From 85bc7f9be69a9648a80e60788d765ad222aea798 Mon Sep 17 00:00:00 2001 From: James Date: Sun, 23 Jan 2022 20:21:43 +0000 Subject: [PATCH] Adding the windowed PCA applied to gaussian random data --- ...uni_maryland_fb_covid19_windowed_PCA.ipynb | 314 ++++++++++++++++++ 1 file changed, 314 insertions(+) diff --git a/covid19/uni_maryland_fb_covid19_windowed_PCA.ipynb b/covid19/uni_maryland_fb_covid19_windowed_PCA.ipynb index aa6b2c3..30e4ebf 100644 --- a/covid19/uni_maryland_fb_covid19_windowed_PCA.ipynb +++ b/covid19/uni_maryland_fb_covid19_windowed_PCA.ipynb @@ -895,6 +895,320 @@ "print(f\"time elapsed: {time.time()-start} seconds\")" ] }, + { + "cell_type": "code", + "execution_count": 137, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
feat_0feat_1feat_2feat_3feat_4feat_5feat_6feat_7feat_8feat_9...feat_56feat_57feat_58feat_59feat_60feat_61feat_62feat_63feat_64feat_65
00.6079701.973006-0.584729-0.306673-0.7320000.9685321.185900-1.497914-1.186765-0.898712...0.2375700.4239490.0488280.8582560.347837-0.032485-0.5696840.363079-0.621208-0.467781
1-0.5557240.5675680.3182481.266914-3.469426-1.642858-0.398362-0.142489-1.533189-0.196776...-1.3629281.869612-0.3009960.0714740.527987-0.7378350.0305443.0158520.993087-0.067536
2-0.619340-0.9761910.576521-0.619316-0.072111-0.837100-0.414019-0.028701-0.6052961.424502...-0.5815910.562998-0.179906-0.1408700.682107-1.2328310.225519-0.7883771.165745-0.659170
3-0.077220-1.7353910.234120-0.6458020.4101660.727649-0.317359-0.2630820.321844-0.990930...1.617682-1.1909320.0980230.425726-0.851748-1.1340100.646297-2.0040890.4608680.385467
40.616478-0.6235731.5013360.635861-0.2310830.669580-1.104844-1.7544401.2106930.642050...0.385674-0.648049-0.1680101.1734640.2890200.5386130.940948-1.0862790.1415870.714852
\n", + "

5 rows × 66 columns

\n", + "
" + ], + "text/plain": [ + " feat_0 feat_1 feat_2 feat_3 feat_4 feat_5 feat_6 \\\n", + "0 0.607970 1.973006 -0.584729 -0.306673 -0.732000 0.968532 1.185900 \n", + "1 -0.555724 0.567568 0.318248 1.266914 -3.469426 -1.642858 -0.398362 \n", + "2 -0.619340 -0.976191 0.576521 -0.619316 -0.072111 -0.837100 -0.414019 \n", + "3 -0.077220 -1.735391 0.234120 -0.645802 0.410166 0.727649 -0.317359 \n", + "4 0.616478 -0.623573 1.501336 0.635861 -0.231083 0.669580 -1.104844 \n", + "\n", + " feat_7 feat_8 feat_9 ... feat_56 feat_57 feat_58 feat_59 \\\n", + "0 -1.497914 -1.186765 -0.898712 ... 0.237570 0.423949 0.048828 0.858256 \n", + "1 -0.142489 -1.533189 -0.196776 ... -1.362928 1.869612 -0.300996 0.071474 \n", + "2 -0.028701 -0.605296 1.424502 ... -0.581591 0.562998 -0.179906 -0.140870 \n", + "3 -0.263082 0.321844 -0.990930 ... 1.617682 -1.190932 0.098023 0.425726 \n", + "4 -1.754440 1.210693 0.642050 ... 0.385674 -0.648049 -0.168010 1.173464 \n", + "\n", + " feat_60 feat_61 feat_62 feat_63 feat_64 feat_65 \n", + "0 0.347837 -0.032485 -0.569684 0.363079 -0.621208 -0.467781 \n", + "1 0.527987 -0.737835 0.030544 3.015852 0.993087 -0.067536 \n", + "2 0.682107 -1.232831 0.225519 -0.788377 1.165745 -0.659170 \n", + "3 -0.851748 -1.134010 0.646297 -2.004089 0.460868 0.385467 \n", + "4 0.289020 0.538613 0.940948 -1.086279 0.141587 0.714852 \n", + "\n", + "[5 rows x 66 columns]" + ] + }, + "execution_count": 137, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rand_df = pd.concat([pd.Series(np.random.normal(size=df.shape[0]), name=f\"feat_{x}\") for x in range(0, df.shape[1])], axis=1)\n", + "rand_df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 143, + "metadata": {}, + "outputs": [], + "source": [ + "pca_df = window_PCA(x=rand_df, window_size=window)" + ] + }, + { + "cell_type": "code", + "execution_count": 144, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
windowed_PCA
06.207433
16.082589
25.976907
35.947471
46.008262
\n", + "
" + ], + "text/plain": [ + " windowed_PCA\n", + "0 6.207433\n", + "1 6.082589\n", + "2 5.976907\n", + "3 5.947471\n", + "4 6.008262" + ] + }, + "execution_count": 144, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pca_df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 145, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "_ = plt.figure(figsize=(15, 5))\n", + "_ = sns.lineplot(data=pca_df.reset_index(), x=\"index\", y=\"windowed_PCA\", legend=True)\n", + "_ = plt.title(\"Windowed PCA: random data\")\n", + "_ = plt.ylabel(\"Explained Variance of\\nfirst principal component\")" + ] + }, { "cell_type": "code", "execution_count": null,