{"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)\n\nimport matplotlib.pyplot as plt\nimport matplotlib.colors as colors\nimport matplotlib.cm as cmx\nimport seaborn as sns\nsns.set()\n\nimport os\nprint(os.listdir(\"../input\"))\n\nfrom sklearn.model_selection import GroupKFold\nfrom sklearn.preprocessing import LabelEncoder\nfrom sklearn.ensemble import RandomForestRegressor\n\ntrain = pd.read_csv('../input/train.csv', index_col='id')\ntest = pd.read_csv('../input/test.csv', index_col='id')\n\nstructures = pd.read_csv('../input/structures.csv')\n\ndef map_atom_info(df, atom_idx):\n    df = pd.merge(df, structures, how = 'left',\n                  left_on  = ['molecule_name', f'atom_index_{atom_idx}'],\n                  right_on = ['molecule_name',  'atom_index'])\n    \n    df = df.drop('atom_index', axis=1)\n    df = df.rename(columns={'atom': f'atom_{atom_idx}',\n                            'x': f'x_{atom_idx}',\n                            'y': f'y_{atom_idx}',\n                            'z': f'z_{atom_idx}'})\n    return df\n\ntrain = map_atom_info(train, 0)\ntrain = map_atom_info(train, 1)\n\ntest = map_atom_info(test, 0)\ntest = map_atom_info(test, 1)","execution_count":26,"outputs":[{"output_type":"stream","text":"['potential_energy.csv', 'mulliken_charges.csv', 'train.csv', 'scalar_coupling_contributions.csv', 'sample_submission.csv', 'structures', 'test.csv', 'magnetic_shielding_tensors.csv', 'dipole_moments.csv', 'structures.csv']\n","name":"stdout"},{"output_type":"stream","text":"/opt/conda/lib/python3.6/site-packages/numpy/lib/arraysetops.py:569: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n  mask |= (ar1 == a)\n","name":"stderr"}]},{"metadata":{"_cell_guid":"79c7e3d0-c299-4dcb-8224-4455121ee9b0","_uuid":"d629ff2d2480ee46fbb7e2d37f6b5fab8052498a","trusted":true},"cell_type":"code","source":"%%time\n# This block is SPPED UP\n\ntrain_p_0 = train[['x_0', 'y_0', 'z_0']].values\ntrain_p_1 = train[['x_1', 'y_1', 'z_1']].values\ntest_p_0 = test[['x_0', 'y_0', 'z_0']].values\ntest_p_1 = test[['x_1', 'y_1', 'z_1']].values\n\ntrain['dist_speedup'] = np.linalg.norm(train_p_0 - train_p_1, axis=1)\ntest['dist_speedup'] = np.linalg.norm(test_p_0 - test_p_1, axis=1)","execution_count":27,"outputs":[{"output_type":"stream","text":"CPU times: user 352 ms, sys: 140 ms, total: 492 ms\nWall time: 486 ms\n","name":"stdout"}]},{"metadata":{"trusted":true},"cell_type":"code","source":"train.head(5)","execution_count":28,"outputs":[{"output_type":"execute_result","execution_count":28,"data":{"text/plain":"      molecule_name  atom_index_0     ...            z_1 dist_speedup\n0  dsgdb9nsd_000001             1     ...       0.008001     1.091953\n1  dsgdb9nsd_000001             1     ...       0.000277     1.783120\n2  dsgdb9nsd_000001             1     ...      -0.876644     1.783147\n3  dsgdb9nsd_000001             1     ...       0.906397     1.783157\n4  dsgdb9nsd_000001             2     ...       