sshojiro/svr_contrib.ipynb Secret

## svr_contrib.ipynb
{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "svr_contrib.ipynb",
      "provenance": [],
      "collapsed_sections": [],
      "authorship_tag": "ABX9TyOLixSs7/09++zVyWGnY8Lc",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/gist/sshojiro/8f6051e6629f709e4aeb247f0b8b5dd4/svr_contrib.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "OETeyUQwJf5Y",
        "colab_type": "text"
      },
      "source": [
        "# SVR Contribution\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "KqHDyUjnJOva",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "from sklearn.datasets import load_diabetes\n",
        "from sklearn.model_selection import train_test_split, GridSearchCV\n",
        "from sklearn.svm import SVR\n",
        "from sklearn.preprocessing import StandardScaler\n",
        "from sklearn.pipeline import make_pipeline\n",
        "\n",
        "from scipy.spatial.distance import cdist \n",
        "import numpy as np\n",
        "import pandas as pd \n",
        "\n",
        "import matplotlib.pyplot as plt \n",
        "import matplotlib as mpl \n",
        "mpl.rcParams['figure.figsize'] = [12,12]\n",
        "\n",
        "from warnings import filterwarnings \n",
        "filterwarnings('ignore')"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "xAb81Ex_JUQx",
        "colab_type": "code",
        "outputId": "a19d297b-2dc6-4246-a5d3-f0e85e3a68ab",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 71
        }
      },
      "source": [
        "data = load_diabetes()\n",
        "data['data'].shape, data['target'].shape, data['feature_names']"
      ],
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "((442, 10),\n",
              " (442,),\n",
              " ['age', 'sex', 'bmi', 'bp', 's1', 's2', 's3', 's4', 's5', 's6'])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 15
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "m3kK8l2QJn4x",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "X = pd.DataFrame(data['data'], columns=data['feature_names'])\n",
        "y = pd.DataFrame(data['target'], columns=['target'])"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "TQv7j8saJ10S",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "Xtrain, Xtest, ytrain, ytest = train_test_split(X, y, test_size=.25, random_state=66)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "HXo2IqZqJ3lm",
        "colab_type": "code",
        "outputId": "e049e64c-60b8-4f11-abec-5b044959646b",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 53
        }
      },
      "source": [
        "%%time \n",
        "params = {'svr__epsilon': np.logspace(-4, 4, 10),\n",
        " 'svr__C': np.logspace(-4, 4, 10),\n",
        " 'svr__gamma': np.logspace(-4, 4, 10),\n",
        " }\n",
        "pipeline = make_pipeline(StandardScaler(), SVR())\n",
        "model = GridSearchCV(pipeline, params, cv = 3)\n",
        "model.fit(Xtrain, ytrain)"
      ],
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "CPU times: user 36.6 s, sys: 1.9 ms, total: 36.6 s\n",
            "Wall time: 36.7 s\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "IoUkppJ7MAko",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "k_rbf = lambda x,y,g:np.exp(-g*np.linalg.norm(x-y)**2.)\n",
