{"cells":[{"metadata":{"_uuid":"8f2839f25d086af736a60e9eeb907d3b93b6e0e5","_cell_guid":"b1076dfc-b9ad-4769-8c92-a6c4dae69d19","trusted":true},"cell_type":"code","source":"# This Python 3 environment comes with many helpful analytics libraries installed\n# It is defined by the kaggle/python docker image: https://github.com/kaggle/docker-python\n# For example, here's several helpful packages to load in \n\nimport numpy as np # linear algebra\nimport pandas as pd # data processing, CSV file I/O (e.g. pd.read_csv)\nfrom pathlib import Path\n\n# Input data files are available in the \"../input/\" directory.\n# For example, running this (by clicking run or pressing Shift+Enter) will list the files in the input directory\n\nimport os\nprint(os.listdir(\"../input\"))\n\n# Any results you write to the current directory are saved as output.","execution_count":1,"outputs":[{"output_type":"stream","text":"['lanl_earthquake_mels', 'LANL-Earthquake-Prediction']\n","name":"stdout"}]},{"metadata":{"_cell_guid":"79c7e3d0-c299-4dcb-8224-4455121ee9b0","_uuid":"d629ff2d2480ee46fbb7e2d37f6b5fab8052498a","trusted":true},"cell_type":"code","source":"DATA = Path('../input/LANL-Earthquake-Prediction')\nPREPROCESSED = Path('../input/lanl_earthquake_mels')\nWORK = Path('work')\nPath(WORK).mkdir(exist_ok=True, parents=True)\n\nALL_X_TRAIN = str(PREPROCESSED/'X_train_all.npy')\nALL_X_TEST = str(PREPROCESSED/'X_test_all.npy')\nCSV_TRAIN = str(PREPROCESSED/'train_data.csv')\nCSV_SUBMISSION = DATA/'sample_submission.csv'\n\nTEST_FILES = sorted(list((DATA/'test').glob('*.csv')))\nN_TESTS = len(TEST_FILES)\n\nTEST_LEN = 150_000\nTRAIN_LEN = 629_145_480\nFs = 4_000_000\n\nIMG_DIM = 128\nMELS_LEN  = 40000\nMELS_STEP = MELS_LEN // 34 # to make it IMG_DIM squared\n\nSEGMENT_DIV  = 15\nSEGMENT_LEN  = TEST_LEN\nSEGMENT_STEP = SEGMENT_LEN // SEGMENT_DIV\nTRAIN_SEGS = (TRAIN_LEN // SEGMENT_STEP) - SEGMENT_DIV + 1","execution_count":2,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"import gc\nimport os\nimport time\nimport logging\nimport datetime\nimport warnings\nimport pickle\nimport numpy as np\nimport pandas as pd\nimport seaborn as sns\nimport xgboost as xgb\nimport lightgbm as lgb\nfrom scipy import stats\nfrom scipy.signal import hann\nfrom tqdm import tqdm_notebook\nimport matplotlib.pyplot as plt\nfrom scipy.signal import hilbert\nfrom scipy.signal import convolve\nfrom sklearn.svm import NuSVR, SVR\nfrom catboost import CatBoostRegressor\nfrom sklearn.kernel_ridge import KernelRidge\nfrom sklearn.metrics import mean_squared_error\nfrom sklearn.preprocessing import LabelEncoder\nfrom sklearn.metrics import mean_absolute_error\nfrom sklearn.preprocessing import StandardScaler\nfrom sklearn.linear_model import LinearRegression\nfrom sklearn.model_selection import KFold,StratifiedKFold, RepeatedKFold\nwarnings.filterwarnings(\"ignore\")\n\ndef load_pkl(filename):\n    \"\"\"Load pickle object from file.\"\"\"\n    with open(filename, 'rb') as f:\n        return pickle.load(f)","execution_count":3,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"X_train = load_pkl(ALL_X_TRAIN)\nX_test = load_pkl(ALL_X_TEST)\ndf = pd.read_csv(CSV_TRAIN)\ndf.head()","execution_count":4,"outputs":[{"output_type":"execute_result","execution_count":4,"data":{"text/plain":"   seg       ttf  valid\n0    0  1.430797   True\n1    1  1.427600   True\n2    2  1.425498   True\n3    3  1.423396   True\n4    4  1.420198   True","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>seg</th>\n      <th>ttf</th>\n      <th>valid</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>0</td>\n      <td>1.430797</td>\n      <td>True</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>1</td>\n      <td>1.427600</td>\n      <td>True</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>2</td>\n      <td>1.425498</td>\n      <td>True</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>3</td>\n      <td>1.423396</td>\n      <td>True</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>4</td>\n      <td>1.420198</td>\n      <td>True</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"fig, axes = plt.subplots(1, 2, figsize=(10,4))\nfor ax, plotee in zip(axes.flat, [X_train[0], np.diff(X_train[0], axis=-1)]):\n    ax.imshow(plotee)","execution_count":7,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 720x288 with 2 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"fig, axes = plt.subplots(3, 1, figsize=(10,6))\nfor ax, plotee in zip(axes.flat,\n              [X_train[0].std(axis=-1),  # Variance\n               X_train[0].mean(axis=-1), # Mean\n               np.diff(X_train[0], axis=-1).sum(axis=-1) # Naive Trend --> Useless...