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[PFN Internship Coding Tasks の 2022 版 Task4](https://github.com/pfnet/intern-coding-tasks/tree/main/2022/coding-tasks/task4) をお試し
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"id": "f858717e-1259-4cb4-b8ef-6cb7717b5b77", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import matplotlib.pyplot as plt\n", | |
"plt.rcParams['font.family'] = \"MS Gothic\"\n", | |
"import numpy as np\n", | |
"import arviz as az\n", | |
"plt.style.use('arviz-darkgrid')\n", | |
"import pymc as pm\n", | |
"import pandas as pd" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"id": "c3b73105-9b2a-400f-9f38-0ab893a1dd41", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# observed = [73, 78, 91, 78, 27, 92, 79, 93, 85, 89]\n", | |
"observed = [87, 98, 48, 58, 59, 97, 43, 100, 96, 73]" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"id": "c2a2f244-3d71-41b3-a1ed-b4d7e7accd54", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def max_dice_pmf(value, n_dice):\n", | |
" # n_dice 個の 100 面サイコロを同時に振り、最大値 value を選ぶ確率\n", | |
" # = n_dice 個の 100 面サイコロが全て最大値 value 以下になる確率 - n_dice 個の 100 面サイコロが全て最大値 value 未満になる確率\n", | |
" return (value / 100) ** n_dice - ((value - 1) / 100) ** n_dice" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"id": "e0da6fb3-0908-45b1-9305-d9a2700d8aeb", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 720x432 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# max_dice_pmf が採り得る値のイメージ\n", | |
"value = np.linspace(1, 100, 100)\n", | |
"n_dice = np.arange(1, 6)\n", | |
"\n", | |
"plt.figure(figsize=(10, 6))\n", | |
"\n", | |
"for n in n_dice:\n", | |
" plt.plot(value, max_dice_pmf(value, n), label=f'n_dice={n}')\n", | |
"\n", | |
"plt.xlabel('value')\n", | |
"plt.ylabel('max_dice_pmf(value, n_dice)')\n", | |
"plt.legend()\n", | |
"plt.grid(True)\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"id": "1525cb5a-35d5-4471-a9b4-4ee7c2ff42d4", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 720x432 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# max_dice_pmf が採り得る値のイメージのテスト\n", | |
"# 「n_dice 個の 100 面サイコロを同時に振り、最大値 value を選ぶ」をシミュレーションしてみる\n", | |
"n_faces = 100\n", | |
"n_rolls = 10000\n", | |
"n_dice_range = range(1, 6)\n", | |
"\n", | |
"plt.figure(figsize=(10, 6))\n", | |
"\n", | |
"for n_dice in n_dice_range:\n", | |
" max_values = np.array([max(np.random.randint(1, n_faces+1, n_dice)) for _ in range(n_rolls)])\n", | |
" plt.hist(max_values, bins=n_faces, density=True, alpha=0.5, label=f'{n_dice} dice')\n", | |
"\n", | |
"plt.xlabel('Max Value')\n", | |
"plt.ylabel('Probability Density of Max Value')\n", | |
"plt.legend()\n", | |
"plt.grid(True)\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"id": "9274aa47-b812-4d80-83a9-ecddc4f9d9a7", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"with pm.Model() as model:\n", | |
" n_dice = pm.DiscreteUniform('n_dice', lower=1, upper=5)\n", | |
" likelihood = pm.CustomDist('likelihood', n_dice, logp=max_dice_pmf, observed=observed)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"id": "5ef608bd-44cb-41d3-86e7-564d4d22394b", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/svg+xml": [ | |
"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n", | |
"<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n", | |
" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n", | |
"<!-- Generated by graphviz version 5.0.0 (0)\n", | |
" -->\n", | |
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"<g id=\"clust1\" class=\"cluster\">\n", | |
"<title>cluster10</title>\n", | |
"<path fill=\"none\" stroke=\"black\" d=\"M20,-8C20,-8 240,-8 240,-8 246,-8 252,-14 252,-20 252,-20 252,-109.95 252,-109.95 252,-115.95 246,-121.95 240,-121.95 240,-121.95 20,-121.95 20,-121.95 14,-121.95 8,-115.95 8,-109.95 8,-109.95 8,-20 8,-20 8,-14 14,-8 20,-8\"/>\n", | |
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"</g>\n", | |
"<!-- n_dice -->\n", | |
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"<title>n_dice</title>\n", | |
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"<text text-anchor=\"middle\" x=\"130\" y=\"-198.73\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">n_dice</text>\n", | |
"<text text-anchor=\"middle\" x=\"130\" y=\"-183.73\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">~</text>\n", | |
"<text text-anchor=\"middle\" x=\"130\" y=\"-168.73\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">DiscreteUniform</text>\n", | |
"</g>\n", | |
"<!-- likelihood -->\n", | |
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"<title>likelihood</title>\n", | |
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"<text text-anchor=\"middle\" x=\"130\" y=\"-87.78\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">likelihood</text>\n", | |
"<text text-anchor=\"middle\" x=\"130\" y=\"-72.78\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">~</text>\n", | |
