{
 "metadata": {
  "name": ""
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import pandas as pd\n",
      "from sklearn.decomposition import PCA\n",
      "from sklearn.cross_decomposition import PLSRegression\n",
      "from sklearn.linear_model import LinearRegression, RidgeCV, LassoCV\n",
      "from sklearn.cross_validation import cross_val_score\n",
      "from sklearn.grid_search import GridSearchCV\n",
      "from sklearn.pipeline import Pipeline\n",
      "from sklearn.preprocessing import StandardScaler\n",
      "from sklearn.preprocessing import Normalizer\n",
      "import numpy as np\n",
      "from sklearn.metrics import r2_score\n",
      "import seaborn as sb\n",
      "import pylab as pl\n",
      "\n",
      "%pylab inline --no-import-all"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Populating the interactive namespace from numpy and matplotlib\n"
       ]
      }
     ],
     "prompt_number": 20
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Load Data"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "## Soludity data obtained from book code 'AppliedPredictiveModeling'\n",
      "train_data = pd.read_csv('../data/solTrain.csv', )\n",
      "test_data = pd.read_csv('../data/solTest.csv')\n",
      "print train_data.shape, test_data.shape\n",
      "print train_data.columns"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "(951, 229) (316, 229)\n",
        "Index([u'FP001', u'FP002', u'FP003', u'FP004', u'FP005', u'FP006', u'FP007', u'FP008', u'FP009', u'FP010', u'FP011', u'FP012', u'FP013', u'FP014', u'FP015', u'FP016', u'FP017', u'FP018', u'FP019', u'FP020', u'FP021', u'FP022', u'FP023', u'FP024', u'FP025', u'FP026', u'FP027', u'FP028', u'FP029', u'FP030', u'FP031', u'FP032', u'FP033', u'FP034', u'FP035', u'FP036', u'FP037', u'FP038', u'FP039', u'FP040', u'FP041', u'FP042', u'FP043', u'FP044', u'FP045', u'FP046', u'FP047', u'FP048', u'FP049', u'FP050', u'FP051', u'FP052', u'FP053', u'FP054', u'FP055', u'FP056', u'FP057', u'FP058', u'FP059', u'FP060', u'FP061', u'FP062', u'FP063', u'FP064', u'FP065', u'FP066', u'FP067', u'FP068', u'FP069', u'FP070', u'FP071', u'FP072', u'FP073', u'FP074', u'FP075', u'FP076', u'FP077', u'FP078', u'FP079', u'FP080', u'FP081', u'FP082', u'FP083', u'FP084', u'FP085', u'FP086', u'FP087', u'FP088', u'FP089', u'FP090', u'FP091', u'FP092', u'FP093', u'FP094', u'FP095', u'FP096', u'FP097', u'FP098', u'FP099', u'FP100', u'FP101', u'FP102', u'FP103', u'FP104', u'FP105', u'FP106', u'FP107', u'FP108', u'FP109', u'FP110', u'FP111', u'FP112', u'FP113', u'FP114', u'FP115', u'FP116', u'FP117', u'FP118', u'FP119', u'FP120', u'FP121', u'FP122', u'FP123', u'FP124', u'FP125', u'FP126', u'FP127', u'FP128', u'FP129', u'FP130', u'FP131', u'FP132', u'FP133', u'FP134', u'FP135', u'FP136', u'FP137', u'FP138', u'FP139', u'FP140', u'FP141', u'FP142', u'FP143', u'FP144', u'FP145', u'FP146', u'FP147', u'FP148', u'FP149', u'FP150', u'FP151', u'FP152', u'FP153', u'FP154', u'FP155', u'FP156', u'FP157', u'FP158', u'FP159', u'FP160', u'FP161', u'FP162', u'FP163', u'FP164', u'FP165', u'FP166', u'FP167', u'FP168', u'FP169', u'FP170', u'FP171', u'FP172', u'FP173', u'FP174', u'FP175', u'FP176', u'FP177', u'FP178', u'FP179', u'FP180', u'FP181', u'FP182', u'FP183', u'FP184', u'FP185', u'FP186', u'FP187', u'FP188', u'FP189', u'FP190', u'FP191', u'FP192', u'FP193', u'FP194', u'FP195', u'FP196', u'FP197', u'FP198', u'FP199', u'FP200', u'FP201', u'FP202', u'FP203', u'FP204', u'FP205', u'FP206', u'FP207', u'FP208', u'MolWeight', u'NumAtoms', u'NumNonHAtoms', u'NumBonds', u'NumNonHBonds', u'NumMultBonds', u'NumRotBonds', u'NumDblBonds', u'NumAromaticBonds', u'NumHydrogen', u'NumCarbon', u'NumNitrogen', u'NumOxygen', u'NumSulfer', u'NumChlorine', u'NumHalogen', u'NumRings', u'HydrophilicFactor', u'SurfaceArea1', u'SurfaceArea2', u'Target'], dtype=object)\n"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Preprocessing"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "## preprocess data\n",