\n              ]):\n    ax.plot(plotee)","execution_count":8,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 720x432 with 3 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"def trend(x):\n    half = x.shape[1] // 2\n    # 1. NG: Naive trend # np.diff(X2d, axis=-1).sum(axis=-1)\n    # 2. NG: Simple trend\n    #   t0 = x[:, :half].mean(axis=-1)\n    #   t1 = x[:, half:].mean(axis=-1)\n    # 3. Variance trend\n    t0 = x[:, :half].std(axis=-1)\n    t1 = x[:, half:].std(axis=-1)\n    return t1 - t0\ndef standardize(x):\n    x -= x.mean()\n    x /= x.std() + 1e-6\n    return x\ndef fft_raw_to_3features(X2d):\n    x = np.r_[standardize(X2d.std(axis=-1)),  # Variance\n              standardize(X2d.mean(axis=-1)), # Mean\n              standardize(trend(X2d))         # Trend\n             ]\n    return x\n\nplt.plot(fft_raw_to_3features(X_train[0]))","execution_count":9,"outputs":[{"output_type":"execute_result","execution_count":9,"data":{"text/plain":"[<matplotlib.lines.Line2D at 0x7fa4da0100b8>]"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"iVBORw0KGgoAAAANSUhEUgAAAXoAAAD8CAYAAAB5Pm/hAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAIABJREFUeJztnXmYHFW5/7+nq/fZZzIzWSZkyJ4QskDCvsm+KRcFATdwuehPRVG8XhRF5V4R9F5370VEUFEuuKHIKkuULQSykZ3sy2SdTGaf6aWqzu+PqlN9qrt6pme6erq6836eJ09meqqrT1dXf+ut7/ue9zDOOQiCIIjyxVfsARAEQRCFhYSeIAiizCGhJwiCKHNI6AmCIMocEnqCIIgyh4SeIAiizCGhJwiCKHNI6AmCIMocEnqCIIgyx1+MFx03bhxvbW0txksTBEGULCtXrjzCOW8c6fOKIvStra1YsWJFMV6aIAiiZGGM7R7N88i6IQiCKHNI6AmCIMocEnqCIIgyh4SeIAiizCGhJwiCKHNI6AmCIMocEnqCIIgyh4SeyJtl2zuw7XBfsYdBEEQWijJhiigvbvjFGwCAXfdcUeSREAThBEX0BEEQZQ4JPUEQRJnjitAzxmoZY39kjG1mjG1ijJ3uxn4JgiCI/HHLo/8RgGc559cwxoIAoi7tlyAIgsiTvIWeMVYD4BwANwEA5zwBIJHvfgmCIAh3cMO6OR5AO4CHGGOrGWMPMMYqXNgvQRAE4QJuCL0fwEkA/pdzvghAP4Db0zdijN3MGFvBGFvR3t7uwssSXoNzXuwhEAThgBtC3wagjXO+3Pz9jzCE3wbn/H7O+WLO+eLGxhEvkEKUAAlNL/YQCIJwIG+h55wfBLCXMTbLfOgCABvz3S9RevTHtWIPgSAIB9yqurkFwO/MipsdAD7q0n6JEqI/rqK+IljsYRAEkYYrQs85XwNgsRv7IkqXgQRF9AThRWhmLOEa/Qm12EMgCMIBEnrCNQbIoycIT0JCT7gGRfQE4U1I6AnX6I+T0BOEFyGhJ1yDhJ4gvAkJPeEaCY1mxhKEFyGhJ1yDWiAQhDchoSdcQyehJwhPQkJPuIZOOk8QnoSEnnANiugJwpuQ0BOuQTpPEN6EhJ5wDZ28G4LwJCT0RN4wZvxPOk8Q3oSEnnANjbwbgvAkJPRE3gh9pzp6gvAmJPSEa1DVDUF4ExJ6Ii/kKJ48eoLwJiT0RF7IQTxF9AThTUjoibyQxZ10niC8CQk9kReytlMdPUF4ExJ6Ii/s1k3xxkEQRHZI6Im84JCTsaT0BOFFSOiJvKBkLEF4HxJ6Ii9I6AnC+5DQE3lht26KOBCCILJCQk/khRzEUwsEgvAmJPREXsh2ja4XcSAEQWSFhJ7IC1sdPUX0BOFJSOiJvKA6eoLwPiT0RH5Q1Q1BeB4SeiIvbB49CT1BeBISeiIv7B590YZBEMQQkNATecEpoicIz0NCT+SFLO1UR08Q3sQ1oWeMKYyx1YyxJ93aJ+F9qI6eILyPmxH95wFscnF/RClAVTcE4XlcEXrGWAuAKwA84Mb+iNKBkrEE4X3ciuh/CODLALLevDPGbmaMrWCMrWhvb3fpZYliQ71uCML75C30jLErARzmnK8cajvO+f2c88Wc88WNjY35vizhEWS7RiOhJwhP4kZEfyaA9zDGdgF4FMD5jLHfurBfogQg64YgvE/eQs85/wrnvIVz3grgegAvcc4/lPfIiJJAtmvIuiEIb0J19ERe0ApTBOF9/G7ujHP+DwD/cHOfhLexCT3V0ROEJ6GInsgL+1KCFNEThBchoSfywl5eWbxxEASRHRJ6Ii9ohSmC8D4k9EReUB09QXgfEnoiL2gpQYLwPiT0RJ5QHT1BeB0SeiIvqI6eILwPCT2RFzrV0ROE5yGhJ/KC6ugJwvuQ0BN5QXX0xxYvbDyE36/YW+xhECPE1RYIxLGHEHcfo4j+WOATv1kBAHj/4slFHgkxEiiiJ/JCWDd+n4+EniA8Cgk9kRdWRO+jOnqC8Cok9EReCKGniJ4gvAsJPZEXwrohj54gvAsJPZEXVkSv+KiOniA8Cgk9kRciivcxRi0QCMKjkNATeSGkXaFkLEF4FhJ6Ii9EEK8wRh49QXgUEnoiTwxxVxRGET1RdJKajm/9bQPae+PFHoqnIKEn8kKniJ7wEK9sbcdDr+3C1/+yvthD8RRlJ/SxpIakRuUfY4Vl3fhI6IniwxgDAAwktSKPxFuUvND/c0s7Vu/ptH6f/fVn8e6fvFrEER1biEobxcegk3dDFJmgYkhaUqVgT6bkhf47T2/Cj1/cants88HeIo3m2CNVdeOj7pXHEF69qAf9ptDTXb2NkhT67e19aL39KSzf0YGkpqNrMFnsIR2z6FZETzNjjyW8uhA8M/8nobdTkkL/8pZ2AMAz6w9C1Tm6SeiLhy0ZW9yhEO7RNZCANsQHOtTfiolqjitO1o2NkhT6QTPREg4oUDWO7gES+mIhvu4+SsaWDXFVw9nfXYo/r2rLuo3qUaEXFyCK6O2UpNDHEobQRwIKkpqO7sEkTb8vEqnulYw8+jIhltTRG1Nx2KxF74uraL39KTz02k5rG69H9AkSehslKfQioo8EfVB1DlXn6E9QOVUxkHvdUERfHqimSIqo+HBPDADw69d3Wdt4Veg1s7NeUvXm+IpFSQt92IzoAaB7MGmdoMTYkaq6YZ5N0BEjQ4i4qtk/T1GjDgCqR1uVJjWybpwoTaFPGB8iQ+pk7BpIWB+yE14tByt15Dp6zkEWWhmQFD63KeZOn6hHdd66SJF1Y6ckhT5mRvRJjVuRRfdgMuuH+8rWdkz96tPYsL97zMZ4rCBEwO8zoj3S+dJH07JE9NLPXo3oVUrGOlKSQi+sG1XXrSi+eyCJRJaSqifW7AcArG0joXcbOaIHqJa+HBCRvLBCnT5Sr3v02bTgWCVvoWeMTWaMLWWMbWSMbWCMfd6NgQ3FoJl4jSdTH2bXYDLrVbw3pgIAqsOBQg/tmMNaHJwJoS/iYEqIJ97ej+c3Hir2MByxShTN/62LtxTSe7W8UtyFeHR4RcPvwj5UALdxzlcxxqoArGSMPc853+jCvh0REX1MTVXadA8h9D0xo85eRJ2Ee8hNzQCK6HPlc/+3GgCw654rijySTMT3KN3Ckb89Xs15efVOo9jkHdFzzg9wzleZP/cC2ARgUr77HYr+uBGhi6QsAHQNYd2IiD6uUgmm28hVNwB59Lngdf9YS0vGOomnZyN6j46r2Ljq0TPGWgEsArDczf2mI4R7MGmP6LMlY0VEL1s9hDvo5NGPmL1HB4o9hCFJpkXyIvEql1d6NXKWx+XVMRYD14SeMVYJ4E8AbuWc9zj8/WbG2ArG2Ir29va8XqvXFO6YTegTWSP6HrMXTowieteRlxIEvNvsykvsaO+3fvZi0tCqox8ioveqiMp3S4PUk97CFaFnjAVgiPzvOOd/dtqGc34/53wx53xxY2PjqF+L89Qs2MFEukefOvm6BhJY+s5hAJJ1QxF9AbBH9JwO8bDsPJIS+qP9iTF//VhSG9LGFAJvRfZ6pkfvVYtEvgAN0mx5CzeqbhiAXwLYxDn/fv5DGhr5/JKv2F0D9mTsTQ+9hY8+9BaO9MWtkzJGV3jXsXrdKGTd5Moeybo50jf2a5vO/vqzOPOepVn/blk2mm77Xf5kvRrRqyT0jrgR0Z8J4MMAzmeMrTH/Xe7Cfh2xXbFN4VZ8zPDopdvgtW1dAIzIXkDWjfuIjyNVXulNAfAS8voJxRD64V43Zd3YLRz5s/XqhClZH5IeHWMxyLu8knP+Kux3dQVFPtlEhF5fETQmTEkRvfi8e0zbBrBbNx19cWw51IfTpzUUeMTlDU+zbjwa6HmKroEE6iuCONqfQEff2Fs3w5FMa2omxFMuqfSqhqqUjHWk5GbGyh+eEPqGiiB646qjNdMjRU9yRP+bZbvxkQeXe77UzeukT5iiXjfD0z2YxLTGCgBAR39xIvqhSG9qJsRT1k3vRvSpcdF3O0XpCT3PtG4aq0IAgCMO0VFvloi+N6YiqfGiJMPKifReNxREDU/3YBITayMIKj4c7ffeojmppmbG/1ZEz70fLVNE70zJCb1uS7YYwt1QEQQAtPdmRkeihh4AYqpceqVmfQ6RO9TrZuR0DSRRGwmgIqRYk/+8hJbW60aIp/zRelVENanyzquVQcWg5ITeyboZV2lE9E6ibY/oU9aNyMgXKxlWLljWDQl9Tug6R08siZpoEJVhP/o8KPTpE6Y0h2SsV4VeFvf07pvHMqUn9A7WzTjTujncG8vYXnj0Qb8vLaI3nuvFZFgpYSVjRdUN2aIZ9MdV7OkwSip7Yyo4B2oiAVQEvSn06S0QklqmdePVaFnOHXg1j1AMSk7o5c9OnJATayMAgH2dgxnbi4i+LhqwRfQDFNG7AjU1G567/rYR53xvKdo6B9A1aAQWtZEAKkP+MbduclmFLb1+XnNIxnr1c9Yoonek5ITeaYr9xJowAKCty0nojYi+NhK0RfTC9iGhzw/xvfKT0GdlwwFjHYQfvrAVXQPm+