_K means clustering.ipynb

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(k$)'])\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":369},"id":"YCb49d-3Hd4L","executionInfo":{"status":"ok","timestamp":1654620630899,"user_tz":-330,"elapsed":692,"user":{"displayName":"Pradeep Singh","userId":"07531335629612431081"}},"outputId":"5d6f482a-c702-4e72-a76b-60e13a56d762"},"execution_count":4,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 360x360 with 1 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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":["sns.displot(df['Spending Score (1-100)'])\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":369},"id":"RfP7vDelIDBr","executionInfo":{"status":"ok","timestamp":1654620630900,"user_tz":-330,"elapsed":9,"user":{"displayName":"Pradeep Singh","userId":"07531335629612431081"}},"outputId":"461096a1-ba58-4e27-fdc1-96db8d0367bd"},"execution_count":5,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 360x360 with 1 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":["plt.scatter(df['Annual Income (k$)'],df['Spending Score (1-100)'])\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":265},"id":"jq1_M0s_MwBF","executionInfo":{"status":"ok","timestamp":1654620631387,"user_tz":-330,"elapsed":494,"user":{"displayName":"Pradeep Singh","userId":"07531335629612431081"}},"outputId":"3b9f87a2-022a-45b2-a0b7-9067b87f5b10"},"execution_count":6,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 432x288 with 1 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":["# Consider the value of x\n","\n","x = df[['Annual Income (k$)','Spending Score (1-100)']].values"],"metadata":{"id":"gRS0-SgKRS6N","executionInfo":{"status":"ok","timestamp":1654620631388,"user_tz":-330,"elapsed":6,"user":{"displayName":"Pradeep Singh","userId":"07531335629612431081"}}},"execution_count":7,"outputs":[]},{"cell_type":"code","source":["from sklearn.cluster import KMeans\n","\n","sse = []\n","for i in range(2,15):\n","  kmeans = KMeans(n_clusters=i, random_state=0).fit(x)\n","  sse.append(kmeans.inertia_)\n","\n","plt.plot(range(2,15),sse)\n","plt.scatter(range(2,15),sse)\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":265},"id":"u7oT-pgeQGM9","executionInfo":{"status":"ok","timestamp":1654620633061,"user_tz":-330,"elapsed":1678,"user":{"displayName":"Pradeep Singh","userId":"07531335629612431081"}},"outputId":"cf59956d-5c50-478f-e5a7-946f57ca2d6a"},"execution_count":8,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 432x288 with 1 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":["kmeans = KMeans(n_clusters=5, random_state=0).fit(x)\n","y = kmeans.predict(x)\n","y"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"3ADmbPnwSFL0","executionInfo":{"status":"ok","timestamp":1654620633062,"user_tz":-330,"elapsed":16,"user":{"displayName":"Pradeep Singh","userId":"07531335629612431081"}},"outputId":"14850d87-e8da-4495-bb3c-ab9f15ce0ad4"},"execution_count":9,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3,\n","       4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 1,\n","       4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n","       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n","       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n","       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2,\n","       1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2,\n","       0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2,\n","       0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2,\n","       0, 2], dtype=int32)"]},"metadata":{},"execution_count":9}]},{"cell_type":"code","source":["x[y==0,0] # Cluster Group No. , Column No."],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"nthLyTvWTZyG","executionInfo":{"status":"ok","timestamp":1654620633063,"user_tz":-330,"elapsed":14,"user":{"displayName":"Pradeep Singh","userId":"07531335629612431081"}},"outputId":"21544475-f88c-4770-9060-447b37819b13"},"execution_count":10,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([ 70,  71,  71,  73,  73,  74,  75,  77,  77,  78,  78,  78,  78,\n","        78,  78,  79,  81,  85,  86,  87,  87,  87,  88,  88,  93,  97,\n","        98,  99, 101, 103, 103, 113, 120, 126, 137])"]},"metadata":{},"execution_count":10}]},{"cell_type":"code","source":["import numpy as np\n","np.unique(y,return_counts=True)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"W1jwIEJWT4WC","executionInfo":{"status":"ok","timestamp":1654620633064,"user_tz":-330,"elapsed":12,"user":{"displayName":"Pradeep Singh","userId":"07531335629612431081"}},"outputId":"b7d341d3-25b7-49bd-895e-eb9df6c28bd3"},"execution_count":11,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(array([0, 1, 2, 3, 4], dtype=int32), array([35, 81, 39, 22, 23]))"]},"metadata":{},"execution_count":11}]},{"cell_type":"code","source":["for i in range(5) :\n","  plt.scatter(x[y==i,0],x[y==i,1])\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":265},"id":"2lPhgZ5kT9Jr","executionInfo":{"status":"ok","timestamp":1654620633065,"user_tz":-330,"elapsed":11,"user":{"displayName":"Pradeep Singh","userId":"07531335629612431081"}},"outputId":"e4b44a6e-f4b6-490c-ad2b-55d4bf722cb3"},"execution_count":12,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 432x288 with 1 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":["# Evaluation of Clustering"],"metadata":{"id":"ZupSNrSSUqNP","executionInfo":{"status":"ok","timestamp":1654620637427,"user_tz":-330,"elapsed":682,"user":{"displayName":"Pradeep Singh","userId":"07531335629612431081"}}},"execution_count":14,"outputs":[]},{"cell_type":"code","source":["# Silhouette score\n","\n","from sklearn.metrics import silhouette_score\n","silhouette_score(x,y)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"aq8HxRMfE0OS","executionInfo":{"status":"ok","timestamp":1654620998473,"user_tz":-330,"elapsed":5,"user":{"displayName":"Pradeep Singh","userId":"07531335629612431081"}},"outputId":"33a28aa2-cab2-45f3-8cd1-38fd0a129451"},"execution_count":15,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0.553931997444648"]},"metadata":{},"execution_count":15}]},{"cell_type":"code","source":["s_list = []\n","for i in range(2,15):\n","  kmeans = KMeans(n_clusters=i, random_state=0).fit(x)\n","  y = kmeans.predict(x)\n","  s_list.append(silhouette_score(x,y))\n","\n","plt.bar(range(2,15),s_list)\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":265},"id":"C71YpXvwGMXa","executionInfo":{"status":"ok","timestamp":1654621483142,"user_tz":-330,"elapsed":2074,"user":{"displayName":"Pradeep Singh","userId":"07531335629612431081"}},"outputId":"9d06bc8a-48e1-43d7-f263-c790d76e7e1c"},"execution_count":21,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 432x288 with 1 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":["# Hence the value of k is 5 only (we get the best accuracy at k=5)"],"metadata":{"id":"UcAiHZIQGtNJ"},"execution_count":null,"outputs":[]}]}