diff --git a/.gitignore b/.gitignore index 82dc1b3..c5f40fa 100644 --- a/.gitignore +++ b/.gitignore @@ -3,3 +3,4 @@ *.tar.gz *.pth __pycache__ +fig-res diff --git a/3_kmeans/1-k-means.ipynb b/3_kmeans/1-k-means.ipynb index af069f2..993f8a5 100644 --- a/3_kmeans/1-k-means.ipynb +++ b/3_kmeans/1-k-means.ipynb @@ -249,14 +249,14 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 9, "metadata": {}, "outputs": [ { "data": { - "image/png": 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gPeAPskYpVgL3W2vT/naelpQVkWLl22+/Zfny5dSuXZshQ4YQEhIS6JCKpMt6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\nUI6kpBASEgJkLa3bu3t3Evb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Iz6dOJbp0aZ4cNeq0IwszZ87kfzNnUrFyZR58+GEqVap0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\n", 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DAdM0E27BndihzUaury9SKlSwiYiIFEA+OwjxTk1zRzOD0UGiv0t+Hmsqtx2y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\nzsWKcceLW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19n5+auW/vfimIyviJgA1qgHVUNEa7yOrlkckxBkJEqan4FQUbJ5FjT6+QA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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -285,15 +285,19 @@ "\n", "# 画出数据\n", "plt.figure(figsize=(15, 9))\n", - "plt.scatter(X[:, 0], X[:, 1], c=y)\n", - "plt.colorbar()\n", - "plt.savefig(\"k-means_data.pdf\")\n", + "\n", + "marksamples = ['or', 'ob', 'og', 'ok', '^r', '^b', '" + "" ] }, "metadata": {}, @@ -433,7 +429,7 @@ "data": { "image/png": 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/H6dxGjpf03+qP26lsfT6pWz+zGYGpg4Yh+8xgtVQvRr05IXez0j7RWJVjY1G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\nGB7eSV2fd524E/WVuE+y7hN4UBGtTmhCNn6d5H0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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -464,7 +460,7 @@ " c = ['yellow', 'pink', 'red']\n", " for i in range(k):\n", " plt.plot(centroids[i, 0], centroids[i, 1], markcentroids[i], markersize=15, label=label[i], c=c[i])\n", - " plt.legend(loc='upper left') #图例\n", + " #plt.legend(loc='upper left') #图例\n", " plt.xlabel('feature 1')\n", " plt.ylabel('feature 2')\n", "\n", @@ -496,8 +492,8 @@ " # label=labels.iat[i,0]\n", " \n", "# 绘图显示\n", - "datashow(X, k, mycentroids, clusterAssment, \"k-means_predict.pdf\")\n", - "trgartshow(X, 3, y, \"k-means_groundtruth.pdf\")" + "datashow(X, k, mycentroids, clusterAssment, \"fig-res/k-means_predict.pdf\")\n", + "trgartshow(X, 3, y, \"fig-res/k-means_groundtruth.pdf\")" ] }, { @@ -802,7 +798,7 @@ "plt.plot(clusters,sc_scores,'*-') #绘制类簇数量与对应轮廓系数关系\n", "plt.xlabel('Number of Clusters')\n", "plt.ylabel('Silhouette Coefficient Score')\n", - "plt.savefig('k-means_silhouette_coef.pdf')\n", + "plt.savefig('fig-res/k-means_silhouette_coef.pdf')\n", "plt.show() " ] }, diff --git a/3_kmeans/k-means_data.pdf b/3_kmeans/k-means_data.pdf deleted file mode 100644 index ca8445c..0000000 Binary files a/3_kmeans/k-means_data.pdf and /dev/null differ diff --git a/3_kmeans/k-means_groundtruth.pdf b/3_kmeans/k-means_groundtruth.pdf deleted file mode 100644 index 9a00233..0000000 Binary files a/3_kmeans/k-means_groundtruth.pdf and /dev/null differ diff --git a/3_kmeans/k-means_predict.pdf b/3_kmeans/k-means_predict.pdf deleted file mode 100644 index ec081d3..0000000 Binary files a/3_kmeans/k-means_predict.pdf and /dev/null differ diff --git a/3_kmeans/k-means_silhouette_coef.pdf b/3_kmeans/k-means_silhouette_coef.pdf deleted file mode 100644 index d9dd267..0000000 Binary files a/3_kmeans/k-means_silhouette_coef.pdf and /dev/null differ