RgNoKIIQp/LyktW/XyaR6+XgIjK4/KqvVQMSk/oHU6waNCPmkjAsW+IqKOvSYvoBy2hJ+smH0Qy1kdVN1kR4rOurRvdppVYEwmgMuxH71gLfQ69dcR4raobrXQ8etuEKSqvtCg9oXeIGP0KQ5Pp06cjIvq6aABx6SQn68YdMtsUe1MAigXn3Gp5sL970JoVWxMJoDJYhIg+F6HPFtHzzG28BpVXOlN6Qu/w4fl9DE3VzkLfM6iCMWN1KTmij5lCT+WVeZJh3RRxLB6koz+BgYSGCTVh9MZUbD3UCwAYXxM2rZuxbcsRzymiz+bRSyLq0Qu6vQWCN8dYDEpO6MXJJrXGRkDxoakq7Lh9byyJsF9BOKA4Vt2QdZMf4vOgXjfOiGj+1OPrAQBv7OhAfUUQVeGAVV45lqs15ST0aVU3jnX0RbRFOvri+Orj6xxnwqu6jnDAkDWNqm4sSk7oxRU75E8NfSjrpiemIhJUEPL7HKtujvbH6RYvD9KtGxL6FK9uPYLn1h8EAJwxbRwA4K1dnTiuPgoAqAwpAICBMeiqquscD7yyA50DmYHNQMLePkTV7RG96rHyyruf3oxHlu/Bs+axldF0jpDfOK5JjyaMi4Eba8aOKSmhVxAzWxr4fT60mF+edPriKiZFIggHFPQnNPx+xV5cc1IL4qqOumgAnQNJdA0k0FDpfKEghiZjwhQFUQAMb/5DvzQWWpvaWIEzpqea5wmhrwgZX7/+uIrKUGG/iqv3duI/n9pkVajJzL3zOUyqjeC1288HIHet5OCcp2bKyk3NinhBH0gYeY2AkhmnJjWOcMCH7kHy6GVKLqIXJ5gc0QcUhmtPbsGvP3YKHrppScZzQgGfVWv/9b+st5qbTTa/cOVi37y16yje2nV0TBOiYsIUlVfaOSzlfj5z3nQ0V6cEdkqDiOgNcZdnbxcKEeXu786cVAgA+6TSZDWtjYAQeDmRW8yIXthPwqKR0XSOcMB4r15NGBeDkhN6cZUWHyYA+BUfwgEF585sxLTGyoznRAIKrlsyGZ88dyriqm4lYCfXCaEv/YRsbyyJa+9bhmvvW4Y3dhwds9cV3yWybuwIb/6nH1iE953cgoDiw2XzxgNIBRiVUkRfaEZSapg+6chxKcEi2iLCZhIXLxlV1xE2H89lctixQskJvVNEL6JJAAj4M1vjRwIKFB/D4ilGQmzdPmMCS0u9EeWXh9CnxOIfWw6P3QuLpmaUjLWx22x5cMLEGuuxn9ywCD+6fiGunD8BgN26KTQjiW7li0JS1x2fW8xoWQg9h8MFSOcIWclYOhcFJSf04hy0RfSS0Pt9mW9JbDu9yYj217UZQi8i+nIosRS+JQC8suXImL2u+CpViMQiLd8GwIjofQyYZFqGgHHnedXCSYgGDYEXEX3PGFg32SJ6p4qfXCL6fC7oL246hJW7j+I7z2waVcWRsG6yXYDClIzNoOSSsaIiQI7oFTmiVzIjeiH0k+siCPp9WLPXWGZwfHUYAYXhSF8Ch3tj2Nnej1OnppJmd/51PToHkvjJDYsK8l7cRNRjz2+pwdq2bsSSmu1iWCjE970mYrSK7hn0XpOuYrCnox8TaozzLRt1Znvt7sHC54iyRbeDDhU/skCqmu7YHEyI7KYDPUioOhZMrs1pHO29cXz81yus3989fyLmTaoZ4hmZiIjeyT7SdI7KEJVXplNyEb347MTtmd/HwKSieiFunzxnqnUBiASNx/yKDwsn12L5TsPDjgYVHD+uAhv2d+Pz/7cG193/hq0D5m+W7cbf3t5vTVv3Mv1mRH/8OGPlItFTpdCIyK4mEgBg7/+/9VAvHnx155iMw2vs6xpES11kyG3qosYxG4vFR5x60+g6t84bGU23J12dnisuHPc+uxl3/nV9zuN4fbv9bjOeto4z5xy/fHUn2joHkI1URO9wAdK4FQRSRJ+i5IReszx6Q7xZWgAfDijYdNeluP2y2ZalE5Ui23cvmJjaNqjgrOmNWL7zqJU8e2LN/ozXfG5DZr3uWBJXNXQPI9wDZkQvqouc6qULgRXRm6LVKwn9H1e14a4nNx6TPUcO98bRVO08iU8QCRjzO7rG4LNy+gxUnVvnjW3bNOvGySIRQt8zmMwaCK1r68Zv39iN//fblVbN+7LtHbZt0iuO9hwdwH88uRG3Prom63sZyrrRdA6/zwfFx8ijlyg5oReeXmiIW+JIUAFjDEGzzrYqnHKorjhxApqrQ5g3qRpTx1Xg3FmNSKi6VV72wqZD1rZiQZN3Dva6/j5GwicfXokFd/19yLJJEZkJoR+riN7y6IMKfMxu3YiL01iUD3qN9t541kl8AsYY6qLBMVnOMpsoOkb0UiSc1HXnqhvzsYGElrWn/rt/+iq+9pf1eGb9QXzqtysBABsP9Ni2SQ9IDpjln3IO4PHVbbZjJKwbpzuNpK5DURgUH7Nm9hIlKPROM2OzIaL9Skno6yuCWP7VC/HkLWejNhrE4il1trsCuZ5YJDiLvdzbP95pBwAc7MmsgX592xFc+sOX0Wl+EVpMoR8L3xewd6+sjgTQE0vi7qc34cm1KcurpwSsr3zZe3QAO9r7ABiT9AYS2rBCDxg+fecYXJQdhZ5zx147tsU7skT0YpuBhDaiC3l6U7V026rNXFNCBFlbD/XiC4+9jdv/tNbaZviIniHgY0UtAfUapSf0adbNUMl/cUJUhQNZt6kI+TGxJuWlHuqOg3MOXedWBUmxVwESlRtrzWohmXuf3YzNB3vx6jbD+5xQa9gFYxbRm8efwWgc1z2YxMPLduPJtw9YY5B9+3KjvTeOTz28Emd/dymu/MmrAIDD5gU5W6M9GWN29hhE9A7WjaY5R/SygCY13TGpKXY3kFARV/WcumKm7xuAFaAIhIXaUGkkqkWEL38HxWs5jUvVOBSfEdHThKkUJSf0wrppNZOOHzptStZtU0I/dHFRXYVxIThxUg0Smo6j/QnbF6DYEf3URuO9rtrdid+v2GtLYM2ZUA0A1iSpCeZFS7TDfXjZLlz382UFmy0rapkZY6iO+NHWOYjBpIYDPTEroi9n6+aZ9QfwrJnDGUhoONIXt2bFZmu0J2NE9IUR+lhSs84Vx4Qqd/bo5W2v/MmriCedBNV4TNwR5BoMpdtAR9Pee5sp9GIM4i623qxQknFKtmo6R8DnQ0Dx0VKCEiVXXiki+gvnNOGT50y1eqwMRdUwfURqzdLAmc1VWLevGwe6Y2iUbrvFycw5xyU/fBnXLzkOzdVhXGFOfCk0oqro5y/vsMZx3ZLjAKQm3fTFVQT9PlSH/QgqPtzzzGZoOsf3nnsHgCFCFQXop5Ie0Ys5Cge6Bq1eJOVs3by58ygm1ITxkxsW4Zr7lmHl7k4r4mzMxbqJBjKiWjfo7E9gybdfgKpzrPzahY5+tarrWSL6NHvF4UKk6sZdryjP7IupNjHOJvzpSeH0976rox9AquxTCL+o6nrotVQVl1PuQNW55dFTMjZFyUX04sPz+VhOIg8Mbd0AwBcumonaaACXn2hMUT/UE7OdqOLn/oSGLYf6cNeTG/GZR1Zh79HsJWBuklA1yG91zd6UhSPXQVeIJLSZvxAiDxTOPhFfJR9jqA4HrBWT2vvi1ozjcrVuOOd4a9dRLG6tx7xJNQgqPqza3SlF9MMLfX00iO7BpOuidKQvblkXe44OWPuX6/o1nWPA/LzknJeqcVQEU5VqTlU1qiTyANAbt29zsDtzWU/xmjJykvXZ9Qexao8xx0U0LNxrevbiAvGtv220tneqJNJ03fDoFR+SGscdj6/Dn1a2OY7lWKLkhF5Pm3KfC8NZNydPqcOaOy+2pqsf6I5Zdk1lyI/+hIq1bV144JUdtueNlQ8eV3WcOX0c/vGl83DW9HFYsSvVyyYmzUQVEbRTNFWouQDy+gDVkdRx5jxlnZXrJKr23jgO9cRx0nG1CAcUzGiuxOaDvdjfNYhwwGdFoUNRGw1C5+5/PrKtcbQ/Yf3+/BfOwSfPmQpAVN2IvjGS0OscJ02pw51XzgXgfEemava7gXR77kCW5mnpdotsWz2+ug2TaiM4cVKNVVkjgqn+hJbRfz5rRC88ek3H75bvwW1/eBur93Q6jmc0dA8m8c0nNuB//rHNeuz1bUfw8LJd2O+wbrUXKD3rxryIKzlG84C96mYoGqtCUHwMh3pi6I8b7RKaqkPoHkjiPT99LWP7seqRE0/qaKjwoXVcBU6f1oDvPfcOemJJVIcDtqiqawixGK4Of7TI1n91ljun3jKN6HebIiQmqc1oqsSbO49C1XXMaq6yTeTLxnizbfCB7kFHH3q0yNFuR3/C8tTHVYYws7kKgBnRm2It3x2ruo6A4sM0s2VI+oXa72NIanZ/vy9N6LN9N9ITqLs6BtDRF0dDZQjtvXG0jjPakgwmNXDOU1aOmf8Q70G+Y5FRNaPqxq8w23djX9cgFh1X5zgmMd7+uIopDRVZt+Gc41ev78IPX9hqXZgvnNOMqeMq8LlH1+BIXxzfeGIDHrhxMRZOroPCmDW/BADWtnXh9e0duHrRJFs307Gg5CJ6caLkatsAw0f0AsXHUB32o3swaUX0zVXhrH5jewGF/nBvDB3m/hOabt1yi9mWh3uMv8kns/CGx1VmCkah+6kwBowbYvGXckREm6Ib5YzmKuzvjuGtXZ2YPb46p32I3vRu24Cyz97Zn7BE0a8YImhskyqvTO9vo/iYZd8k0iySoN8HLc3fT/+OxBwSuGLfgjOnNyCh6vjGExvQevtTWLWnC42VIUQCCgYTGg73xq0W4v1x1fr57qvnZexLkNSMi5Tfx2x9l4arCjrnu0tx7vf+MeQ229v78a2/bUT3YBL/dsksRAIKHlm+By9vbceRvjjuvHIuWhsq8LFfrcBJ//E8bn1sNQDjDuDbT23Ee376Gu55ZrNj9VyhKd2IfgTWTbZI04lo0FjHU5zEzdWhrMuvFTKiP+XbLwIAdt1zBeKqZpWTiqhPeJsDCQ2T6yPYezR1y/jcrefgi79/G//c0m49VijrxqqjZww3LDkOK3Z1ojrix59X7bO2KddkrDjmovx1hhkBJ1QdcyZU5bQPcZHY47LQp1s3opFawJw1CsAsITbOc5vQ6xwBhVnPSSfo9xkefUL26O1Cn01YhbWi6RzzW2rR0ZfAk2sPWH9vrApB1TliSQ3rzS6zVSE/BpMajojcR3UYjGXeHehm7/yg3we/zzcioc+lGZ9oy/Bvl8zCp8+bhuc2HMT29j6s29eNxqoQPnTaFEyqi+ALj63BQELD0nfacda9L+FwTxwJTccNp0zGv10y29U7t1wpvYjemqCT+3NymVwliAYVDCRUK9JxmsY+e7zxJe4YowVLEqpuvYeGipD52sZJH0tqaE273WyoDFljrDbvZgoltrpUdVMTDeCBGxfj++9fiIvmNlvblG1E3zmA5uqQ1V9JjuJF2etw1EQCqIkEsPVQHxb/5/P49eu7XBmbHO129Ceg6joYM+6ERZBkJFQzJx+JwEJ0JE0n5PchqemWvw9k2nPpPWwA4zxWdd06JyuCSsbKWo1VRkQfS2rYsL8HjAEnt9ahP66io19YN0HDPkqzbsSdR9Dvg19htrLoXNtwyBe8roEE5nz9WSzdbLT9FpMpr140CYwxTGmowCtbj2Dl7k7cdtFMBP0+XHLCeGy861KrEWJb5yDmTKzGE589E9957/yiiDxQgkIv6uhHEtHn4pUKoiE/BhKadZI4VU784VOn47j6aMEi+vSkU1xNWTdiIkmHGdEPJjTry3Ki1AWw2kwETjJbMRcuojf+Tz/GP7lhEf7r2gVYOLkWL2w6hEeW7ynI6xeTvUcHrFbXAHBcQxT3fegkfOPdc7G4tT7n/RxXH8UfVrbhSF8C33higytjS6ZZN0nNqC8HUvktTYrK5QlVgwkNkaAydESvpSp2gEyP3imCHkxoUHVunZuRoN9qOCgYVxlCJKhgMKnhnUO9OK4+isbKkOnRJ6xt/D5fRjLWEnrTupFtzVwWRQfsF6yl7xzGYFLDg2ZJ577OQfh9zPLXjzdXCvMx4L0ntdj2s7g1lQ/462fOxPyW3Lp7FooStG5MoR+BRz8SogEjoheeo1NEXxnyo6EyWDChPyhVLCQ13RbR10Xt1s1gUkMkoGDtNy+2evsAqUi+LhpAVchfwPJKs+om7fFwQME1J7egP65izd4uPLP+AD5w6nGp53E+oguwF2nrHMQpx9sF/dJ5I59bcVx91FoMBwC2HOq1EqajRUT0tdEAOvoTOF7TLW/eJvRJ4zzXuRFE+UxvOxLIjLYFIb9i+PtSRJ/u0TsJa08sCc5TNfEVQSVjlSgR0Q8mNXT2J9BYGUI0aKz33N4bR1XIj3BAMRPC9tcQFxdh3cjtHdLzDNnoGkiiNhrEtsN9+Nrj663j9PjqNuzrGsT4mrB1/ETitrEqlNGOekJNBLddNBPnzmrM6XULTckJvVVemYPQP3jTYuzvci7zykZFSMH+riT64irCAZ8lmDKMMYyrDGFPR2Hq6OUSrY6+hC2iF5OiZOvMk0r7AAAgAElEQVQmElQy8hAiaqoOB1AdCYxBRO/89xvPaMXbe7vwmtSe9u8bDuLWx9bggRsX44xp4woyrkKT1HQc6B7E5GFaEefCjWe0YtmODkxvrMSbu45i9Z5OF4TeELbmqjA6B4xkrOjmKr476T67xjkYN4KHaFBBOOADY5ltRoLmrNNB09+PBJScInpxDopzNRJUMiL6xqoQQgEFsaSOroEkJtSEEQ35raobkfD3K5kToiyhVwzrRl6MJ6nmNk9BVK5999nN1oXs9e0deN3suilf2EW7EZFQT+eWC2bk9JpjgSvWDWPsUsbYO4yxbYyx293YZzZGEtGfP7t5yBYJTkSDRuJHfNmE/yoWdBZMqY9iZ0c/nt94yPU2s3JjtYM9MWN5NCnyaagM2aybiMMCI+LLVB3xoyYSKJhHz606+uyfx8zxVTjUE0fXQAJdAwl88rcrMZDQxnRtW7fZ3zUInQMtWb7kI+GU4+ux8msX4pF/PRUhvw9bD/XlvU8RwTZVh8yqGx1+RazhYPyv85RHDxjfrbiqg/NUB9gKB/smFDCsGyGEzdWhjDxMtoje2N4QyHGVIUTSFvgeZ1bdAEblWU0kgGhAQULTsWJXp7VKnOLzZZRXJiWPXkmvutGGTrYKPRF1/e19cUyuj+BdaRG5bOWedFwd3nvSJPzXtQuG3LcXyFvoGWMKgJ8BuAzAXAA3MMbm5rvfbGhSlUchiAYV7D06gNV7u3D+7Cari97Hzzrett3FJ4xHQtXxr79ZgR++sNW1139r11Fbqd0+c2agfGtYXxHEk2sP4DfLdmHAjOjTESWlRkTvL9ikJY7s0bxglpkYfudgL37xyg4rQtzebhc0Xee48cE3cZc0+9GriIob2aPPB8YY/IoP05sqseVw/kIvrJtoUEFS41Z9OZAqZFA1bssHqVIjP7GGQ9gUYrlk14joOfrjqlFWWxlCXzw9Gesg9OY5ONdMTp4xrcEWpDzyr6faxP9IXwLVkQCipoV0sCeGc2cawus3J0TJiIg+oPisyYPpf8uGKCUV8026B5JY0FJr9dS6etEk/PiGRfjSxbOs54QDCr7//oVD1t57BTci+lMAbOOc7+CcJwA8CuAqF/briF5ojz7oh6pzcA6cN6sJ05sq8eYdF+Ajp7fatls8JZVscStafm3bEVx73zL8+KXUjDtR0iVXDu08YkwiufOvG8A5HJcMtKybSAANlSHbylluwnmmP5/OHLMa5RtPbMDPlm7HJSc044LZTdiWFrn+fsVe/HNLOx58bSeSmo4HX93pWhWKG/zg+S14cq2xMM3eTlFDn791IzOjqRLbDuW//kFqyU0FGudGMtYhopftDU1L/S4SsUKcpzZWWtuFAgpUTceRvgQaKoKojgQyPHonYRURvd/HML+lFowxhE2BDSo+y8aTA5eaSABR6XdL6JXM7pRx1R7Rywy32pRokyLuzo8OJFBfEbQuRC11EbxnwURL+EsNN4R+EoC90u9t5mM2GGM3M8ZWMMZWtLe3p/85Z0ZTRz8S5JIyMeNRdCF88paz8MIXzwFglKk9d+s5qA77Xes+uHJ3apq2mBgl+nPL1s1tF8+0Pc/Juqk1Z+TVRQNoqYtgf1dsVAsxDwcHH/buqrk6hMaqEDYf7MXM5kr87AMnYUZzFXYc6bOiMl3nuP/lVIuJT/x6Be56cqNrVSj5smx7B3704lZ89pHVWLWnE+v2dcPvY1a3ULcQk67ynckshC3kN6pTDOvG2aNP/a5bnn0kbbLUtMaUwAXNPjLtvXGMqwyhKuy3efSxpNGuIJp2pykCIr+0rnMk7c7B+Dn1vNpoSuijQcWad2BE9NnLK9PXjh6u6ka8RtdgEqqmo3vQSMqKsbj9OY81Y1ZeyTm/n3O+mHO+uLFx9JnoVB19YYRejibSE7HzJtVgelMqSTZrfBWWtNbjYI871Te7peRuY1UITVUha3Ur2br54KlT8LUr5jiOWdBUFcZ9HzoZVy2ahJa6KBKaXpCZvDof3rphjGGBWV526vEN8Cs+TGusQFLjaOscxP6uQUz96tPYcaQfHz2zFQCsyV6Kj4FzXrA7kly5/+Xt1s/v/Z/X8cjyPZhUF3H9zvJUM9n38tbRB0NAKhkbCgihz0zGarqOWFK3qms0ybpJDx6m2SJ6Ixnb3hdHY1UIlSG/rdfN7K8/i6fWHcio2hFRv9/nJPRKxmOAEdGLu4NrTk6VMPqVzPLKpJSMVXwjs25EkUfXQBIb9veAc6A+GsAnzj4et182G9cubhny+V7HDaHfB2Cy9HuL+VhB0HS9YLYNACv5ZFQc5NarJFunvpGySVpmrSYSwJwJ1Viz1+jmlz7pS/7iOUX0AHDpvPGoDgekuwP3q4QM62b447SgxajxF/XFooVvR38Cb5lN2k6eUocvXTwLUxsrcPWiSfjypbOg6RzPbzyEU779Il7YeMh55wWmP67ite0d1iQ0ALj76hNx7/vmu/5ai46rQ100gBc35fdeha0RNu8Ek6puWTZCaBOqjoSWEnqbR58WPIglKgEgZIrskV5T6MN+a2asXPKY3mNKXAz8kgiLIEUOVtKtm8tOnIBbzp+O2y+bbT3uWF4pT5jKsG50rNx9FBv325cyFIiLxhNv78dVPzP6WtVVBBEN+vGpc6dleP6lhhujfwvADMbY8YyxIIDrATzhwn4d0fTC2TZA6gR3qjZwYnx1GJ0DyYxJTiNF1XRsPZzyZoXQyyevjE3oHSJ6mclpNpCbcORg0gO46IRmzJtUjbOmGz6smCHY2Z/A+n3dCPp9ePTm01AR8uPFL56LH1y3EPXmnAGxju8qFzsQ5srR/gQu+v4/kVB1/PulszG9qRI/un4hPnDqcThtaoPrr6f4GC6Y04wXNh3Oa+5DQoroASCmpqwbYbUJ4RWJe01PJWfFOSXuMGThDAV8SKg62k2hrwr5kVB1xFXNZmOmrwMh7B3ZuhGRvBysyPmAmkgAlSE/brt4lm0Cl2ijkFB1y5K0lVdK4600x3fH4+vx339Pte6WEVaX3Da5WLNYC0HeQs85VwF8FsBzADYB+D3nvGDGqs75iNofjBRxMg0nnoJms/vg4Tztm7bOQVvCyBD6VASZHtHLtkG2iN7atjZqvYbrcCCXG6zZ46vx5C1no8GsYrImfg0ksH5fD+aMr7KiJnEnJRLK7WaPk2JEVW/uPIr93THMmVCNs2aMwwtfPBdXLcxIQbnKTWe0oi+u4uFlu0e9D+Ffi4g+ntRS5ZWm0IrZ30Lo7RG98dgj/3oatvznZba76JBfQU9MRULT0VgZsu4I+uMaOqU1YEVELybyiZ71tojePHdD0jk8sSY1SbE26tynym9W/sz82jO49bE1AOzllfLFpDLkR0LTcagnltGTxzpeDguziHO0HHDlm8M5f5pzPpNzPo1z/m039pkNY/Hfwn3ho6GRRfQTzJNyf5p988ArO/Ctv+V+vROVNCKJVGtG9IL0iF7xMbz51Qtw20UzbdOtnYgEFYyrDBZE6HXOc7Ju0qmTI/r93ThBat8gEDMot5llmFsP92KrVJGiarmvVTpadpttch+9+bQxu9DMm1SDi+Y248cvbsVTaw+MalES4dEHzPMmruoIpHn0fdKaC4Bhi6aqbhRr26DfZ61O9r6TWqy7BMCYOS4qVnpjSVtEHPYrCCgMIb8PIb/PuoNQHDx6uZ5etkyrs/