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簡単なトイデータによるガウス過程とStudent-t過程の比較。TPの挙動が興味深かったので保存。補足としてGPyのMCMC実行例。[日本語資料が少ない気がするのでお役に立てば。]
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# ガウス過程とt過程の比較\n", | |
| "- トイデータを用いて、ガウス過程とt過程の簡単な比較を行った。\n", | |
| "- データのわずかな変動により結果が大きく変わってしまうため、下記の結果にはあまり再現性はない。" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# 0. Install\n", | |
| "- (2019.05時点で)pipからGPyをインストールしようとすると、python3.7ではコケる。python3.6用の環境を別に用意したほうが良い。\n", | |
| "- pipからinstallした場合、GPyのmodel.plot()が機能しないことがあった。\n", | |
| " - \"conda install -c conda-forge gpy\"を推奨。" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "import matplotlib.pyplot as plt\n", | |
| "import numpy as np\n", | |
| "import pandas as pd\n", | |
| "import GPy" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "plt.style.use('ggplot')\n", | |
| "np.random.seed(0) # この値によって結果が大きく変わる" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# 1. Data" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "X = np.arange(-5,5,0.5)\n", | |
| "truY = np.sin(X)\n", | |
| "Y = truY + np.random.normal(loc=0, scale=0.1, size=X.shape[0])\n", | |
| "X_new = np.arange(-7,7,0.05)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "fig, ax = plt.subplots()\n", | |
| "ax.plot(X, Y, color=\"C1\", label=\"pred\", marker=\"o\", linestyle=\"\")\n", | |
| "ax.plot(X, truY, color=\"C0\", label=\"true\")\n", | |
| "ax.legend(edgecolor=\"b\")\n", | |
| "fig.tight_layout()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# 2. Maternカーネルでの比較\n", | |
| "## 2.1. hyperparameter推定前\n", | |
| "- まずhyperparameter推定前の挙動を確認する。\n", | |
| " - ここで当てはまりが良ければ、hyperparameter推定がアバウトでも、ある程度の性能が期待できる?\n", | |
| "\n", | |
| "Gaussian Process" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| " /anaconda3/envs/py36/lib/python3.6/site-packages/matplotlib/figure.py:2369: UserWarning:This figure includes Axes that are not compatible with tight_layout, so results might be incorrect.\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "kern = GPy.kern.Matern52(input_dim=1, ARD=True)\n", | |
| "gpmodel = GPy.models.GPRegression(X.reshape((-1,1)), Y.reshape((-1,1)), kernel=kern, normalizer=True)\n", | |
| "gpmodel.randomize()\n", | |
| "gpmodel.plot()\n", | |
| "plt.plot(X_new, np.sin(X_new), color=\"r\", linestyle=\"dotted\", alpha=0.7, linewidth=2)\n", | |
| "plt.tight_layout()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "- mean functionはデータに沿っているが、分散は比較的大きい。 \n", | |
| "\n", | |
| "Student-t Process" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "kern = GPy.kern.Matern52(input_dim=1, ARD=True)\n", | |
| "tpmodel = GPy.models.TPRegression(X.reshape((-1,1)), Y.reshape((-1,1)), kernel=kern, normalizer=True)\n", | |
| "tpmodel.randomize()\n", | |
| "tpmodel.plot()\n", | |
| "plt.plot(X_new, np.sin(X_new), color=\"r\", linestyle=\"dotted\", alpha=0.7, linewidth=2)\n", | |
| "plt.tight_layout()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "- hyperparameter推定前ながら、データのある領域においては分散も極めて小さい。\n", | |
| "- ノイズにも完全にフィットしており、やや過学習傾向。\n", | |
| "\n", | |
| "GPyのposterior_samples_fを用いたサンプリング結果の比較も示しておく。" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 7, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x360 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10,5))\n", | |
| "ax1.plot(X_new, gpmodel.posterior_samples_f(X_new.reshape((-1,1)), size=10).reshape(-1,10))\n", | |
| "ax1.plot(X, Y , marker=\"o\", color=\"r\", linestyle=\"\")\n", | |
| "ax1.plot(X_new, np.sin(X_new), color=\"k\", linestyle=\"dotted\", alpha=0.7, linewidth=4)\n", | |
| "ax1.set_title('GP posterior')\n", | |
| "ax1.set_ylim([-1.6, 1.6])\n", | |
| "\n", | |
| "ax2.plot(X_new, tpmodel.posterior_samples_f(X_new.reshape((-1,1)), size=10).reshape(-1,10))\n", | |
| "ax2.plot(X, Y , marker=\"o\", color=\"r\", linestyle=\"\")\n", | |
| "ax2.plot(X_new, np.sin(X_new), color=\"k\", linestyle=\"dotted\", alpha=0.7, linewidth=4)\n", | |
| "ax2.set_title('TP posterior')\n", | |
| "ax2.set_ylim([-1.6, 1.6])\n", | |
| "fig.tight_layout()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## 2.2 hyperparameter推定後" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Gaussian Process" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 8, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<style type=\"text/css\">\n", | |
| ".pd{\n", | |
| " font-family: \"Courier New\", Courier, monospace !important;\n", | |
| " width: 100%;\n", | |
| " padding: 3px;\n", | |
| "}\n", | |
| "</style>\n", | |
| "\n", | |
| "<p class=pd>\n", | |
| "<b>Model</b>: GP regression<br>\n", | |
| "<b>Objective</b>: 4.101295281586182<br>\n", | |
| "<b>Number of Parameters</b>: 3<br>\n", | |
| "<b>Number of Optimization Parameters</b>: 3<br>\n", | |
| "<b>Updates</b>: True<br>\n", | |
| "</p>\n", | |
| "<style type=\"text/css\">\n", | |
| ".tg {font-family:\"Courier New\", Courier, monospace !important;padding:2px 3px;word-break:normal;border-collapse:collapse;border-spacing:0;border-color:#DCDCDC;margin:0px auto;width:100%;}\n", | |
| ".tg td{font-family:\"Courier New\", Courier, monospace !important;font-weight:bold;color:#444;background-color:#F7FDFA;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n", | |
| ".tg th{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;color:#fff;background-color:#26ADE4;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n", | |
| ".tg .tg-left{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:left;}\n", | |
| ".tg .tg-center{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:center;}\n", | |
| ".tg .tg-right{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:right;}\n", | |
| "</style>\n", | |
| "<table class=\"tg\"><tr><th><b> GP_regression. </b></th><th><b> value</b></th><th><b>constraints</b></th><th><b>priors</b></th></tr>\n", | |
| "<tr><td class=tg-left> Mat52.variance </td><td class=tg-right> 2.454717048225763</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "<tr><td class=tg-left> Mat52.lengthscale </td><td class=tg-right> 2.709692408864183</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "<tr><td class=tg-left> Gaussian_noise.variance</td><td class=tg-right>0.008594303144769645</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "</table>" | |
| ], | |
| "text/plain": [ | |
| "<GPy.models.gp_regression.GPRegression at 0x1a243b7ac8>" | |
| ] | |
| }, | |
| "execution_count": 8, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "gpmodel.optimize()\n", | |
| "gpmodel" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 9, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "gpmodel.plot()\n", | |
| "plt.plot(X_new, np.sin(X_new), color=\"r\", linestyle=\"dotted\", alpha=0.7, linewidth=2)\n", | |
| "plt.tight_layout()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "- データのある領域ではほぼフィットしている様子。\n", | |
| "- 外挿は(当然ながら)当てにならない。" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Student-t Process" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 10, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<style type=\"text/css\">\n", | |
| ".pd{\n", | |
| " font-family: \"Courier New\", Courier, monospace !important;\n", | |
| " width: 100%;\n", | |
| " padding: 3px;\n", | |
| "}\n", | |
| "</style>\n", | |
| "\n", | |
| "<p class=pd>\n", | |
| "<b>Model</b>: TP regression<br>\n", | |
| "<b>Objective</b>: 7.622900898427872<br>\n", | |
| "<b>Number of Parameters</b>: 3<br>\n", | |
| "<b>Number of Optimization Parameters</b>: 3<br>\n", | |
| "<b>Updates</b>: True<br>\n", | |
| "</p>\n", | |
| "<style type=\"text/css\">\n", | |
| ".tg {font-family:\"Courier New\", Courier, monospace !important;padding:2px 3px;word-break:normal;border-collapse:collapse;border-spacing:0;border-color:#DCDCDC;margin:0px auto;width:100%;}\n", | |
| ".tg td{font-family:\"Courier New\", Courier, monospace !important;font-weight:bold;color:#444;background-color:#F7FDFA;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n", | |
| ".tg th{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;color:#fff;background-color:#26ADE4;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n", | |
| ".tg .tg-left{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:left;}\n", | |
| ".tg .tg-center{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:center;}\n", | |
