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Clustering+PCA
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Clustering+PCA
1
{"cells":[{"metadata":{"_uuid":"8f2839f25d086af736a60e9eeb907d3b93b6e0e5","_cell_guid":"b1076dfc-b9ad-4769-8c92-a6c4dae69d19","trusted":true},"cell_type":"code","source":"import numpy as np # linear algebra\nimport pandas as pd # data processing, CSV file I/O (e.g. pd.read_csv)\nimport matplotlib.pyplot as plt\n","execution_count":1,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"df= pd.read_csv('/kaggle/input/jane-street-market-prediction/train.csv')","execution_count":2,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"df.head()\ndf.info()","execution_count":3,"outputs":[{"output_type":"stream","text":"<class 'pandas.core.frame.DataFrame'>\nRangeIndex: 2390491 entries, 0 to 2390490\nColumns: 138 entries, date to ts_id\ndtypes: float64(135), int64(3)\nmemory usage: 2.5 GB\n","name":"stdout"}]},{"metadata":{},"cell_type":"markdown","source":"> "},{"metadata":{},"cell_type":"markdown","source":"Reduce the size of the data. Convert float64 to float 32"},{"metadata":{"trusted":true},"cell_type":"code","source":"for i in df:\n if df[i].dtype == np.float64:\n if (((df[i] < .0001) & (df[i] > -.0001)).mean()) < .001:\n df[i] = df[i].astype(np.float32)","execution_count":4,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"df.info()","execution_count":5,"outputs":[{"output_type":"stream","text":"<class 'pandas.core.frame.DataFrame'>\nRangeIndex: 2390491 entries, 0 to 2390490\nColumns: 138 entries, date to ts_id\ndtypes: float32(129), float64(6), int64(3)\nmemory usage: 1.3 GB\n","name":"stdout"}]},{"metadata":{"trusted":true},"cell_type":"code","source":"features = df.drop(columns=[\"date\", \"weight\", \"resp_1\", \"resp_2\", \"resp_3\", \"resp_4\", \"resp\", \"ts_id\"])","execution_count":null,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"features.head()","execution_count":null,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"features.isna().sum()>0","execution_count":8,"outputs":[{"output_type":"execute_result","execution_count":8,"data":{"text/plain":"feature_0 False\nfeature_1 False\nfeature_2 False\nfeature_3 True\nfeature_4 True\n ... \nfeature_125 True\nfeature_126 True\nfeature_127 True\nfeature_128 True\nfeature_129 True\nLength: 130, dtype: bool"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"null_features = features.isnull().sum()\nnull_list = list(null_features[null_features >(0.20 * len(features))].index)\nnull_list","execution_count":11,"outputs":[{"output_type":"execute_result","execution_count":11,"data":{"text/plain":"['feature_7',\n 'feature_8',\n 'feature_17',\n 'feature_18',\n 'feature_27',\n 'feature_28',\n 'feature_72',\n 'feature_78',\n 'feature_84',\n 'feature_90',\n 'feature_96',\n 'feature_102',\n 'feature_108',\n 'feature_114']"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"df[['resp','resp_1','resp_2','resp_3','resp_4','weight']+null_list].corr().style.background_gradient(cmap='coolwarm')","execution_count":12,"outputs":[{"output_type":"execute_result","execution_count":12,"data":{"text/plain":"<pandas.io.formats.style.Styler at 0x7f4bc8e81cd0>","text/html":"<style type=\"text/css\" >\n#T_02928_row0_col0,#T_02928_row1_col1,#T_02928_row2_col2,#T_02928_row3_col3,#T_02928_row4_col4,#T_02928_row5_col5,#T_02928_row6_col6,#T_02928_row7_col7,#T_02928_row8_col8,#T_02928_row9_col9,#T_02928_row10_col10,#T_02928_row11_col11,#T_02928_row12_col12,#T_02928_row13_col13,#T_02928_row14_col14,#T_02928_row15_col15,#T_02928_row16_col16,#T_02928_row17_col17,#T_02928_row18_col18,#T_02928_row19_col19{\n background-color: #b40426;\n color: #f1f1f1;\n }#T_02928_row0_col1,#T_02928_row11_col6{\n 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}#T_02928_row18_col16{\n background-color: #c12b30;\n color: #f1f1f1;\n }#T_02928_row18_col17,#T_02928_row19_col16{\n background-color: #f7b497;\n color: #000000;\n }</style><table id=\"T_02928_\" ><thead> <tr> <th class=\"blank level0\" ></th> <th class=\"col_heading level0 col0\" >resp</th> <th class=\"col_heading level0 col1\" >resp_1</th> <th class=\"col_heading level0 col2\" >resp_2</th> <th class=\"col_heading level0 col3\" >resp_3</th> <th class=\"col_heading level0 col4\" >resp_4</th> <th class=\"col_heading level0 col5\" >weight</th> <th class=\"col_heading level0 col6\" >feature_7</th> <th class=\"col_heading level0 col7\" >feature_8</th> <th class=\"col_heading level0 col8\" >feature_17</th> <th class=\"col_heading level0 col9\" >feature_18</th> <th class=\"col_heading level0 col10\" >feature_27</th> <th class=\"col_heading level0 col11\" >feature_28</th> <th class=\"col_heading level0 col12\" >feature_72</th> <th class=\"col_heading level0 col13\" >feature_78</th> <th class=\"col_heading level0 col14\" >feature_84</th> <th class=\"col_heading level0 col15\" >feature_90</th> <th class=\"col_heading level0 col16\" >feature_96</th> <th class=\"col_heading level0 col17\" >feature_102</th> <th class=\"col_heading level0 col18\" >feature_108</th> <th class=\"col_heading level0 col19\" >feature_114</th> </tr></thead><tbody>\n <tr>\n <th id=\"T_02928_level0_row0\" class=\"row_heading level0 row0\" >resp</th>\n <td id=\"T_02928_row0_col0\" class=\"data row0 col0\" >1.000000</td>\n <td id=\"T_02928_row0_col1\" class=\"data row0 col1\" >0.452159</td>\n <td id=\"T_02928_row0_col2\" class=\"data row0 col2\" >0.595274</td>\n <td id=\"T_02928_row0_col3\" class=\"data row0 col3\" >0.815972</td>\n <td id=\"T_02928_row0_col4\" class=\"data row0 col4\" >0.956197</td>\n <td id=\"T_02928_row0_col5\" class=\"data row0 col5\" >-0.006948</td>\n <td id=\"T_02928_row0_col6\" class=\"data row0 col6\" >0.021207</td>\n <td id=\"T_02928_row0_col7\" class=\"data row0 col7\" >0.014660</td>\n <td id=\"T_02928_row0_col8\" class=\"data row0 col8\" >-0.028277</td>\n <td id=\"T_02928_row0_col9\" class=\"data row0 col9\" >-0.017448</td>\n <td id=\"T_02928_row0_col10\" class=\"data row0 col10\" >0.048293</td>\n <td id=\"T_02928_row0_col11\" class=\"data row0 col11\" >0.032502</td>\n <td id=\"T_02928_row0_col12\" class=\"data row0 col12\" >-0.002034</td>\n <td id=\"T_02928_row0_col13\" class=\"data row0 col13\" >0.000072</td>\n <td id=\"T_02928_row0_col14\" class=\"data row0 col14\" >0.011500</td>\n <td id=\"T_02928_row0_col15\" class=\"data row0 col15\" >0.003604</td>\n <td id=\"T_02928_row0_col16\" class=\"data row0 col16\" >0.013469</td>\n <td id=\"T_02928_row0_col17\" class=\"data row0 col17\" >0.004613</td>\n <td id=\"T_02928_row0_col18\" class=\"data row0 col18\" >0.013209</td>\n <td id=\"T_02928_row0_col19\" class=\"data row0 col19\" >0.004385</td>\n </tr>\n <tr>\n <th id=\"T_02928_level0_row1\" class=\"row_heading level0 row1\" >resp_1</th>\n <td id=\"T_02928_row1_col0\" class=\"data row1 col0\" >0.452159</td>\n <td id=\"T_02928_row1_col1\" class=\"data row1 col1\" >1.000000</td>\n <td id=\"T_02928_row1_col2\" class=\"data row1 col2\" >0.890214</td>\n <td id=\"T_02928_row1_col3\" class=\"data row1 col3\" >0.678381</td>\n <td id=\"T_02928_row1_col4\" class=\"data row1 col4\" >0.358949</td>\n <td id=\"T_02928_row1_col5\" class=\"data row1 col5\" >-0.016091</td>\n <td id=\"T_02928_row1_col6\" class=\"data row1 col6\" >0.033919</td>\n <td id=\"T_02928_row1_col7\" class=\"data row1 col7\" >0.026142</td>\n <td id=\"T_02928_row1_col8\" class=\"data row1 col8\" >0.004333</td>\n <td id=\"T_02928_row1_col9\" class=\"data row1 col9\" >0.006632</td>\n <td id=\"T_02928_row1_col10\" class=\"data row1 col10\" >0.036125</td>\n <td id=\"T_02928_row1_col11\" class=\"data row1 col11\" >0.025671</td>\n <td