0.008001     1.091952\n\n[5 rows x 14 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>molecule_name</th>\n      <th>atom_index_0</th>\n      <th>atom_index_1</th>\n      <th>type</th>\n      <th>scalar_coupling_constant</th>\n      <th>atom_0</th>\n      <th>x_0</th>\n      <th>y_0</th>\n      <th>z_0</th>\n      <th>atom_1</th>\n      <th>x_1</th>\n      <th>y_1</th>\n      <th>z_1</th>\n      <th>dist_speedup</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>dsgdb9nsd_000001</td>\n      <td>1</td>\n      <td>0</td>\n      <td>1JHC</td>\n      <td>84.8076</td>\n      <td>H</td>\n      <td>0.002150</td>\n      <td>-0.006031</td>\n      <td>0.001976</td>\n      <td>C</td>\n      <td>-0.012698</td>\n      <td>1.085804</td>\n      <td>0.008001</td>\n      <td>1.091953</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>dsgdb9nsd_000001</td>\n      <td>1</td>\n      <td>2</td>\n      <td>2JHH</td>\n      <td>-11.2570</td>\n      <td>H</td>\n      <td>0.002150</td>\n      <td>-0.006031</td>\n      <td>0.001976</td>\n      <td>H</td>\n      <td>1.011731</td>\n      <td>1.463751</td>\n      <td>0.000277</td>\n      <td>1.783120</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>dsgdb9nsd_000001</td>\n      <td>1</td>\n      <td>3</td>\n      <td>2JHH</td>\n      <td>-11.2548</td>\n      <td>H</td>\n      <td>0.002150</td>\n      <td>-0.006031</td>\n      <td>0.001976</td>\n      <td>H</td>\n      <td>-0.540815</td>\n      <td>1.447527</td>\n      <td>-0.876644</td>\n      <td>1.783147</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>dsgdb9nsd_000001</td>\n      <td>1</td>\n      <td>4</td>\n      <td>2JHH</td>\n      <td>-11.2543</td>\n      <td>H</td>\n      <td>0.002150</td>\n      <td>-0.006031</td>\n      <td>0.001976</td>\n      <td>H</td>\n      <td>-0.523814</td>\n      <td>1.437933</td>\n      <td>0.906397</td>\n      <td>1.783157</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>dsgdb9nsd_000001</td>\n      <td>2</td>\n      <td>0</td>\n      <td>1JHC</td>\n      <td>84.8074</td>\n      <td>H</td>\n      <td>1.011731</td>\n      <td>1.463751</td>\n      <td>0.000277</td>\n      <td>C</td>\n      <td>-0.012698</td>\n      <td>1.085804</td>\n      <td>0.008001</td>\n      <td>1.091952</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"train['same_atom'] = (train['atom_0'] == train['atom_1']).astype('int')","execution_count":29,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"train_part = train.loc[:10000]","execution_count":34,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"train.plot.scatter(x = 'dist_speedup', y = 'scalar_coupling_constant', c = 'same_atom',\n                       cmap = 'summer', alpha = 0.4)\nplt.show()","execution_count":40,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 2 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"list_type = list(set(train['type']))\ncNorm  = colors.Normalize(vmin=0, vmax=len(list_type))\ncmap_plot = plt.get_cmap('Set1')\nscalarMap = cmx.ScalarMappable(norm=cNorm, cmap=cmap_plot)\n\nfor i in range(len(list_type)):\n    indx = train['type'] == list_type[i]\n    plt.scatter(x = train.loc[indx, 'dist_speedup'], y = train.loc[indx, 'scalar_coupling_constant'],\n               color = scalarMap.to_rgba(i), label = list_type[i], alpha = 0.4)\n    \nplt.xlabel('dist_speedup')\nplt.ylabel('scalar_coupling_constant')\nplt.legend(loc='upper right')\nplt.show()","execution_count":41,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"## It turns out very segmented pattern!\n## Hope its helps"},{"metadata":{"trusted":true},"cell_type":"code","source":"","execution_count":null,"outputs":[]}],"metadata":{"kernelspec":{"display_name":"Python 3","language":"python","name":"python3"},"language_info":{"name":"python","version":"3.6.4","mimetype":"text/x-python","codemirror_mode":{"name":"ipython","version":3},"pygments_lexer":"ipython3","nbconvert_exporter":"python","file_extension":".py"}},"nbformat":4,"nbformat_minor":1}