        "mm = model.best_estimator_.steps[-1][-1]\n"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "iGACB1jDMq1n",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "x_sc = model.best_estimator_.steps[0][-1].transform(Xtrain)\n",
        "C = cdist(mm.support_vectors_, x_sc, lambda a,b: k_rbf(a,b, mm.gamma))\n",
        "yc=(mm.dual_coef_ @ C).T"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Cly3OVVSO5hA",
        "colab_type": "text"
      },
      "source": [
        "## SVR動作確認\n",
        "\n",
        "$$\n",
        "f({\\bf x})=\\sum_{i\\in SV} \\alpha_i k({\\bf x}_i,{\\bf x}) + b_0\n",
        "$$\n",
        "\n",
        "であることを確認する。'rbf'カーネルのとき、$\\alpha_i$は\n",
        "\n",
        "`svr.dual_coef_[i]`、$b_0$は`svr.intercept_`であることを\n",
        "\n",
        "\n",
        "確かめる。\n",
        "\n",
        "(線形カーネルの場合は`dual_coef_`の代わりに`coef_`を使うはず)\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "qUyBpQxROCHU",
        "colab_type": "code",
        "outputId": "6601ecf3-d595-4d03-a1f0-60e0103f8b6d",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 700
        }
      },
      "source": [
        "ycalc = model.predict(Xtrain)\n",
        "plt.plot(ycalc, yc+mm.intercept_, 'o')\n",
        "plt.axis('square') # SVR完全に理解した\n",
        "plt.show()"
      ],
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
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zi3fsxCbJ8q2VvPq1t3PpmccHVBUMN4EWAIbAeptBs8UBsHYHw2DcCbQAMGCb2wy2Ys4s\ntGbKAQAM2FZtBhuZMwvt2aEFgAFr104w7QAYdCTQAsAAbBzN9Z5SslLdfRfY9NSkg2DQBYEWAPps\nc8/sVmFWmwF0T6AFgD5r1TM7UUq+X1XmzMI2CbQA0Getema/X1V58/mP97kaqD+BFgD6oJueWaO5\n4N4ItADQY3pmobcEWgDoMT2z0FsCLQD0SKfrbPXMwu4QaAGgB2YaCzl/+Xrubi54l55Z2B0CLQDs\nstPnXsulN95p+46eWdg9Ai0A7KJuwqzrbGF3CbQAsEu6DbOus4Xd9Z5BFwAAo2CmsdAxzJZEmwH0\ngEALADvUmG/mxcvXO753+tgBbQbQAwItAOzA+qUJnRw/uDfPnjzch4pg/Ai0ALADrS5N2Oj4wb05\n/+kP96kiGD8OhQHAPejmAFgizEI/2KEFgG3qNsw+deyAMAt9YIcWALapm0sTnnvisANg0CcCLQDs\nIpcmQP8JtACwi1yaAP2nhxYAtun4wb3bWgd6S6AFgG06/+kP3xVeTTOAwdFyAAAtzDQWcuHKjaxU\nVSZKyamj+29fjiC8wvAQaAFgCx/9/Ffy9be+d/v7laq6fb2tG79guGg5AIBNTp977Y4wu9GFKzf6\nXA3QiUALABvMNBbazpldqao+VgN0Q6AFgDWN+WbOr7UVtDJRSp+qAbqlhxYA0v11tqeO7u9DNcB2\n2KEFYOx1G2YfeuA+B8JgCAm0AIy9bsLs8YN788rnHut9McC2aTkAYGw15puZnVts+05JcvrYATuz\nMMQEWgDGUmO+mbMXF7J8a6Xte1/4yUdy8tHpPlUF3IuOLQellP2llFdLKX9SSvnjUsovrK3vLaW8\nUkr5+tqv711bL6WUXyulfKOU8oellB/t9b8EAGzX7NxixzB7/OBeYRZqoJse2r9L8nRVVT+S5FiS\nz5ZSfiTJM0m+XFXVQ0m+vPZ9kvzzJA+t/fOZJL++61UDwA7dXFpu+/z4wb2ut4Wa6NhyUFXVt5N8\ne+3r75ZS/jTJdJJPJHls7bXfSvKVJP9qbf23q6qqklwupUyVUt6/9ucAwFDYNzWZ5hahdnpqMpee\neXwAFQH3als9tKWUDyR5NMmVJA9uCKl/keTBta+nk2y8F/Bba2t3BNpSymeyuoObAwcObLNsANie\n9QNgN5eWs29qMh/54P15+VrzjraDyT0TOXPi0ACrBO5F12O7Sil/P8nLSX6xqqq/3vhsbTd2W3cB\nVlX1xaqqjlRVdeT+++/fzm8FgG1ZPwDWXFpOlaS5tJyXrzXzyQ9NZ3pqMiWrO7PPPXFYzyzUUFc7\ntKWUPVkNs+erqrq4tvyd9VaCUsr7k7y1tt5MsvEalR9eWwOAgdjqANjyrZW8+rW3tRfACOhmykFJ\n8u+S/GlVVZ/f8OhLST619vWnkvzehvV/sTbt4FiS/6l/FoBBanUArNPBMKAeutmhPZ7kp5MslFK+\nurb2r5M8n+SlUsrPJvnzJE+uPfv9JB9L8o0k/yvJz+xqxQCwTa0OgO2bmhxANcBu62bKwX/N6kUp\nW/nxLd6vknx2h3UBwK45c+LQXZcoOAAGo8NNYQCMlJnGQi5cuZGVqspEKTl1dP/ta2s3Tjk4c+KQ\nA2AwIgRaAEbGTGMhL16+fvv7laq6/f2zJ00wgFHV9dguABh2F67c2NY6MBoEWgBGxkq19Uj0VuvA\naBBoARgZE2XrM8yt1oHRINACMDJOHd2/rXVgNDgUBsDIWJ9m0GrKATCaSjUEfUVHjhyprl69Ougy\nAKiJxnzTCC4YQ6WUa1VVHdm8bocWgFppzDfvuCShubScsxcXkkSohTGlhxaAWpmdW7zjxq8kWb61\nktm5xQFVBAyaQAtArdxcWt7WOjD6BFoAamXf1OS21oHRp4cWgKG2+QDYRz54f16+1ryj7WByz0TO\nnDg0wCqBQbJDC8DQWj8A1lxaTpXVA2AvX2vmkx+azvTUZEqS6anJPPfEYQfCYIzZoQVgKDXmm3n6\npdfvurZ2+dZKXv3a27n0zOMDqgwYNnZoARg66zuzm8PsOgfAgI0EWgCGzlajuTZyAAzYSMsBAENj\n/QBYs80OrANgwGYCLQBDYfMNYFuZKMUBMOAuAi0AAzfTWMiLl6+3fWdyz4QwC2xJoAVgoE6fey2X\n3nin7TvTU5M5c+KQMAtsSaAFYGAa882uwqwRXUA7phwAMBDrc2bbcQAM6IZAC0DfdZozu07PLNAN\nLQcA9FWrG8A2e+rYAWEW6IodWgD6ptud2eMH9+bZk4f7VBVQd3ZoAeibTjeATZSSF5582M4ssC12\naAHom5sdbgATZoF7YYcWgJ5av8725tJy3lPKlu0GbgADdkKgBaBnNl9nu1WYdQMYsFMCLQA906pn\ndqKUfL+qss8NYMAuEGgB2HXrbQbNFj2z36+qvPn8x/tcFTCqBFoAdtVMYyHnL19Pu8Fc+6Ym+1YP\nMPoEWgB2zUxjIS9evt72HdfZArtNoAVgV5w+91ouvfFO23em9cwCPSDQArBjM42FrsLspWce71NF\nwDhxsQIAO3bhyo22z0uizQDoGYEWgB3bar7sRqePHdBmAPSMQAvAjk2U0vLZU8cO5NmTh/tYDTBu\nBFoAduzU0f1brh8/uFeYBXrOoTAAdmw9tF64ciMrVZWJUnLq6H5hFuiLUnXoe+qHI0eOVFevXh10\nGQB0sH4D2M2lZdfWAn1XSrlWVdWRzet2aAHoSmO+mbMXF7J8ayVJ0lxaztmLC0ki1AIDpYcWgI5m\nGgv5xf/w1dthdt3yrZXMzi0OqCqAVXZoAWjro5//Sr7+1vdaPr+5tNzHagDuZocWgJZOn3utbZhN\nkn1Tk32qBmBrAi0AW2rMNzteZzu5Z8INYMDACbQA3KUx38zTL73e8b3nnjjsQBgwcHpoAbjD6XOv\nddyZTVZvABNmgWFghxaA22YaC12F2YceuM+lCcDQEGgBSLLaZvDi5esd3zt+cG9e+dxjvS8IoEta\nDgC4fWlCOxOl5IUnH9ZmAAwdgRZgzHXbMyvMAsNKywHAGOs2zB4/uFeYBYaWQAswxrqdZnD+0x/u\nQzUA90bLAcAYmmks5MKVG23fmdwzYc4sUAsCLcCYmWksdDXNQJgF6kLLAcCY6bQzm+iZBerFDi3A\nmGjMNzM7t5iVqmr73vGDe/XMArUi0AKMgfU5s8u3Vlq+M1FK3njuY32sCmB3CLQAI64x38zTL73e\ncWf21NH9faoIYHcJtAAjbKaxkPOXr6ddlJ0oJaeO7s+zJw/3rS6A3STQAoyoxnyzY5idnprMpWce\n71tNAL1gygHACFpvM2gXZif3TOTMiUN9qwmgV+zQAoyYbq6znSjFnFlgZNihBRghM42FjmG2JHnh\nyYeFWWBkCLQAI6KbG8BKktPHDgizwEjRcgAwAj76+a/k6299r+07E6XYmQVGkh1agJqbaSx0DLOJ\nNgNgdNmhBaixbg6AJavX2QqzwKgSaAFqqps2gyR56tgBlyYAI03LAUANddtmIMwC40CgBaiZ9RvA\nOnnogfuEWWAsaDkAqJFuRnMldmaB8SLQAtTEdg6ACbPAONFyAFADjflmV2H2oQfuy/lPf7gPFQEM\nD4EWoAZm5xbbPi9ZbTN45XOP9aUegGGi5QCgBm4uLbd9/oWffMScWWBs2aEFqIF9U5Mtnz117IAw\nC4w1O7QAQ6gx38zs3GJuLi1n39RkPvLB+/PytWaWb63c8Z4DYAACLcDQmWks5Pzl66nWvm8uLefl\na8188kPTefVrb98OuWdOHLIzCxCBFmCorF+aUG1aX761kle/9nYuPfP4QOoCGGYCLcCQ6HRpQqeD\nYQDjSqAFGALdXJrQ7mAYwDgz5QBgwGYaCx3DbEly5sSh/hQEUDMCLcAAdWozSFbD7GmjuQBa0nIA\nMCDrB8A6cWkCQHt2aAEGoDHfzNMvvX7XNIPNXJoA0JkdWoA+++jnv5Kvv/W9ju+5NAGgO3ZoAfro\n9LnXugqzTx07kPOf/nAfKgKoPzu0AH3UzTSD08cO2JkF2AaBFqAPGvPNzM4ttn1nopS88OTDemYB\ntkmgBeixxnwzZy8uZPnWStv3hFmAe6OHFqDHZucWO4bZhx64T5gFuEd2aAF6ZL3NoLm03Pa94wf3\nOgAGsAMCLUAPdNNmMD01mUvPPN7HqgBGk0ALsMvWL01YqVpfmzC5ZyJnThzqY1UAo0ugBdhF6zuz\n7cLs9NRkzpw4pGcWYJcItAC7qNMBMG0GALvPlAOAXXSzzQEwbQYAvSHQAuyifVOTW65PlJLnnjis\nzQCgB7QcAOzATGMhF67cyEpVZaKUHPuH78073/vbO9oOJvdMCLMAPWSHFuAezTQW8uLl67cPgK1U\nVS698U5+9MD/numpyZSs9swKswC9ZYcW4B5duHJjy/XLf/ZXeeO5j/W5GoDxJdACbNPGNoOttBvZ\nBcDuE2gBtmG9zaCdiVL6VA0AiR5agG1p1Waw0amj+/tQCQDr7NACbEO7doKJUnLq6P48e/JwHysC\nQKAF6KAx38zs3GLbSxMmSnEQDGBABFqANj76+a/k6299r+N72gwABkegBWihmzCrzQBg8ARagC3M\nNBbahtmS5M3nP96/ggBoSaAF2OT0uddy6Y132r6zb2qyT9UA0IlAC7BBtz2zZ04c6kM1AHTDHFqA\nNZ3aDNY99MB9OfnodB8qAqAbAi3Amm4uTXjogfvyyuce630xAHRNywEw9tbnzLa7NCFJnjp2wDQD\ngCEk0AJjbaaxkPOXr6d9lE2OH9wrzAIMKYEWGFszjYW8ePl6x/ceeuC+nP/0h/tQEQD3QqAFxlI3\no7lcmgBQDwItMHa6CbPTU5O59MzjfaoIgJ0w5QAYK435ZscwW2LOLECdCLTAWJmdW+z4zuljB8yZ\nBagRLQfAWOimzSAxmgugjgRaYOQd/ZVX8p3v/m3H94zmAqinji0HpZTfKKW8VUr5ow1rv1xKaZZS\nvrr2z8c2PDtbSvlGKWWxlHKiV4UDdOP0ude6DrNGcwHUUzc7tL+Z5P9N8tub1r9QVdW/3bhQSvmR\nJD+V5B8n2ZfkP5dS/lFVVSu7UCvAtsw0FrqaZnDmxCE9swA11jHQVlX1X0opH+jyz/tEkt+pqupv\nkrxZSvlGkh9L8to9VwhwDxrzzZzv4tIEo7kA6m8nUw5+vpTyh2stCe9dW5tOcmPDO99aW7tLKeUz\npZSrpZSrb7/99g7KALjb7NxiV9fZAlB/9xpofz3JwSSPJPl2khe2+wdUVfXFqqqOVFV15P7777/H\nMgC2dnNpue3zB3/o7+mZBRgR9xRoq6r6TlVVK1VVfT/Juay2FSRJM8n+Da/+8NoaQF/tm5ps+ez4\nwb258m8+2sdqAOilewq0pZT3b/j2J5KsT0D4UpKfKqX8YCnlHyR5KMkf7KxEgO07c+JQJvdM3LFW\nsjpn1s4swGjpeCislHIhyWNJ3ldK+VaSX0ryWCnlkSRVkm8m+bkkqarqj0spLyX5kyR/l+SzJhwA\nvdaYb2Z2bjE3l5azb9PUglbrAIyOUlWdjk303pEjR6qrV68OugyghmYaCzl/+fodB8Am90zkuScO\nC68AI6aUcq2qqiOb13cy5QBgoNZHc23+z/LlWyuZnVscSE0A9J9AC9RWu9FcnaYcADA6urkpDGCo\nzDQWcuHKjay0aZlqN+UAgNEi0AK1cvrcax2vsy1ZnXIAwHjQcgDURmO+2VWYPX3sgANhAGPEDi1Q\nCzONhbx4+Xrbd6aN5gIYSwItMPS6CbMTpeTSM4/3qSIAhomWA2CoNeabHcNskpw6ur/jOwCMJju0\nwNBavzShk+MH9+bZk4f7UBEAw0igBYZSq0sTNvvVn3xEzyzAmNNyAAyldpcmrHvKNAMAYocWGDLd\nXJqQrIZZbQYAJAItMES6mWZQknxBmwEAG2g5AIbGhSs32j53aQIAW7FDCwyNdm0GLk0AoBWBFhio\nxnwzs3OLubm03PIdlyYA0I5ACwzM6XOv5dIb73R8z6UJALQj0AIDMdNY6BhmJ0rJqaP7TTMAoC2B\nFui7TtfZliRvPv/x/hUEQK0JtEBfddNmsG9qsk/VADAKjO0C+qabNoMkOXPiUB+qAWBUCLRA33Sa\nM5skxw/uNZoLgG3RcgD03PpoLtfZAtALAi3QU435Zs5eXMjyrZW27/2q62wBuEcCLdAzjflmnn7p\n9Y47s9oMANgJgRboifWd2fy95ZkAABZ4SURBVHZh1pxZAHaDQAvsupnGQts5s0kyPTXpOlsAdoUp\nB8Cu6ibMTu6ZMJoLgF0j0AK7qtNorolS8twTh/XMArBrBFpgV7XrmZ3cM5EXnnxYmAVgV+mhBXZs\nfc7szaXltu/ZmQWgFwRaYEe6nTP71LEDwiwAPSHQAjsyO7fYNswazQVArwm0wD356Oe/kq+/9b2W\nz0uSN5//eP8KAmBsORQGbFunMJsk+6Ym+1QNAONOoAW2Zaax0DHMmjMLQD9pOQC61u0NYGdOHHIA\nDIC+EWiBrnW6NCGJ62wB6DstB0DX2l2akCQPPXBfnyoBgHcJtEDXJkpp+eyhB+7LK597rH/FAMAa\nLQdASxtvANs3NZlj//C9ufTGO3e999SxA+bMAjAwAi2wpZnGQs5fvp71JoPm0nLe+d7f5vjBvbn8\nZ3+VlapyaQIAQ0GgBe5y+txrW+7ELt9ayTf/cjlvPPexAVQFAFvTQwvcoVWYXXdzabmP1QBAZwIt\ncFunMJu4AQyA4SPQAklWe2Y7hdmSuAEMgKEj0AJJurs04fSxA24AA2DoOBQGY26msZALV250vDTh\n+MG9phkAMJQEWhhj3fTMJqth9vynP9yHigBg+7QcwJhqzDeFWQBGgh1aGFOzc4ttn7s0AYC6EGhh\nzKxfZ9tsM092ohSXJwBQGwItjJHGfDNnLy5k+dZK2/dOHd3fp4oAYOf00MIYmZ1b7BhmTTMAoG7s\n0MIYaXdt7fTUZM6cOGTOLAC1I9DCGNk3Nbll7+z01GQuPfP4ACoCgJ0TaGGErR8Au7m0nH1Tk/nI\nB+/Py9ead7QdTO6ZcJ0tALUm0MKImmks5Pzl61m//6u5tJyXrzXzyQ9N59WvvX075GozAKDuBFoY\nQa1uAFu+tZJXv/a29gIARoopBzBiZhoLbW8Aa3cwDADqSKCFEXPhyo22z/dNTfapEgDoDy0HMCLW\nD4CtVFXLd0riABgAI0eghRHQqmf2rveOHXAADICRo+UAaq5Tz+w6N4ABMKrs0ELNdeqZnSglp47u\nF2YBGFkCLdRUNz2zbgADYBwItFBDmy9NaMUBMADGgR5aqJnGfLOrMHv84F4HwAAYC3ZooUZmGgt5\n8fL1tu/omQVg3Ai0UBPdhFk9swCMIy0HUAON+WbHMOvSBADGlR1aGHLrB8DaKXFpAgDjS6CFIdZN\nm0GSfOEnHxFmARhbWg5gSK1PM+jkKTuzAIw5O7QwhLrdmX3q2AHTDAAYewItDJluwmyJNgMAWKfl\nAIbMhSs3Or7jABgAvMsOLQyJmcZCLly5kZWq9R1g69MMtBkAwLsEWhgCphkAwL3TcgADtp0DYMIs\nANzNDi0MUDdhdqKUnDq6X5sBALQg0MIAdToANlFK3njuY32qBgDqSaCFAWjMNzM7t9j2AFiSnDq6\nv08VAUB9CbTQZzONhZy/fD3to6xLEwCgWwIt9JEbwABg9wm00CeN+WbOOwAGALtOoIU+aMw38/RL\nr7dtM5iemsylZx7vW00AMCoEWuixbnpmS5IzJw71qyQAGCkCLfTQ//lL/zF//TcrHd877dIEALhn\nAi30SDdhtmQ1zOqZBYB7J9BCDzTmmx3D7EQpeeHJh+3MAsAOvWfQBcAomp1bbPu8JMIsAOwSO7Sw\ni9ZvAGsuLbd9T88sAOwegRZ2SWO+mbMXF7J8q32rwf/2gxN6ZgFgF2k5gF0yO7fYVZj9w//7n/Wp\nIgAYD3ZoYYe6aTOYnprMmROHtBkAQA8ItLADp8+9lktvvNP2HTeAAUBvaTmAe9RNmJ3cM+EGMADo\nMTu0cA9mGgtd7cxqMwCA3hNoYZsa882cv3y97TvaDACgf7QcwDbNzi2m6vCONgMA6B87tNClmcZC\nLly5kZWqfZw9fnCvNgMA6COBFrrQzQGwZDXMnv/0h/tQEQCwTqCFDhrzzY5htmT1Ols3gAFA/wm0\n0MHs3GLb56YZAMBgCbTQQjdtBhOlmGYAAAMm0MIWjv7KK/nOd/+243unju7vQzUAQDvGdsEmM42F\nrsLs8YN79cwCwBCwQwubXLhyo+1zPbMAMFwEWljT7ZxZPbMAMFwEWshqmH2xw3W2yWqbAQAwXARa\nxl63lyY8+EN/z6UJADCEBFrGWrejuU4d3e8AGAAMKYGWsdZNmH3juY/1qRoA4F4ItIylxnyz4w1g\niTmzAFAHAi1jZ6axkPOXr6f9LIPkqWMHtBkAQA0ItIyV7UwzEGYBoB4EWsbGRz//lXz9re91fO/4\nwb2mGQBAjQi0jIXT517rGGanpyZdmgAANfSeQRcA/dBpmkFJcubEof4UAwDsKju0jLRupxmcPnYg\nJx+d7kNFAMBuE2gZWY35Zs5eXMjyrZW275lmAAD1puWAkTU7t9gxzD70wH3CLADUnB1aRs56m0Fz\nabnte6YZAMBoEGgZKafPvdbxAJhpBgAwWjq2HJRSfqOU8lYp5Y82rO0tpbxSSvn62q/vXVsvpZRf\nK6V8o5Tyh6WUH+1l8bDRTGOhY5id3DNhmgEAjJhuemh/M8k/27T2TJIvV1X1UJIvr32fJP88yUNr\n/3wmya/vTpnQ2YUrN9o+n56azHNPHDbNAABGTMeWg6qq/ksp5QOblj+R5LG1r38ryVeS/Ku19d+u\nqqpKcrmUMlVKeX9VVd/erYKhlZWqavlMmwEAjK57nXLw4IaQ+hdJHlz7ejrJxm2yb62t3aWU8plS\nytVSytW33377HsuAd02U0vKZNgMAGF07PhRWVVVVSmm9Ndb6930xyReT5MiRI9v+/bA+zeDm0nL2\nTU3m2D9875Y9tMcP7tVmAAAj7F4D7XfWWwlKKe9P8tbaejPJ/g3v/fDaGuyqmcZCzl++nvX/Emou\nLeed7/1tjh/cm8t/9ldZqapMlJJTR/ebMwsAI+5eA+2XknwqyfNrv/7ehvWfL6X8TpKjSf6n/ll2\nW2O+eUeYXbd8ayXf/MvlvPHcxwZSFwAwGB0DbSnlQlYPgL2vlPKtJL+U1SD7UinlZ5P8eZIn117/\n/SQfS/KNJP8ryc/0oGbGWGO+madfev2uMLvuZofLFACA0dPNlINTLR79+BbvVkk+u9OiYCsf/fxX\n8vW3vtf2nX1Tk32qBgAYFvc65QD66vS51zqG2RLTDABgHAm0DL1ubgArSU4fO2CaAQCMoR2P7YJe\nOn3utY5hdqKUvPDkw8IsAIwpO7QMrW7CbBJhFgDGnEDLUOqmzSBJHnrgPmEWAMacQMtQunDlRsd3\njh/cm1c+91jviwEAhppAy1BaqdrfhvzUsQM5/+kP96kaAGCYORTG0GjMNzM7t9jxcoTjB/e6zhYA\nuE2gZSjMNBa2vM52s+MH99qZBQDuINAycDONhbx4+XrbdyZKyamj++3MAgB3EWgZqE5htiR58/mP\n968gAKB2HApjYLrZmd03NdmnagCAurJDy0B0c2lCSXLmxKH+FAQA1JZAS98d/ZVX8p3v/m3H904f\nO+DSBACgIy0H9NVHP/+VrsLsU8cOOAAGAHRFoKVvTp97LV9/63sd3xNmAYDtEGjpi256ZhNhFgDY\nPoGWnmvMN7sKs24AAwDuhUNh9FQ3o7mS5MEf+ntuAAMA7okdWnqm2zD70AP35cq/+WgfKgIARpFA\nS0805ptdhdnjB/fmlc891vuCAICRpeWAXdftAbDjB/dqMwAAdkygZVfNNBa6CrO/+pOPuDQBANgV\nWg7YNd32zD7lBjAAYBcJtOyK7YRZo7kAgN2k5YBdceHKjY7vaDMAAHrBDi27YqWq2j4/fnCvMAsA\n9IRAy66YKKXls6eOHTDNAADoGYGWXXHq6P4t1/XMAgC9poeWXbEeWi9cuZGVqspEKTl1dL8wCwD0\nXKk69D72w5EjR6qrV68Ougy60JhvZnZuMTeXlrNvajJnThzSGwsA9EUp5VpVVUc2r9uhpWszjYWc\nv3w96/8J1FxaztmLC0ki1AIAA6OHlq6sz5ndvJ+/fGsls3OLA6kJACARaOlCY76Z820uTbi5tNzH\nagAA7iTQ0lZjvpmnX3r9rp3ZjfZNTfatHgCAzfTQ0tLpc6/l0hvvtH2nJDlz4lB/CgIA2IIdWrbU\nTZhNktPHDjgQBgAMlB1a7tKYb3a1M3vapQkAwBAQaLlLp6kFE6XkhScftjMLAAwFgZbbZhoLt2/6\nakeYBQCGiUBLknfnzHZy/OBeYRYAGCoOhZEkuXDlRsd3jh/cm/Of/nAfqgEA6J4dWpKkbZvB9NRk\nzpw4ZGcWABhKAu0Ya8w3Mzu32Pamr4lScumZx/tYFQDA9gi0Y6ox38zZiwtZvrXS9r1TR/f3qSIA\ngHsj0I6p2bnFtmF2opScOrrfnFkAYOgJtGOqVZtBSfLm8x/vbzEAADtgysGY2jc1ua11AIBhZYd2\nTGw8ALZvajIf+eD9efla8462g8k9Ezlz4tAAqwQA2D47tGNg/QBYc2k5VZLm0nJevtbMJz80nemp\nyZSsjuZ67onDRnMBALVjh3bEtboBbPnWSl792ttGcgEAtWeHdoR1us623fxZAIC6EGhHVGO+2TbM\nJg6AAQCjQaAdQes9s+04AAYAjAo9tCOmU5vBOgfAAIBRYYd2hHQbZp86dkCYBQBGhkA7Qi5cudHx\nnaeOHXCdLQAwUrQcjJCVqmr5bHLPhDYDAGAkCbQ1N9NYyIUrN9qG2UTPLAAwugTaGtMzCwAg0NZW\nN3NmJ0rJqaP79cwCACNNoK2hmcZCzncIs998/uN9qgYAYLAE2prpps1gopQ+VQMAMHjGdtVItz2z\np47u70M1AADDwQ5tTZw+91ouvfFOx/fMmQUAxo1AWwMzjYWOYbYk+cJPPmKaAQAwdgTaIdftzuxp\no7kAgDGlh3aIaTMAAOhMoB1SjfmmMAsA0AWBdgg15ps5e3Gh43vHD+4VZgGAsSfQDqHZucUs31pp\n+85Txw7k/Kc/3KeKAACGl0A7hG4uLbd9bmcWAOBdAu0Q2jc12fLZ8YN77cwCAGxgbNcQaMw3Mzu3\nmJtLy9k3NZmPfPD+vHyteUfbweSeiTz3xGGjuQAANhFoB2ymsZDzl6+nWvu+ubScl68188kPTefV\nr719O+SeOXFImAUA2IJAO0CN+eYdYXbd8q2VvPq1t3PpmccHUhcAQJ3ooR2QxnwzT7/0+l1hdl2n\ng2EAAKyyQzsAm9sMttLuYBgAAO+yQ9tnrdoMNipJzpw41K+SAABqTaDts9m5xY5h9vSxAw6AAQB0\nSctBn6yP5mq26Y2dKCUvPPmwMAsAsA0CbR900zNbEmEWAOAeaDnosW57ZrUZAADcGzu0PdRpNFeS\nTLs0AQBgRwTaHmnMN3P24kJWqtZxdnpq0uUJAAA7pOWgR2bnFrN8a6Xlc6O5AAB2h0DbI+1u+tIz\nCwCwe7Qc9Mi+qcktR3QZzQUAsLvs0PbImROHMrln4o61yT0TwiwAwC6zQ9sj66F1dm4xN5eWs880\nAwCAnhBoe+jko9MCLABAj2k5AACg1gRaAABqTaAFAKDWBFoAAGpNoAUAoNYEWgAAak2gBQCg1gRa\nAABqTaAFAKDWBFoAAGpNoAUAoNYEWgAAak2gBQCg1gRaAABqTaAFAKDWBFoAAGpNoAUAoNYEWgAA\nau0HBl3AIDTmm5mdW8zNpeXsm5rMmROHcvLR6UGXBQDAPRi7QNuYb+bsxYUs31pJkjSXlnP24kKS\nCLUAADU0di0Hs3OLt8PsuuVbK5mdWxxQRQAA7MTYBdqbS8vbWgcAYLiNXaDdNzW5rXUAAIbb2AXa\nMycOZXLPxB1rk3smcubEoQFVBADATozdobD1g1+mHAAAjIaxC7TJaqgVYAEARsPYtRwAADBaBFoA\nAGpNoAUAoNYEWgAAak2gBQCg1gRaAABqTaAFAKDWBFoAAGptRxcrlFK+meS7SVaS/F1VVUdKKXuT\n/IckH0jyzSRPVlX1VzsrEwAAtrYbO7Qfqarqkaqqjqx9/0ySL1dV9VCSL699DwAAPdGLloNPJPmt\nta9/K8nJHvxvAABAkp0H2irJfyqlXCulfGZt7cGqqr699vVfJHlwq99YSvlMKeVqKeXq22+/vcMy\nAAAYVzvqoU3yT6qqapZSHkjySinlaxsfVlVVlVKqrX5jVVVfTPLFJDly5MiW7wAAQCc72qGtqqq5\n9utbSX43yY8l+U4p5f1JsvbrWzstEgAAWrnnQFtKua+U8kPrXyf5p0n+KMmXknxq7bVPJfm9nRYJ\nAACt7KTl4MEkv1tKWf9z/n1VVf+xlPLfkrxUSvnZJH+e5MmdlwkAAFu750BbVdWfJXl4i/W/TPLj\nOykKAAC65aYwAABqTaAFAKDWBFoAAGpNoAUAoNYEWgAAak2gBQCg1gRaAABqTaAFAKDWSlVVg64h\npZS3s3qr2Ha9L8n/2OVyqD+fC7bic8FWfC7YzGdiuP0fVVXdv3lxKALtvSqlXK2q6sig62C4+Fyw\nFZ8LtuJzwWY+E/Wk5QAAgFoTaAEAqLW6B9ovDroAhpLPBVvxuWArPhds5jNRQ7XuoQUAgLrv0AIA\nMOYEWgAAaq02gbaU8s1SykIp5aullKtra3tLKa+UUr6+9ut7B10nvVdK+Y1SylullD/asLblZ6Gs\n+rVSyjdKKX9YSvnRwVVOr7T4TPxyKaW59jPjq6WUj214dnbtM7FYSjkxmKrptVLK/lLKq6WUPyml\n/HEp5RfW1v28GGNtPhd+ZtRYbQLtmo9UVfXIhvlwzyT5clVVDyX58tr3jL7fTPLPNq21+iz88yQP\nrf3zmSS/3qca6a/fzN2fiST5wtrPjEeqqvr9JCml/EiSn0ryj9d+z/9XSpnoW6X0098lebqqqh9J\ncizJZ9f+//fzYry1+lwkfmbUVt0C7WafSPJba1//VpKTA6yFPqmq6r8keWfTcqvPwieS/Ha16nKS\nqVLK+/tTKf3S4jPRyieS/E5VVX9TVdWbSb6R5Md6VhwDU1XVt6uq+u9rX383yZ8mmY6fF2Otzeei\nFT8zaqBOgbZK8p9KKddKKZ9ZW3uwqqpvr339F0keHExpDIFWn4XpJDc2vPettP/BxWj5+bW/Ov6N\nDS1JPhNjqJTygSSPJrkSPy9Ys+lzkfiZUVt1CrT/pKqqH83qXwl9tpTyf218WK3OHzODDJ8F1v16\nkoNJHkny7SQvDLYcBqWU8veTvJzkF6uq+uuNz/y8GF9bfC78zKix2gTaqqqaa7++leR3s7rd/531\nvw5a+/WtwVXIgLX6LDST7N/w3g+vrTHiqqr6TlVVK1VVfT/Jubz7V4Q+E2OklLInq6HlfFVVF9eW\n/bwYc1t9LvzMqLdaBNpSyn2llB9a/zrJP03yR0m+lORTa699KsnvDaZChkCrz8KXkvyLtdPLx5L8\nzw1/1cgI29T7+BNZ/ZmRrH4mfqqU8oOllH+Q1QNAf9Dv+ui9UkpJ8u+S/GlVVZ/f8MjPizHW6nPh\nZ0a9/cCgC+jSg0l+d/UzmB9I8u+rqvqPpZT/luSlUsrPJvnzJE8OsEb6pJRyIcljSd5XSvlWkl9K\n8ny2/iz8fpKPZbWJ/38l+Zm+F0zPtfhMPFZKeSSrf538zSQ/lyRVVf1xKeWlJH+S1dPOn62qamUQ\nddNzx5P8dJKFUspX19b+dfy8GHetPhen/MyoL1ffAgBQa7VoOQAAgFYEWgAAak2gBQCg1gRaAABq\nTaAFAKDWBFoAAGpNoAUAoNb+f6+h6uIoTGNSAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 864x864 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Q-y4d-i5RhUj",
        "colab_type": "text"
      },
      "source": [
        "## 解釈 (RBFカーネル)"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "OvquP3i4Tshy",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def calc_contribs(svr_model, x_tr):\n",
        "  def coeff(a, b):\n",
        "    \"coefficient for the rbf kernel\"\n",
        "    return (-2.*b) * (a-b)\n",
        "  C = cdist(svr_model.support_vectors_, x_tr, lambda a,b: k_rbf(a,b, svr_model.gamma)) * svr_model.gamma \n",