T09/uYdffxxNv7rfcIwOxemdpfZdiP/riKzoGkbYKY/XhlHuM6iuiLh6bznCLI0SJOvGiWhk7pCAtla1pJ3H8+tQkPvbYr50qXHabQL5psiHZ1JGCbpJU+VRwwJk7dcsGMrD1JZCbVRgrn0Y/i86gIGiKw+WAvemMq5ozPnAkqhF7UrD+97iAu+sHL0HWOdw724sRv/h0f/uXyvMY/HLs6BlBfEcxpERE3ufvqE9FcHcZnHlmFy370Ml7demT4J0kkzQ6Ush8vBFZYnyK6rTSFWl41Kv2O9pTWejx5y1n4r2vn22yRxsqQFbn3xlSbdWNUv/gQ9PsQCSqW0AeGsW4A4AsXGpVlYpnPdPw+Zt3pCcRFX1xYBBUhv7UQyoDD0onivadTTxF98dA5L2gyVkQF6cmobEyoCaMuGsAGKckjtzDYl+OKMzuP9KEmErAWXqiJBGziPpIOnE601EWtyVduwpGTRZ8BYwx10SDe3GkkYuVqJkG29tLr9nXjsbf2YjCpYfnOowUpGxXs7ujPmBU9FjRWhfDSbefipx9YhISq46aH3sSz6w/m/HxVM5Kvwo+PqZp1R2JF9Gkevaplr7rx+RjmTaoxJnZJ0XJNJGB58X1x1RbRh/w+S+wjASVVdaPIyVjj5/S5IJ+7YDp23H15xp2swK8wa+FwIQdyPku2fCpDCg6Yd9zZ++TbH//LZ87M2b4tBUpO6DW9sEIveop/8NTcWicwxnDCxBqb0MsVE1tymPyiajre2tmJqY0VVuSYHkHmL/QRtHUNui6KRkQ/us+jLhq0LoQzmysz/p4til76zmFs2J9qAnagJ4aXNh+y2jG4ye6OgYw20GOFX/HhyvkT8cQtZ2HOhGp86rcrbYtjD0VS4/Cbi2QDxipl6XX0QnirciivlJEj8khQsSL6vphqW+w75FcQFBF9QLE6Q8p3BNkiesaGXhNa7jcvbKWkZN3I507Yr1j5r2wRvdzyOOj3YeHk4nabdJuSE3qdDz9BJx8m1kaw654rcPmJuXchPGFiNdbt68YLGw9h79EBfPvpTZZwbT44vND/bvkevHOoF584aypqzdtFcaKKMsR8L24tdREkVN31jps656OybgCgrsJ4j/UVQStJK5NtZbCHl+3G8p1HrUj77qc34WO/WoG/SQtYuEFHXxz7uweLEtHLVIcD+OP/Ox0XzmnC3U9vwp1/Xe/Y711GLAdoCb1DeaWI6FPllTpiSQ3hgG9okZUi8nDAZz2/N57E0SzWTVhqfOZYRz/C6Fneh7hQyRF9jWS7yHcF2RYYkSP6ijKK5AUlJ/SFjuhHw3VLJqMq5McXf78GK3d3IpbU8cPrFmFCTTijn4sTb7d1YUJNGFfMn2Aln8Rak587fzqA/CsAWsyeLHsLYN+M9tMQSbxZWTo1ymJz9SKj0uXBmxZbDd3ExVj41+l5EsCYYTvaNgoPv7EbnANXzh9562G3CfkV/Pe1C3HVwkn4zbLd+OJjbw95B5NUDY8+JfRaxoSplEcvWzfqsDkfW0TuV6yoPG52nBQEFMMrDyiGRy+aoPnT7gjEfkaCrAHiPJLLK2uliF5OosdVPSO5resc8kO55LxKjRIU+sI1NBstUxsrcee756InpmLpO8ZqNMePq0BjVchaLCEd+Ut6sDtmTUg5Y1oDLprbbNkFHz69FTvuvjzvCoBCTZrKp6/8YTOZlt4wzol73zcf//jSeTh/djN+dP1CzGiqxHWLJyOgMKv97fb2Pryw8RC+88wmHOox2gi8sOnQqNoo6DrHo2/uxXmzGh3zB8WgJhrAf127AF+5bDaeWncA9/1zR9Ztk7oRwYvEa1x1sG4sj94QRWHdDFeua4vIg4olpEmd2zx6nRvL+gnrJvX8zPJK4dXniize4v0kTHsmoDCbR5/u8w+mzXkRiVhxB5lrfq6UKLlLV6GTsaNFrCj01zX7jcUTggoaKoKObQe+88wm/G3Nfrx2+/lgjOFAdwxzJxqllNMaK/GLjyy2be9Gu4fJ9VEoPoZtLnRGlMmle2U27rxyLl7fdgQXzGnKus25MxvRUBFE0O+zGkpdtXCSVcs+o6kKG80ZxU+vO4in1xkJy7BfwRnTUhOa5nz9WZw9YxyumD8hpzr4dfu6cbAnhn+7ZNaw2441N58zFev2deN7z23G/JYanDk9s6e/qhkRvTh3EqqekYwVbSXEqmWqbnS5zJYAFcjWTcjvQ8y8gCRV3VruD0gtah9SfLZkq5J2oTAi8JEFMvI+hI2VUHUEFWNGu7y/9PczkFBt7RlEDX1NJIDemFqWQl9yEb3qQesGAFobomgwo24xE7W+IoSjaRF9R18cP//nDuzvjqG9N471+7qxr3PQNkmkEIQDClobolbvHLfgfPR3WCdPqcMtF8wY8o7g1x87Bd+/bmHWv1+1cGLGYxNqwvjd8j342l/WW48NJjX8feMh3PF46jFN5+jsT+CTD6+w5jEAwPp93bjhF2/Ax4DzZ2e/CBULxhjufd98TGusxGcfWYXDPZl9gET/eTn6Fj+LiPpIX8KsGjPOW03nOZUvy8lYxlgqotd0HOlNne+qpqOpKoym6pCtgiVgu1Ao+MOnTscN0upjuSDbP6KSJiEt0FMjR/Rp8x9iCXuFjUjUyguilBslJ/S6R4WeMWZFpiKB2lAZREd/wmbTLH0n1azqn1vaceVPXkVC0zF+DLrjzRpflVMV0EgwJkwVD+Hd/+C6BXjoo0vw8MdPwUVzm3GkL46t5t3Lm3dcgBVfuxCnT21ALKkhqengnONjv3oLi/7jeTy34RB+9MIWAEZ0eOtja6BqHLddPMuzk2YqQn7874dORn9cw91Pb8r4e9LsPy/fDVotEKRv/azxVdYFQBVdLoeZkJjeMEwW+o7+uLU4h6px/PD6hbj3ffNtE6LSv78LJtdmXbYwG36niF7TLKGX2y/Iq7MBwEDSXnkjPPvqiFi0vOSMjmEpuXek6bygvW7y4T0LJuH3K9qspFB9RRBxVcez6w/iT6vaUBHy2ya+iA6NAAoe0QPAzOYqPLP+YE4Jt1zJx7pxg6bqMLbffblNPBQfw2+W7cb8lhrMnVBttZm+5uQWLNvRgWXbO/D8xkO24/+3tQfw2fOn42dLt2Pb4T489NEleNcs70XzMtObKvHJc6fiJy9tw/Wn2HvvqJpZdcPkiN7ejx4whF7uZplLsUN6C2Dx+5E+YxHyCbURHO6NI6lzS8Bljz79+aPBZt2YEb1IQAN2u1NE9JPrItje3p9ReSMqbso5oi89oee8YC2K8+WMaQ347Lum41/MKFM0Rfr3P621LbU2rbECO47042VJaJzKC91m7oRqcA6s3tPl6OuOBuNmpbifR7ownTFtHDbedUnGxUwsQ/eRB98EYKz1+enzpmF6UyWuuW8ZLvz+ywCA2y6a6XmRF3z6vOn486p9+Pc/rcVfPn2mdQei6qLqJrVtqqlZ6rE546ttEb2mc5st4kR6xG9MomLWovYTqsN4G6m6dsBePunGHblIwFeG/IhZEb3umF8QdxxTGiqwvb0/ow2CqKFPLVpecrI4LCVq3RR7FM74fAxfumSWJSjCs+9PO7GmNFRgYk3EEv8bT5+CBZMze724zdkzGhH0+/DBB5Zjwbf+jv97c48Ley1sS4rR4nTHMq0pNSnrpdvOxYu3nYvrTzkOi1vrcdMZraiLBvDwx0/x1KLOwxEJKvjxDQtxoCuGb0sWTkI1PHrZZpGbxv30A4vw1ctn4+ITmqWInueUA3P6e0DxWbNPT51qFCacMT11h2GP6PP/AouWBmJdA9HJMt2PB1KWjVjEOz2i14RHHynfiN6jkpkdjXvXuklHRPSazvGuWY2480pjKV0fY9bqVbPHV+FbV81z7GXjNpGggsvnjQdgRETLzJXt80HXi2vdjITKkB8fOX0Kfv7hkzG1sdImOHdeORdv3nEhzp4x+kVxisXJU+px3ZLJeOLt/VZ5o2NELwn0lfMn4uZzpiEa9FsRumoKZnov93QCDncGfoVhvym+p09rwJtfvQAfPi01u9xeXpn/CXNICL158Y6rGhKabvtMX7/9fCz/6gWW0Lc2CKG3e/RJ3W7dVOTY56qUKD2h171r3aTTUJGyY86b1YQPnz4FN53Riq9fOQfvX2Ks1XK41/1Vn4biP/5lHv7ymTNx+tQGW0+e0cIxuu6VxeKuq+bhkhPGZzzu8zFXIs1i8eHTpyCh6njsLWNVz/ReN0B2gVWUkUX0Vrtj6W4hqPisJmPjKkNoqg7bqqnkkkU3us+K9g2iqWAsaczqlVuFTKyNoLk6jKD5/sQi3ulrR6iaPRlLE6Y8gF5CEf3E2rAV1c9sNvqtf/M9J2BKQwWuPHECLj9xPL7x7rljOqaqcAALJ9diQm3YHaEfZfdKwl1mNlfhtKn1+O0bu6HpYjFwZhNtf5YLmbgA/Hl1m61VQjZEu2PZy0/ZQs6zuGXxHC4HkAsPf/xU3HL+dMsevf/lHXhl6xHHi/XcidWYM6Eas8wOqX9Y0YZzvrvUqtYRfewbq0KYOq7CtpJYuVByl65Siuj9ig8vf/ldeH3bEZxm+pYCn4/hfz54cpFGZrQtPtgTMyK/PCJZDu/NVD5W+fBprfjMI6vw8pZ2q0zSLvRZInpzmzd2GJ1Ez505tH0ltvc77Lsi6He8I2iqTt3dupGMXTC5Fgsm1+Ivq41VS0WTuy9cNDNj25On1OOZz59tRfIrdhsrlXX2JzG+RrHKK6NBBS996by8x+ZFSi+iL/BSgm5TGfLj4hPGj7pNQKGYWBuBzoFDeVpHegE6RhKj46K5zWioCOLRt/ZAFd0rpfMukCVST7d0hvPQUytV2a0bwGhy5sT46lT5sJsWmXi97sEkmqtDQ1aThfw+TG1MdSIVZdBiZmz6/IByouTemebRFgilhlgZ68x7XkLXgHM/npwg68YzBP0+XHNyC17cdBj7ugYRVHwZ8wucSH881zp6eTsh3tmKCpokoXfz6yter3swmdHTPh3GGH503SLr95R1Y/bIKWNdKSmh/9nSbVi5u7NkrBsvI0rNAOCNHaOvvin2hCnCzvuXTIaqc6uJmc8mxs4fVLonP2wy1tw+4GDdZFs3oVpqOe3m3W1Iiuhz