| ".tg .tg-right{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:right;}\n", | |
| "</style>\n", | |
| "<table class=\"tg\"><tr><th><b> TP_regression. </b></th><th><b> value</b></th><th><b>constraints</b></th><th><b>priors</b></th></tr>\n", | |
| "<tr><td class=tg-left> Mat52.variance </td><td class=tg-right>1.1340787279624882</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "<tr><td class=tg-left> Mat52.lengthscale</td><td class=tg-right> 1.359525674664267</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "<tr><td class=tg-left> deg_free </td><td class=tg-right> 73452.14557068727</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "</table>" | |
| ], | |
| "text/plain": [ | |
| "<GPy.models.tp_regression.TPRegression at 0x1a24a127f0>" | |
| ] | |
| }, | |
| "execution_count": 10, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "tpmodel.optimize()\n", | |
| "tpmodel" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 11, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "tpmodel.plot()\n", | |
| "plt.plot(X_new, np.sin(X_new), color=\"r\", linestyle=\"dotted\", alpha=0.7, linewidth=2)\n", | |
| "plt.tight_layout()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "- かなり過学習傾向が見られる。\n", | |
| " - mean functionに加えて、分散も小さすぎる。\n", | |
| " - hyperparameterを点推定した弊害?" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "posterior_samples_fによる比較" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 12, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x360 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "X_new = np.arange(-7,7,0.1)\n", | |
| "\n", | |
| "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10,5))\n", | |
| "ax1.plot(X_new, gpmodel.posterior_samples_f(X_new.reshape((-1,1)), size=10).reshape(-1,10))\n", | |
| "ax1.plot(X, Y , marker=\"o\", color=\"r\", linestyle=\"\")\n", | |
| "ax1.plot(X_new, np.sin(X_new), color=\"k\", linestyle=\"dotted\", alpha=0.7, linewidth=4)\n", | |
| "ax1.set_title('GP posterior')\n", | |
| "ax1.set_ylim([-1.6, 1.6])\n", | |
| "\n", | |
| "ax2.plot(X_new, tpmodel.posterior_samples_f(X_new.reshape((-1,1)), size=10).reshape(-1,10))\n", | |
| "ax2.plot(X, Y , marker=\"o\", color=\"r\", linestyle=\"\")\n", | |
| "ax2.plot(X_new, np.sin(X_new), color=\"k\", linestyle=\"dotted\", alpha=0.7, linewidth=4)\n", | |
| "ax2.set_title('TP posterior')\n", | |
| "ax2.set_ylim([-1.6, 1.6])\n", | |
| "fig.tight_layout()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "- 当てはまり自体に大きな差はないが、TPはデータの揺らぎに引っ張られ曲がっている箇所が散見される。\n", | |
| "- (Maternカーネルにおいては、)TPがやや過学習傾向を見せ、採用しづらい結果となった。" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# 3. MLPカーネル\n", | |
| "- 滑らかな関数をフィッティングするため、MLPカーネル(aka. neural netカーネル)でも同様の計算を試行する。 \n", | |
| "\n", | |
| "## 3.1. hyperparameter推定前" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 13, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "kern2 = GPy.kern.MLP(input_dim=1, ARD=True)\n", | |
| "gpmodel2 = GPy.models.GPRegression(X.reshape((-1,1)), Y.reshape((-1,1)), kernel=kern2, normalizer=True)\n", | |
| "gpmodel2.randomize()\n", | |
| "gpmodel2.plot()\n", | |
| "plt.plot(X_new, np.sin(X_new), color=\"r\", linestyle=\"dotted\", alpha=0.7, linewidth=2)\n", | |
| "plt.tight_layout()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 14, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "kern2 = GPy.kern.MLP(input_dim=1, ARD=True)\n", | |
| "tpmodel2 = GPy.models.TPRegression(X.reshape((-1,1)), Y.reshape((-1,1)), kernel=kern2, normalizer=True)\n", | |
| "tpmodel2.randomize()\n", | |
| "tpmodel2.plot()\n", | |
| "plt.plot(X_new, np.sin(X_new), color=\"r\", linestyle=\"dotted\", alpha=0.7, linewidth=2)\n", | |
| "plt.tight_layout()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 15, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x360 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "X_new = np.arange(-7,7,0.1)\n", | |
| "\n", | |
| "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10,5))\n", | |
| "ax1.plot(X_new, gpmodel2.posterior_samples_f(X_new.reshape((-1,1)), size=10).reshape(-1,10))\n", | |
| "ax1.plot(X, Y , marker=\"o\", color=\"r\", linestyle=\"\")\n", | |
| "ax1.plot(X_new, np.sin(X_new), color=\"k\", linestyle=\"dotted\", alpha=0.7, linewidth=4)\n", | |
| "ax1.set_title('GP posterior')\n", | |
| "ax1.set_ylim([-1.6, 1.6])\n", | |
| "\n", | |
| "ax2.plot(X_new, tpmodel2.posterior_samples_f(X_new.reshape((-1,1)), size=10).reshape(-1,10))\n", | |
| "ax2.plot(X, Y , marker=\"o\", color=\"r\", linestyle=\"\")\n", | |
| "ax2.plot(X_new, np.sin(X_new), color=\"k\", linestyle=\"dotted\", alpha=0.7, linewidth=4)\n", | |
| "ax2.set_title('TP posterior')\n", | |
| "ax2.set_ylim([-1.6, 1.6])\n", | |
| "fig.tight_layout()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## 3.2. hyperparameter推定後" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 16, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<style type=\"text/css\">\n", | |
| ".pd{\n", | |
| " font-family: \"Courier New\", Courier, monospace !important;\n", | |
| " width: 100%;\n", | |
| " padding: 3px;\n", | |
| "}\n", | |
| "</style>\n", | |
| "\n", | |
| "<p class=pd>\n", | |
| "<b>Model</b>: GP regression<br>\n", | |
| "<b>Objective</b>: 28.36053465694371<br>\n", | |
| "<b>Number of Parameters</b>: 4<br>\n", | |
| "<b>Number of Optimization Parameters</b>: 4<br>\n", | |
| "<b>Updates</b>: True<br>\n", | |
| "</p>\n", | |
| "<style type=\"text/css\">\n", | |
| ".tg {font-family:\"Courier New\", Courier, monospace !important;padding:2px 3px;word-break:normal;border-collapse:collapse;border-spacing:0;border-color:#DCDCDC;margin:0px auto;width:100%;}\n", | |
| ".tg td{font-family:\"Courier New\", Courier, monospace !important;font-weight:bold;color:#444;background-color:#F7FDFA;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n", | |
| ".tg th{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;color:#fff;background-color:#26ADE4;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n", | |
| ".tg .tg-left{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:left;}\n", | |
| ".tg .tg-center{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:center;}\n", | |
| ".tg .tg-right{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:right;}\n", | |
| "</style>\n", | |
| "<table class=\"tg\"><tr><th><b> GP_regression. </b></th><th><b> value</b></th><th><b>constraints</b></th><th><b>priors</b></th></tr>\n", | |
| "<tr><td class=tg-left> mlp.variance </td><td class=tg-right> 1058.3045681909434</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "<tr><td class=tg-left> mlp.weight_variance </td><td class=tg-right>2.6517631057175344e-06</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "<tr><td class=tg-left> mlp.bias_variance </td><td class=tg-right>4.692266943585428e-159</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "<tr><td class=tg-left> Gaussian_noise.variance</td><td class=tg-right> 0.9851204646058984</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "</table>" | |
| ], | |
| "text/plain": [ | |
| "<GPy.models.gp_regression.GPRegression at 0x1a25d984e0>" | |
| ] | |
| }, | |
| "execution_count": 16, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "gpmodel2.optimize()\n", | |
| "gpmodel2" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 17, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<style type=\"text/css\">\n", | |
| ".pd{\n", | |
| " font-family: \"Courier New\", Courier, monospace !important;\n", | |
| " width: 100%;\n", | |
| " padding: 3px;\n", | |
| "}\n", | |
| "</style>\n", | |
| "\n", | |
| "<p class=pd>\n", | |
| "<b>Model</b>: TP regression<br>\n", | |
| "<b>Objective</b>: 17.375641771802414<br>\n", | |
| "<b>Number of Parameters</b>: 4<br>\n", | |
| "<b>Number of Optimization Parameters</b>: 4<br>\n", | |
| "<b>Updates</b>: True<br>\n", | |
| "</p>\n", | |
| "<style type=\"text/css\">\n", | |
| ".tg {font-family:\"Courier New\", Courier, monospace !important;padding:2px 3px;word-break:normal;border-collapse:collapse;border-spacing:0;border-color:#DCDCDC;margin:0px auto;width:100%;}\n", | |
| ".tg td{font-family:\"Courier New\", Courier, monospace !important;font-weight:bold;color:#444;background-color:#F7FDFA;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n", | |
