diff --git a/naive_bayes.ipynb b/naive_bayes.ipynb index 4a67598..fb5ceff 100644 --- a/naive_bayes.ipynb +++ b/naive_bayes.ipynb @@ -656,6 +656,72 @@ "\n", "plt.show()" ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.decomposition import PCA\n", + "\n", + "pca = PCA(n_components=2)\n", + "pca.fit(X_test)\n", + "X_pca = pca.transform(X_test)\n", + "\n", + "plt.scatter(X_pca[:, 0], X_pca[:, 1], c=predictions, s=50, cmap='viridis')" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(X_pca[:, 0], X_pca[:, 1], c=y_test, s=50, cmap='viridis')" + ] } ], "metadata": {