id=\"T_02928_row1_col12\" class=\"data row1 col12\" >-0.000889</td>\n <td id=\"T_02928_row1_col13\" class=\"data row1 col13\" >0.001371</td>\n <td id=\"T_02928_row1_col14\" class=\"data row1 col14\" >0.008330</td>\n <td id=\"T_02928_row1_col15\" class=\"data row1 col15\" >0.001973</td>\n <td id=\"T_02928_row1_col16\" class=\"data row1 col16\" >0.010467</td>\n <td id=\"T_02928_row1_col17\" class=\"data row1 col17\" >0.002994</td>\n <td id=\"T_02928_row1_col18\" class=\"data row1 col18\" >0.010255</td>\n <td id=\"T_02928_row1_col19\" class=\"data row1 col19\" >0.002969</td>\n </tr>\n <tr>\n <th id=\"T_02928_level0_row2\" class=\"row_heading level0 row2\" >resp_2</th>\n <td id=\"T_02928_row2_col0\" class=\"data row2 col0\" >0.595274</td>\n <td id=\"T_02928_row2_col1\" class=\"data row2 col1\" >0.890214</td>\n <td id=\"T_02928_row2_col2\" class=\"data row2 col2\" >1.000000</td>\n <td id=\"T_02928_row2_col3\" class=\"data row2 col3\" >0.823383</td>\n <td id=\"T_02928_row2_col4\" class=\"data row2 col4\" >0.469230</td>\n <td id=\"T_02928_row2_col5\" class=\"data row2 col5\" >-0.012955</td>\n <td id=\"T_02928_row2_col6\" class=\"data row2 col6\" >0.030800</td>\n <td id=\"T_02928_row2_col7\" class=\"data row2 col7\" >0.025124</td>\n <td id=\"T_02928_row2_col8\" class=\"data row2 col8\" >-0.005811</td>\n <td id=\"T_02928_row2_col9\" class=\"data row2 col9\" >0.000202</td>\n <td id=\"T_02928_row2_col10\" class=\"data row2 col10\" >0.039829</td>\n <td id=\"T_02928_row2_col11\" class=\"data row2 col11\" >0.028633</td>\n <td id=\"T_02928_row2_col12\" class=\"data row2 col12\" >-0.000642</td>\n <td id=\"T_02928_row2_col13\" class=\"data row2 col13\" >0.001266</td>\n <td id=\"T_02928_row2_col14\" class=\"data row2 col14\" >0.008487</td>\n <td id=\"T_02928_row2_col15\" class=\"data row2 col15\" >0.001454</td>\n <td id=\"T_02928_row2_col16\" class=\"data row2 col16\" >0.010247</td>\n <td id=\"T_02928_row2_col17\" class=\"data row2 col17\" >0.002223</td>\n <td id=\"T_02928_row2_col18\" class=\"data row2 col18\" >0.010270</td>\n <td id=\"T_02928_row2_col19\" class=\"data row2 col19\" >0.002225</td>\n </tr>\n <tr>\n <th id=\"T_02928_level0_row3\" class=\"row_heading level0 row3\" >resp_3</th>\n <td id=\"T_02928_row3_col0\" class=\"data row3 col0\" >0.815972</td>\n <td id=\"T_02928_row3_col1\" class=\"data row3 col1\" >0.678381</td>\n <td id=\"T_02928_row3_col2\" class=\"data row3 col2\" >0.823383</td>\n <td id=\"T_02928_row3_col3\" class=\"data row3 col3\" >1.000000</td>\n <td id=\"T_02928_row3_col4\" class=\"data row3 col4\" >0.805952</td>\n <td id=\"T_02928_row3_col5\" class=\"data row3 col5\" >-0.009229</td>\n <td id=\"T_02928_row3_col6\" class=\"data row3 col6\" >0.019317</td>\n <td id=\"T_02928_row3_col7\" class=\"data row3 col7\" >0.014859</td>\n <td id=\"T_02928_row3_col8\" class=\"data row3 col8\" >-0.002078</td>\n <td id=\"T_02928_row3_col9\" class=\"data row3 col9\" >0.000566</td>\n <td id=\"T_02928_row3_col10\" class=\"data row3 col10\" >0.023373</td>\n <td id=\"T_02928_row3_col11\" class=\"data row3 col11\" >0.016951</td>\n <td id=\"T_02928_row3_col12\" class=\"data row3 col12\" >-0.004490</td>\n <td id=\"T_02928_row3_col13\" class=\"data row3 col13\" >-0.003221</td>\n <td id=\"T_02928_row3_col14\" class=\"data row3 col14\" >0.007704</td>\n <td id=\"T_02928_row3_col15\" class=\"data row3 col15\" >0.000655</td>\n <td id=\"T_02928_row3_col16\" class=\"data row3 col16\" >0.011542</td>\n <td id=\"T_02928_row3_col17\" class=\"data row3 col17\" >0.003766</td>\n <td id=\"T_02928_row3_col18\" class=\"data row3 col18\" >0.010231</td>\n <td id=\"T_02928_row3_col19\" class=\"data row3 col19\" >0.002438</td>\n </tr>\n <tr>\n <th id=\"T_02928_level0_row4\" class=\"row_heading level0 row4\" >resp_4</th>\n <td id=\"T_02928_row4_col0\" class=\"data row4 col0\" >0.956197</td>\n <td id=\"T_02928_row4_col1\" class=\"data row4 col1\" >0.358949</td>\n <td id=\"T_02928_row4_col2\" class=\"data row4 col2\" >0.469230</td>\n <td id=\"T_02928_row4_col3\" class=\"data row4 col3\" >0.805952</td>\n <td id=\"T_02928_row4_col4\" class=\"data row4 col4\" >1.000000</td>\n <td id=\"T_02928_row4_col5\" class=\"data row4 col5\" >-0.005817</td>\n <td id=\"T_02928_row4_col6\" class=\"data row4 col6\" >0.015059</td>\n <td id=\"T_02928_row4_col7\" class=\"data row4 col7\" >0.009246</td>\n <td id=\"T_02928_row4_col8\" class=\"data row4 col8\" >-0.018851</td>\n <td id=\"T_02928_row4_col9\" class=\"data row4 col9\" >-0.012306</td>\n <td id=\"T_02928_row4_col10\" class=\"data row4 col10\" >0.033533</td>\n <td id=\"T_02928_row4_col11\" class=\"data row4 col11\" >0.022307</td>\n <td id=\"T_02928_row4_col12\" class=\"data row4 col12\" >-0.003965</td>\n <td id=\"T_02928_row4_col13\" class=\"data row4 col13\" >-0.002240</td>\n <td id=\"T_02928_row4_col14\" class=\"data row4 col14\" >0.009916</td>\n <td id=\"T_02928_row4_col15\" class=\"data row4 col15\" >0.003087</td>\n <td id=\"T_02928_row4_col16\" class=\"data row4 col16\" >0.012989</td>\n <td id=\"T_02928_row4_col17\" class=\"data row4 col17\" >0.005355</td>\n <td id=\"T_02928_row4_col18\" class=\"data row4 col18\" >0.011978</td>\n <td id=\"T_02928_row4_col19\" class=\"data row4 col19\" >0.004442</td>\n </tr>\n <tr>\n <th id=\"T_02928_level0_row5\" class=\"row_heading level0 row5\" >weight</th>\n <td id=\"T_02928_row5_col0\" class=\"data row5 col0\" >-0.006948</td>\n <td id=\"T_02928_row5_col1\" class=\"data row5 col1\" >-0.016091</td>\n <td id=\"T_02928_row5_col2\" class=\"data row5 col2\" >-0.012955</td>\n <td id=\"T_02928_row5_col3\" class=\"data row5 col3\" >-0.009229</td>\n <td id=\"T_02928_row5_col4\" class=\"data row5 col4\" >-0.005817</td>\n <td id=\"T_02928_row5_col5\" class=\"data row5 col5\" >1.000000</td>\n <td id=\"T_02928_row5_col6\" class=\"data row5 col6\" >-0.016164</td>\n <td id=\"T_02928_row5_col7\" class=\"data row5 col7\" >-0.000819</td>\n <td id=\"T_02928_row5_col8\" class=\"data row5 col8\" >-0.011541</td>\n <td id=\"T_02928_row5_col9\" class=\"data row5 col9\" >-0.002568</td>\n <td id=\"T_02928_row5_col10\" class=\"data row5 col10\" >-0.010643</td>\n <td id=\"T_02928_row5_col11\" class=\"data row5 col11\" >0.001118</td>\n <td id=\"T_02928_row5_col12\" class=\"data row5 col12\" >0.002058</td>\n <td id=\"T_02928_row5_col13\" class=\"data row5 col13\" >0.000367</td>\n <td id=\"T_02928_row5_col14\" class=\"data row5 col14\" >-0.041597</td>\n <td id=\"T_02928_row5_col15\" class=\"data row5 col15\" >0.052486</td>\n <td id=\"T_02928_row5_col16\" class=\"data row5 col16\" >-0.044057</td>\n <td id=\"T_02928_row5_col17\" class=\"data row5 col17\" >0.056261</td>\n <td id=\"T_02928_row5_col18\" class=\"data row5 col18\" >-0.046157</td>\n <td id=\"T_02928_row5_col19\" class=\"data row5 col19\" >0.053893</td>\n </tr>\n <tr>\n <th id=\"T_02928_level0_row6\" class=\"row_heading level0 row6\" >feature_7</th>\n <td id=\"T_02928_row6_col0\" class=\"data row6 col0\" >0.021207</td>\n <td id=\"T_02928_row6_col1\" class=\"data row6 col1\" >0.033919</td>\n <td id=\"T_02928_row6_col2\" class=\"data row6 col2\" >0.030800</td>\n <td id=\"T_02928_row6_col3\" class=\"data row6 col3\" >0.019317</td>\n <td id=\"T_02928_row6_col4\" class=\"data row6 col4\" >0.015059</td>\n <td id=\"T_02928_row6_col5\" class=\"data row6 col5\" >-0.016164</td>\n <td id=\"T_02928_row6_col6\" class=\"data row6 col6\" >1.000000</td>\n <td id=\"T_02928_row6_col7\" class=\"data row6 col7\" >0.898832</td>\n <td id=\"T_02928_row6_col8\" class=\"data row6 col8\" >0.402987</td>\n <td id=\"T_02928_row6_col9\" class=\"data row6 col9\" >0.374951</td>\n <td id=\"T_02928_row6_col10\" class=\"data row6 col10\" >0.487964</td>\n <td