| ".tg th{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;color:#fff;background-color:#26ADE4;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n", | |
| ".tg .tg-left{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:left;}\n", | |
| ".tg .tg-center{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:center;}\n", | |
| ".tg .tg-right{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:right;}\n", | |
| "</style>\n", | |
| "<table class=\"tg\"><tr><th><b> TP_regression. </b></th><th><b> value</b></th><th><b>constraints</b></th><th><b>priors</b></th></tr>\n", | |
| "<tr><td class=tg-left> mlp.variance </td><td class=tg-right>0.017935063749283504</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "<tr><td class=tg-left> mlp.weight_variance</td><td class=tg-right> 0.03368667496553956</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "<tr><td class=tg-left> mlp.bias_variance </td><td class=tg-right>4.35683430843654e-07</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "<tr><td class=tg-left> deg_free </td><td class=tg-right> 0.13228742432970403</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "</table>" | |
| ], | |
| "text/plain": [ | |
| "<GPy.models.tp_regression.TPRegression at 0x1a24ce7668>" | |
| ] | |
| }, | |
| "execution_count": 17, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "tpmodel2.optimize()\n", | |
| "tpmodel2" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Gaussian Process" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 18, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "gpmodel2.plot()\n", | |
| "plt.plot(X_new, np.sin(X_new), color=\"r\", linestyle=\"dotted\", alpha=0.7, linewidth=2)\n", | |
| "plt.tight_layout()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Student-t Process" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 19, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "tpmodel2.plot()\n", | |
| "plt.plot(X_new, np.sin(X_new), color=\"r\", linestyle=\"dotted\", alpha=0.7, linewidth=2)\n", | |
| "plt.tight_layout()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 20, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x360 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "X_new = np.arange(-7,7,0.1)\n", | |
| "\n", | |
| "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10,5))\n", | |
| "ax1.plot(X_new, gpmodel2.posterior_samples_f(X_new.reshape((-1,1)), size=10).reshape(-1,10))\n", | |
| "ax1.plot(X, Y , marker=\"o\", color=\"r\", linestyle=\"\")\n", | |
| "ax1.plot(X_new, np.sin(X_new), color=\"k\", linestyle=\"dotted\", alpha=0.7, linewidth=4)\n", | |
| "ax1.set_title('GP posterior')\n", | |
| "ax1.set_ylim([-1.6, 1.6])\n", | |
| "\n", | |
| "ax2.plot(X_new, tpmodel2.posterior_samples_f(X_new.reshape((-1,1)), size=10).reshape(-1,10))\n", | |
| "ax2.plot(X, Y , marker=\"o\", color=\"r\", linestyle=\"\")\n", | |
| "ax2.plot(X_new, np.sin(X_new), color=\"k\", linestyle=\"dotted\", alpha=0.7, linewidth=4)\n", | |
| "ax2.set_title('TP posterior')\n", | |
| "ax2.set_ylim([-1.6, 1.6])\n", | |
| "fig.tight_layout()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "- TPは(運が良いと)外挿時もほぼsin形状を維持する。\n", | |
| "- GPのMLEが機能していない。これはノイズorパラメータ分散の推定値が発散してしまったためと考えられる。" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 21, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<style type=\"text/css\">\n", | |
| ".pd{\n", | |
| " font-family: \"Courier New\", Courier, monospace !important;\n", | |
| " width: 100%;\n", | |
| " padding: 3px;\n", | |
| "}\n", | |
| "</style>\n", | |
| "\n", | |
| "<p class=pd>\n", | |
| "<b>Model</b>: GP regression<br>\n", | |
| "<b>Objective</b>: 28.36053465694371<br>\n", | |
| "<b>Number of Parameters</b>: 4<br>\n", | |
| "<b>Number of Optimization Parameters</b>: 4<br>\n", | |
| "<b>Updates</b>: True<br>\n", | |
| "</p>\n", | |
| "<style type=\"text/css\">\n", | |
| ".tg {font-family:\"Courier New\", Courier, monospace !important;padding:2px 3px;word-break:normal;border-collapse:collapse;border-spacing:0;border-color:#DCDCDC;margin:0px auto;width:100%;}\n", | |
| ".tg td{font-family:\"Courier New\", Courier, monospace !important;font-weight:bold;color:#444;background-color:#F7FDFA;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n", | |
| ".tg th{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;color:#fff;background-color:#26ADE4;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n", | |
| ".tg .tg-left{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:left;}\n", | |
| ".tg .tg-center{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:center;}\n", | |
| ".tg .tg-right{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:right;}\n", | |
| "</style>\n", | |
| "<table class=\"tg\"><tr><th><b> GP_regression. </b></th><th><b> value</b></th><th><b>constraints</b></th><th><b>priors</b></th></tr>\n", | |
| "<tr><td class=tg-left> mlp.variance </td><td class=tg-right> 1058.3045681909434</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "<tr><td class=tg-left> mlp.weight_variance </td><td class=tg-right>2.6517631057175344e-06</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "<tr><td class=tg-left> mlp.bias_variance </td><td class=tg-right>4.692266943585428e-159</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "<tr><td class=tg-left> Gaussian_noise.variance</td><td class=tg-right> 0.9851204646058984</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "</table>" | |
| ], | |
| "text/plain": [ | |
| "<GPy.models.gp_regression.GPRegression at 0x1a25d984e0>" | |
| ] | |
| }, | |
| "execution_count": 21, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "gpmodel2" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "- mlp.varianceが1000以上の値を取り、Gaussian_noise.varianceもデータに比して大きな値となっている。 \n", | |
| "\n", | |
| "このような場合、いくつかの手段が考えうる。\n", | |
| "- 実務上、Gaussian_noise.varianceなどに制限を加えることがある。\n", | |
| " - 統計的な妥当性が怪しい。直観的な設定を課すことは考えられるが、(当座の解析をこなす場合はともかく)解析者の関与しない自動化を目指す場合には取りづらい。\n", | |
| "- Priorによる制約を加える。\n", | |
| " - この方法は魅力的だが、ここでは取らない。\n", | |
| "- MCMCで置き換える。\n", | |
| " - 後に検討結果を示す。\n", | |
| "- 再度randomizeし、optimizeをやり直す。\n", | |
| " - ここではこの方法を採用する。" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 22, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| " /anaconda3/envs/py36/lib/python3.6/site-packages/paramz/transformations.py:111: RuntimeWarning:overflow encountered in expm1\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "gpmodel2_save = gpmodel2.copy() #後の検討のためモデルを保存\n", | |
| "gpmodel2.randomize()\n", | |
| "gpmodel2.optimize()\n", | |
| "gpmodel2.plot()\n", | |
| "plt.plot(X_new, np.sin(X_new), color=\"r\", linestyle=\"dotted\", alpha=0.7, linewidth=2)\n", | |
| "plt.tight_layout()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 23, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x360 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "X_new = np.arange(-7,7,0.1)\n", | |
| "\n", | |
| "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10,5))\n", | |
| "ax1.plot(X_new, gpmodel2.posterior_samples_f(X_new.reshape((-1,1)), size=10).reshape(-1,10))\n", | |
| "ax1.plot(X, Y , marker=\"o\", color=\"r\", linestyle=\"\")\n", | |
| "ax1.plot(X_new, np.sin(X_new), color=\"k\", linestyle=\"dotted\", alpha=0.7, linewidth=4)\n", | |
| "ax1.set_title('GP posterior')\n", | |
| "ax1.set_ylim([-1.6, 1.6])\n", | |
| "\n", | |
| "ax2.plot(X_new, tpmodel2.posterior_samples_f(X_new.reshape((-1,1)), size=10).reshape(-1,10))\n", | |
| "ax2.plot(X, Y , marker=\"o\", color=\"r\", linestyle=\"\")\n", | |
| "ax2.plot(X_new, np.sin(X_new), color=\"k\", linestyle=\"dotted\", alpha=0.7, linewidth=4)\n", | |
| "ax2.set_title('TP posterior')\n", | |
| "ax2.set_ylim([-1.6, 1.6])\n", | |
| "fig.tight_layout()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "- GP側も落ち着いた。\n", | |
| "- 当てはまりに大きな差は見られないが、TPは信頼区間が狭く、「真の曲線」が外に出てしまっている。" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# 4. まとめ" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "1回動かしただけの感想であり、以下の記述には何の一般性も無いことに注意。\n", | |
| "- GPに比べてTPはoptimize前からデータへの当てはまりが良く、hyperparameterへの依存は少ないと思しい。\n", | |
| "- 反面TPの信頼区間は狭く、過学習しやすいのかもしれない。\n", | |
| " - 特に変動を想定するMaternカーネルとは(TP自体が急変動に対応するモデルのためか)相性が悪そう。\n", | |
| "- MLPカーネルでの実験において、GPはoptimizeがうまくいかないことがあった。一方TPは頑健性を示した…のかもしれない?\n", | |
