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June 27, 2023 02:54
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model_collapse_gaussian_mixture.ipynb
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{ | |
"nbformat": 4, | |
"nbformat_minor": 0, | |
"metadata": { | |
"colab": { | |
"provenance": [], | |
"authorship_tag": "ABX9TyOl/jPyoeLsh8caaZryXisf", | |
"include_colab_link": true | |
}, | |
"kernelspec": { | |
"name": "python3", | |
"display_name": "Python 3" | |
}, | |
"language_info": { | |
"name": "python" | |
} | |
}, | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "view-in-github", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"<a href=\"https://colab.research.google.com/gist/yng87/b69d8e93f73c42c84d84d1b7840326d7/model_collapse_gaussian_mixture.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"id": "ICXwBl1cLdZF" | |
}, | |
"outputs": [], | |
"source": [ | |
"from collections import namedtuple\n", | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"from sklearn.mixture import GaussianMixture\n", | |
"from tqdm import tqdm" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"GaussianMixtureParams = namedtuple('GaussianMixtureParams', ('mus', 'sigmas', 'mixture_ratio'))" | |
], | |
"metadata": { | |
"id": "mLPJZBBaTAlO" | |
}, | |
"execution_count": 2, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"def sample_from_gaussian_mixture(gm_params, num_samples):\n", | |
" mus = np.array(gm_params.mus)\n", | |
" sigmas = np.array(gm_params.sigmas)\n", | |
"\n", | |
" num_mixture = len(gm_params.mixture_ratio)\n", | |
" mixture_idx = np.random.choice(num_mixture, size=num_samples, p=gm_params.mixture_ratio)\n", | |
" standard_normal_noises = np.random.normal(size=num_samples)\n", | |
" samples = mus[mixture_idx] + standard_normal_noises * sigmas[mixture_idx]\n", | |
"\n", | |
" return samples" | |
], | |
"metadata": { | |
"id": "Geac0o9yLqv0" | |
}, | |
"execution_count": 3, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"def fit_gaussian_mixture(samples, n_components, random_state=0):\n", | |
" gm = GaussianMixture(n_components=n_components, random_state=random_state).fit(samples.reshape(-1,1))\n", | |
"\n", | |
" mus = gm.means_.reshape(-1)\n", | |
" sorted_idx = np.argsort(mus)\n", | |
"\n", | |
" gm_params = GaussianMixtureParams(\n", | |
" gm.means_.reshape(-1)[sorted_idx],\n", | |
" np.sqrt(gm.covariances_).reshape(-1)[sorted_idx],\n", | |
" gm.weights_[sorted_idx]\n", | |
" )\n", | |
"\n", | |
" return gm_params" | |
], | |
"metadata": { | |
"id": "HHoNRlrCOSP_" | |
}, | |
"execution_count": 4, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"def sample_next_gen(gm_params_org, gm_params_fitted, samples_current_gen, ratio_org, ratio_fitted, num_samples):\n", | |
" # オリジナルの分布、フィットされた分布、最新のサンプルからのサンプリングを使う\n", | |
" num_samples_org = int(num_samples * ratio_org)\n", | |
" num_samples_fitted = int(num_samples * ratio_fitted)\n", | |
" num_samples_current = num_samples - num_samples_org - num_samples_fitted\n", | |
" if num_samples_current < 0:\n", | |
" raise ValueError(\"Invalid ratio\")\n", | |
"\n", | |
" samples_org = sample_from_gaussian_mixture(gm_params_org, num_samples_org)\n", | |
" samples_fitted = sample_from_gaussian_mixture(gm_params_fitted, num_samples_fitted)\n", | |
" samples_current = np.random.choice(samples_current_gen, size=num_samples_current, replace=False)\n", | |
"\n", | |
" return np.concatenate([samples_org, samples_fitted, samples_current])" | |
], | |
"metadata": { | |
"id": "mbGDYQW5PqPr" | |
}, | |
"execution_count": 5, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"num_samples = 10000\n", | |
"num_gen = 2000\n", | |
"\n", | |
"gm_params_org = GaussianMixtureParams([-2,2], [1, 1], [0.5, 0.5])\n", | |
"samples = sample_from_gaussian_mixture(gm_params_org, num_samples)\n", | |
"\n", | |
"gm_params_list = [gm_params_org]\n", | |
"samples_list = [samples]\n", | |
"\n", | |
"for _ in tqdm(range(num_gen)):\n", | |
" gm_params_fitted = fit_gaussian_mixture(samples, 2)\n", | |
" samples = sample_next_gen(gm_params_org, gm_params_fitted, samples, 0.0, 1.0, num_samples)\n", | |
"\n", | |
" gm_params_list.append(gm_params_fitted)\n", | |
" samples_list.append(samples)" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "DUdINTobSuAt", | |
"outputId": "3face185-e24e-46d0-a6f2-964b39038b14" | |
}, | |
"execution_count": 6, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"100%|██████████| 2000/2000 [02:32<00:00, 13.14it/s]\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"gm_params_list[0], gm_params_list[-1]" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "rkndX_tXUjQ0", | |
"outputId": "a05a6cf9-ae66-4d62-ea7b-656efd76acea" | |
}, | |
"execution_count": 7, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"(GaussianMixtureParams(mus=[-2, 2], sigmas=[1, 1], mixture_ratio=[0.5, 0.5]),\n", | |
" GaussianMixtureParams(mus=array([-1.50892524, 2.08746288]), sigmas=array([0.4119342 , 0.50519714]), mixture_ratio=array([0.64312072, 0.35687928])))" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 7 | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"plt.plot([p.mus[0] for p in gm_params_list], label='mu0', ls='-')\n", | |
"plt.plot([p.mus[1] for p in gm_params_list], label='mu1', ls='-')\n", | |
"plt.legend()" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 448 | |
}, | |
"id": "g27SDSFgc2FW", | |
"outputId": "8e3b72e9-b563-4024-9e85-771456153901" | |
}, | |
"execution_count": 8, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x7fea831cbca0>" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 8 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"plt.plot([p.sigmas[0] for p in gm_params_list], label='sigma0', ls='-')\n", | |
"plt.plot([p.sigmas[1] for p in gm_params_list], label='sigma1', ls='-')\n", | |
"plt.legend()" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 449 | |
}, | |
"id": "gXlUhQacVCJX", | |
"outputId": "21446b3c-52af-45b0-fd87-1de738fae2af" | |
}, | |
"execution_count": 9, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x7fea830aa4a0>" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 9 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"plt.plot([p.mixture_ratio[0] for p in gm_params_list], label='mixture_ratio0', ls='-')\n", | |
"plt.plot([p.mixture_ratio[1] for p in gm_params_list], label='mixture_ratio1', ls='-')\n", | |
"plt.legend()" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 448 | |
}, | |
"id": "oyuCjs9iwQOM", | |
"outputId": "1e99119f-2abf-4c16-a476-a4f64d41d05c" | |
}, | |
"execution_count": 10, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x7fea82f92830>" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 10 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"plt.hist(samples_list[0], bins=40, alpha=0.5, label=\"initial\")\n", | |
"plt.hist(samples_list[-1], bins=40, alpha=0.5, label=\"after 2000 steps\")\n", | |
"plt.legend()" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 448 | |
}, | |
"id": "foFtOjL2XvIY", | |
"outputId": "b93419c9-2425-47c6-d553-172dc6409852" | |
}, | |
"execution_count": 11, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x7fea83126d70>" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 11 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [], | |
"metadata": { | |
"id": "3dXd_aTzX4_C" | |
}, | |
"execution_count": 11, | |
"outputs": [] | |
} | |
] | |
} |
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