      "## leave alone binary data\n",
      "## box-cox transform, center, scale numeric data (integers and floats)\n",
      "binary_features = [f for f in train_data.columns if f.startswith('FP')]\n",
      "target_features = ['Target']\n",
      "numeric_features = train_data.columns - binary_features - target_features\n",
      "print numeric_features"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Index([u'HydrophilicFactor', u'MolWeight', u'NumAromaticBonds', u'NumAtoms', u'NumBonds', u'NumCarbon', u'NumChlorine', u'NumDblBonds', u'NumHalogen', u'NumHydrogen', u'NumMultBonds', u'NumNitrogen', u'NumNonHAtoms', u'NumNonHBonds', u'NumOxygen', u'NumRings', u'NumRotBonds', u'NumSulfer', u'SurfaceArea1', u'SurfaceArea2'], dtype=object)\n"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "## Box-Cox Transformation\n",
      "from sklearn.base import BaseEstimator, TransformerMixin\n",
      "from scipy.stats import skew\n",
      "class BoxCoxTransformation(BaseEstimator, TransformerMixin):\n",
      "    def __init__(self):\n",
      "        pass\n",
      "    def fit(self, X, y = None):\n",
      "        n_features = X.shape[1]\n",
      "        self.gammas_ = np.zeros(n_features)\n",
      "        for i in range(n_features):\n",
      "            self.gammas_[i] = self._fit_boxcox(X[:, i])\n",
      "        return self\n",
      "    def transform(self, X):\n",
      "        assert X.shape[1] == self.gammas_.shape[0]\n",
      "        XX = X.copy()\n",
      "        for i, gamma in enumerate(self.gammas_):\n",
      "            XX[:, i] = np.log(X[:, i]) if gamma == 0 else (X[:, i] ** gamma - 1.)/ gamma\n",
      "        return XX\n",
      "    def _fit_boxcox(self, x):\n",
      "        gammas = np.array([-3, -2, -1., 0, 0.5, 1.])\n",
      "        scores = np.empty_like(gammas)\n",
      "        scores[:] = 100\n",
      "        for i, gamma in enumerate(gammas):\n",
      "            if gamma == 0:\n",
      "                xx = np.log(x)\n",
      "            else:\n",
      "                xx = (x ** gamma - 1.)/ gamma\n",
      "            try:\n",
      "                scores[i] = skew(xx)\n",
      "            except Exception, ex:\n",
      "                pass\n",
      "        boxcox_gamma = gammas[np.nanargmin(np.abs(scores))]\n",
      "        #boxcox_xx = np.log(x) if boxcox_gamma == 0 else (x ** boxcox_gamma - 1.)/ boxcox_gamma\n",
      "        return boxcox_gamma"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "preprocesser = Pipeline(steps = [\n",
      "    ('boxcox', BoxCoxTransformation()),\n",
      "    ('standarizer', StandardScaler())\n",
      "])\n",
      "train_X = np.c_[np.asarray(train_data.loc[:, binary_features]),\n",
      "                preprocesser.fit_transform(np.asarray(train_data.loc[:, numeric_features]))]\n",
      "test_X = np.c_[np.asarray(test_data.loc[:, binary_features]),\n",
      "                preprocesser.transform(np.asarray(test_data.loc[:, numeric_features]))]\n",
      "train_y = np.asarray(train_data.loc[:, target_features]).ravel()\n",
      "test_y = np.asarray(test_data.loc[:, target_features]).ravel()\n",
      "feature_names = list(binary_features) + list(numeric_features)\n",
      "print train_X.shape, test_X.shape, train_y.shape, test_y.shape\n",
      "print preprocesser.named_steps['boxcox'].gammas_"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "(951, 228) (316, 228) (951,) (316,)\n",
        "[ 1.   0.   0.5  0.   0.   0.5  0.5  0.5  0.5  0.5  0.5  0.5  0.   0.5  0.5\n",
        "  0.5  0.5  0.5  0.5  0.5]\n"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "## IN CASE YOU ARE SKEPTICAL\n",
      "## OUTPUT SKEWNESS and OUTLIERS\n",
      "print BoxCoxTransformation()._fit_boxcox(train_data[target_features])\n",
      "sb.kdeplot(train_data[target_features])\n",
      "pl.figure()\n",