| "- MLPカーネルではTPの外挿がうまくいったが、これは偶然の可能性が高い。" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Appendix. MCMC" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "- GPyは(一応)Metropolis法やHMCを実装しており、これを用いてhyperparameterを推定することもできる。\n", | |
| " - というより、一般にはHMCの使用が推奨されている(持橋先生&大羽先生のGP本など)。 \n", | |
| " \n", | |
| "先ほどoptimizeに失敗したモデル(hyperparameter値ごと保存したもの)を用いて、これを修正できるか検討する。 \n", | |
| ">optimize()を再度実行しても、このモデルは修正できない。すでに勾配を上りきっているため、初期化しなければoptimizeでは結果が変わらない。 \n", | |
| ">本論での再実行は、randomizeを再実行し初期値を変更したためうまくいったものである。" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 24, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<style type=\"text/css\">\n", | |
| ".pd{\n", | |
| " font-family: \"Courier New\", Courier, monospace !important;\n", | |
| " width: 100%;\n", | |
| " padding: 3px;\n", | |
| "}\n", | |
| "</style>\n", | |
| "\n", | |
| "<p class=pd>\n", | |
| "<b>Model</b>: GP regression<br>\n", | |
| "<b>Objective</b>: 28.36053465694371<br>\n", | |
| "<b>Number of Parameters</b>: 4<br>\n", | |
| "<b>Number of Optimization Parameters</b>: 4<br>\n", | |
| "<b>Updates</b>: True<br>\n", | |
| "</p>\n", | |
| "<style type=\"text/css\">\n", | |
| ".tg {font-family:\"Courier New\", Courier, monospace !important;padding:2px 3px;word-break:normal;border-collapse:collapse;border-spacing:0;border-color:#DCDCDC;margin:0px auto;width:100%;}\n", | |
| ".tg td{font-family:\"Courier New\", Courier, monospace !important;font-weight:bold;color:#444;background-color:#F7FDFA;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n", | |
| ".tg th{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;color:#fff;background-color:#26ADE4;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n", | |
| ".tg .tg-left{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:left;}\n", | |
| ".tg .tg-center{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:center;}\n", | |
| ".tg .tg-right{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:right;}\n", | |
| "</style>\n", | |
| "<table class=\"tg\"><tr><th><b> GP_regression. </b></th><th><b> value</b></th><th><b>constraints</b></th><th><b>priors</b></th></tr>\n", | |
| "<tr><td class=tg-left> mlp.variance </td><td class=tg-right> 1058.3045681909434</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "<tr><td class=tg-left> mlp.weight_variance </td><td class=tg-right>2.6517631057175344e-06</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "<tr><td class=tg-left> mlp.bias_variance </td><td class=tg-right>4.692266943585428e-159</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "<tr><td class=tg-left> Gaussian_noise.variance</td><td class=tg-right> 0.9851204646058984</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "</table>" | |
| ], | |
| "text/plain": [ | |
| "<GPy.models.gp_regression.GPRegression at 0x1a25fbb668>" | |
| ] | |
| }, | |
| "execution_count": 24, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "gpmodel2_save" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 25, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "CPU times: user 1min 14s, sys: 521 ms, total: 1min 14s\n", | |
| "Wall time: 37.7 s\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "%%time\n", | |
| "hmc = GPy.inference.mcmc.HMC(gpmodel2_save) # sampler\n", | |
| "sample = hmc.sample()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "- iter=1000(デフォルト値)に1分以上を要しており、Stanの速度とは比べるべくもない。\n", | |
| "- 注意点として、このHMCを動かすとgpmodelのparametersは変動する。以前の値と比較したい場合は別途copyしておくべし。" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 26, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
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\n", | |
| "text/plain": [ | |
| "<Figure size 720x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "import seaborn as sns\n", | |
| "param_name = gpmodel2_save.parameter_names()\n", | |
| "\n", | |
| "fig, ax = plt.subplots(figsize=(10,4))\n", | |
| "ax.set_yscale('log')\n", | |
| "sns.boxenplot(data=sample, ax=ax)\n", | |
| "ax.set_xticklabels(param_name)\n", | |
| "fig.tight_layout()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "- sampling結果を図示した…が桁が違いすぎてよくわからなくなってしまった。" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "元のモデルに(hyperparameterの)EAP推定量を代入し、結果を確認する。" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 27, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| " /anaconda3/envs/py36/lib/python3.6/site-packages/matplotlib/figure.py:2369: UserWarning:This figure includes Axes that are not compatible with tight_layout, so results might be incorrect.\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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AIDi0EQKql2FRFZxOjd1VQWpEOLpAIDiEEUESvRBJitf0qw1G8Id9FGb2XKkkgaCBcDRGNKoTi5koioRFVbBaFNFZWtBtCAHVi3FoVqJ6jB1lXgblOEUbD8FBxTRNvIEItf4o0ZiBJCnIioQsSxiGgWHoGLEYFkUmzaGS7rSJBylBShECqpdjURUUWWNnuZ+CDA2n3dr2QQJBF6nxhqj2RlEsCnbNhq2N8d6wTpXXh8epkpWmCa1KkBKEgOoDyLKE22WntDZMpm6QIRJ7Bd1EOKKztzqApKi4XO3fZzaris2qEojq1ItWM4IUIQRUH8LltFEbjBCOBMjPSk27AIGggar6EDX+KC5H5zUgm0XFZlHZWxvGbYuSmyH2qaDzCAHVBnrMIBDSiRlm4z8AzapgtypYVPmgmjMcmpVQWGd3hY8B2U5hShF0GdM0Ka32EzZk3M7UaOcuh41gWKe43MuAbFdK5hQcehzyAkqPGZRUB/hud4CiPVWU1wSpqAtR74/gC0YJhGOtHi/LEi67Sk66Rk66Rq7HTn6Wg+EFbjLdbVnuO4dmU4nqErvKfQzKcQnHtKDTmKZJcYUPSbFgt6U2CKdxn5b5yM7OTuncgkODQ0pAmaZJVX2YLbvrKCr1srPUx+5KP3oseeUGSQKnpqIqMoosIUsSJhCOxAhGdPSYSb0/Sr0/yra93mbHZrisDC9MY+SgdI4cnklGCgWWRY2H9+4s8zE4z4nShYrBgkMTw4gLJ8Vi6bYIUYuqIEsS2/bUkmYzxD4VdIh+L6C8gSjrd1SzaVcdm4vrqPa2rHeX69EYnJ9OhlMlNyOuBXmcVtwOCw5NRW7FjBbVDeoDESpqQ1TUhaioDVFc4Wd7ST01vghfbqnkyy2VvPDhNoblu5lwWCY/HJlDdnrXTSmqIiNpVnaV+Ric5xI/fkG7adCculM4NaAoMjbNyq7SWobkCY1f0H76nYAyTZM9lQHWbavim+017Cj10lQ/cthUDh+YxojCNIbkuRic68KhqXg8Hmprazt8Posqk5WmkZWmMarJ64ZpUlodZNueer4pqua7HbUUlXopKvXyxmc7GTc8g5OOLGDs0IxWBWBbKIqMzW5jZ6mPIflCSAnax54qP7La/cKpAUWRsWpWiit8DM51Cd+poF30GwFVVhNkzeYK1myupKQq0Pi6qkiMHJjO2GEZjByUzoBsZ5cEQnuRJYnCLAeFWQ6mjs8nHI2xYUcNX26pZO3WuPD8ZnsNOekaM44ZwAlH5HW63YYiy2gOGzvLfAwRmpSgDcprAsRMBc16cBO/VUXGtFjYW+UXgROCdtGnBVStL8zqTRWs3lTBrnJ/4+tOTeWow7IYPzyTUYM9B/2HmAibReHoH2Rz9A+yqQ9E+Hx9Gcu+KaWiLsQLH27jgy92M+vYwRw7OrdTJhBFltE0G7vK/MKMIkhKvT+ML2zidPRMjpJFVQiFDCrrgmSnp6Ynk6D/0ucEVMwwWV9UzfJvy/i2qJqGdveaVeGow7I4ZmQ2owd7emXzP9M0kSSJNIeVMyYN4rSJA1i7rZr/rNhJSXWQZ97/nvfX7Ob8k4czdmhGh+dvMKPsqvAxRJhRBAcQjuiU10VwdyABtzvQNAv1/jCaNYJLVEYRtEKfEVCVdSE+W1/GivVl1PojQDzEe8KITCaPzmHcsEwsau8TSg3867l/4fX5mD//WiRJwjRNHn/8cdwuFwvm/YRVm8r5z8pdlFQHefj1DUwalcP5Jw8jzdGxH3CDGWV3hY9Bue5uuhpBX6PBN+tKUZ5TV3E6bZTWBBlqUVF78e9W0LP0agFlmiYbd9Xx0do9fLu9pjHYIS/DzglH5HHc2NwO38B7AtM08fp8LF68GID5869l4cLHWLx4MbNnz0aS4LgxefxwZA4ffrWXN1fuYvWmCtYX1TD3pKFMGZvXIW3IoiqEDZPSqgAi/UQAUFLlx6pZO6xVxwyTXWU+Nu+uo6w6SH0ggkncjJ7nsTO8MI3DCt1YLR03ozsdGsUVfobmC21fkJheKaDC0RirNlbw0dq97N0X8KAqEhMPz+aEI/I5fGBan9rQkiQxf/61ACxevLhRUM2ePbtRo4K49jPzhwOZeHg2zy/dyoadtTz7wVbWbavm8tN+gNPefr+BzaoSDEepqPHTdz4pQXfg9YcJx2QcHfDF1vkjfLquhOXfllG3z2KRDM2qMGlUDtMmFFCY7Wz3OWRZQrVaKK8NkidKIgkSIJmm2SP9xddu2tnitVpfhI/W7mX5t6X4Q/GOsulOKydPKODEcfm4u9Gx29kw845gmiZnnHFm49/vvvtOUkFrmiarN1Xw4kfbCIRjZLptXPOjkQwvTOvQOVWLhtUM4HZ0T1WLniI7O5vKysqeXkbKSfV1xQyDHaX+dhd+jURjLPlqL++tLiYcNeJrSrcxerCHwXku0h1WJAl8QZ3dlX62FNdRXBEPUIpbAnKZM2UIHlfz/dba78sfCJPvseLQer815EDEPuwchYWF7RrXKzSo8togH3yxhxUbyhqrOgzNc3Hq0YVMPDy7VwY8dBTTNFm48LFmry1c+FgzDaopkiQxeXQuIwrTePztTewo9XHfy99y7glDmDFxQLs1SJdTY9fuGiyqgmbtFV+34CCytyqAvZ2BCLvKfTzx9mbKaoIAjB+eyfSjCxk5KL3V/ban0s8nX5ewfH0ZKzaU8/XWKi6aNoJJo3LatU+dDhsl1UGG5VtE9KmgGcodd9xxR0+cuLSyjt0Vfl7+pIh/fbiVnWU+DBOOOiyLy077AWcfP5iBB7HOnKZphELd02K9QTg1+JweeuhBfPt8Uj6fj2OOmZj0h+zQVI4dnUMkarBtr5fvdtZSWRdi3PDMdn02mqZhxHSq6oOkOy0HJQfsYOBwOAgEAm0P7GOk8rq8/jC+iImtHQ8mn6wr4bG3NuENRCnIcnDNj0Zy5uRBZKe3Xdk8zWFl/PBMJo3MobwuxJ7KAGu3VlFZF+KIYZkostTm70tWFHz+EGnOvqVFiX3YOdzu9gVw9dgj9V8XbeDbohogbos+bkwOM48ZSEE/bCMhSRJul6uZz6nBJ+V2te4gbhr994OB6fzj3c38d2MFG7fu4o6rT8Gptf0VSpKEXbOxu8LPkDwR2XcoYBgm5XWRNk17hmny2rIilny5F4CTjyxg7olDEwY9NKRJJPs7N8PODXPG8Pn6Mv798Xb+u7GCspoQP5s9Go+n9fWqiow/LOENhPudOVrQeVIioB599FG++uor0tPTeeCBB9p1zLdFNVhUmanj8pgxcQBZab0j/LW7uOTSS5r9oBuEVGvCKVH031B5CxtCedTh5t5/r+MX54xtV10/RZHRFZWymoBwSB8ClNX4sbXRMDBmmDz93hZWb6pAkSXmnXYYx43JSzg2UZrEwoWP4Xa5uOTSSxrHSZLECePyGZLn4pHFGykq9fJ/L33DHVdOafNm43RYKa8N4dAsohqKAICU7IKTTz6ZW265pUPH/GjyIO756Q+58JQR/V44NXCgMGrLdNIgxGbPns3ixYs544wzWfKflzgyfS+FWQ5Kq4P8+cV17K7wtzpPAzarij9s4gu2HpUl6NuEIjqBCK3W2TMMk2f2CSebReGX545NKpyaPigtXPhYM5O11+cjUZzVoFwXt1x8JINynJTXhrj9qRVU1IYSjm2KZrdSWt3/TGaCzpESATVmzBhcro7V1po9ZUi3RuX1CQwDy57dzV7KevkFBi34X5xfrgH2Calrr2k25hc/u5LfXjieUYPT8Qai/OXVbymu8LXrlE6HldKaELpupOYaBL2O0uogzlbyA03T5PkPt7KqiXAaNTi5Da7hQelnU45jxD+f5MmpUxr9qfPnX0v2qy+R9unHSOHmPqY3X38Zj3cNwwrcVNYFefC19fz170/xr+f+lfRcqiITjkIgJB6iBAfRB7V06VKWLl0KwD333IOnLaP0QUZRlIO6JikUIus3v0Spq6X8b49jpqUD4JRl7DXVRNxuLB4Ppmny+u9+w31VJbzncPOR3cUzzzzDjTfeyG2XHc8D//6Ctd9X8OCrG7j98mMZWpDe5nWlpaXjDYY5LM/Tp/LJmqKqar9sgtfV66rxBknPtOJoxbz32idbWP5tGRZV5pZLJzFqSGbCfaDsLsa0OzCysgD46cUXsWHRy+j7xt588++Q/T6yl3+MadOQz/gRWOOC0TRNonqUt99cxNzzrcgDjmHbnlr2ejOYYvORnp48MtDjAb8/yKCsjF6/P8U+7OZ1HKwTTZ8+nenTpzf+3d05Rx3lYORBoeug7v/IrYUDsZrgLyoiMmQoAN4ZZyBPOZFYuodYTQ0LFz5G2ttvMSM7ixOv+zl/3lPGSy+9TCgUZv78a/npGT9goa7zbVENd/xjJTfNPYIhefu12WTXFY7qfLfV22f9USL/pCWGYVJU6sPl0ogkCZj7yxOL2OTNQQJ+euZI8tNl7rnn3ha+JM+7b5H+5iLqTplO7fkXYZomT7/1LrvSstipxoXfPffcy8/mXYox+8cA1AUCEAiAaZL3xKPccMSRhM86i1dffgnZ8iZ5P5yH1Z2HN+1wqqprWk0fiURjbNzqI7eX70+xDztHe/OghCfyIOFatYLBt9+Mpay08bXyK66m+K57GoUTQCw9nWhBIYbD0Rj95714HrZ7H6D+1BmNPqlhkRD277dgUWXmnzWa8cMzCYR1Hnx1PXsr2/ZJ2SwqvrAhTCn9iMq6YKuBEbvKvGz2xrWhQsteJozITOpL8o+fgKFpmFZLo8/p5XffJe+Ci/jHkiWNftFHn32O2mkzqDv1tMZj7d+tx7n2K7LeeJXrLv0JAEY0SPlXL5LmsLCpuI6XPylq9VqsFgVvKEZUj3XlIxH0cYSAOkjYt2xGranB/fmyxtdMTYun37fCJZdewrU/u47g+AkYznhI+nVXXsFPayoofPA+HOvW7hNSoxqF1MOvb6C6vvkjdCLntMtho6Q6hGH0SDERQQrRYwbeYCxpYIQ/GOXv/9mEiUymUsPKt5/mjDPObPQlXX/BeaSt+KxxfHTAQHb++QGq58xNmiYxe/bshGkSwdFjKb/8KsrmXcmjz7/Y+HosVE++vglVkfhkXQnLvimlNRx2W2OpM8GhSUoSdR966CFeeuklqqqqWLp0KQ6Hg2HDhrV6TGllXVdPm1JSnagbjuqEQ1HC0SgxPUZgyDDC+QVUnnQqUV0nHNEJR3UM00SR5VZt7Qn9A34/SiBA9Zwfg6IgyxJHjshky+469lYF+WztdqZOGESa20kwGGThwsfYvGkT448c32weWVHwigTJXkNnr6uk2o/Fak2YvG2aJo+/vZkdpT6G5rm49fITePHFFxrff/jPf2LwHxfg+mI1oeEj0HNy4280MUePP3J8s4RySZI45piJHHnkkS0XI0mEBwzkb6+/0SgAX7zuGo7Y8C2PrVnJmJHDqTPS+G5nDWOHZrQoi7R/GolIzEChfcnGPYHYh53joCbq3njjjamYpk9jmibBUBQjZmCzSOTs3Ermfz8jeP31+7QkN4wooGm4QswwCIaieIMRAiETw5Sw29uRA6Kq1Jw1h5ozZu2/iRgGzrpqrp89mlsWLiNkavz+sY9YeMuPm1WxODC5UlVkAlGJOl+Y9CQ3CkHvJhKNEYqCy5p433z8dQnfbK/GYVO4ZtZInnryiWbv//2fz3Lzyadi376VcBNz84F0JE2iqdZ13RWXk/6H3zNThZuOOYoSj87Qgnw+/aaUx97axG2XHJU04dyhWamoC+J2dLwSu6Dv06OljnoTndWgYjGDQDCMZBpku63kZTpIU01y/u9erEVFxAoKiA0cmPBYWZKwWlTcDisZLhtOTSEUCuMPRZFkuW1B1eT9zDdeJfvF54gdeSQTjxvNsq92EjI1nn/lLdZ+uqhF5fSmWFSFGm+INEffqYUmnlz3s7c6gM2W+Aa+u8LPY29twjDhitMPZ8mbLzY+rDx87z14gyEWL15MZV4Bo667Hmype0hp1LosFuRjJhGwWMmf/zOOnHAkowd72LCjhpLqIDX1YY4+PHnEmCTLhMJRXB2o5n+wEPuwc7RXgxI+qE4Sixl4fSFkQ2dIrpNBOS6cDUU5bTZ8N9xAaOZMIpMnt3tZ2xHAAAAgAElEQVROm0WhIMvFsDw3Nik+vx5rR76SYWDduxc5FEKtqSYrTeOWSydhRIM48kaRPmJqm1UrHA4be6val/Ar6D2EwlGiOgkfLGKGyTPvb0GPmUwdl8cxI3MatZr/HVzIwHv/yM8uuTjuS3K7kVp5IApHdHz+MF5/EH8ghM8fxOsPxa0GrfgwG/acPmQoNWef03gOayzCdVMLsKoyqzdXsHpTRdI5LKqCTwRMHJL0qnYbPUl7w8xN08QfjKCpkJfhaB4qG42CJXVPeTHDoKImiC9i4HLYWjdxRKPYdu0kPOKwxqir9z/7lpyjL0CSZIZZd3Hz9Re1OkcwHMVjV5L6BHoTIrw3zs4yLzYt8d54d3Uxiz7bSVaajQXzjtpfzT4UYtA9f8BSXk7pdTfgP2J8wuP1mEEwFMGmSKTZVZwOa7P93mCirg9GCYRNrFY1qa+o6e9LCoUo+NuDyH4/r868nH+sKMVhU1gw72gy3In3nmGYRCNhBveyLtFiH3YOEWbeDYQjOsFgiAEZNgZku5r9WJWtW/H89reo33+fsvMpskx+lpOBWXaCwRDhiJ58sMXSTDiteP01fjxxBJfOHAPAtkA+Dz76TKulZuw2C5X1EWKGqDLRFwiEIhgoCYVLSVWA/6zcBcClMw5r3mpF09jzPzdTeu31BMYd2eJ40zTx+kPIRpShuU4G5bpId2st8pYUWcblsFGY5WJEgQuXVcLnC7Wp6UjRCHIggBwOMXWgjfHDMwiEYzz9/haMJPtTliV0Q8YvynQdUggB1Q4afrAOFYblp6HZWmpJ2qefIldXY/3885SfX7Oq8fMqJv5AuNWxkiQxWI/ypNPKzf5azj4qn0mjcpBVKzuiQxsbQSbDYbeK0N4+QnltGEcCv4xhmPzzg+/RYyYnHJHHmCEZAMhNfAqGO43AkUe1ODYSjREMhBiYZacgy9XuXmySJJGZpjEs34VqxvD7k+9Tw51GyY2/Zs9vbyM6cBDzZvwAl11l0646Pl5bkvQ4p8NKWW33tMQR9E6EgGoDPWbg98d/sNkee9Jx/ssvxz9vHoFLLkk6pqvkZjgo8Njw+UKtajlnXXkFIyZMwEiLl5OZN+MwBuc6CRkWnnhnc9KnVNhX9dyQ8bYhCAU9iz8YwUziM/pw7V62l3jxuKzMPSme7qGWlzHo9ptJ/+A9SPL9B4JRLMQYmu/udHNLWZbIz3KSn2HF50ueYxdLSye2rwRXmtPKNRPj/399+Y7GhomJUFRLixw/Qf9FCKhWCIWiGHqUYcl+sKa5/8euKIRPPbVZ7kh3YNcsDMlzEglFkppSDKeLkht/Q8n1v8R0OLFaFH42ewwuu8rGnbW8v2Z3wuMacNgtlNdGRAJvL6a8LpSwRXpFbYg3Po/7dy+ZfhgOW3w/OjZ9h+L3o21LbIL2BcJkOOIm5VSEczs0K0NynYSCbZv83Cs+44xnH+BypZhozOC5JVuTmqI1m0q1LyrM0IcIQkAlwe8P47RKDGqlq6990SKcCxdC+OBqG6oix+vtxXRC4cQmu5jHs19Ymia5wTquOP1wABZ/vpPv97Qe5m/TLJTXCFNfb8QbCIOcuGLES59sJ6obTBqVw/jhmY2v1594CiU/v5HyK65uUb3EGwiR67bgcae27Y2qygzNdxOLRolE2/BLxQxm5IHbbmHL7jpWbChPOtZut1LRipYl6D8IAZUAry9ETrqlVZOeVFOD9t572FatQt2x4+AtruH8ksTAHBeaarZeT0/XyfnnUwz80x0cbQ8z85gBGCY8+fZmfMFo0sMsqoI/ahIKJx8j6Bkq6sMJtadvtlfzzfZqNKvCeftMe03NecGx4+LltZrg84fJS7PidnZP5KYkSQzOdSEZelIh5T3+BPb87jb8F17E+SfH1/3qsiLqA4n3tarI+KKGCDs/BBACqgmGYeL1hRiYpbXZdtrMyKDujjvwXXUV+siRB2mFLcnLcOC2yQSSCRtFQYrFwDSxluxl9pQhDC9wU+OL8Mz737ca1ee0WykRT6q9Cm8gjCTt154avr+obvDSx9sBOOu4waQ7rdiKtjHg3j82K1DcFH8gQk6apdtbrEuSxJD8dMxYNKlQCQ+NC6ZJo3IYOygNfzDKK00Kyh64T52ajRLR2LDfIwTUPgzDxO8PMSTXkTBKL+ExhYVEpk7t5pW1TXa6nTS7jD/RE6ckUXHJZey+9U78R01EVWSu/tFIHDaFb7ZX89HavUnnlSQJWRFO6d5ERX0Yx76E8H8996/GDrdLvtxDRV0ITQpRsuFjADLffAPbzh24P1vWYp5gOEqaQyatmzSnA5GkuLlcj0aJtZJ8bqmo4Cdv3c9xu9exalMFG3bUNKZONG102BB2Lqrx92+EgCKecBgIhBia72q1TTaA7cMPUdevP0graz9ZaRrpDiWhJmXaNPTc3P1j3TYuO+0HALy2fAclrYSVazaVGn+kfRUtBN1KU+2paRv2//foP3h7VTEAO9e8it8fb51Res3PqDnzLKrPPqfZPJFoDJtskJ2W3ITdHUiSxOAcF8FgOKnmbt21g9zyPRy77j/IhsHzS7fy6N8fT9gSxOmwUirCzvs1h7yAihkGoUCYEQM8beZ8KHv24Hj+edLuvx+5JHm+Rk+RlabhtkutPlXaN3zLgD/fycR8K8ePzUWPmfzjvS2NAujAG4dpmtg1G2XCnNLjNNWemra8WLPTIKob+Eu/4/SpExrLWpl2OzVnzWlW3SRmGMT0KPmZzh65BlmWGJzrxOdPLFgCx0zC+btbWXH2mYT8FVTWh/l0fWXSWpKyolLrFUKqv3JIC6gG4TQkv30JibG8PIJz5hCaOROjoOAgrLDjZKfZcVgkQqEEPinTxPPBu9iKi0n/aCkXnDycTLeNnWU+3l29u5nJKD48blp58YUXCOsQTDSn4KDgC0aQDojckySJabMuxJE/GiMWoXbzUq6/+CLSP/kQkoRhBwMRBmanJpS8s1hUhcJMLWnSuffkaVz5y19Qs+l9ANKGHc/ciy5LuGa7zUKVt/V6gIK+yyEroAzDJBgIMzjP1XbV8AZUldDZZxO46KLuXVwXyctwYFUMwtEDQtAliYp5V1I19wJqzpqD3aZy+cy4qe/tVcWU1essXry4UUg17bZqt1soqRUBEz1FZV3LyL2YYfDoq2sAqC9aSSzsZftNN5D98gtkvvFqizl8gTAFmbZ2V4foThyalTS7kjBKtGHvhat3cdS6NxkQqOW+Zz5Kaha0aRYq68Te7I/0/E7tAUyzISCifZqTXFl50HOdukpBVjxPSj8gakrPyo63594nlEcN9nDqUYUYhkm9cxxnnT2HxYsXN+u2On/+tciyjCICJnqERFUjTNPknkdeImjasRDl2Yd+x+zZs3msaBdfV1ZTd9K0ZuPDER23TU4Ynt5TZKfbkc1YM/9m0wej28eN4W5rOReuf4/6mJv7Hnk+oZCyqAreYEz4SfsIlq++avfYQ1JA+fxhhuQ5UdV2XH4shuv//T/Sf//7Xul3ao2B2S4i4eTmDykUwvXfFZxzwhDyMuyUVAfJG3taszFN7f4ii79nqEigPUV1g9JY3Mx80Wmj0awq8+dfy+DzL+TNs35MLGt/fyXDMDF0ndwMx0Fdd3sozHYSCu5/+Gva6PD4u+7GHDECffbZmEjsjQ0glmQv2+1W4SftAyjFxbj+9rd2jz/kBFS9L8jALK3NaL0G5Lo6pGgUSdcxMjK6eXWpRZYlhhakEUhk64/FGHDPXeT+8ynSt3zHFacfjgR88OVuLO78xmFNfVIQvxGIChMHj2Q19z5aW0LYUBmY7eD4MXnIgUBj4MQl8y5tPkcgxMDsngmKaAtFlinMtONrskcvufQS5s+/Fux29vzuNkZdeAZ5mXaCMUvStAhFkQnFINRaxX9Bj2OqKrHhw9s9/pASUD5/mIIMrd15TgBGZiZ1d91F/W9+A1pqS8EcDBoc0t4Do6YUBe/xUwkPGUosLZ1h+S6ylUpAYvjxF/PW228ze/bsZj4p2NciPiJuBAeL8gTakzcQ5Z3V8bDyuScNw7F1C4Nv/Q3u5Z+0CCQIhqJkua3tsxb0EHbNgtsmN/OZNl6HJGFRZS44eQT2aIj/rNhFvT9xlKrTbm210Kyg5zEKCqi/9dZ2j++9uzbFBIJRMl0qLnsnbPCq2muj9tqDXbOQ7bK0CD+vO3UGe357K5FBg5EkicMz/FilCEHTzodf7W0MY3a7XM1ufE6HuBEcDPzBCKbU8if61n93EYrEGDs0gzFDMnCuW4scCqHU1zcbFzMMZGJkpLjGXneQ47ETi0aTBkIcW76R//vqWUbt3sjiFYmbnUqShCHJ+ETPqN5H0++1AxGkh4SACoV1HFY69EO1rF2L/bXXINI/NrvHraEpZvN6aIrSGCwBcNklF3HtnAkAvLlyFxV1objJ6NLmLUQabgSiJUf3Ul4XxnnAA1VFbYhPvylFkmDuiUMBqDrvQkqu/yW1p53RbGwgGKYwq3ea9g5EkiQKMx3NTH3N3o9EGOqWGVtZxGfry9hd4U84zqFZKa8NtVrCS3DwcT75JI5//hPJ5+vQcf1eQEX1GLKpk9cRB3EshuOFF7C/+Sa2lSu7b3EHmfxMJ3q0ZdCEFAqR9cq/yf/bQ4wbmsHkUTlEdYN/Ld2adC6HZqW8LnlFAEHXSKY9/WflTgzD5LgxuQxo4lcKHjG+WUJuKBQly2XtFSHl7cVmVfHY1YSdo70nnETNTf9D6U8uxzThlU+Lku491WKhxisennoLclUV1pUrsS1fjhTomP+67+zeTmAYJpFwhAHZro4dqCj4f/pTwsceS/iEE7pncT2AJEkMynbiDzT3R0l6FNeqFTg2fYe1eBfnnzwcpxbvcLryu+RtDyxWC1V1Iuy8O6hIoD3trQqwamMFiiwx69jBpC37GKWmpsWxhmFimn3DtHcg2R47MT2BqU+SCI4dx6zjh+CwKWzcVcu3RS2vHeKCTkSb9h6MrCzq77oL/xVXYDQpudYe+rWA8gfCDG6ln1Nr6CNH4r/uurgZrB+hqjJ5HluzwrKGy03FpVew+39vJzJ4CG6HpbHtwWvLdiRtE2+zqNQGxY0g1SSL3HtzxU5MYOq4fAZU7ib7xX8x8E93IEWaawv+QJgBWb0vpLy9FLRi6nPZLZw7LoOTdnzBK59sT5r7pGkW0TOqFxEbMIDIlCkdPq7fCiifP0xhpq3D0UvSAY7m/ojbYcNhoVnrg8CRRxEZNLjx72NH5/KDAWl4g1EWf57YKQ3g0GyUibDzlJKoW+7OMh9ffV+FRZE5c/JAYh4P/qOOpv7EUzCt+yuSh6M6Hofa7jSK3ohmVXFrSuLWHLEYF7/3FOdtX07Wlg0s+yZxKxGLquCLiJ5RPYnk86Fs396lOfqlgAqFoqQ7lQ5nzatbt+L51a+wL1rUTSvrPeRlOoiEIwnt+NY9xaj19Vx86ghkCT5dV8LOssTOTUWRCUZos2OqoH14/Ym75TY8JJwyoQCPy4aelU3ZNddTM2t24xjTNNEjUbLS+55p70ByPXbC4QQBSopC/YyZWCYfQ4Uzg/+s3JVUw3fabZQKLarHsC9aRPqdd6K9916n5+h3Aiqqx1CkzrUSUDdtQopGIdb/b7aSJDEw24nP39yU4l7+CQPvvpPMN15lQLaTU48egAk8v3Rr0ooUTodVNI9LESU1/hYPVlv31LN+Rw2aVWHmMYXND2gSshsIRCjIsPdoIdhUIUkS+R4tYY+z+pNPhdtuJmPkMPwhnbf/uwtoWYlfkiAaa726v6CbME1Mux3TaiU6dmynp+lXAso0TSKhSKdDa0OzZlF3