id=\"T_02928_row6_col11\" class=\"data row6 col11\" >0.430844</td>\n <td id=\"T_02928_row6_col12\" class=\"data row6 col12\" >-0.009719</td>\n <td id=\"T_02928_row6_col13\" class=\"data row6 col13\" >-0.006903</td>\n <td id=\"T_02928_row6_col14\" class=\"data row6 col14\" >-0.015400</td>\n <td id=\"T_02928_row6_col15\" class=\"data row6 col15\" >-0.054359</td>\n <td id=\"T_02928_row6_col16\" class=\"data row6 col16\" >-0.009083</td>\n <td id=\"T_02928_row6_col17\" class=\"data row6 col17\" >-0.051083</td>\n <td id=\"T_02928_row6_col18\" class=\"data row6 col18\" >-0.001724</td>\n <td id=\"T_02928_row6_col19\" class=\"data row6 col19\" >-0.046770</td>\n </tr>\n <tr>\n <th id=\"T_02928_level0_row7\" class=\"row_heading level0 row7\" >feature_8</th>\n <td id=\"T_02928_row7_col0\" class=\"data row7 col0\" >0.014660</td>\n <td id=\"T_02928_row7_col1\" class=\"data row7 col1\" >0.026142</td>\n <td id=\"T_02928_row7_col2\" class=\"data row7 col2\" >0.025124</td>\n <td id=\"T_02928_row7_col3\" class=\"data row7 col3\" >0.014859</td>\n <td id=\"T_02928_row7_col4\" class=\"data row7 col4\" >0.009246</td>\n <td id=\"T_02928_row7_col5\" class=\"data row7 col5\" >-0.000819</td>\n <td id=\"T_02928_row7_col6\" class=\"data row7 col6\" >0.898832</td>\n <td id=\"T_02928_row7_col7\" class=\"data row7 col7\" >1.000000</td>\n <td id=\"T_02928_row7_col8\" class=\"data row7 col8\" >0.373778</td>\n <td id=\"T_02928_row7_col9\" class=\"data row7 col9\" >0.425576</td>\n <td id=\"T_02928_row7_col10\" class=\"data row7 col10\" >0.424587</td>\n <td id=\"T_02928_row7_col11\" class=\"data row7 col11\" >0.463257</td>\n <td id=\"T_02928_row7_col12\" class=\"data row7 col12\" >-0.003916</td>\n <td id=\"T_02928_row7_col13\" class=\"data row7 col13\" >0.001188</td>\n <td id=\"T_02928_row7_col14\" class=\"data row7 col14\" >-0.002604</td>\n <td id=\"T_02928_row7_col15\" class=\"data row7 col15\" >-0.038638</td>\n <td id=\"T_02928_row7_col16\" class=\"data row7 col16\" >0.000781</td>\n <td id=\"T_02928_row7_col17\" class=\"data row7 col17\" >-0.039802</td>\n <td id=\"T_02928_row7_col18\" class=\"data row7 col18\" >0.010609</td>\n <td id=\"T_02928_row7_col19\" class=\"data row7 col19\" >-0.034254</td>\n </tr>\n <tr>\n <th id=\"T_02928_level0_row8\" class=\"row_heading level0 row8\" >feature_17</th>\n <td id=\"T_02928_row8_col0\" class=\"data row8 col0\" >-0.028277</td>\n <td id=\"T_02928_row8_col1\" class=\"data row8 col1\" >0.004333</td>\n <td id=\"T_02928_row8_col2\" class=\"data row8 col2\" >-0.005811</td>\n <td id=\"T_02928_row8_col3\" class=\"data row8 col3\" >-0.002078</td>\n <td id=\"T_02928_row8_col4\" class=\"data row8 col4\" >-0.018851</td>\n <td id=\"T_02928_row8_col5\" class=\"data row8 col5\" >-0.011541</td>\n <td id=\"T_02928_row8_col6\" class=\"data row8 col6\" >0.402987</td>\n <td id=\"T_02928_row8_col7\" class=\"data row8 col7\" >0.373778</td>\n <td id=\"T_02928_row8_col8\" class=\"data row8 col8\" >1.000000</td>\n <td id=\"T_02928_row8_col9\" class=\"data row8 col9\" >0.906956</td>\n <td id=\"T_02928_row8_col10\" class=\"data row8 col10\" >-0.501928</td>\n <td id=\"T_02928_row8_col11\" class=\"data row8 col11\" >-0.464884</td>\n <td id=\"T_02928_row8_col12\" class=\"data row8 col12\" >-0.070201</td>\n <td id=\"T_02928_row8_col13\" class=\"data row8 col13\" >-0.069432</td>\n <td id=\"T_02928_row8_col14\" class=\"data row8 col14\" >-0.021351</td>\n <td id=\"T_02928_row8_col15\" class=\"data row8 col15\" >-0.053571</td>\n <td id=\"T_02928_row8_col16\" class=\"data row8 col16\" >0.039123</td>\n <td id=\"T_02928_row8_col17\" class=\"data row8 col17\" >0.007819</td>\n <td id=\"T_02928_row8_col18\" class=\"data row8 col18\" >0.016894</td>\n <td id=\"T_02928_row8_col19\" class=\"data row8 col19\" >-0.020790</td>\n </tr>\n <tr>\n <th id=\"T_02928_level0_row9\" class=\"row_heading level0 row9\" >feature_18</th>\n <td id=\"T_02928_row9_col0\" class=\"data row9 col0\" >-0.017448</td>\n <td id=\"T_02928_row9_col1\" class=\"data row9 col1\" >0.006632</td>\n <td id=\"T_02928_row9_col2\" class=\"data row9 col2\" >0.000202</td>\n <td id=\"T_02928_row9_col3\" class=\"data row9 col3\" >0.000566</td>\n <td id=\"T_02928_row9_col4\" class=\"data row9 col4\" >-0.012306</td>\n <td id=\"T_02928_row9_col5\" class=\"data row9 col5\" >-0.002568</td>\n <td id=\"T_02928_row9_col6\" class=\"data row9 col6\" >0.374951</td>\n <td id=\"T_02928_row9_col7\" class=\"data row9 col7\" >0.425576</td>\n <td id=\"T_02928_row9_col8\" class=\"data row9 col8\" >0.906956</td>\n <td id=\"T_02928_row9_col9\" class=\"data row9 col9\" >1.000000</td>\n <td id=\"T_02928_row9_col10\" class=\"data row9 col10\" >-0.446295</td>\n <td id=\"T_02928_row9_col11\" class=\"data row9 col11\" >-0.503707</td>\n <td id=\"T_02928_row9_col12\" class=\"data row9 col12\" >-0.078615</td>\n <td id=\"T_02928_row9_col13\" class=\"data row9 col13\" >-0.074634</td>\n <td id=\"T_02928_row9_col14\" class=\"data row9 col14\" >-0.021682</td>\n <td id=\"T_02928_row9_col15\" class=\"data row9 col15\" >-0.054821</td>\n <td id=\"T_02928_row9_col16\" class=\"data row9 col16\" >0.040938</td>\n <td id=\"T_02928_row9_col17\" class=\"data row9 col17\" >0.006212</td>\n <td id=\"T_02928_row9_col18\" class=\"data row9 col18\" >0.017579</td>\n <td id=\"T_02928_row9_col19\" class=\"data row9 col19\" >-0.023075</td>\n </tr>\n <tr>\n <th id=\"T_02928_level0_row10\" class=\"row_heading level0 row10\" >feature_27</th>\n <td id=\"T_02928_row10_col0\" class=\"data row10 col0\" >0.048293</td>\n <td id=\"T_02928_row10_col1\" class=\"data row10 col1\" >0.036125</td>\n <td id=\"T_02928_row10_col2\" class=\"data row10 col2\" >0.039829</td>\n <td id=\"T_02928_row10_col3\" class=\"data row10 col3\" >0.023373</td>\n <td id=\"T_02928_row10_col4\" class=\"data row10 col4\" >0.033533</td>\n <td id=\"T_02928_row10_col5\" class=\"data row10 col5\" >-0.010643</td>\n <td id=\"T_02928_row10_col6\" class=\"data row10 col6\" >0.487964</td>\n <td id=\"T_02928_row10_col7\" class=\"data row10 col7\" >0.424587</td>\n <td id=\"T_02928_row10_col8\" class=\"data row10 col8\" >-0.501928</td>\n <td id=\"T_02928_row10_col9\" class=\"data row10 col9\" >-0.446295</td>\n <td id=\"T_02928_row10_col10\" class=\"data row10 col10\" >1.000000</td>\n <td id=\"T_02928_row10_col11\" class=\"data row10 col11\" >0.900539</td>\n <td id=\"T_02928_row10_col12\" class=\"data row10 col12\" >0.059322</td>\n <td id=\"T_02928_row10_col13\" class=\"data row10 col13\" >0.060716</td>\n <td id=\"T_02928_row10_col14\" class=\"data row10 col14\" >0.020922</td>\n <td id=\"T_02928_row10_col15\" class=\"data row10 col15\" >-0.004243</td>\n <td id=\"T_02928_row10_col16\" class=\"data row10 col16\" >-0.029925</td>\n <td id=\"T_02928_row10_col17\" class=\"data row10 col17\" >-0.059175</td>\n <td id=\"T_02928_row10_col18\" class=\"data row10 col18\" >0.000032</td>\n <td id=\"T_02928_row10_col19\" class=\"data row10 col19\" >-0.028572</td>\n </tr>\n <tr>\n <th id=\"T_02928_level0_row11\" class=\"row_heading level0 row11\" >feature_28</th>\n <td id=\"T_02928_row11_col0\" class=\"data row11 col0\" >0.032502</td>\n <td id=\"T_02928_row11_col1\" class=\"data row11 col1\" >0.025671</td>\n <td id=\"T_02928_row11_col2\" class=\"data row11 col2\" >0.028633</td>\n <td id=\"T_02928_row11_col3\" class=\"data row11 col3\" >0.016951</td>\n <td id=\"T_02928_row11_col4\" class=\"data row11 col4\" >0.022307</td>\n <td id=\"T_02928_row11_col5\" class=\"data row11 col5\" >0.001118</td>\n <td id=\"T_02928_row11_col6\" class=\"data row11 col6\" >0.430844</td>\n <td id=\"T_02928_row11_col7\" class=\"data row11 col7\" >0.463257</td>\n <td id=\"T_02928_row11_col8\" class=\"data row11 