      "sb.boxplot(train_data[target_features])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "1.0\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 6,
       "text": [
        "<matplotlib.axes.AxesSubplot at 0x113666890>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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58y3XKSoqwrPPPouCggLrOhyGoZmqoW0AZ9sH8PzGBR67czE9QQ9RBE63XkHu/Aip4xDu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\nsRMReRgWOxGRh2GxExF5GBY7EZGH+f8CTMypp6nRVgAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x113584f50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0x113584b50>"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "## test colinearity in features by scree plot and corrplot\n",
      "pl.figure(figsize = (25, 25))\n",
      "sb.corrplot(train_X[:, len(binary_features):], names = numeric_features)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 7,
       "text": [
        "<matplotlib.axes.AxesSubplot at 0x11365db10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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aNSvh4Wn/fJDuIwATR/4BnDlzmr/++pPLly9z6dJflC9fgYoVK3P+/O8YjUae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3jyySdZuXI58+fPZe3aTYZfYwYerv327dvL8OGDWb48hDJlXgKgePHnuHjxQpLlKlasTOXKVdi9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33bEsXvwpderUoHv3zjRt+gIPP/wIhmFkqXfN7XY7gwYNo0mThsTEPMMLLzQnf/67OH/+HC+9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Lk5e/Y0LVo05sSJP/Hy8qJw4cLUrFknXeu806Sjr68v69ZtwtfXF4Dk5GR8fX2pUaMW9es3\nAG59fCZOfIPnn3+B3Llzp1MVt3c/9UVENCMioikATqeBzZbSRpk7dxFWq/WmSU6RjCpj/IpIRERE\nRERE6N37efbt28033+ykU6cuVKtWAwCHw0G5chXo3/9Fmjdvibe3F3Z7SiMiIzX/gNtOxP1VUFAw\nNWvWvuXz16+P5JFHSlK0aIhrm81mo2/fFxg+/CVatHjGPcHvoHLlJ9m0aQMAu3btpFSp0q59xYoV\n59ixo1y5cpnExES++247lSo9wRNPVOGrrzYBcPbsGeLjr5EtWzY6dGjD778fBSBLlizYbDZGjhxD\nZORXrFixljZt2tGzZ990b/7B7ScdIeV9ljNnTgA++GA2165dpUaNWq7H3er4XLhwgW++2Ubbtu3T\nsYrbu5/6smTJQpYsWYmLi6Vbt44MH/4qgGuSs3r1J7h8OSrVe0IkI9IEoIiIiIiISAawf/9vbNu2\nlZIlS3P48CG+/fZrFi6cj5+fH/Xr1yQxMYEmTZozatRY8uTJm+Em/yZMGMv333/Hb7/9wmOPPe7a\nHhcXS3DwvU/tffbZUrp373XT9pkzZ/Pqq+dp2LA233yzEz8/vzTJfS8aNYpgy5bNhIfXA+Ctt2ax\nfPkyrl69SocOnRkzZjxt2rTA6XTSvn0H8uTJS716efnuu28JC6uF0+lkwoSpWK1W+vV7kb59e+Lt\n7Y2/vz/Tpr2dbnXczZ0mHW/cHzPmVX7//Rhz5y5K9dxbHZ81a1bSsmXrDPM+vd/6Tp06yXPPPUuX\nLs/TvHkr1/aCBR9ix449rknOmTNnp08hIvdBDUARERERERGTGYZByZKlmDLlTaZOnUj79q25fDmK\nCROm4OXlze7duzh9+jTlylUgT568QMab/Bs2bASQsnSyatVKXLlyGX//LHz33XZ69+5/z6+zd+8e\nKlWq7Lq/dOnHnDlziv79X8TPzxer1Zru5zu0WCxMnjw91baQkFDX7fr1G7iWwf7VyJFjbtpWqVJl\n1qzZcNvPNWTIy/8i6b9TufKTrF8fSZMmzW+adAQYPLg/Pj6+zJ+/2PX+u9Px2bp1C4MHD033Om7n\nfuo7f/48rVs3Y+LEaVStWt312A4d2jBmzDiKFAlxTXKKe2SUixtldmoAioiIiIiImCg5Odm1nDcs\nrCHZsmXjxRf7UbDgQ5QpU55KlSrz7LOdSEpKwsvLK8NN/v2d3W6/5UTc5ctRDBrUj3nzUk+O/bWW\nixcvplo+DBAR0ZR+/XrStGlDkpOTGDt2Ij4+PulSy4PmTpOOFSo8yuLFC6lS5WlatEi52EX37r3u\neHyOHTtC4cIPm1XOTf5pfc8/35Pt278mJiaGqVMnMnXqRACWLPksQ09yityKGoAiIiIiIiImMQwD\nu92Ow+Fg0KC+JCcn0bfvIN59dw6DBvVjxIihDB06nNq16+Hl5QVkvMm/W7nVRFy2bNlvav61adMu\n1f2cOXPy5Zdfp9rm5+fHnDnz3ZJTUrvbpOPZs1du+bzbHZ9t275Ps2xp4X7qa9SoMWPHTrxp+90m\nOUUyGl0ERERERERExATJycmuZt6QIQPYt28Pv/76Cy1bRuDj48ukSdOIj79GYGD6X/VWREQ8ixqA\nIiIiIiIi6czhcGC323E6ncycOZ2YmBhmz57L7NlzKVu2PGFhtfD19WPt2o08/nglnQNLRB5YTsOz\nPu5FfHw8LVu2pHr16oSHh3Px4sWbHhMZGUmVKlWoUqUK/fr1u+trqgEoIiIiIiKSjhwOBzabDcMw\n6NTpP8yZM5vVq1cybtxrPPxwEV59dTTlypXnwoXzBAQE3v0FRUTEo8yaNYvy5cuzbds2OnbsyNix\nY1Ptj42N5aWXXmLt2rV89913FChQgAsXLtzxNdUAFBERERERSSeGYbiaf6+88hIxMTFs27aD11+f\nwJ9//kGPHs9RpEgIixcvo3r1mq7Jv8xw3j8REUkb3377LQ0apJxHtUGDBmzatCnV/u3bt1O2bFkG\nDRpE9erVyZcvH7ly5brja+oiICIiIiIiIunA6XRitabMYFy7dpV9+/awZ89u1qz5nO7de5KQcJ0F\nC+Zy9OhhypYtb3LatHf69CnWr19H0aKhBAQEsG7dGlq1akP+/PmJiopi2rRJjBgxmqCgYF3lNwPy\n9OPn6fVJxvXhhx8yY8aMVNvy5MnjuiJ6QEAA0dHRqfZfvHiRzZs3s2/fPrJkyUK1atWoUqUKxYoV\nu+3nUQNQREREREQkHVitVgzD4NlnW9OgQThLl67ihRe6MG/eBwD07TuQpk1bUKhQYQzDwGKxeNTk\n36FDB1m4cAHBwcHUrl2XVauWc/ToEUaOfI0tW77iyy83YLPZGD581F0nWST9efrx8/T6MjPjXk+c\nl0l17dqVrl27ptrWsmVLYmNjgZTlvsHBqS8GlTNnTipVqkTu3LkBqF69Onv37lUDUERERERExGyG\nYXDp0iW8vLwZP34Mfn5+vPPO+3Tu3J63355BnTr1KFSosNkx3aZcuQq0bPkMUVFR1KpVl6CgYI4d\nO0qRIiGcPHmS8eOncPDgATVXMihPP36eXp9kLk8//TTr1q2jUqVKREZGUr169VT7H330UX755Rcu\nXbpEUFAQO3bsoHv37nd8TTUARURERERE3GTx4oVUrvwkoaHFWLBgLk2aNGf8+MlMmTKBYcMGY7FY\nmD//vxw7dpR8+fK7nudJk383ZM+end69+7vuly5dxnW7WrUaZkSSf8DTj5+n1yeZS8+ePenUqRPV\nqlXDx8eHxYsXAzB9+nRCQ0OJiIhg/PjxhIWFAdCmTRtKlSp1x9dUA1BERERERMQNvv56KwMH9qFt\n2/b4+2dh8eKPOHnyBL169WPAgMFs27aVYcMG89RTValQ4TFd8ENERADw8/Nj6dKlN20fOHCg63ab\nNm1o06bNPb+mrgIsIiIiIiLiBtWq1WDSpOls3boZLy87Tz9djdWrVzJp0ji+/fZrQkJCWbFijWvy\nz9PO+ScikhYMw7M+zKIJQBERERERkTT09tszsNnshIU1pFOnLlgsFt55500aNYrA4XCyY8d2Vq36\njClT3qRMmXKa/BMREbdTA1BERERERCSNbNu2hddfHwWkNAIdjmSaNWvFxYsXWbPmc6pXr0GHDp14\n9NGKFChQUM0/ERFJF1oCLCIiIiIikkaefPIppk59i4CAQB566CEGDBhCVNQl8ufPz59/HmfRogUU\nKVKUAgUKup6j5p+IiLibJgBFRERERETSiLe3N61b/4fExASGD3+J8PAmzJ79IRaLhUOHDuJ0OilZ\n8v+v1Kjmn4jInTmdJp44z4OoASgiIiIiIpKGvL296dixC4mJSbzxxmjOnDnNuHGTKVHiEQAt+xUR\nkXSnJcAiIiIiIiJpzG63061bD4YNG8GHH77PkSOHXft0tV8REUlvagCKiIiIiIi4gd1up0eP3uzc\n+ROhocXMjiMiIg8wLQEWERERERFxE7vdTqFChYGUpb+a/BMR+WdunDZB/h1NAIqIiIiIiKQDNf9E\nRMQsagCKiIiIiIiIiIh4MDUARUREREREREREPJjOASgiIiIiIiIiIhmS4TQ7gWfQBKCIiIiIiIiI\niIgHsxj/8HIqiYnJOJMT3ZXHVN4+PgAk/3HI5CTuYc9XCIDk03+anMQ97PkLYbFacV48bXaUNGfN\nmR+A5HMnTE7iHrbcBQFIOH7U5CTu4V2oCADJJudwFy8fPwCc12JMTuIeNr+sACQmet73Pi8fXwCS\nEq5jT4o3OU3as2YJAuD6kQMmJ3GPG/+2kHjN3CBuYs0aDMD1IwdNTuIeN47f9WNHTE6S9nyLhAJw\n/fcjeD/8sLlh3ODG9wVHfByGd1aT06Q9u90GQHKyw+Qk7qH6Mi9Prg1S6rNadaGgvzMMg6HvXTc7\nRpqa9IKfKZ9XE4AiIiIiIiIiIiIe7B+fAzA6Oh7nBc/8TXq2wiUAcBzabnIS97AFp/wm/ZARbHIS\n9yiCHe8zx4lZOM3sKGkusMMgAK4tn2VyEvfI8kwfACwHt5gbxE0sObMBsO9iFpOTuMcjhVKmp72+\nXW5yEvewVG4EwPdnAk1OkvbKPZzy50/HofSnL5sZxS0COw0G4IyXOb9ldbd8lpRJiJjTf5icxD2y\nFU6ZUOWnL8wN4i7Z2wBgPfmjyUHcIH8eIKW2xB9WmBwm7fk27AxAYuR89jw52NwwblC2cMq/mT//\nEU+JXCaHcYOgoJT6oqM9b/IdPLs+T64NUurz9tZlGm7F+c8WrsptaAJQRERERERERETEg6kBKCIi\nIiIiIh7D6dQlQ0VE/k4NQBEREREREfEIycnJWK1Wrly5zIkTf3rkRbxERO6HGoAiIiIiIiLiEex2\nO3/8cZx69Wry4Yfvs3fvHhISEoCUq4mKiDyodIZJERERERERybQMw+DUqZMULPgQV6/G0bp1M5o1\na0Hu3HmYP38OSUnJjBkzjnz58psdVUTug5r3aUMTgCIiIiIiIpJpPf98Z5o3D+fIkcOcPn0au93O\nuXNnmTRpHMHB2di7dw9nz54xO6aIiKnUABQREREREZFMa/jwkQC8/PJgoqOjadasJSVKlKR//0GU\nKlWG+Phr5M9fwOSUIiLm0hJgERERERERyXQcDgc2m42AgEBq1KjFwoXz8fb2ZtSosRw48BurVq1g\n9+5dLFr0CXny5DU7roiIqTQBKCIiIiIiIpmOzWYjKiqKOnWqki1bdiZMmMIvv/zMa6+NIF++Agwb\nNoL167dQocJjZkcVkX/B6TQ86sMsmgAUERERERGRTMPpdGK1psyynDp1AsMwqF+/IZUqVcZmszNk\nyABsNhsffPAR3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       "text": [
        "<matplotlib.figure.Figure at 0x11365d150>"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "pca = PCA()\n",
      "pca.fit(train_X[:, len(binary_features):])\n",
      "R2 = pd.DataFrame(pca.explained_variance_ratio_, \n",
      "                  index=['pca%i' % i for i in range(len(numeric_features))])\n",
      "R2.plot(kind = 'bar', figsize=(50, 20))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 8,
       "text": [
        "<matplotlib.axes.AxesSubplot at 0x1145e1250>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
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       "text": [
        "<matplotlib.figure.Figure at 0x1145e6590>"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "## any outliers? \n",
      "pl.figure(figsize=(16, 16))\n",
      "sb.boxplot(train_X[:, len(binary_features):], names=numeric_features)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 9,
       "text": [
        "<matplotlib.axes.AxesSubplot at 0x1149f9b50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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1/L2zV9UuRpvNZm644RNJkmc/+5drtapEe/r1B3LdLtUdHx/P2rVrkiQXXHBx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\nABb3/wAKLeodAyhsAAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1149f9e50>"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### PCA + Linear Regression"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "clf = Pipeline(steps = [\n",