6YB5YksN7v+wYZmKRYZEMjYfC9PrlNQ7q40GcOGcJlx7ckuxh1LyTG2sxEM3LQFgTKAaLbzA6wMQI2NaYyVOOT6VD7LNjM2WjFVGFtGL7eX9iYg+W0O0QlmXIorvGkhmtY3SEQuRx1UdSU3Hz1/eDsCd3IFXKSmh/+CpU/DAjUvw7gWZjayIkfOu2U1YOLkWq/d2YW1bFz7zu1XYfLAHCVVH92ASqqajJ5Ycsu+5zos9L5ZI55PnTAVgXMBtydgsQhZQfLjj8jnDbicQF3Z5O+HRh4axT9xGjuJzfW1x1xFXNfxhRRteMduSuNGawauUXNUN4S6nTq3H/S/vwNX/8zo0neOpdQcwrjKI/rgGHzNm9R5XH8XCybU4cVINdnb049yZjZg9vgrV4QBe337E6mdOeIPzZzfhfSe14LJ543OqugGAKxdMsGbWDpeUTCUvc7duCkVIiuKH8+gF4q4jYUb0Ajfq+70KCf0xzucvmIGeQRWcc7xrdhN+/OJW7GjvR0XIj1OPr8es8VVYtr0DL20+jCfe3g8AeGT5HjBmRPI6R9bFVYjiwBjDf79/AQD7msVDCVkukb/AydNOJWOzv8a97zsRy83F4N1CnogVzvEik4ro9bT2yRTRE2VKNOjHd957ovX7JSeMR1LTwZD6In/ughmIJTU8u/4gTphYjbauQWzc34Md7f2orwjkHEkRY4+cPxlKyOTSS2UYwZvZXIUL5zTh1gtTNevDVd0AwHVLjsN1S0bWd344KqR2xLmeh7LQJ6TGa+Xs0ZPQExk41TmHA4rVlXNGc1XJdHc81rEvPJI94pVtneEi+qDfhwduXGJ7TFxEck2IuoXcaTLnZKx5MUqoOvrjqb43pdwCYzjK950RBJGzR++0ButIyCWiLwSKj1n2zcgjes3WWdaN1gxehYSeIMoYX44R/Ug8eicsoR/jiB5I2TcjTcbGk/aIvpyTseX7zgiCSKujzy7gftsM2pHLQqBIVTcArFWsck/GmtaNZhf6cvboSegJooxRcpgZC6RWiTKeM/LXKZZ1A4y8ht8W0UvWTbQMFxwRkNATRBmj5GjdAKmIfzQRvXidYkT04rVztW4Un3FRi6sa+uMq5k2qxq57rijr6jESeoIoY2TrZjhrQiwgMxqPXsyeLoZH7x9FxU/I70NC1dEXV8tyoZF0SOgJooyRg/PhygfFNWE0XrXZ0r0o1o24MOXS1EwQ9PsQV3UMJFTL4y9nSOgJooyR7ZrhygfFX0cT0Yt1CYJFKFEU73Ek1kvIr5jWjWabdFWu5CX0jLHvMcY2M8bWMsYeZ4zVujUwgiDyxxbRD+O9iw6To4voufl6Yy/0KY9+BNZNwGdNmKoo4ySsIN+I/nkA8zjn8wFsAfCV/IdEEIRb2Dz6Qkb0ZieBYrSs9jsshDIcQcWwbvrjKkX0w8E5/zvnXBSivgGAGsUThIewlVfmKITKKOorNTOiL8Yyn+LCJNZ+zYVQwIdY0pgZS0I/Mj4G4BkX90cQRJ4wxqyl+4ZdQUlsN6qInpuvN+Kn5o0oB1VHIvR+BV2DSQAg6wYAGGMvMMbWO/y7StrmDgAqgN8NsZ+bGWMrGGMr2tvb3Rk9QRDDIqL6XJOxeXn0RVD6j5w+BQAwv6Um5+cEFR+O9hvttY+FiH7Yd8g5v3CovzPGbgJwJYAL+BBLEXHO7wdwPwAsXrw490svQRB5YYgvHzZSZw4rR+WKCKaL0UbgnJmN2HXPFSN6TiiQEvpjobwyr3fIGLsUwJcBnMs5H3BnSARBuIkV0ec443U0Yl0dMaSkVNoIBBUfemNGerFUxpwP+V7KfgogBOB5Mxp4g3P+qbxHRRCEawjhHm4FJaHvoxH62y+bg9aGClw4p3nEzy0Gcl8ciuiHgXM+3a2BEARRGBQfg+JjljWTjXysm8qQH584e+qoxlcM5E6Xx4JHTzNjCaLMUaTOlEORSsaWvyzURlML2leEyt+6Kf9PlCCOcXy+3IReMJqIvtSojQatnymiJwii5FEYG76GHvk1NSs17BE9CT1BECWO4mPDJmINRu/Rlxp1UkQfLeM+9AISeoIoc4yFNiiil6mNpCL6XO52Sp3yf4cEcYwjqm5yZbgZtOWA7B966BAAAAaRSURBVNEfC5DQE0SZ42PD19ADx1bVTV1FYPiNyojyz0IQxDGO3+cDY8N3HRHWzbHg0ddGjq2InoSeIMocn48hB5231owtRmOysSZyDLQ9kCGhJ4gyx8g15mDdWO2My1/ojzVI6AmizFHY8O0PgPzaFJciddEATmw5NlY/JaEniDIn16qbfHrdlCKr77y42EMYM0joCaLMqYkERlRJcyx49McaJPQEUebc+775uVj0RVkGkBgbSOgJosxpqg6PaPvs68QRpUr5z4wgCCInKoJG3EeRfflBET1BEACAB25cjMdX70NLXaTYQyFchoSeIAgAwOT6KD53wYxiD4MoAGTdEARBlDkk9ARBEGUOCT1BEESZQ0JPEARR5pDQEwRBlDkk9ARBEGUOCT1BEESZQ0JPEARR5jBehMYWjLF2ALtH+fRxAI64OBy3ofGNHi+PDaDx5YuXx+flsQGp8U3hnDeO9MlFEfp8YIyt4JwvLvY4skHjGz1eHhtA48sXL4/Py2MD8h8fWTcEQRBlDgk9QRBEmVOKQn9/sQcwDDS+0ePlsQE0vnzx8vi8PDYgz/GVnEdPEARBjIxSjOgJgiCIEVBSQs8Yu5Qx9g5jbBtj7HYPjGcXY2wdY2wNY2yF+Vg9Y+x5xthW8/+6MRzPg4yxw4yx9dJjjuNhBj82j+VaxthJRRrfNxlj+8xjuIYxdrn0t6+Y43uHMXZJgcc2mTG2lDG2kTG2gTH2efNxTxy/IcbnleMXZoy9yRh72xzft8zHj2eMLTfH8RhjLGg+HjJ/32b+vbVI4/sVY2yndPwWmo8X4/uhMMZWM8aeNH9379hxzkviHwAFwHYAUwEEAbwNYG6Rx7QLwLi0x74L4Hbz59sB3DuG4zkHwEkA1g83HgCXA3gGxrLRpwFYXqTxfRPAlxy2nWt+xiEAx5ufvVLAsU0AcJL5cxWALeYYPHH8hhifV44fA1Bp/hwAsNw8Lr8HcL35+H0A/p/586cB3Gf+fD2Axwp8/LKN71cArnHYvhjfjy8CeATAk+bvrh27UoroTwGwjXO+g3OeAPAogKuKPCYnrgLwa/PnXwP4l7F6Yc75ywCO5jieqwD8hhu8AaCWMTahCOPLxlUAHuWcxznnOwFsg3EOFGpsBzjnq8yfewFsAjAJHjl+Q4wvG2N9/DjnvM/8NWD+4wDOB/BH8/H04yeO6x8BXMBY4VarHWJ82RjTz5cx1gLgCgAPmL8zuHjsSknoJwHYK/3ehqFP9LGAA/g7Y2wlY+xm87FmzvkB8+eDAJqLMzSLbOPx0vH8rHl7/KBkdRVtfOat8CIYUZ/njl/a+ACPHD/TelgD4DCA52HcRXRxzlWHMVjjM//eDaBhLMfHORfH79vm8fsBYyyUPj6HsReCHwL4MgDd/L0BLh67UhJ6L3IW5/wkAJcB+Axj7Bz5j9y4t/JMWZPXxmPyvwCmAVgI4ACA/y7mYBhjlQD+BOBWznmP/DcvHD+H8Xnm+HHONc75QgAtMO4eZhdrLE6kj48xNg/AV2CMcwmAegD/PtbjYoxdCeAw53xloV6jlIR+H4DJ0u8t5mNFg3O+z/z/MIDHYZzch8Qtnvn/4eKNEBhiPJ44npzzQ+YXUAfwC6TshTEfH2MsAENEf8c5/7P5sGeOn9P4vHT8BJzzLgBLAZwOw/LwO4zBGp/59xoAHWM8vktNS4xzzuMAHkJxjt+ZAN7DGNsFw5I+H8CP4OKxKyWhfwvADDMTHYSRhHiiWINhjFUwxqrEzwAuBrDeHNON5mY3AvhrcUZokW08TwD4iFldcBqAbsmiGDPSfM+rYRxDMb7rzQqD4wHMAPBmAcfBAPwSwCbO+felP3ni+GUbn4eOXyNjrNb8OQLgIhh5hKUArjE3Sz9+4rheA+Al845pLMe3WbqIMxgeuHz8xuTz5Zx/hXPewjlvhaFrL3HOPwg3j12hM8lu/oORCd8Cw/u7o8hjmQqjquFtABvEeGB4ZS8C2ArgBQD1Yzim/4Nx+56E4el9PNt4YFQT/Mw8lusALC7S+B42X3+teQJPkLa/wxzfOwAuK/DYzoJhy6wFsMb8d7lXjt8Q4/PK8ZsPYLU5jvUA7pS+J2/CSAb/AUDIfDxs/r7N/PvUIo3vJfP4rQfwW6Qqc8b8+2G+7nlIVd24duxoZixBEESZU0rWDUEQBDEKSOgJgiDKHBJ6giCIMoeEniAIoswhoScIgihzSOgJgiDKHBJ6giCIMoeEniAIosz5/zb+wdzrnlz+AAAAAElFTkSuQmCC\n"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"print(f'Before {X_train.shape} {X_test.shape}')\nX_train = np.array([fft_raw_to_3features(x) for x in X_train])\nX_test = np.array([fft_raw_to_3features(x) for x in X_test])\nprint(f'After {X_train.shape} {X_test.shape}')","execution_count":10,"outputs":[{"output_type":"stream","text":"Before (62900, 128, 128) (2624, 128, 128)\nAfter (62900, 384) (2624, 384)\n","name":"stdout"}]},{"metadata":{"trusted":true},"cell_type":"code","source":"Xdf = pd.DataFrame(X_train, columns=[f'v{x:d}' for x in range(128)]\n                   + [f'm{x:d}' for x in range(128)] + [f't{x:d}' for x in range(128)])\nydf = pd.DataFrame(df.ttf)\nnp.abs(Xdf.corrwith(ydf.ttf)).sort_values(ascending=False).head(20)","execution_count":11,"outputs":[{"output_type":"execute_result","execution_count":11,"data":{"text/plain":"m0      0.608917\nm1      0.607162\nm99     0.576367\nm80     0.567259\nm94     0.562702\nm100    0.559261\nm109    0.555354\nm108    0.551122\nm110    0.550081\nm111    0.549778\nm91     0.549773\nm79     0.547509\nm95     0.546798\nm81     0.546140\nm112    0.545782\nm90     0.544174\nm87     0.543478\nm96     0.542784\nm71     0.540394\nm86     0.538768\ndtype: float64"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"scaler = StandardScaler()\nX_train_scaled = scaler.fit_transform(X_train)\nX_test_scaled = scaler.fit_transform(X_test)\ny_train = df.ttf.values","execution_count":12,"outputs":[]},{"metadata":{"trusted":true,"_kg_hide-input":true},"cell_type":"code","source":"n_fold = 5\nfolds = KFold(n_splits=n_fold, shuffle=True, random_state=11)\n\ndef train_model(X=X_train_scaled, X_test=X_test_scaled, X_columns=Xdf.columns, y=y_train, params=None,\n                folds=folds, model_type='lgb', plot_feature_importance=False, model=None):\n    oof = np.zeros(len(X))\n    prediction = np.zeros(len(X_test))\n    scores = []\n    feature_importance = pd.DataFrame()\n    for fold_n, (train_index, valid_index) in enumerate(folds.split(X)):\n        print('Fold', fold_n, 'started at', time.ctime())\n        Xtrn, Xval = X[train_index], X[valid_index]\n        ytrn, yval = y[train_index], y[valid_index]\n        \n        if model_type == 'lgb':\n            #model = lgb.LGBMRegressor(num_leaves=31,\n            #            learning_rate=0.05,\n            #            n_estimators=20)\n            model = lgb.LGBMRegressor(**params,\n                                      n_jobs = -1)\n            model.fit(Xtrn, ytrn, \n                    eval_set=[(Xtrn, ytrn), (Xval, yval)], eval_metric='mae',\n                    verbose=10000, early_stopping_rounds=200)\n            \n            y_pred_valid = model.predict(Xval)\n            y_pred = model.predict(X_test, num_iteration=model.best_iteration_)\n            \n        if model_type == 'xgb':\n            train_data = xgb.DMatrix(data=Xtrn, label=ytrn, feature_names=X_columns)\n            valid_data = xgb.DMatrix(data=Xval, label=yval, feature_names=X_columns)\n\n            watchlist = [(train_data, 'train'), (valid_data, 'valid_data')]\n            model = xgb.train(dtrain=train_data, num_boost_round=20000, evals=watchlist,\n                              early_stopping_rounds=200, verbose_eval=500, params=params)\n            y_pred_valid = model.predict(xgb.DMatrix(Xval, feature_names=X_columns),\n                                         ntree_limit=model.best_ntree_limit)\n            y_pred = model.predict(xgb.DMatrix(X_test, feature_names=X_columns),\n                                   ntree_limit=model.best_ntree_limit)\n        \n        if model_type == 'sklearn':\n            model = model\n            model.fit(Xtrn, ytrn)\n            \n            y_pred_valid = model.predict(Xval).reshape(-1,)\n            score = mean_absolute_error(yval, y_pred_valid)\n            print(f'Fold {fold_n}. MAE: {score:.4f}.')\n            print('')\n            \n            y_pred = model.predict(X_test).reshape(-1,)\n        \n        if model_type == 'cat':\n            model = CatBoostRegressor(iterations=20000,  eval_metric='MAE', **params)\n            model.fit(Xtrn, ytrn, eval_set=(Xval, yval), cat_features=[], use_best_model=True, verbose=False)\n\n            y_pred_valid = model.predict(Xval)\n            y_pred = model.predict(X_test)\n        \n        oof[valid_index] = y_pred_valid.reshape(-1,)\n        scores.append(mean_absolute_error(yval, y_pred_valid))\n\n        prediction += y_pred    \n        \n        if model_type == 'lgb':\n            # feature importance\n            fold_importance = pd.DataFrame()\n            fold_importance[\"feature\"] = X_columns\n            fold_importance[\"importance\"] = model.feature_importances_\n            fold_importance[\"fold\"] = fold_n + 1\n            feature_importance = pd.concat([feature_importance, fold_importance], axis=0)\n\n    prediction /= n_fold\n    \n    print('CV mean score: {0:.4f}, std: {1:.4f}.'.format(np.mean(scores), np.std(scores)))\n    \n    if model_type == 'lgb':\n        feature_importance[\"importance\"] /= n_fold\n        if plot_feature_importance:\n            cols = feature_importance[[\"feature\", \"importance\"]].groupby(\"feature\").mean().sort_values(\n                by=\"importance\", ascending=False)[:50].index\n\n            best_features = feature_importance.loc[feature_importance.feature.isin(cols)]\n\n            plt.figure(figsize=(16, 12));\n            sns.barplot(x=\"importance\", y=\"feature\", data=best_features.sort_values(by=\"importance\", ascending=False));\n            plt.title('LGB Features (avg over folds)');\n        \n            return oof, prediction, feature_importance\n        return oof, prediction\n    \n    else:\n        return oof, prediction\n    \n#train_model()","execution_count":13,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"from collections import Counter\nimport random\n\ndef balance_class_by_limited_over_sampling(X, y, max_sample_per_class=None, multiply_limit=2., random_state=42):\n    \"\"\"Balance class distribution basically by oversampling but limited duplication.