++0EZ81K8cp6J1aLQqbL0qxgZ3DkaAyLBcPhBNPkrOMG4XFZ2VHmY/n6xOYUSZIwUPCL/JMuUe8PI8lqs9dM0+SNz3cAMP3oQoa+/Tp5jz+CWl3VbJweM7BZ4jlv/QWn3YpFMVv6OCUJSZI4/+RhSMDHa/fyxNP/TliJf9FrL1NaIwJ5DjqSRHDuXGoffJDYoEGdnqZfCSifP8yAbEengiIaiI0Y0ScrRnSWzDQNyYg13gT03Dx2/en/qDrvQpAkNKvK+SfHS5MsWr4TbyBxyw2H3UKZaB7XJSrrwzgOEDAbd9WyZXc9DpvKaWMycP/3c5xfr0X2N88DCgYj5Gf23cCIZBRkOhKX6gKGWaLcUvYpczYsZUtdWtJK/IqiiiLHPYTp6mAE9QH0GwEVCEXJTrNis6ptDz4A6/LlUFzcDavqGxRmO5vdBAxn80018QdZjB7iIRDWeTNJFj+Aoopq552l1htCVhNoT5/FP+/TfzgQzZNG8e//QPmlVzQLaAmGo2S5Le1vG9OHUBUZj8uSMDdKDgWZUrudyaXfEQ1ZmDbr4oSV+DXNQo1P9Iw6KOg6rkceQd20KSXT9YsdHdVjaIqBx2Vre/AByJWVOJ95BvVXv0Kuru6G1fV+VEUmO83WwlZvK9pO3uOPIEcjXHjycGQJln1bSnFF4oAJzaaKG0EnME2TKm8U+wE1Itdtq2ZHmY80h4VTjoqX2oplZOI7bkqzY82Y3idzntpLlltDj7bU3KMFhdRefiVrf3ErAaudcPoRwH7rSbNK/KLI8UHBtmwZ1tWrcT7zTNKmmR2hzwuoBr9TZ1tYm1Yr4alTMaZOxcjMTPHq+g4elw0FY7+93zTJfvE5nGu/Iv3jDynIcnDKhEJME176OHkWv02zUCEaG3aIKm8Ii6259mSYZmPNuTMnDSRtV1HCY/3BeGBEf0aSJPKSBEz4jpvClFOOIMNtpbjCj7NwfON7BxY59kUMEW3azYSPP57AuecSuPDCZmXUOkufF1ANfqfORi6ZaWkELr8c44YbUryyvkdhVhNTnyTFO++e/iPqp54MwKzjBuPUVLbsruOr76sSzmFRFbyhGLouknfbg2GY1Pl0bJbmAuqLzZXsqQyQ6bZxZqSYAff/mZx/PtVsTCxmYLfQoer8fZWkAROARZVJC21jaM0eCsbMYNHiNxNW4nfabSLatLvRNEKzZxOdMCEl0/VpARVvJWDplN8J6HSF3f6Kqshku60EQ3FzSujwUdTMPhfDEXe+OzWV2VOGAPDqsqKkT6MOh5USYU5pFxV1QWwHBEbEDLPR1zfr2EFYYlEMTSN02A+ajQsEwx2rMdnHKchwEEigRUmSxPnb/8tNq59n4p5NvP9F4kr8siyKHHcbwWBKTHoH0mcFVCxmoHShlYC6fj3ue+7pcqZzf8Pj1pDNWEs/kmkiBYPxMjvZDqrqwyz5KknzOFkmqtMsfF3QEj1m4A3qLao+rNxQRnltiFyPxnFj8/BOmcquP96L99j9vqdwRMfj6p+BEclQVZk0e+IKExMuuYRBQ/NQjRhLvthDtTecsBK/KHLcPThfeIH0225L+f20z+7uYDBMYRe6hNrfeQfLpk1YNmxI4ar6B4VZTvxNnjKtxbsY8Oc7yXnhWRRZ4oJ9YefvripOWjU6rkWJiL7WKK8N4LA3D+yJ6jHe+m88ovTs44eg7EuZMJyuZnUh9WiUrH4cGJGMHI+dcKjlg4//6GOovv8BQqedRjRm8PryHUnN/larlXLhJ00dkQjq5s3IpaWYjtRq9H1SQPn9YfIztC49Pfp+/nOC55xD6LTTUriy/oGqynhc+9seGE4n1pIStG3fIwWDjBrs4ajDsojoBq9/tiPhHJIkgSRT7xfmlEREojECERPlgHYYS7/YRbU37ledVvoNzrVfNjdFA/5AhDyP1i8qRnQUSZLITttvhm7yBoY7jXOnDsWiyKzZXMm2vYnralotCr5QTNTpSxVWK3V3343317/GyM9P6dR9TkBFojEcVrlFK4KOYjocBOfMAVvHQ9MPBbLT9rc90DOzKLnhJorv+BOmPR4xNvfEYaiKxKqNFUlvBA67lYp6YU5JRGl1AOcB2lM4GuP1ZfEeXOeN85Dz+ivkPf4o1t37c/QMw0SVjC7v/75MusuGacQS7qsst43LsuqZtn01L39ShJFk7znsNkqqhJ80ZVgs6GPGpHzaPiWgTNMkGo6Ql9n5sFq5rKzFE6kgMQUZdgL7yheFDh+Fad1/U8zxaMyYOACAlz7e3uxG0PTGYbFaqBLJu80IhCLoptyi4snHa0uo84UZmu9i9BGDqPrxBdRPPblZUq4/FKagD7fSSBUFGVrCgAm1qpLzPnuFs4tW4Nu2kzWbKhIeL8sSMREw0TVMM17kIEGOWqroUwLKFwhT2IWQcikQIO0PfyDtjjs63Hr4UESzWbAf0JYDXce1eiWYJmdMGohV1tlR5mPVvsaGDWVm/vXcv4B4z6i6gOgZ1ZTS2hBOR3MNKBDWeW/NbgDmTBmCZLFQf9IpVF58aeMYPWbgssh9upVGqtBsFiwqLfaVnp2Dd+bp1M49n2p7Gq8v30E4WbSpZqW8NiwSyzuJddUqXE8+Sdq993boob/W2/4H1j4joMIRHY9dRetsSDkgl5aCqmJarZjOzgdYHErkZTibOaUL/vYQuU8/iWv1SmwWhXwlXkD2X+9/RyiiN6uB1qBJaZpNZPHvo9YbQlZa7uElX+whENYZPSST0YWuhOarYDBCTj9Pyu0IycLOq885j/zLz6MwP50aX4QlX+5JOodNs1IuWnJ0CiMtjdiAAYSnTm13mo6uG1R6219UuvN3+yZ8/fXXPP300xiGwamnnsqcOXNSMW0jpmkS03Wys91dmic2fDi1992H7PWKvKd2IssSOelWqnwRHHYr3snHodZUEXO5kSSJ/73+fH718IcETTvzbryP+u3LG2ugNWi6qiLjC8X9h1bLofv0bxjxkkYuV/Pou6f/+QKrqgYAClePUBhy+//yD8VK6cgxjWHS4aiOx6UeUmHlbaGqMu59YecHapWyJHH+ScN56KWveW9VMVPG5pHhbulvtqgKPr9OKKJ36eH3UEQfM4a6P/6xQ8fsrvLjdLQ/+rTLu90wDJ566iluueUWHnzwQT7//HN2797d1Wmb4fOnsIW1zYaRnZ2auQ4R0pw2ZAxM08Q3+TiKf38XwbHjgHjO08/m/jA+btixKDZ3M+HUgOgZlTgp1zRNttXZMVBwy15Gf7+W3V+vZfunnzTTQqORQzOsvC1y0hOHnQMcVbWN+9c9z8i9W3ijla7QYm92AVlud0mjytogkqx2qNtElwXU1q1byc/PJy8vD1VVOf7441mzZk1Xp20kFI4/OXblyVveuxfbxx8fEo0Iu4uCTAe+QDi+GZtU3TZNk4/e+jeBsk3IipX0H5zcrLxMA5IUz+L3HaI9o3TdwBts+aRf549QY+YBsOXzlxn75DMsCEaRz7+oUdAHQ1Fy0myHZFh5W8iyRKbbQjBBUrhaW8vhtgiTSzaw8rvypF2hJUlCVkQwT3vRFi/G/sYbEGr/5xWK6NQGdTRbx7TULuu01dXVZGVlNf6dlZXF999/32Lc0qVLWbp0KQD33HMPHo+nzbkNw8QWDnPYgIwurVF+4gnk1asxdB3joosSjlFVlex+qFml9LpULxFTit9kIxEc77/DO2+9xeJ1G5g99yd865dxFY7n3Y//gabZuPHGG5vdVD2A3x8kKyujyzfbvvZ97SipY0Chq8XT46uffUs0ZjBpdD6vflAKksRKzcnK225DkiRM08RqDTN8YNd+Az1Nd35f2dmwpbgap/MA/9yss4nl5lBe54GVO3lt+S7uvOq4pHuv3hsk3ZPeoSCUvrYP20vS66qvR/3gA4hEcJ54Igwc2OZchmHy/e4aBhamdfh332UBlciZm2gR06dPZ/r06Y1/19bWtjm31xdiSK6DysrKLq3ROn482s6deI85BjPJXNnZ2V0+T28kldelmibFpT5cLg1b0XYyX3iOiSUlXHj6TC676ie8tnwHH3yxhxHHX4CqVFBXV9dijnBUZ/N2P9npXXP296Xvyx+MUF4XbRG5V1kX4sMvdiEBji8X4TAMAvvMJffccy/z51+LPxilwGOhsrJva//d/X3ZiLBnr7fFZ8yYcUwL63z89V427armw9VbOWZkTsI5DMPk2811DM5rv6+7L+3DjtDadak33IBl0yaCmZnQjmvfW+nDkFV0vUlIf356u9bRZQGVlZVFVdX+ytZVVVVkZHT9aa/BtJeKkNrI5MlEJk0SgRFdRJbjWfy1gSgMG07N6T/CevhILhs1BkmSOHPyIFZuKMcbdDL62IkJ57BZVGr9QTwuG6rS/x3+pmlSVhtq+XQPvPXfXcQMk1yzgklvPMfcgQPJf+l17v7HMyxevBjThCsvvxyHdugm5bYXp92KUh8PGT9QS3XYVM79YT6fvbGClz+1csSwTDRry/tKvJisQq03hEf4+5KijxqFPmpUu8bW+8OEYzKOBJ93e+jyHWLEiBGUlJRQXl6OruusWLGCY445pktzmqaJEdPJTutiSK2oVp5y0l02jH1Z/DWzzyU4emyjxuywqZx9fDyp9LVlRUSTtNxwaDbKDhGndJU3hGpp2Q5jb1WAld+VI8sSY7Uq3KNGM/S44zFy8xorcVtt9i4lpR9qFGQ68AdbJt7Kfh8XvfIQv/zuPxiV1byzKnn3bLtmodIbQY+JvL0DkRJYRFpD1w3K6sI47J1vB9NlDUpRFK688kruvvtuDMPglFNOYdCgQV2a0xcIMzi7i1F7sRhpf/oTkYkT4/X2VBFCmioKMjT21IRxOfaH7cp+H4bTxQnj8vn46xL2VgX48Ku9nD6ppY1aUWT8oXi7FLvWf3sZ6TGDWn8UdwLtafHnOzFNOHF8HhedOgXzuispDQZIkyQkSeLqa67G0EXoc0ewWhScVine6aCJdm44XYSHjSDb5sauh/ngyz0cNzaXgszE9xiHw8beKj+Dc7uW1tKfUDduxH3//YRmzSJ4zjltjjdNk+JKP64OhJQnIiU2lqOPPpqHH36Yv/71r5x77rldmisc1UnTlC7ny1i+/t7aEnMAACAASURBVBp161Zsn3zSpXkELdFsFjQ13vIEwPPuWwz531+jbdmMIkucd9IwAN5ZXUy9P3HUnsNhpaSfV5Quqw7g0Frm3uwo9bJ2axUWVeZHk+MapyTL8Yrl+wiGohQcQr2eUkVuhoNAqKUWVX7ZVfjuvJPDjxuDYZj8+6PtSWtEKrKMgdKhigf9HXXLFiRdx2xnSHlZdRDF0rGQ8kT0KieAaZro0Sg5nq6bNaJHH43317/GP2+e0J66gbymNwLDQIpGsW/eCMDYoRmMG5ZBKBJj8YpdCY+XJAlFsVDdT0N7A6EI4ZjUolo5wKJ9OTlzhloY8fYryN7mxXZjMQOnVUJVe9XPs0+gyDIeu6VFM03TbgdJYs4JQ3FqKht31fJlkq7QsM/U54uIztD7CM2eTd2ddxKaObPNsV5/GH/UbNElujP0ql9AIBihMMOemnwPSSI6bhz6EUd0fS5BC1QlfiMIR3Xqpp/Gnt/eQs1Z+yuIzD1pGLIs8dn6UnZX+BPOodlUqn39z95vmialNS3r7QFs2lXLxp212G0K5xf/l/RPPiLj7TebjQkEI+R4hPbUWbLSNSJJmmWmG2FuiX7DsJo9vPzJdkKR5NGRTrvG7qrEe/dQJDZ0KGitm+x03aC0Lowrwd7vDL1GQEX1GA6LjGbrmk9Cqq9HqqlJ0aoErZGVrhGNRDFtGuFhI5q9V5Dp4OTx+ZgmvPJpUVJzisPe/wImqupCqNaW+9g0TRZ9FteeTjtmIP45c/BPOJra02c1jtH1GC6bfEhEOHYXSXtGAWmffsykjf/l4j0rqfWGWw2YkGUJSVaprO/fpujWsKxbh7wneS3DppimSXGFr8t+p6b0ml9BOBQhNwWFMO2vvYbnt7/Funp1ClYlaA1JkshNtxEI7fczqeXl2DesB2DWcYNx2OLmlG+LEj80KIpMKCbh7ycVJnTdoDagJzRvrNtWTVGpF7fDwqlHFRIZMIiya68n1iRpPRASBWFTQbKeUXXTZuCf+EPsP7sGSZL44Ms9rfaF0mwqtftq9R1qSMEgzieewHPrrSi7Epvqm7K3yo/FZu2y36kpvUJA+QMR8jK0rl+YaSIHAhCLoXcxklDQPv5/e3ceH1V5L378c5bZZ5LJOgmELRAUVDZBLYitS6vVWuxmEcGq99a1u+3V+6q2WLRqq22vVn/Uq1gvuFSqgnsRFWnVKiAoInsggezbJLPPnDnn98eQQMhCQiaZmfC8Xy/+SDI5eQ6zfM/znO/z/brsFmQjUafPXHWAUb/5JYVPPoYUDuO0mfjaFxLPw8p39/W4lOe0m6nzhodFY8PqpgAOe9fECF03OurBfX2Gp9t9ODEtTrbdJArCJkmRu2vPKMNqpf77N1I4czJzTvWg6wbPvLO319ee026huil44rXliMeJzpxJ7KSTiB/j87TFFyaqS0lvBZPyd0I8rmNSDJzJ6BAqSfhvvpnW++5DLy4e+PGEPvHk2PAHo0RHlBAZN57gaVORtMTyypemFlPotlLXEuLdT2p6PIbJbKY+w7P62gIR4lLXRoQAH+1ooLopSIFTZcErf6HgyccTF1NHiESieHJEG5hksVm77xnV7htzx+JWdHZUtvJRD40NIbFSYLaYqWk+se5HGU4nwauvxnfrrb3uIw2GozT7tUHZUJ7yABUMRXrcj3C89ILuS5kIg8NqVrGpENcNqn/8cxoWXYPuTOwhURW5I+385Q8OEAh1f/PabFLwheMZu5QS13UaWqPdvkm1uM5LHyRmT4tGG5ibm7Du24t+RIfimBbHaVW7zfoTjl9PPaOkaJRxLzzNg58/i0WL8rd15fh6eG1Coi1HVJdOzNTzXmb0mqZT0xzB6ei6apCUPz0oR+2jcDhGnss88BvChoHtueeQ6+uTMzCh3zy5doKhSLcp/VNKczl5dDbBiMbL/+55Ldtpt2Rs24Pa5iDWHlYB1n9aS2NrhOJcGxO/chYHfn0X9d/7j07/V5FIlIIB1icUujqyZ9SRDJMJc3U1xUqU89Vm/CGNlevKez2W3Wqm0RcjkqEXUX0lV1WhLF6MUt77/4euG1Q2+LF3s6SdtLEM2pGPwTAMDD1OThJqXpk/+ADbq6/i+t3vQLQWTwlVkcmyqR37T8xVByj+nwew7CtHOtQ8TpJg3Se11PYQhCRJQlFNNGbYUl8gFCWsSd1eaAUjGq8cCsqXnT0WWZbQCgo7ZT22z56SeXNZOKzbnlGSROOChRz89V184ZpLMCky/97ewLb9vWcAOx0WDjYO7/tRtpdfRvrkEyzr1/f6uKpGP+YkJ0UcLWUByh+MMCJJTQi1k04iMmcOoXnz+tw8S0i+AretY/+Jc8OH2HZ8Ts6rqwEoKXBw9qGb0n9fv6/HY1jMKt5Q5mRN6Xpiz1NP+z7e+Ogg/pDG6dlxztK7v88hZk+DS5Yl8lwmwkcFqejIUcQ8RRS6rVz6hURFjxVr9/T62pMkCavNQlVj972lhoPgVVehf/ObvZY0qmsOokvJKebdm5R9mruSUM6onZ6XR+C664jOnZuU4wnHR5Ik8g99ELRceAner1xE/TXf7/j5vNljsJoVPi1v4fOKntuttGdNZUJWX01zAEsPN4eb2sKs/Tixh+SHzRsZ+cffk/XuO50eI2ZPQ8PtsqLrWpfX1IrlK1i69C9ckhdmijVCU1uEJUtfYcXyFT0eS1Vk4pKScTP9vjLsdvRFizCyu2+J0ewLE9Tod/PB45GyAFWYhHJGRKOdK5YLKZfd/kFgs9H8je90qi+X5TDz1UPFY1e+W97jMokkSZjMZuqa0/sDwB+KEtF6Tq1d9V4FWtzgjIn5OCZPIO5yEZg6vdNjxOxp6BS5bZ0SJgzDwOf30/LsUxg/uJ5bfJsAg/pYLjWtXfdQHclmMdEW1mn1D5+kCbmq6pifp75AhJaAhn2IijynLEAlo5yR89FHcf3hD8jDsGFYJvO4rfiPzJwyDEw11QBcMGMkeVkWqhqD/POz2h6PYTYpBGNG2raIj+s6dS2RbssZAVTU+flwewOqInHZ3LG0XDKPyrvu67QpV8yehpbNasJyRJFjSZK44YbrGfGNb7GnvoFHXn6Rtr3vIUkyXtspRI9Rh89hN1PdHMyY5ejeSK2tZC9ZQtaddyKFur8wDIaj1LVFO3UxGGwZe8NGamnBtG0b6o4d4r5TmrFbzZgVA103kKIRRtx/LyPvXYLS0oJJlfn2OYm081X/qug1tddhN1PXEknLWn1VjQFsPWTt6brOyncT99nOmz6CvKzEG9owd35jRyJR8rNFY7yh5MntXO1ckiS+9+Mf89P8YlY63XjL/0VJvp2G1jDPr99/zOO5HFYONgYzvqis0tCAYbGgZ2UlCuseJRzVqGoO43IM7es1Y8t8Gzk5eO+7D7W8HD03N9XDEY5SlGOjojGIy24lnp2F0WDB1FBHPCeHGWV5TBrtZnullxfW7+d7F5b1eByb3czBxgBjCp3JKSKcBE1tYQyUbvcsrVi+ggOtEvuiYyiUotz43lMsWxenddx4Fi5a2PG4jn1P4uJqSLUXOQ7GEuWoDMNg6dK/EJEOPQ9GHIfvUxS5jHWf1DB1fC6njO25Q7gkSTjsViob/Iz1uDJ2NqxNmID3vvu6nT1FohoHG0NDHpwgg2dQAEZWFrFp01I9DKEbJlXBaZLR4jqN311I5Z33EJ6YaBMtSRILzh+Pqki8t62OPVVtPR5HkWVkVaW+JT3uR4UjMVoCMazdrMEbhkGrL8Du1sTN5R/I+2ha/w72117G5/d3uqcRFrOnlMnLtqJFYx3BafXq1cybN4/XX3+NG8+ezZn/9xDjYnsBeHLNbgLh3pfwZFnCYrVQ2eDPiMSeHlmtGDmdg3FMi3OgMYjTYUnJBWLGBSiprQ3Thg0iOSIDFOTYCIWixLOzuywbeHJsXDgzkTDx1Ft7iPeyr8RiUgnGwOvv2ohuKMV1naqmnq8kJUli1LSLUG1uom11/Ofrf+dBf5j6b17ODTdc3/EG1+I6LjF7ShlJkvC4rQRDMVxOJ/Pmzet4fq7LyeKcXDfzajdTWuzC64/yzNt7j3lMVZFRTSYOZliQMm3ciOWtt7rdPxrT4lTWB3A6rClbvci4JT77ypVY1q8ndOmlhL797VQPR+iFIsu4nSrBqIbFrIJh4Hr/XyBJ+GafzVfPKOHDHfVUNQZ5e3M1Xz59ZI/HsttMNPrCWFQ5JW3iE60EAthsPd8gbvCGeWPDQQBadvwDDXjFkcXrv/hFpzd4KBxhnMfZw1GEoeCwmTH5o1xx5QJkSep4fpq+cwVZo0Zz8kWXcE0gzpLlm/loRwOTx7iZfYqn12OaVIWIYVDVGKCkIAOe30gEx4oVyC0tGE4n0TPP7PhRNKZRkeLgBBk4g9JKS9Gzs4nMmZPqoQh9kOeyosUSiRC2ndspWPFX8lY+g+z3YTYpzD83UVHhpfcrafH1PkNyOaxUNYe7lK0ZCjVNARTV1GutvOfeLUeLG0z270ZvOVzSaenSv3RcVWtxHadZzJ7SQXGunWAw0ukDWCssxPv1b2CYzXhybFxxXuL1+fRbe/tUhstiUtFlhYOZsJHXbCawcCHRGTOIzprV8e1wVKO8pi3lwQkyMEBFzj0X7x/+IKqVZwhJkig41DMqdNIkfLPPpmHBVR37o6aU5jJtfC6RWJyn3+697QEkSs1U1geGNLOv0Rsiqsu9bizfuq+ZT/Y244r6uOyVh3g6y8qaZ59h3rx5rF69uiNIhcIRCnLEvad0oCoybqep59p6msa5dh9nTiogquk8+sqOLq3ku2MxqeiSkv7LfZJEbOZM/D/+cUcmdDAcPXTPKfXBCTIpQMWPeGF0U5BUSF8uuwXJ0DGAhkXXEJh1Zqfy/VecNx6rWeGTvc1s2Nn7njZJkrDbreyt8g5JkGpuC+OLGL0uK8Y0nb+9kyiseZJaT87YMZSdfTZ6djY33HA98+bNw+V0EtcNMXtKM/lZNjQt1iWQSOEwJb+9k5F/up+rp2bhybFR1RjkuXd7LtN1JItJxZBVKuvTMEjperddx1v9EapbImQ5bWkRnCBDApRcV0f2f/0X5g8/TPVQhONUlGPr0jVXaWtFioTJcVn4zqG9Uc+8vZe2QO+bc2VZwma3UFHnH9T9J15fGG8wjt3W+z2vV/5dSb03TFGujWt/uoisp56j/trr4NC9jRtuuJ6FixaK2VOaKnZ3fW0aVivRklFo7hxssQjXXXISqiKx/tNaNuzsuXfUkcwmBcVkoqLW32NPqlSwvvkm7ttuw/zeex3fq28J0ujXUpJK3puMCFCWdetQGhsxbd6c6qEIx8lqVrEqh3fx27d+wqg7byd39QsAnH2ah0mj3QTCGk/3IWtKkWXsdisV9f5B2cnf2BqiORDvsVJEu4o6P//YcBDJMLjqy2WoioxkMqG7sjoeI0lSInPPImZP6chmNWE30WVG3vjdKzl4+2KiY8YyqtDJ5V8qBeD/1uzmYEPfmheaVAWzzcy+Wn/atOlQ9u9HCocxbDZ03eBAvY+QJvVY8DiVMuLdErr8cgLXXktwwYJUD0UYgI6eUYDmzkEKhzA11EM8jiRJLPryBCwmhY93N7Fp17HLV8myhMNh5WBjiLZAclLQDcOgpsmPL6IfMzhpcZ0n/7EL3YBbg5uZtekt0Lr/EAqHI+S70+vqVDjMk+MgfNQsSnc4OlX/+OJpHs48uYBITOeRlz7H30sVlCMpsozTYaWyMZi01+lABK67jrbbb8d36hT21fqQTeYhKfx6PDIiQCFJRL74RYysrGM/VkhbqiLjtpuIxuJER42m6rZfUXvTj0FJJB/kZ1v51jljgUTWlC947A8ASZJwOa00+eNUNfoH1KcnpsXZX+tDQ+1T++o3NhzkYGOQMiXEuVWf4F7zGqa6rvUFY1pc7HtKc7IsUeg2E+wu6Gga7tdfoeix/8eiC8YzxuOksTXCo6/u6FgROBZJkshy2mj0adQ0pfi+lCRRW1jCwaYQDod14A1jB1H6jswwsL70ElIwMzusCt3Ly7YSjSauVCMlozolSxiGwTlTiphYko0vFOOv/9jV5zey3WYCxcS+Wj8t/WzLbRgG9S1BKhuCWG3WPrWBqWoM8Oq/DwBw6TdmUXfLrTRdvoDYyJIujw2HY+SLiuVpz2W3oMp6l6CjBAK433wDx+aPcR3Yz01fn0SW3cSOylaWr9ner7/hsJuJSyr7anyEI32bgSWDXFeH8+GH0Rqa2F/rIxBNbNtIl2SInqRtgLKuWYP9+edx3XefqBoxjEiSRGG2hWVPLO9IvZYDfgoffYTX71zM0yue4pqLyrBbVLbua2Htx9V9PraqyDidVtrCBntrfDS0BHvN9Itpceqag5TX+InoiWWYvtRS0+I6f/3HbuK6wRenFHHyaDfhsom0nXNul8dGY3HcdlGxPFOMyLMTPGqpL56dTf1V11Lzg58SGT+BHJeFGy6dhCJLvPbBPv7VS1X+7phUBbvDSlVLhNqmwJB057UvX47x3gdEn3oOq82Stkt6R0vbUUanTMH84YeELr2001W2kPmcNjPepgbWrH0TgFtPGk/ji88zqrGJymuuJ9dl4eqLynhk9Xae/+d+xo/IorTY1efjWy0qWFQiWpyK+iCyZKDIEu0xQtchbhgYhoTFasLp7F9lipfer6Sizs8X/JVcUdpz9QuAaCTGyKIMqCogAIn7RQVZZpqD0U7LvMFpMzo9bvwIFwvOG8/ytXtY8eYesu1mTivte9FqSZJw2i3EtDjltX7cTpU8V/JnNLpu0OwPU3Hx5YxUbATmL0j7WdORlMWLFy9OxR/2+Xy9/txwuYicc86Qbci12+0Eh+FyYjqelyRJnDPnLA7WeXn1lZdZ9q/30X0+6r5zBdf86IdIkkRRrp1gRKO82sf2Si9fmOzBrB6e8FutVsLh3pfyFFnGbFYxmVRUVUU59E81Jb5nNvd/ZvN5hZen1u4hP9TCvQfXULThPQLTT0d3dQ2gkahGtk3pV3O3dHy+kiGTzstqVhP9zCS529fHS488QsPzKzn7ym+gmsxsr2hh4446Krd/yKzpp/TrbymyjMWsEo7pNLWGiWtxLGZlwDNuTdNpaA1R741gSAqWnCxCM07HMPXttdiX99dAFOe7j/0g0niJDxAzp2HMYlb50Y3fB0nGkCSecuVw5c9+1unq7ltzxzLG46SpLcL/rdmd8g2PXn+EZa/vxADmzp0E58whMGUasaLuL6JiMY0c19A1dxOSp7ulPgDJ7+PiN17i5Ddf57Xf3Mn8808iV2lBR2art5Capr6lnx/NYlJxOqxEDJmK+gCV9Yl7qf3ZjB7T4jS2hqio87O/IYDR6qdo28d9uqeartJ2BjXUMukKrz/S9bwMw+B3997F1h3lHVlEfr+fmTNPx7nlY9RWL3phIZNGu3l/Wx0HGwKYVJmykYlWFoN9hXc0La7z4IufU9sS4qRR2Sy86GRCU6cRmDaj24aZoXCMPKep32v96fp8DVSmnZcsSZhkaA1qmI78gDdbcOfnU9nczG+3befRZU9Qu3cTo8qmETZsbN3XwsyJ+VjNx3f3pH3Wr6oqwZhOU1uE1kAUXzCGPxglFNUIRzSCYY22QAxvIILXH6XJH6EtoGHIChaLCYsqM/Lh/yH7nbeIOxxExpX2axxiBiWcsAzD4Ne//jXLlj3OvIvO5YVVL3XUrHvtN3fiefRhCpc9ihzwU+C2cu1FE5GAF/9V0WV/1FDMqgzD4Nl3yimv8TE9Usd1F044vASjdL06NQwDQ9fIdorZUyZzOSyYFb3LLKbtggsZ9+iyI5oc6tx105cZV+SiqS3CAys/S0prGItJxeWwYrdbsVgtqBYLcUkhYshEDBlDUTFZLFhsFhx2Kw6HBZN66PUoy/hmn02soJDA6bN6/0NpTMygDsm0K7y+SsfzkiSJjz/+mMmTJ3PXbxbTGohwxhlnEAgEMAoLmZXtwveFsxMNDg/djzIpMtsrvXy8q55Jo92MKHQTCoVYuvQv7NyxgylTpwzaeNdsrOKNDQeZ2HqQ31a8Tv6BvfhnndXtzAkgEIpR5D7iw6If0vH5SoZMPS+n1URjaxCz+fC9GwNY+pdH2blzJ5JhcE44wM5ojP+c/xU+r/BS0xTkk73NTJ+Qhy3J2XKyJCHLiX/HSnaIjh5D29wvYdjs/f47YgYlnNBuueUW7rzzTiRJYkSunWA4yg03XM+VV11F7c0/oe28L3e6B/mVmSPIVVowkHngb5upqG3t6IZ6dLfaZDEMg492NPD8P/cD8PVzxmPJzyEydlyPBYt13cCsGH3a6CukP1mWGJlrw3+oAsTRXXg/+8+rud1uxvHUk6x4chk//dYpjCp0UO8Nc/9zW2k+RguZZLPu3I7a3HT4GxleWFsEKCFl2q8AzSYFl1U5vJRyRGCS/T6y17yBLEnc9YNLyJbbiKPysz++zqtr3+vUDTWZVixfwb0PP82yN3YBiYSNt3Zt4g/jJ9F8Wc+NMoOhCEU5YlPucGK1mMi2KYQj2qHKJYe78IbnnkPJaaeRfdHFuJxOXHYzP/vWqYzxOGloDXP/c5/S4B2ae6Xmiv0UPfIgI37/WxSvd0j+5mATAUpIC4VuG9HIUVlTus6IP91P3osrcb/xKqoic/fNFxJu2odiceKZtZCLv3ll0oOTYRgcaJUoD5dgCwdYVBxl74ZXWL16NQ1aHKOHvxfT4jitynEt7QnpLd9tA10jrussXLSw46IodvJkDtx1H5fefgcLFy0EwGEz8ZNvncrYQyWR7n3mE8prBv+WhlZQSGTMWEKTTiGenT3of28oiAAlpAVJkijKsSb2n7STZZq+dTmRMWPxzZmLYRg8/tj/0rD5OUINe1DMDu556mM+LW/q+cDH4Z0tNeyPjcGqx/mPtx9iwu9/xP6Vzx5zthYJxygQJY2GrZICB8FgYsnuyNeAYbZ0fG0p34Prn+twWFV+8u1TmTTGjS8U44HntrJ597ELIA+EbrdT+4Of0rDgqmGzRUcEKCFt2K1mrKrRKWsqNOkUqm69Hc2VlVj7X7WKeV+7mOcf/AFupRUdhT+v+pzXPzqAPsD7UNFYnKfe2sOz75RjGPCVs0vZEmigQVGpVM29BqdgOEpBtlmUNBrGFFnudD+qy8/bWil+6I8UPL0c666d2C0qP7xsMmef6iEW11n68g7e3FSV1PullvI95LyyuqMcnGE2Z/x9pyOJLL5DMjXL6Fgy7bycVhON3hDmI/eRHGr8t3PHDr5haNzossFZX2D26ePYtHEjft3JjspWdh5opawkC0c/Kje0q6z389Cqz9m6rwVFgu9dWMbuj15hZfl+3rM68ClKxz6to4OUrhsYmkZhTv+zpY6Wac9XXw2X8zKpCoahEwjHMalKp2w3w2JFt1gwVBOtX/kqHMq4m1Kai6rI7DjQyucVXuq9YSaPcQ+4irgUCTPyd3dj37aVaPEIYiN6L7vVH+mSxScC1CHD5Q10tEw7L0mSMKsSXn+syw74qRPLmP3uWixVVcRPnkQoN48vnTGJsUUudlR6qWkOsf7TWvxhjdGFDix92EHf1Bbm7+/u46m1iU6+F7dsZ3HsE1bXV7Dq5ZeZd9ll/P5//oTf72f16tXdBil/IMKoAkdSZk+Z9nz11XA6L7tFJRCMEEfCYbd3+iCPjCslMGNmxxYEKRJGDoWYUFpIUa6NbftbqKwPsGlXI2Ujs8h2DCDbU1WJZ2ejW214v/LVHrc9HA8RoESAGhKZeF5mk0IwHEXnqFpoJhOB6acTHTEC44vnEg6HkSQJT46N2ad4aA1EqawPsK/Gx1sfV3OgPoAWN7Cockd9s5im09gaZvOeJl7+oIJn3iqnsj6ALEtceFo+N1e8TXZDLbUWC+7pMzqW9WbOPB2/34/L6WTq1KkdQwpHNLLsMk5bctLKM/H56ovhdl4uu4nm1hAOp5NI5Kglv/aLF8PAs+xR8lY9T2TMWDwnjWF6WR67D7ZS2xzi/W11OKwmxnicfU70MdVUYzlYiVZQCEC0ZBTBqdOTGpwgfQKUZKSowFl1dd/bKAyF/Px8GhsH9yZmKmTqeem6wb46H05H90kHbrcbr9eLqbaG/GdX0HLxpYQnnsyBej8vfVDJp+XNXbq0mFSZmNa5KoBF0jl9fC4XnV1KUa4d84FKTLU1BGadiWEYnW+GH/W1rhtEwhHGFvW90vqxZOrzdSzD8by0uI43rBCPd63ZByAHAnj+9xEs+/dx8I7foOXlA4l7nX9bt49/bk206ZhYksXCCyZQlNv7ErG5Yj8jf383ut3BgV/fje5wJPV8jtT+/kq2Fl+E97bVccfVc/v0+AHdTfvggw9YuXIlVVVV/Pa3v2X8+PEDOZwgdJBliRE5NqpbIjgdPZcMynv+OWw7dxApGU144smMKnRy87zJeP0RNuxsZNfBVrbvqyeqK8Q0HVmWyLab0IMNnNm2lx8EKohMmEtL7qkAREeNJjpqNECXq9qjvw4EI4wpHPh9JyEzqYrMGE8Wn+w6iMtp7fJz3eGg5sc/x1Rb0xGcMAyKXl3F9yefyqRRE3nmnX3sOtjGb5Zv5uIzRnHhrBJMR1TtlwOBjkAUHT2GcOkEYp7ijMrSi+sGW8ub+efWWj7b34JhwB1X9+13B7TEJ0kSc+bMobKykqlTp5Kb2/d+KGKJb2hk8nmZVIV4PE4oqqOqnZcw2pcgAlOmYVgstJ53AYYlEcgcGz5kxJuvMLasmGlzJlG55R+Uv7yUK91BbvnOWews/zfrX13O6aXFfKm+GjkUwjdnbr+WSULhGDkOFUeSlvbaZfLz1Zvhel7ZWS5i4SDeQBSzqZvrfUnq1IrFumsHBU89iW3XdhyXX8acUz34QjGyPt1C1d5a1h6IkmU3UZRro+TeJeStep62s89JvLYlCf+sswhOm97nthnHKxlLfHUtId7cVMUTb+zmX5/VxThbKgAAD+ZJREFUUe8No8gSM8ry+drsCX06xoBmUCUlXdtbC0IyFbhtVNT5iMdllG6yngyrFe9Xv9bpe64P38e+7TOCp05FkiRuuOF6yqoqmfraSzy/bi2rs/OYN28e37z+Oqr37iE8oaxfV6RaXEeRdHJcYvYkJIrKxuIGreHYMXt/RT3FeC/8KrrFCpKEw6py9XnjKHzmLsq9MX6WezOPvrqTkgIHi6MyoyUJa/nexH0mSPsU8qa2MBt3NrJhZwOV9Ydbj3hybMw9zcNZkwvJsvf9oi4p96AWL17MokWLel3iW7t2LWvXrgXg3nvvJRrtft02VVRVRdO0VA8j6YbDecXjOrurWnA5DwcERUnMrrojN9Rj/nwb0cmnoB+6mazu2c2ySy9ht8nMm3YXH3zw/nFVoDAMg0AgzISR7m4D5kANh+erOyfCedU2+fFHdGw9BKnH/vcxfH4fP/nJT5AkCcMw+NOf/kSeycwP9Qj4/fz9gqt4fv0emtvCZIX9FI4t4stnjWfOaSOGtK9Tb++vozV6Q2zYUcv7W6vZeaCl4/s2i8oZk4o4b8YoTh6T2+n9Nq6ob5UujhmOlyxZ0u3Nsvnz5zNrVt/LuF9wwQVccMEFHV+n2w3T4XgTF4bPeTmVGAeq2nA5Emv9vd7ENZmh/YrT600U+Fz5PKuz8zoecu+99x1XDT+fP0xJvo2WlubjOo9jGS7P19FOhPNSgZDPT1ubguWoflCGYdDQ2Mjq1asJhyPccMP1nYrO7j/0WpwFTB03nXc/reWNjw6yp9bPnlWf8OTr25hzqofZpxQyIs8+6G3be3t/aXGdfbU+PtvXwqflzVQ1Hl66NakyU8fnMuukAk4dm9NxP621tbXzQZIVoO64444+HUgQBpPVYqLApdPkj+LoxxLB0dWnj/xgAPoVpALBKIXZ5uNuRicMf8V5Tqoa/URiiX5O7dqXmgFWr17d8frrrnyW2aTw5dNH8sUpRWzc1ci6LTXsr/Pz5qYq3txURaHbyrTxeUwvy2NskQtlkKuXRGNxDjQE2HUwsRl+b3UbkdjhbFiLSWHyGDenT8xnSmkuVnPyZnrinSZkjGynhaimEwzH+vw7R1efPvKDwuXs+/6TcDiG0yKR1UtGoSAAjMx3crCh5yDVHpyg9wsks0lh9ikeZp/iYX+tj/Wf1rJlbxP13jBrNlWxZlMVFpPM2CIXpcWJf0W5dvKyLMdVpSKuGzS1hqnzhvCFm9lV2UhFnZ+apiD6UTeCPDk2Th2bw2mluZSNzOqUeZhMA7oH9dFHH7Fs2TLa2tpwOByMHTuWX/7yl336XbEPamgMx/OqafLjyMolFAoc+8GHHGtPU28iMQ0TcYrznP0ea38Nx+cLTszzOtjoR+fwct+Rs/l2/W0XE9cN9la3sXlPE5/ubaahtWumnSRBrstCfrYVu0XFZlGwmhXMqoKuG8QNI7GHLxbHF4wl/oVitPij6EdHIkCWoDjPzoQRWUwclc3EkuyBVcAApp88pk+PG9AM6owzzuCMM84YyCEEod+K85wE4waRqNZlrb8nx9rT1JNITEPW4xQXDH5wEoaXknwn1Y1+whGwmJWkLDUrssTEkkSQ+O6XSmkLRNlb46O8uo2KOj/13jAtvghNbYl//ZXjsuBxWynxZJPvUhnjcVJS0LeyYYNBLPEJGWm0JxtvSwvhCFiT3Fa7XSSqoRBnpAhOwnEake+ktilIOKolZan5aFkOM9Mn5DF9wuEEoJim09QWptkXIRSJE4pohKLxjo3qiiwhSxJmk4zLbsJlM+Gym8h2mDsC0WBVkugvEaCEjDUi30ldS5BgKIbdltyNi8FwDJsCRUOwrCcMb0V5dhq8Ib757e9is6odwag9SCU7I8+kyhTl2o9ZOikTiH5QQkbz5NjJscv4AuGk9NkxDANfIIzbJlOUl/lvcCE9FLht5NhlAsHO+z8HO10804kZlJDx3C4rVotKdVMQ1WzqlDnVH9FYnFgkSkm+XaSSC0nndllR1Sg1LSFcDqsITn0gZlDCsGA1q4wrcmFXwB8IEdP6tgseIKbF8QdC2BSDccUuEZyEQeO0mRmdb8cfCBOP68f+hROceCcKw4YkSeS7beRkWWhsDRMIxgAZs1nBpHbOQoppcSLROBg6LqtCsceJkuSeOoLQHYtZZVyRk4MNATRF7XMm6olI/M8Iw44iy3gOtV+PRDV84RjhSATDAANQJLBaFApc1pSlzwonNkWWGeNxUdcSxB+M4uxHdZQTiQhQwrBmMYsrVCF9eXLs2IMRar0hnHZr5w7SgrgHJQiCkEouu4VxhU4i4QiR2PCr+D4QIkAJgiCkmKrKjPE4scgG/mD/K0AMVyJACYIgpAFJkvDk2Cl2m/H7Q2giy08EKEEQhHRit5oZV+TC0GIEQ32v3D8ciQAlCIKQZmRZoqTASZ5Twe8/cfdMiQAlCIKQprIcFsYWOYhrMYLh6LF/YZgRAUoQBCGNKbLMqAIneQ71hJtNiQAlCIKQAdpnU4YW61J0drgSAUoQBCFDKLLMyAInhdkm/P7+1ZzMRCJACYIgZBinLZHppxpxfIFIUlrNpCMRoARBEDKQLEsU5TkoybUQDIWJRIdfFQoRoARBEDKY1WJinMeFXQWfP4yuD5/ZlAhQgiAIGa691cyYQjvRSGTYpKSLACUIgjBMmFSFMR4XufZESnqml0sSAUoQBGGYyXYmUtIlPUYgkLnFZ0WAEgRBGIYUWWZEnpPiHAuBQCgjW3mIACUIgjCM2awmxhW5sCuZl0QhApQgCMIwd3QSRSicGVXSRYASBEE4QbQnUeTYlYxIohABShAE4QTTnkRBPL2TKESAEgRBOAEpsszI/PROohABShAE4QSWzkkUIkAJgiCc4LpUogilRyUKEaAEQRAE4HASRX6WOS2SKESAEgRBEDrJcdkYV+RE1mP4g6lr5yEClCAIgtCFLEsU5zkZ4bYQDKamnYcIUIIgCEKPOpIoUtDOQwQoQRAEoVftSRRjCx3EhrCdhwhQgiAIQp+oqsxoj4s8x9C08xABShAEQeiXLIelI4kiEBi8JAoRoARBEIR+a0+iKM45lEQxCJUoRIASBEEQjttgVqIQAUoQBEEYkMFq56EO5JeXL1/Opk2bUFUVj8fDTTfdhMPhSMrABEEQhMzSXomi1R+hsS2M1WZGVY5/HjSgGdSUKVN44IEHuP/++ykuLubFF18cyOEEQRCEYSBZ7TwGFKCmTp2KoigATJw4kebm5oEcThAEQRgm2tt5FOWYCQRCRGPxfh9DMpKUH3jvvfcye/ZszjnnnG5/vnbtWtauXdvx2Gg0ParltlNVFU1Lv34oAyXOK7OI88os4rz6xjAM6poDtPijuJxWSovdffq9YwaoJUuW4PV6u3x//vz5zJo1C4AXXniBvXv38vOf/xxJkvr0h6urq/v0uKGSn59PY2NjqoeRdOK8Mos4r8wizqt/orE41U1BZs84qU+PP2aSxB133NHrz9etW8emTZv41a9+1efgJAiCIJx4zCaFsUWuPj9+QPegtmzZwurVq7n11luxWCwDOZQgCIIgdDKgNPPHH38cTdNYsmQJAGVlZVx33XVJGZggCIJwYhtQgHrooYeSNQ5BEARB6ERUkhAEQRDSkghQgiAIQloSAUoQBEFISyJACYIgCGlJBChBEAQhLYkAJQiCIKQlEaAEQRCEtJS0YrGCIAiCkExiBnXIbbfdluohDApxXplFnFdmEec1uESAEgRBENKSCFCCIAhCWlIWL168ONWDSBelpaWpHsKgEOeVWcR5ZRZxXoNHJEkIgiAIaUks8QmCIAhpSQQoQRAEIS0NqB/UcPT666/zxhtvoCgKM2bMYOHChakeUtK89NJLrFixgscee4ysrKxUD2fAli9fzqZNm1BVFY/Hw0033YTD4Uj1sI7bli1beOKJJ9B1nfPPP5/LLrss1UMasMbGRh5++GG8Xi+SJHHBBRdw8cUXp3pYSaPrOrfddhu5ublpk5o9UIFAgKVLl3LgwAEkSeLGG29k4sSJKRmLCFBH+Oyzz9i4cSP3338/JpOJ1tbWVA8paRobG9m6dSv5+fmpHkrSTJkyhQULFqAoCitWrODFF1/M2AsKXdd5/PHHuf3228nLy+O///u/mTlzJiUlJake2oAoisKiRYsoLS0lFApx2223MWXKlIw/r3avvfYaI0eOJBQKpXooSfPEE08wbdo0brnlFjRNIxKJpGwsYonvCGvWrGHevHmYTCYAsrOzUzyi5HnyySe58sorkSQp1UNJmqlTp6IoCgATJ06kubk5xSM6fnv27KGoqAiPx4OqqsyePZsNGzakelgDlpOT05ENZrPZGDlyZEY/T0dqamri448/5vzzz0/1UJImGAyyfft2zjvvPABUVU3pqoSYQR2hpqaGHTt28Oyzz2IymVi0aBETJkxI9bAGbOPGjeTm5jJ27NhUD2XQvP3228yePTvVwzhuzc3N5OXldXydl5fH7t27Uzii5Kuvr2ffvn3D4j0F8Ne//pWFCxcOq9lTfX09WVlZPPLII1RUVFBaWsrVV1+N1WpNyXhOuAC1ZMkSvF5vl+/Pnz8fXdfx+/3cfffd7N27lz/+8Y/8+c9/zohZR2/n9eKLL3L77benYFQD19t5zZo1C4AXXngBRVGYO3fuUA8vabrb7ZEJr7u+CofDPPDAA1x99dXY7fZUD2fANm3aRHZ2NqWlpWzbti3Vw0maeDzOvn37uPbaaykrK+OJJ55g1apVzJ8/PyXjOeEC1B133NHjz9asWcOZZ56JJElMmDABWZbx+XwZkVDQ03lVVlZSX1/PL37xCyCxLHHrrbdyzz334Ha7h3KIx6W35wtg3bp1bNq0iV/96lcZ/YGel5dHU1NTx9dNTU3k5OSkcETJo2kaDzzwAHPnzuXMM89M9XCSYufOnWzcuJHNmzcTjUYJhUI8+OCD/OhHP0r10AYkLy+PvLw8ysrKADjrrLNYtWpVysZzwgWo3syaNYvPPvuMU045herqajRNw+VypXpYAzJ69Ggee+yxjq9vvvlm7rnnnowIuseyZcsWVq9ezZ133onFYkn1cAZk/Pjx1NTUUF9fT25uLu+//37Gf9hBYma4dOlSRo4cyde+9rVUDydpFixYwIIFCwDYtm0bL7/88rB4vtxuN3l5eVRXVzNixAi2bt2a0oQWEaCOcN555/HII49wyy23oKoqN998c0ZflQ93jz/+OJqmsWTJEgDKysq47rrrUjyq46MoCtdeey133303uq5z7rnnMmrUqFQPa8B27tzJ+vXrGT16dMcs/oorrmDGjBkpHpnQk2uvvZYHH3wQTdMoLCzkpptuStlYRKkjQRAEIS2JNHNBEAQhLYkAJQiCIKQlEaAEQRCEtCQClCAIgpCWRIASBEEQ0pIIUIIgCEJaEgFKEARBSEv/H7rviVnriw6rAAAAAElFTkSuQmCC\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "for ii in range(len(param_name)):\n", | |
| " gpmodel2_save[param_name[ii]] = np.mean(sample, axis=0)[ii]\n", | |
| "gpmodel2_save.plot()\n", | |
| "plt.plot(X_new, np.sin(X_new), color=\"r\", linestyle=\"dotted\", alpha=0.7, linewidth=2)\n", | |
| "plt.tight_layout()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "- MCMCにより修正された!" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 28, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<style type=\"text/css\">\n", | |
| ".pd{\n", | |
| " font-family: \"Courier New\", Courier, monospace !important;\n", | |
| " width: 100%;\n", | |
| " padding: 3px;\n", | |
| "}\n", | |
| "</style>\n", | |
| "\n", | |
| "<p class=pd>\n", | |
| "<b>Model</b>: GP regression<br>\n", | |
| "<b>Objective</b>: 3.3486326204685604<br>\n", | |
| "<b>Number of Parameters</b>: 4<br>\n", | |
| "<b>Number of Optimization Parameters</b>: 4<br>\n", | |
| "<b>Updates</b>: True<br>\n", | |
| "</p>\n", | |
| "<style type=\"text/css\">\n", | |
| ".tg {font-family:\"Courier New\", Courier, monospace !important;padding:2px 3px;word-break:normal;border-collapse:collapse;border-spacing:0;border-color:#DCDCDC;margin:0px auto;width:100%;}\n", | |
| ".tg td{font-family:\"Courier New\", Courier, monospace !important;font-weight:bold;color:#444;background-color:#F7FDFA;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n", | |
| ".tg th{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;color:#fff;background-color:#26ADE4;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n", | |
| ".tg .tg-left{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:left;}\n", | |
| ".tg .tg-center{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:center;}\n", | |
| ".tg .tg-right{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:right;}\n", | |
| "</style>\n", | |
| "<table class=\"tg\"><tr><th><b> GP_regression. </b></th><th><b> value</b></th><th><b>constraints</b></th><th><b>priors</b></th></tr>\n", | |
| "<tr><td class=tg-left> mlp.variance </td><td class=tg-right> 1101.2029607358568</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "<tr><td class=tg-left> mlp.weight_variance </td><td class=tg-right> 0.17356309585415938</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "<tr><td class=tg-left> mlp.bias_variance </td><td class=tg-right>1.2953297967270649e-154</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "<tr><td class=tg-left> Gaussian_noise.variance</td><td class=tg-right> 0.03295987389854089</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n", | |
| "</table>" | |
| ], | |
| "text/plain": [ | |
| "<GPy.models.gp_regression.GPRegression at 0x1a25fbb668>" | |
| ] | |
| }, | |
| "execution_count": 28, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "gpmodel2_save" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "- Gaussian_noise.varianceがかなり小さくなってくれた。" | |
| ] | |
| }, | |
| { | |
| "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": "3.6.8" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 2 | |
| } |
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これは,Student-t過程回帰(TPR)の方に観測ノイズが入ってないからですね.
カーネル関数にディラックカーネルと定数カーネルとの積カーネルと,何かしらの不変カーネル(RBF等)の加法カーネルを作って,それを TPR に適用すれば,ここで見られている過剰反応のような挙動が無くなると思います.