      "    ('pca', PCA()),\n",
      "    ('lr', LinearRegression())\n",
      "])\n",
      "params = {'pca__n_components': [2, 5, 10, 15, 20, 30, 40, 50]}\n",
      "gs = GridSearchCV(clf, params, cv = 10, n_jobs=1)\n",
      "gs.fit(train_X, train_y)\n",
      "print gs.best_params_\n",
      "print gs.score(train_X, train_y)\n",
      "print gs.score(test_X, test_y)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "{'pca__n_components': 50}\n",
        "0.894187857392\n",
        "0.859656453287\n"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "XX = PCA(n_components=50).fit_transform(train_X)\n",
      "sb.regplot(XX[:, 0], train_y, )\n",
      "sb.regplot(XX[:, 1], train_y, )"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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DGCeBYIpRNC7JtMWR1iBEHDFVJEkiEtKYOy2KOsTkhsEW4PYO2VUqsWIqMac+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\nAIANGzbg/vvvH/BR9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       "text": [
        "<matplotlib.figure.Figure at 0x1139e7150>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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vyTAMWlpaOX78eGkv5447fsxtt32ZaDTK9773o0Hv7+7du1iwYFHFY//zP/9F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\nTsE5sTZkrjmJPIdw0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       "text": [
        "<matplotlib.figure.Figure at 0x1139e74d0>"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### PLS + Linear Regression"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "## PLS DOESNT SUPPORT A PIPELINE DUE TO ITS ASSUMPTION ON Y shape\n",
      "## AND IT IS NOT SUPPOSED TO BE USED THAT WAY - ITS A LINEAR REGRESSOR BY ITSELF\n",
      "clf = Pipeline(steps = [\n",
      "    ('pls', PLSRegression()),\n",
      "    ('lr', LinearRegression())\n",
      "])\n",
      "params = {'pls__n_components': [2, 5, 10, 15, 20, 30, 40, 50]}\n",
      "\n",
      "gs = GridSearchCV(clf, params, cv = 3, n_jobs=1)\n",
      "gs.fit(train_X, np.asarray([train_y]))\n",
      "print gs.best_params_\n",
      "print gs.score(train_X, train_y)\n",
      "print gs.score(test_X, test_y)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "ename": "ValueError",
       "evalue": "Found array with dim 1. Expected 951",
       "output_type": "pyerr",
       "traceback": [
        "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mValueError\u001b[0m                                Traceback (most recent call last)",
        "\u001b[0;32m<ipython-input-12-150eaaa37b78>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m      8\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m \u001b[0mgs\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mGridSearchCV\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mclf\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mparams\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcv\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m3\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mn_jobs\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m \u001b[0mgs\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtrain_X\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0masarray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mtrain_y\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     11\u001b[0m \u001b[0;32mprint\u001b[0m \u001b[0mgs\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbest_params_\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     12\u001b[0m \u001b[0;32mprint\u001b[0m \u001b[0mgs\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mscore\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtrain_X\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtrain_y\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