        "  A = np.zeros((svr_model.support_.shape[0], svr_model.support_vectors_.shape[1], x_tr.shape[0]))\n",
        "  for j in range(x_tr.shape[1]):\n",
        "    D = cdist(svr_model.support_vectors_[:,j].reshape(-1,1), x_tr[:,j].reshape(-1,1), metric=lambda a,b: coeff(a,b) )\n",
        "    A[:,j,:] = D\n",
        "  contribs_ = (svr_model.dual_coef_.T.reshape(-1,1,1) * (A * C[:,None,:])).sum(axis=0).T\n",
        "  return contribs_"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "fKmHKagTTuu_",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "contrib = {}\n",
        "for dtype, xinput in zip(['train','test'], [Xtrain, Xtest]):\n",
        "  x_train = model.best_estimator_.steps[0][-1].transform(xinput)\n",
        "  contrib[dtype] = calc_contribs(mm, x_train)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "rN09-sotVrg2",
        "colab_type": "code",
        "outputId": "abc3171e-5a32-4cfd-84ea-ac6f11bea76d",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        }
      },
      "source": [
        "\n",
        "for i_var in range(contrib['train'].shape[1]):\n",
        "  fig = plt.figure()\n",
        "  _,bins,_ = plt.hist(contrib['train'][:, i_var], bins=10, alpha=.7)\n",
        "  plt.hist(contrib['test'][:, i_var], bins=bins, alpha=.3)\n",
        "  plt.xlabel(data['feature_names'][i_var])\n",
        "  plt.show()"
      ],
      "execution_count": 25,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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AgEEkAwDAIJIBAGAQyQAAMIhkAAAYRDIAAAwiGQAABpEMAACDSAYAgEEkAwDAIJIBAGAQ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\n",
            "text/plain": [
              "<Figure size 864x864 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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kfUkuS3JOVe1ZbDo/yQMneM913b2/u/fv3bt3qWEBAGAZm7nbw96qOmex/OeTvCTJXdmI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\nMcQvAABjiF8AAMb4vwe/jlF5IdV0AAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 864x864 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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AAIwhfgEAGEP8AgAwhvgFAGAM8QsAwBjiFwCAMcQvAABjiF8AAMYQvwAAjCF+AQAYQ/wC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\nYAzxCwDAGOIXAIAxxC8AAGP8fwdb0DMUrW9AAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 864x864 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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AMcQvAABjiF8AAMYQvwAAjCF+AQAYQ/wCADCG+AUAYAzxCwDAGOIXAIAxxC8AAGOIXwAA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\nGOP/A0p1BqXm+6hyAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 864x864 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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ONgAAuCRtFcZrrf9T/aVz1r5xq4kAAGAH3PkOAAASxgAAUAljAACohDEAAFTCGAAAKmEM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\nTkSuQmCC\n",
            "text/plain": [