col8\" >-0.464884</td>\n <td id=\"T_02928_row11_col9\" class=\"data row11 col9\" >-0.503707</td>\n <td id=\"T_02928_row11_col10\" class=\"data row11 col10\" >0.900539</td>\n <td id=\"T_02928_row11_col11\" class=\"data row11 col11\" >1.000000</td>\n <td id=\"T_02928_row11_col12\" class=\"data row11 col12\" >0.074591</td>\n <td id=\"T_02928_row11_col13\" class=\"data row11 col13\" >0.075029</td>\n <td id=\"T_02928_row11_col14\" class=\"data row11 col14\" >0.030016</td>\n <td id=\"T_02928_row11_col15\" class=\"data row11 col15\" >0.005652</td>\n <td id=\"T_02928_row11_col16\" class=\"data row11 col16\" >-0.027775</td>\n <td id=\"T_02928_row11_col17\" class=\"data row11 col17\" >-0.055675</td>\n <td id=\"T_02928_row11_col18\" class=\"data row11 col18\" >0.006896</td>\n <td id=\"T_02928_row11_col19\" class=\"data row11 col19\" >-0.021918</td>\n </tr>\n <tr>\n <th id=\"T_02928_level0_row12\" class=\"row_heading level0 row12\" >feature_72</th>\n <td id=\"T_02928_row12_col0\" class=\"data row12 col0\" >-0.002034</td>\n <td id=\"T_02928_row12_col1\" class=\"data row12 col1\" >-0.000889</td>\n <td id=\"T_02928_row12_col2\" class=\"data row12 col2\" >-0.000642</td>\n <td id=\"T_02928_row12_col3\" class=\"data row12 col3\" >-0.004490</td>\n <td id=\"T_02928_row12_col4\" class=\"data row12 col4\" >-0.003965</td>\n <td id=\"T_02928_row12_col5\" class=\"data row12 col5\" >0.002058</td>\n <td id=\"T_02928_row12_col6\" class=\"data row12 col6\" >-0.009719</td>\n <td id=\"T_02928_row12_col7\" class=\"data row12 col7\" >-0.003916</td>\n <td id=\"T_02928_row12_col8\" class=\"data row12 col8\" >-0.070201</td>\n <td id=\"T_02928_row12_col9\" class=\"data row12 col9\" >-0.078615</td>\n <td id=\"T_02928_row12_col10\" class=\"data row12 col10\" >0.059322</td>\n <td id=\"T_02928_row12_col11\" class=\"data row12 col11\" >0.074591</td>\n <td id=\"T_02928_row12_col12\" class=\"data row12 col12\" >1.000000</td>\n <td id=\"T_02928_row12_col13\" class=\"data row12 col13\" >0.773391</td>\n <td id=\"T_02928_row12_col14\" class=\"data row12 col14\" >0.268906</td>\n <td id=\"T_02928_row12_col15\" class=\"data row12 col15\" >0.209429</td>\n <td id=\"T_02928_row12_col16\" class=\"data row12 col16\" >-0.208541</td>\n <td id=\"T_02928_row12_col17\" class=\"data row12 col17\" >-0.144612</td>\n <td id=\"T_02928_row12_col18\" class=\"data row12 col18\" >0.029765</td>\n <td id=\"T_02928_row12_col19\" class=\"data row12 col19\" >0.032632</td>\n </tr>\n <tr>\n <th id=\"T_02928_level0_row13\" class=\"row_heading level0 row13\" >feature_78</th>\n <td id=\"T_02928_row13_col0\" class=\"data row13 col0\" >0.000072</td>\n <td id=\"T_02928_row13_col1\" class=\"data row13 col1\" >0.001371</td>\n <td id=\"T_02928_row13_col2\" class=\"data row13 col2\" >0.001266</td>\n <td id=\"T_02928_row13_col3\" class=\"data row13 col3\" >-0.003221</td>\n <td id=\"T_02928_row13_col4\" class=\"data row13 col4\" >-0.002240</td>\n <td id=\"T_02928_row13_col5\" class=\"data row13 col5\" >0.000367</td>\n <td id=\"T_02928_row13_col6\" class=\"data row13 col6\" >-0.006903</td>\n <td id=\"T_02928_row13_col7\" class=\"data row13 col7\" >0.001188</td>\n <td id=\"T_02928_row13_col8\" class=\"data row13 col8\" >-0.069432</td>\n <td id=\"T_02928_row13_col9\" class=\"data row13 col9\" >-0.074634</td>\n <td id=\"T_02928_row13_col10\" class=\"data row13 col10\" >0.060716</td>\n <td id=\"T_02928_row13_col11\" class=\"data row13 col11\" >0.075029</td>\n <td id=\"T_02928_row13_col12\" class=\"data row13 col12\" >0.773391</td>\n <td id=\"T_02928_row13_col13\" class=\"data row13 col13\" >1.000000</td>\n <td id=\"T_02928_row13_col14\" class=\"data row13 col14\" >0.221750</td>\n <td id=\"T_02928_row13_col15\" class=\"data row13 col15\" >0.234574</td>\n <td id=\"T_02928_row13_col16\" class=\"data row13 col16\" >-0.149852</td>\n <td id=\"T_02928_row13_col17\" class=\"data row13 col17\" >-0.183428</td>\n <td id=\"T_02928_row13_col18\" class=\"data row13 col18\" >0.035854</td>\n <td id=\"T_02928_row13_col19\" class=\"data row13 col19\" >0.024444</td>\n </tr>\n <tr>\n <th id=\"T_02928_level0_row14\" class=\"row_heading level0 row14\" >feature_84</th>\n <td id=\"T_02928_row14_col0\" class=\"data row14 col0\" >0.011500</td>\n <td id=\"T_02928_row14_col1\" class=\"data row14 col1\" >0.008330</td>\n <td id=\"T_02928_row14_col2\" class=\"data row14 col2\" >0.008487</td>\n <td id=\"T_02928_row14_col3\" class=\"data row14 col3\" >0.007704</td>\n <td id=\"T_02928_row14_col4\" class=\"data row14 col4\" >0.009916</td>\n <td id=\"T_02928_row14_col5\" class=\"data row14 col5\" >-0.041597</td>\n <td id=\"T_02928_row14_col6\" class=\"data row14 col6\" >-0.015400</td>\n <td id=\"T_02928_row14_col7\" class=\"data row14 col7\" >-0.002604</td>\n <td id=\"T_02928_row14_col8\" class=\"data row14 col8\" >-0.021351</td>\n <td id=\"T_02928_row14_col9\" class=\"data row14 col9\" >-0.021682</td>\n <td id=\"T_02928_row14_col10\" class=\"data row14 col10\" >0.020922</td>\n <td id=\"T_02928_row14_col11\" class=\"data row14 col11\" >0.030016</td>\n <td id=\"T_02928_row14_col12\" class=\"data row14 col12\" >0.268906</td>\n <td id=\"T_02928_row14_col13\" class=\"data row14 col13\" >0.221750</td>\n <td id=\"T_02928_row14_col14\" class=\"data row14 col14\" >1.000000</td>\n <td id=\"T_02928_row14_col15\" class=\"data row14 col15\" >0.645486</td>\n <td id=\"T_02928_row14_col16\" class=\"data row14 col16\" >0.873262</td>\n <td id=\"T_02928_row14_col17\" class=\"data row14 col17\" >0.534054</td>\n <td id=\"T_02928_row14_col18\" class=\"data row14 col18\" >0.951272</td>\n <td id=\"T_02928_row14_col19\" class=\"data row14 col19\" >0.608618</td>\n </tr>\n <tr>\n <th id=\"T_02928_level0_row15\" class=\"row_heading level0 row15\" >feature_90</th>\n <td id=\"T_02928_row15_col0\" class=\"data row15 col0\" >0.003604</td>\n <td id=\"T_02928_row15_col1\" class=\"data row15 col1\" >0.001973</td>\n <td id=\"T_02928_row15_col2\" class=\"data row15 col2\" >0.001454</td>\n <td id=\"T_02928_row15_col3\" class=\"data row15 col3\" >0.000655</td>\n <td id=\"T_02928_row15_col4\" class=\"data row15 col4\" >0.003087</td>\n <td id=\"T_02928_row15_col5\" class=\"data row15 col5\" >0.052486</td>\n <td id=\"T_02928_row15_col6\" class=\"data row15 col6\" >-0.054359</td>\n <td id=\"T_02928_row15_col7\" class=\"data row15 col7\" >-0.038638</td>\n <td id=\"T_02928_row15_col8\" class=\"data row15 col8\" >-0.053571</td>\n <td id=\"T_02928_row15_col9\" class=\"data row15 col9\" >-0.054821</td>\n <td id=\"T_02928_row15_col10\" class=\"data row15 col10\" >-0.004243</td>\n <td id=\"T_02928_row15_col11\" class=\"data row15 col11\" >0.005652</td>\n <td id=\"T_02928_row15_col12\" class=\"data row15 col12\" >0.209429</td>\n <td id=\"T_02928_row15_col13\" class=\"data row15 col13\" >0.234574</td>\n <td id=\"T_02928_row15_col14\" class=\"data row15 col14\" >0.645486</td>\n <td id=\"T_02928_row15_col15\" class=\"data row15 col15\" >1.000000</td>\n <td id=\"T_02928_row15_col16\" class=\"data row15 col16\" >0.547641</td>\n <td id=\"T_02928_row15_col17\" class=\"data row15 col17\" >0.891866</td>\n <td id=\"T_02928_row15_col18\" class=\"data row15 col18\" >0.628328</td>\n <td id=\"T_02928_row15_col19\" class=\"data row15 col19\" >0.971499</td>\n </tr>\n <tr>\n <th id=\"T_02928_level0_row16\" class=\"row_heading level0 row16\" >feature_96</th>\n <td id=\"T_02928_row16_col0\" class=\"data row16 col0\" >0.013469</td>\n <td id=\"T_02928_row16_col1\" class=\"data row16 col1\" >0.010467</td>\n <td id=\"T_02928_row16_col2\" class=\"data row16 col2\" >0.010247</td>\n <td id=\"T_02928_row16_col3\" class=\"data row16 col3\" >0.011542</td>\n <td id=\"T_02928_row16_col4\" class=\"data