        "\u001b[0;32m/Library/Python/2.7/site-packages/sklearn/grid_search.pyc\u001b[0m in \u001b[0;36mfit\u001b[0;34m(self, X, y, **params)\u001b[0m\n\u001b[1;32m    705\u001b[0m                           \u001b[0;34m\" The params argument will be removed in 0.15.\"\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    706\u001b[0m                           DeprecationWarning)\n\u001b[0;32m--> 707\u001b[0;31m         \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_fit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mParameterGrid\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mparam_grid\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    708\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    709\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
        "\u001b[0;32m/Library/Python/2.7/site-packages/sklearn/grid_search.pyc\u001b[0m in \u001b[0;36m_fit\u001b[0;34m(self, X, y, parameter_iterable)\u001b[0m\n\u001b[1;32m    461\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    462\u001b[0m         \u001b[0mn_samples\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0m_num_samples\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 463\u001b[0;31m         \u001b[0mX\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mcheck_arrays\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mallow_lists\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mTrue\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msparse_format\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'csr'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    464\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    465\u001b[0m         self.scorer_ = _deprecate_loss_and_score_funcs(\n",
        "\u001b[0;32m/Library/Python/2.7/site-packages/sklearn/utils/validation.pyc\u001b[0m in \u001b[0;36mcheck_arrays\u001b[0;34m(*arrays, **options)\u001b[0m\n\u001b[1;32m    209\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0msize\u001b[0m \u001b[0;34m!=\u001b[0m \u001b[0mn_samples\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    210\u001b[0m             raise ValueError(\"Found array with dim %d. Expected %d\"\n\u001b[0;32m--> 211\u001b[0;31m                              % (size, n_samples))\n\u001b[0m\u001b[1;32m    212\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    213\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mallow_lists\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mhasattr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0marray\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"shape\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
        "\u001b[0;31mValueError\u001b[0m: Found array with dim 1. Expected 951"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "clf = PLSRegression()\n",
      "params = {'n_components': [2, 5, 10, 15, 20, 30, 40, 50]}\n",
      "gs = GridSearchCV(clf, params, cv = 10, n_jobs=1)\n",
      "gs.fit(train_X, train_y)\n",
      "print gs.best_params_\n",
      "print gs.score(train_X, train_y)\n",
      "print gs.score(test_X, test_y)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "{'n_components': 15}\n",
        "0.930483998989\n",
        "0.880719668867\n"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "XX = gs.transform(train_X)\n",
      "sb.regplot(XX[:, 0], train_y, )\n",
      "sb.regplot(XX[:, 1], train_y, )"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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MLgZT7FAS0ElnbDKWg6bIGLqMIu8fcXJdl4aGBtLpZMHc8oYN65gy5YA93l9V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K677kZTU6IOl6qqqKmpQWNjkyFjleTcQJQvI66QZyj5lrI4jhuuppD41U4mNaQHMcdEVMMtkbEu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\nQ8GJEEKI6VBwIoQQYjr/B7znfttE17PGAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x113cc3e50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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aGCIEAsGhMdom2VSu2jiUyVskoxrJ2ODmpXqRlO/7lGwX2/FQFRlDlw96Gb4v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hAAAg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\nEVHgMDgREVHgMDgREVHg/H/1AxnVWbqa7QAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x113cc3cd0>"