              "<Figure size 864x864 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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xAABUwhgAACphDAAAlTAGAIBKGAMAQCWMAQCgEsYAAFAJYwAAqIQxAABUwhgAACphDAAA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\nRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 864x864 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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AAIwnigEAGE8UAwAwnigGAGA8UQwAwHiiGACA8UQxAADjiWIAAMYTxQAAjCeKAQAYTxQD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\nORpYAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 864x864 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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qYQwAAJUwBgCAShgDAEAljAEAoBLGAABQCWMAAKiEMQAAVMIYAAAqYQwAAJUwBgCAShgD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\nQmCC\n",
            "text/plain": [
              "<Figure size 864x864 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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CADCG+AUAYAzxCwDAGOIXAIAxxC8AAGOIXwAAxhC/AACMIX4BABhD/AIAMMahTQ8AwOd3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\nBQBgDPELAMAY4hcAgDHELwAAY/w/ISregxywtHUAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 864x864 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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7vrp9qwkBAOAsOLbl8f+6euPMPLH6SPU97cX2bTNzQ/Wx6kVbvgcAABy5rcJ4rfX71Ykz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\nKmEMAACVMAYAgEoYAwBAJYwBAKCq/wunjRfJ7ehGDwAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 864x864 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "tfwdqRh6Z5oQ",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "cons = {}\n",
        "for dname in ['train', 'test']:\n",
        "  cons[dname] = contrib[dname] #np.divide(contrib[dname], np.linalg.norm(contrib[dname],axis=1).reshape(-1,1))\n"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "xtEik3lPhj5O",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 107
        },
        "outputId": "6f7089c5-84cf-47d1-e51f-2b9b73ead25c"
      },
      "source": [
        "ytrain.min(),ytrain.max(),ytest.min(), ytest.max()"
      ],
      "execution_count": 30,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(target    31.0\n",
              " dtype: float64, target    341.0\n",
              " dtype: float64, target    25.0\n",
              " dtype: float64, target    346.0\n",
              " dtype: float64)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 30
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "LfmdhLLyXoSY",
        "colab_type": "code",
        "outputId": "9db9f06e-7b5b-49a3-b645-f67cbb2aa192",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 700
        }
      },
      "source": [
        "fig=plt.figure()\n",
        "n_trains = Xtrain.shape[0]\n",
        "n_tests = Xtest.shape[0]\n",
        "plt.stackplot(range(1,1+10), *cons['test'][:10,:].T)# what an artistic!\n",
        "plt.show()"
      ],
      "execution_count": 29,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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ED4B5Bih+9j9oPn8sySNKnmGvA86ROmRheNb9VqAWh/qpHFcqaNtxBmpeG/a1ZJVwC6XW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vzrW5ua7lJ0fp4n0D5bnYV46WhZtBId1zyOCK9Omdx9kZO4akg4+JkKHZqys0XosSE6S6ZV5YaT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\nAB/hGAAAAPARjgEAAADf/wNOk/kPRRhBSwAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 864x864 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GZIjzeFtWbN0",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": 0,
      "outputs": []
    }
  ]
}