row16 col4\" >0.012989</td>\n <td id=\"T_02928_row16_col5\" class=\"data row16 col5\" >-0.044057</td>\n <td id=\"T_02928_row16_col6\" class=\"data row16 col6\" >-0.009083</td>\n <td id=\"T_02928_row16_col7\" class=\"data row16 col7\" >0.000781</td>\n <td id=\"T_02928_row16_col8\" class=\"data row16 col8\" >0.039123</td>\n <td id=\"T_02928_row16_col9\" class=\"data row16 col9\" >0.040938</td>\n <td id=\"T_02928_row16_col10\" class=\"data row16 col10\" >-0.029925</td>\n <td id=\"T_02928_row16_col11\" class=\"data row16 col11\" >-0.027775</td>\n <td id=\"T_02928_row16_col12\" class=\"data row16 col12\" >-0.208541</td>\n <td id=\"T_02928_row16_col13\" class=\"data row16 col13\" >-0.149852</td>\n <td id=\"T_02928_row16_col14\" class=\"data row16 col14\" >0.873262</td>\n <td id=\"T_02928_row16_col15\" class=\"data row16 col15\" >0.547641</td>\n <td id=\"T_02928_row16_col16\" class=\"data row16 col16\" >1.000000</td>\n <td id=\"T_02928_row16_col17\" class=\"data row16 col17\" >0.633677</td>\n <td id=\"T_02928_row16_col18\" class=\"data row16 col18\" >0.956765</td>\n <td id=\"T_02928_row16_col19\" class=\"data row16 col19\" >0.609289</td>\n </tr>\n <tr>\n <th id=\"T_02928_level0_row17\" class=\"row_heading level0 row17\" >feature_102</th>\n <td id=\"T_02928_row17_col0\" class=\"data row17 col0\" >0.004613</td>\n <td id=\"T_02928_row17_col1\" class=\"data row17 col1\" >0.002994</td>\n <td id=\"T_02928_row17_col2\" class=\"data row17 col2\" >0.002223</td>\n <td id=\"T_02928_row17_col3\" class=\"data row17 col3\" >0.003766</td>\n <td id=\"T_02928_row17_col4\" class=\"data row17 col4\" >0.005355</td>\n <td id=\"T_02928_row17_col5\" class=\"data row17 col5\" >0.056261</td>\n <td id=\"T_02928_row17_col6\" class=\"data row17 col6\" >-0.051083</td>\n <td id=\"T_02928_row17_col7\" class=\"data row17 col7\" >-0.039802</td>\n <td id=\"T_02928_row17_col8\" class=\"data row17 col8\" >0.007819</td>\n <td id=\"T_02928_row17_col9\" class=\"data row17 col9\" >0.006212</td>\n <td id=\"T_02928_row17_col10\" class=\"data row17 col10\" >-0.059175</td>\n <td id=\"T_02928_row17_col11\" class=\"data row17 col11\" >-0.055675</td>\n <td id=\"T_02928_row17_col12\" class=\"data row17 col12\" >-0.144612</td>\n <td id=\"T_02928_row17_col13\" class=\"data row17 col13\" >-0.183428</td>\n <td id=\"T_02928_row17_col14\" class=\"data row17 col14\" >0.534054</td>\n <td id=\"T_02928_row17_col15\" class=\"data row17 col15\" >0.891866</td>\n <td id=\"T_02928_row17_col16\" class=\"data row17 col16\" >0.633677</td>\n <td id=\"T_02928_row17_col17\" class=\"data row17 col17\" >1.000000</td>\n <td id=\"T_02928_row17_col18\" class=\"data row17 col18\" >0.618610</td>\n <td id=\"T_02928_row17_col19\" class=\"data row17 col19\" >0.971214</td>\n </tr>\n <tr>\n <th id=\"T_02928_level0_row18\" class=\"row_heading level0 row18\" >feature_108</th>\n <td id=\"T_02928_row18_col0\" class=\"data row18 col0\" >0.013209</td>\n <td id=\"T_02928_row18_col1\" class=\"data row18 col1\" >0.010255</td>\n <td id=\"T_02928_row18_col2\" class=\"data row18 col2\" >0.010270</td>\n <td id=\"T_02928_row18_col3\" class=\"data row18 col3\" >0.010231</td>\n <td id=\"T_02928_row18_col4\" class=\"data row18 col4\" >0.011978</td>\n <td id=\"T_02928_row18_col5\" class=\"data row18 col5\" >-0.046157</td>\n <td id=\"T_02928_row18_col6\" class=\"data row18 col6\" >-0.001724</td>\n <td id=\"T_02928_row18_col7\" class=\"data row18 col7\" >0.010609</td>\n <td id=\"T_02928_row18_col8\" class=\"data row18 col8\" >0.016894</td>\n <td id=\"T_02928_row18_col9\" class=\"data row18 col9\" >0.017579</td>\n <td id=\"T_02928_row18_col10\" class=\"data row18 col10\" >0.000032</td>\n <td id=\"T_02928_row18_col11\" class=\"data row18 col11\" >0.006896</td>\n <td id=\"T_02928_row18_col12\" class=\"data row18 col12\" >0.029765</td>\n <td id=\"T_02928_row18_col13\" class=\"data row18 col13\" >0.035854</td>\n <td id=\"T_02928_row18_col14\" class=\"data row18 col14\" >0.951272</td>\n <td id=\"T_02928_row18_col15\" class=\"data row18 col15\" >0.628328</td>\n <td id=\"T_02928_row18_col16\" class=\"data row18 col16\" >0.956765</td>\n <td id=\"T_02928_row18_col17\" class=\"data row18 col17\" >0.618610</td>\n <td id=\"T_02928_row18_col18\" class=\"data row18 col18\" >1.000000</td>\n <td id=\"T_02928_row18_col19\" class=\"data row18 col19\" >0.645604</td>\n </tr>\n <tr>\n <th id=\"T_02928_level0_row19\" class=\"row_heading level0 row19\" >feature_114</th>\n <td id=\"T_02928_row19_col0\" class=\"data row19 col0\" >0.004385</td>\n <td id=\"T_02928_row19_col1\" class=\"data row19 col1\" >0.002969</td>\n <td id=\"T_02928_row19_col2\" class=\"data row19 col2\" >0.002225</td>\n <td id=\"T_02928_row19_col3\" class=\"data row19 col3\" >0.002438</td>\n <td id=\"T_02928_row19_col4\" class=\"data row19 col4\" >0.004442</td>\n <td id=\"T_02928_row19_col5\" class=\"data row19 col5\" >0.053893</td>\n <td id=\"T_02928_row19_col6\" class=\"data row19 col6\" >-0.046770</td>\n <td id=\"T_02928_row19_col7\" class=\"data row19 col7\" >-0.034254</td>\n <td id=\"T_02928_row19_col8\" class=\"data row19 col8\" >-0.020790</td>\n <td id=\"T_02928_row19_col9\" class=\"data row19 col9\" >-0.023075</td>\n <td id=\"T_02928_row19_col10\" class=\"data row19 col10\" >-0.028572</td>\n <td id=\"T_02928_row19_col11\" class=\"data row19 col11\" >-0.021918</td>\n <td id=\"T_02928_row19_col12\" class=\"data row19 col12\" >0.032632</td>\n <td id=\"T_02928_row19_col13\" class=\"data row19 col13\" >0.024444</td>\n <td id=\"T_02928_row19_col14\" class=\"data row19 col14\" >0.608618</td>\n <td id=\"T_02928_row19_col15\" class=\"data row19 col15\" >0.971499</td>\n <td id=\"T_02928_row19_col16\" class=\"data row19 col16\" >0.609289</td>\n <td id=\"T_02928_row19_col17\" class=\"data row19 col17\" >0.971214</td>\n <td id=\"T_02928_row19_col18\" class=\"data row19 col18\" >0.645604</td>\n <td id=\"T_02928_row19_col19\" class=\"data row19 col19\" >1.000000</td>\n </tr>\n </tbody></table>"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"features.drop(columns=null_list,inplace=True)","execution_count":15,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"features.fillna(features.mean(axis=0),inplace=True)","execution_count":18,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"features.head()","execution_count":19,"outputs":[{"output_type":"execute_result","execution_count":19,"data":{"text/plain":" feature_0 feature_1 feature_2 feature_3 feature_4 feature_5 \\\n0 1 -1.872746 -2.191242 -0.474163 -0.323046 0.014688 \n1 -1 -1.349537 -1.704709 0.068058 0.028432 0.193794 \n2 -1 0.812780 -0.256156 0.806463 0.400221 -0.614188 \n3 -1 1.174379 0.344640 0.066872 0.009357 -1.006373 \n4 1 -3.172026 -3.093182 -0.161518 -0.128149 -0.195006 \n\n feature_6 feature_9 feature_10 feature_11 ... feature_120 \\\n0 -0.002484 -0.989982 -1.055090 0.089116 ... 0.335134 \n1 0.138212 -0.151877 -0.384952 0.089116 ... 0.335134 \n2 -0.354800 5.448261 2.668029 0.089116 ... 0.335134 \n3 -0.676458 4.508206 2.484260 0.089116 ... 0.335134 \n4 -0.143780 2.683017 1.450991 0.089116 ... 0.335134 \n\n feature_121 feature_122 feature_123 feature_124 feature_125 \\\n0 0.268782 1.168391 8.313582 1.782433 14.018213 \n1 0.268782 -1.178850 1.777472 -0.915459 2.831612 \n2 0.268782 6.115747 9.667908 5.542871 11.671595 \n3 0.268782 2.838853 0.499251 3.033731 1.513488 \n4 0.268782 0.344850 4.101145 0.614252 6.623456 \n\n feature_126 feature_127 feature_128 feature_129 \n0 2.653056 12.600291 2.301488 11.445807 \n1 -1.417010 2.297459 -1.304614 1.898684 \n2 7.281757 10.060014 6.638248 9.427299 \n3 4.397532 1.266037 3.856384 1.013469 \n4 0.800129 5.233243 0.362636 3.926633 \n\n[5 rows x 116 columns]","text/html":"<div>\n<style scoped>\n .dataframe tbody tr th:only-of-type {\n vertical-align: middle;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n\n .dataframe thead th {\n text-align: right;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>feature_0</th>\n <th>feature_1</th>\n <th>feature_2</th>\n <th>feature_3</th>\n <th>feature_4</th>\n <th>feature_5</th>\n <th>feature_6</th>\n <th>feature_9</th>\n <th>feature_10</th>\n <th>feature_11</th>\n <th>...