       ]
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## RigdeRegression - a lot of features making small contributions (not sees to be the way)"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "clf = RidgeCV(alphas = [0.01, 0.03, 0.1, 0.3, 1.0, 3.0, 10], cv = 5)\n",
      "clf.fit(train_X, train_y)\n",
      "print clf.alpha_\n",
      "print clf.score(test_X, test_y)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "3.0\n",
        "0.885287787989\n"
       ]
      }
     ],
     "prompt_number": 49
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "selected = [i for i, f in enumerate(clf.coef_) if abs(f) > 0]\n",
      "print len(selected), 'features selected'\n",
      "feature_importances = pd.DataFrame(clf.coef_[selected], \n",
      "                                   index = np.array(feature_names)[selected])\n",
      "feature_importances.plot(kind = 'bar', figsize = (16, 16))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "228 features selected\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 50,
       "text": [
        "<matplotlib.axes.AxesSubplot at 0x119a7cd90>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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6crlcylVBOioDhmKxGDd/6f7SxI7bt22KlSs3pFwlAJAEgQNAg+Xz++Km2+4t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\nnvZc7/6Lu86q0gamb8/V9h8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Z79mzRyNHjvTsX3t7fft/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\nAACQExwAAACAnOAAAAAA5N7jeQN1n0XTngAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x119606650>"
       ]
      }
     ],
     "prompt_number": 50
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "np.asarray(feature_names)[np.abs(clf.coef_).argsort()[:-20:-1]]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 51,
       "text": [
        "array(['NumAromaticBonds', 'NumNonHBonds', 'NumOxygen', 'NumCarbon',\n",
        "       'SurfaceArea1', 'FP154', 'MolWeight', 'FP142', 'FP111', 'FP109',\n",
        "       'FP127', 'FP164', 'FP173', 'FP076', 'FP130', 'FP171', 'FP184',\n",
        "       'FP176', 'NumChlorine'], \n",
        "      dtype='|S17')"
       ]
      }
     ],
     "prompt_number": 51
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Lasso - a moderate number of features making big contributions"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "clf = LassoCV(cv = 5, )\n",
      "clf.fit(train_X, train_y)\n",
      "print clf.alpha_\n",
      "print clf.score(test_X, test_y)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "0.00357773977666\n",
        "0.885057776694\n"
       ]
      }
     ],
     "prompt_number": 45
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "selected = [i for i, f in enumerate(clf.coef_) if abs(f) > 0]\n",
      "print len(selected), 'features selected'\n",
      "feature_importances = pd.DataFrame(clf.coef_[selected], \n",
      "                                   index = np.array(feature_names)[selected])\n",
      "feature_importances.plot(kind = 'bar', figsize = (16, 16))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "103 features selected\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 46,
       "text": [
        "<matplotlib.axes.AxesSubplot at 0x11954df10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0x119569e10>"
       ]
      }
     ],
     "prompt_number": 46
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "np.asarray(feature_names)[np.abs(clf.coef_).argsort()[:-20:-1]]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 48,
       "text": [
        "array(['SurfaceArea1', 'NumNonHBonds', 'NumCarbon', 'FP142', 'MolWeight',\n",
        "       'FP002', 'FP127', 'FP039', 'NumOxygen', 'NumAromaticBonds', 'FP154',\n",
        "       'FP111', 'FP083', 'FP164', 'FP124', 'FP202', 'FP099', 'FP173',\n",
