/flow-based-deep-generative-models.html)." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.5" } }, "nbformat": 4, "nbformat_minor": 2 }