</th>\n <th>feature_120</th>\n <th>feature_121</th>\n <th>feature_122</th>\n <th>feature_123</th>\n <th>feature_124</th>\n <th>feature_125</th>\n <th>feature_126</th>\n <th>feature_127</th>\n <th>feature_128</th>\n <th>feature_129</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>1</td>\n <td>-1.872746</td>\n <td>-2.191242</td>\n <td>-0.474163</td>\n <td>-0.323046</td>\n <td>0.014688</td>\n <td>-0.002484</td>\n <td>-0.989982</td>\n <td>-1.055090</td>\n <td>0.089116</td>\n <td>...</td>\n <td>0.335134</td>\n <td>0.268782</td>\n <td>1.168391</td>\n <td>8.313582</td>\n <td>1.782433</td>\n <td>14.018213</td>\n <td>2.653056</td>\n <td>12.600291</td>\n <td>2.301488</td>\n <td>11.445807</td>\n </tr>\n <tr>\n <th>1</th>\n <td>-1</td>\n <td>-1.349537</td>\n <td>-1.704709</td>\n <td>0.068058</td>\n <td>0.028432</td>\n <td>0.193794</td>\n <td>0.138212</td>\n <td>-0.151877</td>\n <td>-0.384952</td>\n <td>0.089116</td>\n <td>...</td>\n <td>0.335134</td>\n <td>0.268782</td>\n <td>-1.178850</td>\n <td>1.777472</td>\n <td>-0.915459</td>\n <td>2.831612</td>\n <td>-1.417010</td>\n <td>2.297459</td>\n <td>-1.304614</td>\n <td>1.898684</td>\n </tr>\n <tr>\n <th>2</th>\n <td>-1</td>\n <td>0.812780</td>\n <td>-0.256156</td>\n <td>0.806463</td>\n <td>0.400221</td>\n <td>-0.614188</td>\n <td>-0.354800</td>\n <td>5.448261</td>\n <td>2.668029</td>\n <td>0.089116</td>\n <td>...</td>\n <td>0.335134</td>\n <td>0.268782</td>\n <td>6.115747</td>\n <td>9.667908</td>\n <td>5.542871</td>\n <td>11.671595</td>\n <td>7.281757</td>\n <td>10.060014</td>\n <td>6.638248</td>\n <td>9.427299</td>\n </tr>\n <tr>\n <th>3</th>\n <td>-1</td>\n <td>1.174379</td>\n <td>0.344640</td>\n <td>0.066872</td>\n <td>0.009357</td>\n <td>-1.006373</td>\n <td>-0.676458</td>\n <td>4.508206</td>\n <td>2.484260</td>\n <td>0.089116</td>\n <td>...</td>\n <td>0.335134</td>\n <td>0.268782</td>\n <td>2.838853</td>\n <td>0.499251</td>\n <td>3.033731</td>\n <td>1.513488</td>\n <td>4.397532</td>\n <td>1.266037</td>\n <td>3.856384</td>\n <td>1.013469</td>\n </tr>\n <tr>\n <th>4</th>\n <td>1</td>\n <td>-3.172026</td>\n <td>-3.093182</td>\n <td>-0.161518</td>\n <td>-0.128149</td>\n <td>-0.195006</td>\n <td>-0.143780</td>\n <td>2.683017</td>\n <td>1.450991</td>\n <td>0.089116</td>\n <td>...</td>\n <td>0.335134</td>\n <td>0.268782</td>\n <td>0.344850</td>\n <td>4.101145</td>\n <td>0.614252</td>\n <td>6.623456</td>\n <td>0.800129</td>\n <td>5.233243</td>\n <td>0.362636</td>\n <td>3.926633</td>\n </tr>\n </tbody>\n</table>\n<p>5 rows × 116 columns</p>\n</div>"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"from sklearn.preprocessing import RobustScaler\nscaler = RobustScaler()\nfeatures = scaler.fit_transform(features)","execution_count":9,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"features.head()","execution_count":null,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"Clustering","execution_count":null,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"from sklearn.cluster import KMeans\nfrom kmodes import kmodes\n\nfrom sklearn.decomposition import PCA","execution_count":null,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"features_columns = features.columns\ncorr = features.corr()\ncorr_np = corr_feat_df.to_numpy()\n\ncorr_np","execution_count":null,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"inerts = []\nmax_clusters = 20\nfor i in range(1, max_clusters):\n kmeans = KMeans(n_clusters=i, init='k-means++', max_iter=200, n_init=10, random_state=0)\n kmeans.fit(corr_np)\n inerts.append(kmeans.inertia_)\n \nplt.plot(range(1, max_clusters), inerts)\nplt.title('Elbow Method')\nplt.xlabel('Number of clusters')\nplt.ylabel('Inerts')\nplt.show()","execution_count":null,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"n_clust = 5\nkmeans = KMeans(n_clusters = n_clust, init = 'k-means++', max_iter = 200, n_init = 10, random_state = 0)\ncorr_labels = kmeans.fit_predict(corr_np)","execution_count":null,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"corr_df = pd.DataFrame(np.c_[feat_names, corr_feat_labels])\ncorr_df.columns = [\"feature\", \"cluster\"]\ncorr_df['feat_list'] = corr_df.groupby([\"cluster\"]).transform(lambda x: ', '.join(x))\ncorr_df = corr_df.groupby([\"cluster\", \"feat_list\"]).size().reset_index(name = 'feat_count')\ncorr_df","execution_count":null,"outputs":[]},{"metadata":{},"cell_type":"markdown","source":""},{"metadata":{"trusted":true},"cell_type":"code","source":"PCA","execution_count":null,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"from sklearn.decomposition import PCA\npca = PCA(8).fit(features)","execution_count":20,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"pca.transform(features)","execution_count":21,"outputs":[{"output_type":"execute_result","execution_count":21,"data":{"text/plain":"array([[ 3.91936032, 2.05009504, -5.35634854, ..., -13.44575243,\n 11.4011268 , 7.64528884],\n [ -3.36608308, -3.51519741, -4.52254474, ..., -3.49807502,\n 9.20649035, -0.20657704],\n [ 1.39053627, -4.04258242, 7.39247686, ..., -12.37965557,\n 5.87381498, 6.77905011],\n ...,\n [ -3.56671825, 4.13190557, -2.88877814, ..., 5.21814739,\n -5.96572119, -4.57579313],\n [ -4.82705123, -0.16650457, 0.30139049, ..., -1.43869031,\n 0.44211902, 2.08700161],\n [ 38.66983514, -12.08962739, 4.92849465, ..., 5.52259754,\n 3.21483415, -5.56342972]])"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"df_pca_features = pd.DataFrame(pca.transform(features))","execution_count":23,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"df_pca_features.columns = ['pc'+str(i+1) for i in range(8)]\ndf_pca_features.head()","execution_count":28,"outputs":[{"output_type":"execute_result","execution_count":28,"data":{"text/plain":" pc1 pc2 pc3 pc4 pc5 pc6 \\\n0 3.919360 2.050095 -5.356349 -1.778894 11.474417 -13.445752 \n1 -3.366083 -3.515197 -4.522545 -3.608883 5.965087 -3.498075 \n2 1.390536 -4.042582 7.392477 -13.442873 9.872008 -12.379656 \n3 0.588087 -9.675866 7.397655 -12.397789 4.613604 -5.492358 \n4 -2.278649 2.048098 -5.529037 -2.650169 7.692906 -7.876209 \n... ... ... ... ... ... ... \n2390486 -5.134975 6.541348 -1.437725 9.159702 -3.022633 9.679230 \n2390487 64.907324 7.726725 0.102645 10.930060 -2.780035 12.650852 \n2390488 -3.566718 4.131906 -2.888778 4.670601 -1.677192 5.218147 \n2390489 -4.827051 -0.166505 0.301390 36.947510 1.398295 -1.438690 \n2390490 38.669835 -12.089627 4.928495 -1.101531 0.272419 5.522598 \n\n pc7 pc8 \n0 11.401127 7.645289 \n1 9.206490 -0.206577 \n2 5.873815 6.779050 \n3 0.380143 2.447843 \n4 5.243548 3.283144 \n... ... ... \n2390486 9.105338 -5.777054 \n2390487 6.224900 2.475495 \n2390488 -5.965721 -4.575793 \n2390489 0.442119 2.087002 \n2390490 3.214834 -5.563430 \n\n[2390491 rows x 8 columns]","text/html":"<div>\n<style scoped>\n .dataframe tbody tr th:only-of-type {\n vertical-align: middle;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n\n .dataframe thead th {\n text-align: right;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>pc1</th>\n <th>pc2</th>\n <th>pc3</th>\n <th>pc4</th>\n <th>pc5</th>\n <th>pc6</th>\n <th>pc7</th>\n <th>pc8</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>3.919360</td>\n <td>2.050095</td>\n <td>-5.356349</td>\n <td>-1.778894</td>\n <td>11.474417</td>\n <td>-13.445752</td>\n <td>11.401127</td>\n <td>7.645289</td>\n </tr>\n <tr>\n <th>1</th>\n <td>-3.366083</td>\n <td>-3.515197</td>\n <td>-4.522545</td>\n <td>-3.608883</td>\n <td>5.965087</td>\n <td>-3.498075</td>\n <td>9.206490</td>\n <td>-0.206577</td>\n </tr>\n <tr>\n <th>2</th>\n <td>1.390536</td>\n <td>-4.042582</td>\n <td>7.392477</td>\n <td>-13.442873</td>\n <td>9.872008</td>\n <td>-12.379656</td>\n <td>5.873815</td>\n <td>6.779050</td>\n </tr>\n <tr>\n <th>3</th>\n <td>0.588087</td>\n <td>-9.675866</td>\n <td>7.397655</td>\n <td>-12.397789</td>\n <td>4.613604</td>\n <td>-5.492358</td>\n <td>0.380143</td>\n <td>2.447843</td>\n </tr>\n <tr>\n <th>4</th>\n <td>-2.278649</td>\n <td>2.048098</td>\n <td>-5.529037</td>\n <td>-2.650169</td>\n <td>7.692906</td>\n <td>-7.876209</td>\n <td>5.243548</td>\n <td>3.283144</td>\n </tr>\n <tr>\n <th>...