        "       'FP053'], \n",
        "      dtype='|S17')"
       ]
      }
     ],
     "prompt_number": 48
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Random Forest for Features"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from sklearn.ensemble import ExtraTreesRegressor\n",
      "trees = ExtraTreesRegressor(100, max_features='auto', )\n",
      "trees.fit(train_X, train_y)\n",
      "print trees.score(test_X, test_y)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "0.899405478203\n"
       ]
      }
     ],
     "prompt_number": 65
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "feature_importances = trees.feature_importances_\n",
      "np.asarray(feature_names)[feature_importances.argsort()[:-40:-1]]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 66,
       "text": [
        "array(['FP076', 'NumCarbon', 'MolWeight', 'NumNonHAtoms', 'NumNonHBonds',\n",
        "       'SurfaceArea1', 'SurfaceArea2', 'FP072', 'NumBonds',\n",
        "       'NumAromaticBonds', 'FP009', 'FP092', 'NumHalogen', 'FP044',\n",
        "       'NumChlorine', 'FP015', 'FP075', 'FP116', 'NumAtoms', 'NumOxygen',\n",
        "       'FP059', 'HydrophilicFactor', 'FP063', 'FP070', 'NumRotBonds',\n",
        "       'NumMultBonds', 'FP105', 'FP141', 'FP161', 'FP112', 'NumHydrogen',\n",
        "       'NumNitrogen', 'FP096', 'FP178', 'FP068', 'FP013', 'FP082', 'FP006',\n",
        "       'FP168'], \n",
        "      dtype='|S17')"
       ]
      }
     ],
     "prompt_number": 66
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "pd.DataFrame(feature_importances, index=feature_names).plot(kind='bar', figsize = (32, 32))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 67,
       "text": [
        "<matplotlib.axes.AxesSubplot at 0x11a81d110>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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elXH8K6SdlHOc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\npqaSra0tERHFx8eTn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       "text": [
        "<matplotlib.figure.Figure at 0x11a7d8990>"
       ]
      }
     ],
     "prompt_number": 67
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sb.boxplot(train_data.Target, groupby=train_data.FP076, )"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 68,
       "text": [
        "<matplotlib.axes.AxesSubplot at 0x11d0b9910>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0x11d0b5c10>"
       ]
      }
     ],
     "prompt_number": 68
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sb.lmplot(x = 'MolWeight', y = 'Target', data = train_data)\n",
      "## slight outliers in y"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Olo3rUoPrzthXX10JnU4HrVaLl156hdfY3Nn6GxvN0Gg0Dl34GhrqsXLlMtTX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\ngrEsAoHgByiaG+YhEAgEHxPSGb82mw3Tpk1DcnI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       "text": [
        "<matplotlib.figure.Figure at 0x113a0a390>"
       ]
      }
     ],
     "prompt_number": 69
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### SVR"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from sklearn.svm import SVR\n",
      "svr = SVR()\n",
      "gammas = [0.0001, 0.0003, 0.001, 0.003, 0.01, 0.03, 0.1, 0.3, 1]\n",
      "gs = GridSearchCV(svr, {'gamma': gammas}, cv = 10)\n",
      "gs.fit(train_X, train_y)\n",
      "print gs.best_score_\n",
      "print gs.best_params_"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "-1.80315685695\n",
        "{'gamma': 0.01}\n"
       ]
      }
     ],
     "prompt_number": 76
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "svr.set_params(gamma = 0.01)\n",
      "svr.fit(train_X, train_y)\n",
      "print svr.score(test_X, test_y)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "0.903302338807\n"
       ]
      }
     ],
     "prompt_number": 77
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}