"<text text-anchor=\"middle\" x=\"130\" y=\"-57.78\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">CustomDistRV_likelihood</text>\n", | |
"</g>\n", | |
"<!-- n_dice->likelihood -->\n", | |
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"<title>n_dice->likelihood</title>\n", | |
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"</svg>\n" | |
], | |
"text/plain": [ | |
"<graphviz.graphs.Digraph at 0x1f3fa858a60>" | |
] | |
}, | |
"execution_count": 7, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"pm.model_to_graphviz(model)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"id": "c470b7a3-c962-474f-aada-ebc206b4a4b0", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"Multiprocess sampling (2 chains in 2 jobs)\n", | |
"Metropolis: [n_dice]\n" | |
] | |
}, | |
{ | |
"data": { | |
"text/html": [ | |
"\n", | |
"<style>\n", | |
" /* Turns off some styling */\n", | |
" progress {\n", | |
" /* gets rid of default border in Firefox and Opera. */\n", | |
" border: none;\n", | |
" /* Needs to be in here for Safari polyfill so background images work as expected. */\n", | |
" background-size: auto;\n", | |
" }\n", | |
" .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n", | |
" background: #F44336;\n", | |
" }\n", | |
"</style>\n" | |
], | |
"text/plain": [ | |
"<IPython.core.display.HTML object>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"text/html": [ | |
"\n", | |
" <div>\n", | |
" <progress value='4000' class='' max='4000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n", | |
" 100.00% [4000/4000 00:02<00:00 Sampling 2 chains, 0 divergences]\n", | |
" </div>\n", | |
" " | |
], | |
"text/plain": [ | |
"<IPython.core.display.HTML object>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"Sampling 2 chains for 1_000 tune and 1_000 draw iterations (2_000 + 2_000 draws total) took 16 seconds.\n" | |
] | |
} | |
], | |
"source": [ | |
"with model:\n", | |
" trace = pm.sample()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"id": "a54bc6ea-4cdf-4f18-9abf-9f7f585f23af", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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\n", | |
"text/plain": [ | |
"<Figure size 864x144 with 2 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"az.plot_trace(trace)\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"id": "e4e8ff20-e388-4a25-aacc-731cdb04dfea", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
"<div>\n", | |
"<style scoped>\n", | |
" .dataframe tbody tr th:only-of-type {\n", | |
" vertical-align: middle;\n", | |
" }\n", | |
"\n", | |
" .dataframe tbody tr th {\n", | |
" vertical-align: top;\n", | |
" }\n", | |
"\n", | |
" .dataframe thead th {\n", | |
" text-align: right;\n", | |
" }\n", | |
"</style>\n", | |
"<table border=\"1\" class=\"dataframe\">\n", | |
" <thead>\n", | |
" <tr style=\"text-align: right;\">\n", | |
" <th></th>\n", | |
" <th>mean</th>\n", | |
" <th>sd</th>\n", | |
" <th>hdi_3%</th>\n", | |
" <th>hdi_97%</th>\n", | |
" <th>mcse_mean</th>\n", | |
" <th>mcse_sd</th>\n", | |
" <th>ess_bulk</th>\n", | |
" <th>ess_tail</th>\n", | |
" <th>r_hat</th>\n", | |
" </tr>\n", | |
" </thead>\n", | |
" <tbody>\n", | |
" <tr>\n", | |
" <th>n_dice</th>\n", | |
" <td>3.087</td>\n", | |
" <td>1.441</td>\n", | |
" <td>1.0</td>\n", | |
" <td>5.0</td>\n", | |
" <td>0.061</td>\n", | |
" <td>0.043</td>\n", | |
" <td>559.0</td>\n", | |
" <td>641.0</td>\n", | |
" <td>1.01</td>\n", | |
" </tr>\n", | |
" </tbody>\n", | |
"</table>\n", | |
"</div>" | |
], | |
"text/plain": [ | |
" mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk ess_tail \\\n", | |
"n_dice 3.087 1.441 1.0 5.0 0.061 0.043 559.0 641.0 \n", | |
"\n", | |
" r_hat \n", | |
"n_dice 1.01 " | |
] | |
}, | |
"execution_count": 10, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"az.summary(trace)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"id": "e73bc9a0-57c7-4fc4-b134-0fe4eee2555e", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"az.plot_posterior(trace)\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"id": "0db7088d-30e5-4402-a5c7-0e7cba773892", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"予想結果: 5 個\n" | |
] | |
} | |
], | |
"source": [ | |
"df_n_dice_pred = pd.DataFrame(az.extract(trace, group=\"posterior\")[\"n_dice\"].to_numpy(), columns=['n_dice'])\n", | |
"n_dice_pred = df_n_dice_pred['n_dice'].value_counts().sort_index()\n", | |
"print(f\"予想結果: {n_dice_pred.idxmax()} 個\")" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "1b29a9cf-2308-49a4-8aeb-e838e7c8722c", | |
"metadata": {}, | |
"source": [ | |
"HDI が「1 から 5」みたいな結果になっている通り、ここまでは問題文にある\n", | |
"> この問題では想定したアルゴリズムであっても必ずしも満点を取れません。\n", | |
"> \n", | |
"\n", | |
"を証明しただけになってる・・😭" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3 (ipykernel)", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.10.4" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 5 | |
} |
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