\n\n    # Arguments\n        X: Data samples, only size of samples is used here.\n        y: Class labels to be balanced.\n        max_sample_per_class: Number of maximum samples per class, large class will be limitd to this number.\n        multiply_limit: Small size class samples will be duplicated, but limited to multiple of this number.\n    \"\"\"\n    assert len(X) == len(y), f'Length of X({len(X)}) and y({len(y)}) are supposed to be the same.'\n    y_count = Counter(y)\n    max_sample_per_class = max_sample_per_class or np.max(list(y_count.values()))\n    resampled_idxes = []\n    random.seed(random_state)\n    for cur_y, count in y_count.items():\n        this_samples = np.min([multiply_limit * count, max_sample_per_class]).astype(int)\n        idxes = np.where(y == cur_y)[0]\n        idxes = random.choices(idxes, k=this_samples)\n        resampled_idxes += list(idxes)\n    return X[resampled_idxes], y[resampled_idxes]\n\ndef df_balance_class_by_limited_over_sampling(df, label_column,\n                                              max_sample_per_class=None, multiply_limit=2.,\n                                              random_state=42):\n    \"\"\"Balance class distribution in DataFrame with balance_class_by_limited_over_sampling.\"\"\"\n    X, y = list(range(len(df))), list(df[label_column])\n    X, _ = balance_class_by_limited_over_sampling(X, y, max_sample_per_class=max_sample_per_class,\n                                                  multiply_limit=multiply_limit, random_state=random_state)\n    return df.iloc[X].sort_index()\n\ndef digitize(y): return np.array(list(map(lambda x: int(x*10), y)))\ndef balance_train_data3(X, y, random_state=42):\n    X_index = np.array(range(len(X)))\n    y_as_label = digitize(y)\n    X_resampled_index, _ = balance_class_by_limited_over_sampling(X_index, y_as_label, multiply_limit=100.)\n    X_resampled_index = sorted(X_resampled_index)\n    return X[X_resampled_index], y[X_resampled_index]\nX_train_scaled3, y_train3 = balance_train_data3(X_train_scaled, y_train)","execution_count":16,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"params = {'num_leaves': 128,\n          'min_data_in_leaf': 79,\n          'objective': 'huber',\n          'max_depth': -1,\n          'learning_rate': 0.01,\n          \"boosting\": \"gbdt\",\n          \"bagging_freq\": 5,\n          \"bagging_fraction\": 0.8126672064208567,\n          \"bagging_seed\": 11,\n          \"metric\": 'mae',\n          \"verbosity\": -1,\n          'reg_alpha': 0.1302650970728192,\n          'reg_lambda': 0.3603427518866501,\n          'n_estimators': 3000,\n         }\noof_lgb3, prediction_lgb3, feature_importance3 = train_model(X=X_train_scaled3, y=y_train3,\n                                                             params=params, model_type='lgb', plot_feature_importance=True)","execution_count":19,"outputs":[{"output_type":"stream","text":"Fold 0 started at Sat Apr 13 06:11:28 2019\nTraining until validation scores don't improve for 200 rounds.\nDid not meet early stopping. Best iteration is:\n[1000]\ttraining's l1: 1.47305\tvalid_1's l1: 1.58429\nFold 1 started at Sat Apr 13 06:16:36 2019\nTraining until validation scores don't improve for 200 rounds.\nDid not meet early stopping. Best iteration is:\n[1000]\ttraining's l1: 1.4715\tvalid_1's l1: 1.60932\nFold 2 started at Sat Apr 13 06:21:44 2019\nTraining until validation scores don't improve for 200 rounds.\nDid not meet early stopping. Best iteration is:\n[1000]\ttraining's l1: 1.47325\tvalid_1's l1: 1.58126\nFold 3 started at Sat Apr 13 06:27:00 2019\nTraining until validation scores don't improve for 200 rounds.\nDid not meet early stopping. Best iteration is:\n[1000]\ttraining's l1: 1.47512\tvalid_1's l1: 1.59883\nFold 4 started at Sat Apr 13 06:32:07 2019\nTraining until validation scores don't improve for 200 rounds.\nDid not meet early stopping. Best iteration is:\n[1000]\ttraining's l1: 1.47281\tvalid_1's l1: 1.59392\nCV mean score: 1.5935, std: 0.0101.\n","name":"stdout"},{"output_type":"display_data","data":{"text/plain":"<Figure size 1152x864 with 1 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"plt.figure(figsize=(15, 6))\nplt.plot(y_train3, color='g', label='y_train')\nplt.plot(oof_lgb3, color='b', label='lgb')\nplt.legend(loc=(1, 0.5));\nplt.title('lgb')","execution_count":20,"outputs":[{"output_type":"execute_result","execution_count":20,"data":{"text/plain":"Text(0.5, 1.0, 'lgb')"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure size 1080x432 with 1 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"submission = pd.read_csv(DATA/'sample_submission.csv', index_col='seg_id')\nsubmission['time_to_failure'] = prediction_lgb3\nprint(submission.head())\nsubmission.to_csv('submission.csv')","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}