</th>\n <td>...</td>\n <td>...</td>\n <td>...</td>\n <td>...</td>\n <td>...</td>\n <td>...</td>\n <td>...</td>\n <td>...</td>\n </tr>\n <tr>\n <th>2390486</th>\n <td>-5.134975</td>\n <td>6.541348</td>\n <td>-1.437725</td>\n <td>9.159702</td>\n <td>-3.022633</td>\n <td>9.679230</td>\n <td>9.105338</td>\n <td>-5.777054</td>\n </tr>\n <tr>\n <th>2390487</th>\n <td>64.907324</td>\n <td>7.726725</td>\n <td>0.102645</td>\n <td>10.930060</td>\n <td>-2.780035</td>\n <td>12.650852</td>\n <td>6.224900</td>\n <td>2.475495</td>\n </tr>\n <tr>\n <th>2390488</th>\n <td>-3.566718</td>\n <td>4.131906</td>\n <td>-2.888778</td>\n <td>4.670601</td>\n <td>-1.677192</td>\n <td>5.218147</td>\n <td>-5.965721</td>\n <td>-4.575793</td>\n </tr>\n <tr>\n <th>2390489</th>\n <td>-4.827051</td>\n <td>-0.166505</td>\n <td>0.301390</td>\n <td>36.947510</td>\n <td>1.398295</td>\n <td>-1.438690</td>\n <td>0.442119</td>\n <td>2.087002</td>\n </tr>\n <tr>\n <th>2390490</th>\n <td>38.669835</td>\n <td>-12.089627</td>\n <td>4.928495</td>\n <td>-1.101531</td>\n <td>0.272419</td>\n <td>5.522598</td>\n <td>3.214834</td>\n <td>-5.563430</td>\n </tr>\n </tbody>\n</table>\n<p>2390491 rows × 8 columns</p>\n</div>"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"df_pca_features['action'] = df.ts_id.values\ndf_pca_features['weight'] = df.weight.values\ndf_pca_features['resp'] = df.resp.values\ndf_pca_features.corr().style.background_gradient(cmap='coolwarm')","execution_count":31,"outputs":[{"output_type":"execute_result","execution_count":31,"data":{"text/plain":"<pandas.io.formats.style.Styler at 0x7f4acbbf2910>","text/html":"<style type=\"text/css\" >\n#T_af539_row0_col0,#T_af539_row1_col1,#T_af539_row2_col2,#T_af539_row3_col3,#T_af539_row4_col4,#T_af539_row5_col5,#T_af539_row6_col6,#T_af539_row7_col7,#T_af539_row8_col8,#T_af539_row9_col9,#T_af539_row10_col10{\n background-color: #b40426;\n color: #f1f1f1;\n }#T_af539_row0_col1,#T_af539_row0_col6,#T_af539_row1_col6,#T_af539_row2_col1,#T_af539_row2_col6,#T_af539_row3_col1,#T_af539_row3_col6,#T_af539_row4_col1,#T_af539_row4_col6,#T_af539_row4_col10,#T_af539_row5_col1,#T_af539_row5_col6,#T_af539_row6_col1,#T_af539_row7_col1,#T_af539_row7_col6,#T_af539_row8_col1,#T_af539_row8_col5{\n background-color: #3f53c6;\n color: #f1f1f1;\n }#T_af539_row0_col2,#T_af539_row1_col2,#T_af539_row2_col8,#T_af539_row3_col2,#T_af539_row3_col8,#T_af539_row4_col2,#T_af539_row5_col2,#T_af539_row6_col2,#T_af539_row7_col2{\n background-color: #465ecf;\n color: #f1f1f1;\n }#T_af539_row0_col3,#T_af539_row0_col4,#T_af539_row1_col3,#T_af539_row1_col4,#T_af539_row2_col3,#T_af539_row2_col4,#T_af539_row2_col10,#T_af539_row3_col4,#T_af539_row4_col3,#T_af539_row5_col3,#T_af539_row5_col4,#T_af539_row6_col3,#T_af539_row6_col4,#T_af539_row7_col3,#T_af539_row7_col4,#T_af539_row10_col4{\n background-color: #455cce;\n color: #f1f1f1;\n 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color: #000000;\n }#T_af539_row8_col7{\n background-color: #5875e1;\n color: #000000;\n }#T_af539_row8_col9{\n background-color: #6e90f2;\n color: #000000;\n }#T_af539_row9_col0,#T_af539_row10_col8{\n background-color: #4f69d9;\n color: #000000;\n }#T_af539_row9_col1{\n background-color: #3d50c3;\n color: #f1f1f1;\n }#T_af539_row9_col6{\n background-color: #9bbcff;\n color: #000000;\n }#T_af539_row9_col8{\n background-color: #5b7ae5;\n color: #000000;\n }#T_af539_row10_col2{\n background-color: #4b64d5;\n color: #f1f1f1;\n }#T_af539_row10_col7{\n background-color: #6687ed;\n color: #000000;\n }</style><table id=\"T_af539_\" ><thead> <tr> <th class=\"blank level0\" ></th> <th class=\"col_heading level0 col0\" >pc1</th> <th class=\"col_heading level0 col1\" >pc2</th> <th class=\"col_heading level0 col2\" >pc3</th> <th class=\"col_heading level0 col3\" >pc4</th> <th class=\"col_heading level0 col4\" >pc5</th> <th class=\"col_heading level0 col5\" >pc6</th> <th class=\"col_heading level0 col6\" >pc7</th> <th class=\"col_heading level0 col7\" >pc8</th> <th class=\"col_heading level0 col8\" >action</th> <th class=\"col_heading level0 col9\" >weight</th> <th class=\"col_heading level0 col10\" >resp</th> </tr></thead><tbody>\n <tr>\n <th id=\"T_af539_level0_row0\" class=\"row_heading level0 row0\" >pc1</th>\n <td id=\"T_af539_row0_col0\" class=\"data row0 col0\" >1.000000</td>\n <td id=\"T_af539_row0_col1\" class=\"data row0 col1\" >0.000000</td>\n <td id=\"T_af539_row0_col2\" class=\"data row0 col2\" >-0.000000</td>\n <td id=\"T_af539_row0_col3\" class=\"data row0 col3\" >0.000000</td>\n <td id=\"T_af539_row0_col4\" class=\"data row0 col4\" >0.000000</td>\n <td id=\"T_af539_row0_col5\" class=\"data row0 col5\" >0.000000</td>\n <td id=\"T_af539_row0_col6\" class=\"data row0 col6\" >-0.000000</td>\n <td id=\"T_af539_row0_col7\" class=\"data row0 col7\" >0.000000</td>\n <td id=\"T_af539_row0_col8\" class=\"data row0 col8\" >-0.081274</td>\n <td id=\"T_af539_row0_col9\" class=\"data row0 col9\" >-0.005701</td>\n <td id=\"T_af539_row0_col10\" class=\"data row0 col10\" >0.008443</td>\n </tr>\n <tr>\n <th id=\"T_af539_level0_row1\" class=\"row_heading level0 row1\" >pc2</th>\n <td id=\"T_af539_row1_col0\" class=\"data row1 col0\" >0.000000</td>\n <td id=\"T_af539_row1_col1\" class=\"data row1 col1\" >1.000000</td>\n <td id=\"T_af539_row1_col2\" class=\"data row1 col2\" >-0.000000</td>\n <td id=\"T_af539_row1_col3\" class=\"data row1 col3\" >0.000000</td>\n <td id=\"T_af539_row1_col4\" class=\"data row1 col4\" >0.000000</td>\n <td id=\"T_af539_row1_col5\" class=\"data row1 col5\" >-0.000000</td>\n <td id=\"T_af539_row1_col6\" class=\"data row1 col6\" >0.000000</td>\n <td id=\"T_af539_row1_col7\" class=\"data row1 col7\" >0.000000</td>\n <td id=\"T_af539_row1_col8\" class=\"data row1 col8\" >-0.001348</td>\n <td id=\"T_af539_row1_col9\" class=\"data row1 col9\" >-0.011556</td>\n <td id=\"T_af539_row1_col10\" class=\"data row1 col10\" >-0.019585</td>\n </tr>\n <tr>\n <th id=\"T_af539_level0_row2\" class=\"row_heading level0 row2\" >pc3</th>\n <td id=\"T_af539_row2_col0\" class=\"data row2 col0\" >-0.000000</td>\n <td id=\"T_af539_row2_col1\" class=\"data row2 col1\" >-0.000000</td>\n <td id=\"T_af539_row2_col2\" class=\"data row2 col2\" >1.000000</td>\n <td id=\"T_af539_row2_col3\" class=\"data row2 col3\" >0.000000</td>\n <td id=\"T_af539_row2_col4\" class=\"data row2 col4\" >0.000000</td>\n <td id=\"T_af539_row2_col5\" class=\"data row2 col5\" >-0.000000</td>\n <td id=\"T_af539_row2_col6\" class=\"data row2 col6\" >0.000000</td>\n <td id=\"T_af539_row2_col7\" class=\"data row2 col7\" >0.000000</td>\n <td id=\"T_af539_row2_col8\" class=\"data row2 col8\" >-0.034978</td>\n <td id=\"T_af539_row2_col9\" class=\"data row2 col9\" >-0.040660</td>\n <td id=\"T_af539_row2_col10\" class=\"data row2 col10\" >0.019491</td>\n </tr>\n <tr>\n <th id=\"T_af539_level0_row3\" class=\"row_heading level0 row3\" >pc4</th>\n <td id=\"T_af539_row3_col0\" class=\"data row3 col0\" >0.000000</td>\n <td id=\"T_af539_row3_col1\" class=\"data row3 col1\" >0.000000</td>\n <td id=\"T_af539_row3_col2\" class=\"data row3 col2\" >0.000000</td>\n <td id=\"T_af539_row3_col3\" class=\"data row3 col3\" >1.000000</td>\n <td id=\"T_af539_row3_col4\" class=\"data row3 col4\" >0.000000</td>\n <td id=\"T_af539_row3_col5\" class=\"data row3 col5\" >-0.000000</td>\n <td id=\"T_af539_row3_col6\" class=\"data row3 col6\" >-0.000000</td>\n <td id=\"T_af539_row3_col7\" class=\"data row3 col7\" >0.000000</td>\n <td id=\"T_af539_row3_col8\" class=\"data row3 col8\" >-0.038908</td>\n <td id=\"T_af539_row3_col9\" class=\"data row3 col9\" >0.090031</td>\n <td id=\"T_af539_row3_col10\" class=\"data row3 col10\" >-0.005840</td>\n </tr>\n <tr>\n <th id=\"T_af539_level0_row4\" class=\"row_heading level0 row4\" >pc5</th>\n <td id=\"T_af539_row4_col0\" class=\"data row4 col0\" >0.000000</td>\n <td id=\"T_af539_row4_col1\" class=\"data row4 col1\" >0.000000</td>\n <td id=\"T_af539_row4_col2\" class=\"data row4 col2\" >0.000000</td>\n <td id=\"T_af539_row4_col3\" class=\"data row4 col3\" >0.000000</td>\n <td id=\"T_af539_row4_col4\" class=\"data row4 col4\" >1.000000</td>\n <td id=\"T_af539_row4_col5\" class=\"data row4 col5\" >-0.000000</td>\n <td id=\"T_af539_row4_col6\" class=\"data row4 col6\" >0.000000</td>\n <td id=\"T_af539_row4_col7\" class=\"data row4 col7\" >0.000000</td>\n <td id=\"T_af539_row4_col8\" class=\"data row4 col8\" >0.050955</td>\n <td id=\"T_af539_row4_col9\" class=\"data row4 col9\" >-0.038526</td>\n <td id=\"T_af539_row4_col10\" class=\"data row4 col10\" >0.000231</td>\n </tr>\n <tr>\n <th id=\"T_af539_level0_row5\" class=\"row_heading level0 row5\" >pc6</th>\n <td id=\"T_af539_row5_col0\" class=\"data row5 col0\" >0.000000</td>\n <td id=\"T_af539_row5_col1\" class=\"data row5 col1\" >-0.000000</td>\n <td id=\"T_af539_row5_col2\" class=\"data row5 col2\" >-0.000000</td>\n <td id=\"T_af539_row5_col3\" class=\"data row5 col3\" >-0.000000</td>\n <td id=\"T_af539_row5_col4\" class=\"data row5 col4\" >-0.000000</td>\n <td id=\"T_af539_row5_col5\" class=\"data row5 col5\" >1.000000</td>\n <td id=\"T_af539_row5_col6\" class=\"data row5 col6\" >-0.000000</td>\n <td id=\"T_af539_row5_col7\" class=\"data row5 col7\" >-0.000000</td>\n <td id=\"T_af539_row5_col8\" class=\"data row5 col8\" >0.011565</td>\n <td id=\"T_af539_row5_col9\" class=\"data row5 col9\" >0.124907</td>\n <td id=\"T_af539_row5_col10\" class=\"data row5 col10\" >-0.004244</td>\n </tr>\n <tr>\n <th id=\"T_af539_level0_row6\" class=\"row_heading level0 row6\" >pc7</th>\n <td id=\"T_af539_row6_col0\" class=\"data row6 col0\" >-0.000000</td>\n <td id=\"T_af539_row6_col1\" class=\"data row6 col1\" >0.000000</td>\n <td id=\"T_af539_row6_col2\" class=\"data row6 col2\" >0.000000</td>\n <td id=\"T_af539_row6_col3\" class=\"data row6 col3\" >-0.000000</td>\n <td id=\"T_af539_row6_col4\" class=\"data row6 col4\" >0.000000</td>\n <td id=\"T_af539_row6_col5\" class=\"data row6 col5\" >-0.000000</td>\n <td id=\"T_af539_row6_col6\" class=\"data row6 col6\" >1.000000</td>\n <td id=\"T_af539_row6_col7\" class=\"data row6 col7\" >0.000000</td>\n <td id=\"T_af539_row6_col8\" class=\"data row6 col8\" >-0.004889</td>\n <td id=\"T_af539_row6_col9\" class=\"data row6 col9\" >0.279029</td>\n <td id=\"T_af539_row6_col10\" class=\"data row6 col10\" >-0.017698</td>\n </tr>\n <tr>\n <th id=\"T_af539_level0_row7\" class=\"row_heading level0 row7\" >pc8</th>\n <td id=\"T_af539_row7_col0\" class=\"data row7 col0\" >0.000000</td>\n <td id=\"T_af539_row7_col1\" class=\"data row7 col1\" >0.000000</td>\n <td id=\"T_af539_row7_col2\" class=\"data row7 col2\" >0.000000</td>\n <td id=\"T_af539_row7_col3\" class=\"data row7 col3\" >0.000000</td>\n <td id=\"T_af539_row7_col4\" class=\"data row7 col4\" >0.000000</td>\n <td id=\"T_af539_row7_col5\" class=\"data row7 col5\" >-0.000000</td>\n <td id=\"T_af539_row7_col6\" class=\"data row7 col6\" >0.000000</td>\n <td id=\"T_af539_row7_col7\" class=\"data row7 col7\" >1.000000</td>\n <td id=\"T_af539_row7_col8\" class=\"data row7 col8\" >-0.044492</td>\n <td id=\"T_af539_row7_col9\" class=\"data row7 col9\" >-0.153781</td>\n <td id=\"T_af539_row7_col10\" class=\"data row7 col10\" >0.007588</td>\n </tr>\n <tr>\n <th id=\"T_af539_level0_row8\" class=\"row_heading level0 row8\" >action</th>\n <td id=\"T_af539_row8_col0\" class=\"data row8 col0\" >-0.081274</td>\n <td id=\"T_af539_row8_col1\" class=\"data row8 col1\" >-0.001348</td>\n <td id=\"T_af539_row8_col2\" class=\"data row8 col2\" >-0.034978</td>\n <td id=\"T_af539_row8_col3\" class=\"data row8 col3\" >-0.038908</td>\n <td id=\"T_af539_row8_col4\" class=\"data row8 col4\" >0.050955</td>\n <td id=\"T_af539_row8_col5\" class=\"data row8 col5\" >0.011565</td>\n <td id=\"T_af539_row8_col6\" class=\"data row8 col6\" >-0.004889</td>\n <td id=\"T_af539_row8_col7\" class=\"data row8 col7\" >-0.044492</td>\n <td id=\"T_af539_row8_col8\" class=\"data row8 col8\" >1.000000</td>\n <td id=\"T_af539_row8_col9\" class=\"data row8 col9\" >0.034532</td>\n <td id=\"T_af539_row8_col10\" class=\"data row8 col10\" >-0.007526</td>\n </tr>\n <tr>\n <th id=\"T_af539_level0_row9\" class=\"row_heading level0 row9\" >weight</th>\n <td id=\"T_af539_row9_col0\" class=\"data row9 col0\" >-0.005701</td>\n <td id=\"T_af539_row9_col1\" class=\"data row9 col1\" >-0.011556</td>\n <td id=\"T_af539_row9_col2\" class=\"data row9 col2\" >-0.040660</td>\n <td id=\"T_af539_row9_col3\" class=\"data row9 col3\" >0.090031</td>\n <td id=\"T_af539_row9_col4\" class=\"data row9 col4\" >-0.038526</td>\n <td id=\"T_af539_row9_col5\" class=\"data row9 col5\" >0.124907</td>\n <td id=\"T_af539_row9_col6\" class=\"data row9 col6\" >0.279029</td>\n <td id=\"T_af539_row9_col7\" class=\"data row9 col7\" >-0.153781</td>\n <td id=\"T_af539_row9_col8\" class=\"data row9 col8\" >0.034532</td>\n <td id=\"T_af539_row9_col9\" class=\"data row9 col9\" >1.000000</td>\n <td id=\"T_af539_row9_col10\" class=\"data row9 col10\" >-0.006948</td>\n </tr>\n <tr>\n <th id=\"T_af539_level0_row10\" class=\"row_heading level0 row10\" >resp</th>\n <td id=\"T_af539_row10_col0\" class=\"data row10 col0\" >0.008443</td>\n <td id=\"T_af539_row10_col1\" class=\"data row10 col1\" >-0.019585</td>\n <td id=\"T_af539_row10_col2\" class=\"data row10 col2\" >0.019491</td>\n <td id=\"T_af539_row10_col3\" class=\"data row10 col3\" >-0.005840</td>\n <td id=\"T_af539_row10_col4\" class=\"data row10 col4\" >0.000231</td>\n <td id=\"T_af539_row10_col5\" class=\"data row10 col5\" >-0.004244</td>\n <td id=\"T_af539_row10_col6\" class=\"data row10 col6\" >-0.017698</td>\n <td id=\"T_af539_row10_col7\" class=\"data row10 col7\" >0.007588</td>\n <td id=\"T_af539_row10_col8\" class=\"data row10 col8\" >-0.007526</td>\n <td id=\"T_af539_row10_col9\" class=\"data row10 col9\" >-0.006948</td>\n <td id=\"T_af539_row10_col10\" class=\"data row10 col10\" >1.000000</td>\n </tr>\n </tbody></table>"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"","execution_count":null,"outputs":[]}],"metadata":{"kernelspec":{"name":"python3","display_name":"Python 3","language":"python"},"language_info":{"name":"python","version":"3.7.9","mimetype":"text/x-python","codemirror_mode":{"name":"ipython","version":3},"pygments_lexer":"ipython3","nbconvert_exporter":"python","file_extension":".py"}},"nbformat":4,"nbformat_minor":4}