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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 400,
   "metadata": {},
   "outputs": [],
   "source": [
    "#### 知識情報学第14回演習サンプルプログラム ex14.py\n",
    "#### Programmed by Nattapong Thammasan, 監修 福井健一\n",
    "#### Last updated: 2016/11/02\n",
    "\n",
    "#### Label Spreadingによる半教師あり学習\n",
    "\n",
    "import numpy as np\n",
    "from sklearn.semi_supervised import label_propagation\n",
    "from sklearn.datasets import make_moons, make_s_curve\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.sparse.csgraph import csgraph_from_dense\n",
    "import pandas as pd\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from matplotlib.colors import ListedColormap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 401,
   "metadata": {},
   "outputs": [],
   "source": [
    "# =======================\n",
    "# Defined plot_subfigure method\n",
    "# =======================\n",
    "\n",
    "fig_no_upper = 221\n",
    "fig_no_lower = 223\n",
    "def plot_subfigure(X, labels, output_labels, class1, class2):\n",
    "    global fig_no_upper, fig_no_lower\n",
    "\n",
    "    plt.subplot(fig_no_upper)\n",
    "    fig_no_upper += 1\n",
    "    plt.scatter(X[labels == class1, 0], X[labels == class1, 1], color='navy',\n",
    "                marker='s', lw=0, label=\"Class1 labeled\", s=10)\n",
    "    plt.scatter(X[labels == class2, 0], X[labels == class2, 1], color='c',\n",
    "                marker='s', lw=0, label='Class2 labeled', s=10)\n",
    "    plt.scatter(X[labels == -1, 0], X[labels == -1, 1], color='darkorange',\n",
    "                marker='.', label='unlabeled')\n",
    "    plt.legend(scatterpoints=1, shadow=False, loc='upper left')\n",
    "    plt.title(\"Original data\")\n",
    "\n",
    "    plt.subplot(fig_no_lower)\n",
    "    fig_no_lower += 1\n",
    "    output_label_array = np.asarray(output_labels)\n",
    "    class1_numbers = np.where(output_label_array == class1)[0]\n",
    "    class2_numbers = np.where(output_label_array == class2)[0]\n",
    "    plt.scatter(X[class1_numbers, 0], X[class1_numbers, 1], color='navy',\n",
    "                marker='s', lw=0, s=10, label=\"Class1 learned\")\n",
    "    plt.scatter(X[class2_numbers, 0], X[class2_numbers, 1], color='c',\n",
    "                marker='s', lw=0, s=10, label=\"Class2 learned\")\n",
    "    plt.legend(scatterpoints=1, shadow=False, loc='upper left')\n",
    "    plt.title(\"Labels learned with Label Spreading\")\n",
    "\n",
    "# =======================\n",
    "# End of plot_subfigure()\n",
    "# ======================="
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 402,
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "# =====================================================================\n",
    "# ######################## LABEL SPREADING ############################\n",
    "# =====================================================================\n",
    "\n",
    "plt.figure(figsize=(10, 10))\n",
    "n_samples = 200\n",
    "noise_level = .05\n",
    "# =======================\n",
    "# Moon\n",
    "# =======================\n",
    "\n",
    "X, y = make_moons(n_samples=n_samples, noise=noise_level, shuffle=False)\n",
    "left, right = 0, 1\n",
    "labels = -np.ones(n_samples)\n",
    "labels[0] = left #first_moon\n",
    "labels[-1] = right #second_moon\n",
    "\n",
    "label_spread = label_propagation.LabelSpreading(kernel='rbf', gamma=10, alpha=0.5)\n",
    "label_spread.fit(X, labels)\n",
    "\n",
    "output_labels= label_spread.predict(X)\n",
    "\n",
    "plot_subfigure(X, labels, output_labels, left, right)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 403,
   "metadata": {},
   "outputs": [
    {
     "data": {
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WO++8k1atWvk8iouLAfj6668DlmPr1q0AXH311T77tW7dmscff5yjR49SUVHB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55d57Ndu3ZFujqEW+CiW+1qamq4//77c/r+REKhEN/+9reZP39+wqSzefPmyP9HjhzJ+++/z/z5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\ngBn+f8fx+7hHfeZCAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12491b358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# =======================\n",
    "# S-Curve\n",
    "# =======================\n",
    "\n",
    "temp, y = make_s_curve(n_samples=n_samples, noise=noise_level, random_state=1)\n",
    "X = temp[:,[0,2]]\n",
    "classA, classB = 0, 1\n",
    "labels = -np.ones(n_samples)\n",
    "labels[0] = classA #right-top-most\n",
    "labels[-1] = classB #left-buttom-most\n",
    "\n",
    "label_spread = label_propagation.LabelSpreading(kernel='rbf', gamma=10, alpha=0.5)\n",
    "label_spread.fit(X, labels)\n",
    "\n",
    "output_labels = label_spread.predict(X)\n",
    "\n",
    "plot_subfigure(X, labels, output_labels, classA, classB)\n",
    "\n",
    "# =======================\n",
    "# Showing Plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 404,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_wine = pd.read_csv(\"wine.data\", header=None)\n",
    "wine_features = ['Class label', 'Alcohol', 'Malic acid', 'Ash', 'Alcalinity of ash', 'Magnesium',\n",
    "                    'Total phenols', 'Flavanoids', 'Nonflavanoid phenols', 'Proanthocyanins', 'Color intensity', 'Hue',\n",
    "                    'OD280/OD315 of diluted wines', 'Proline']\n",
    "df_wine.columns = wine_features\n",
    "\n",
    "used_feature1 = 'Alcohol'\n",
    "used_feature2 = 'Malic acid'\n",
    "features = [used_feature1, used_feature2]\n",
    "X = df_wine[features].values\n",
    "y = df_wine['Class label'].values\n",
    "\n",
    "sc = StandardScaler()\n",
    "sc.fit(X)\n",
    "X_std = sc.transform(X)\n",
    "\n",
    "markers = ('s', 'x', 'o', '^', 'v')\n",
    "colors = ('red', 'blue', 'lightgreen', 'gray', 'cyan')\n",
    "cmap = ListedColormap(colors[:len(np.unique(y))])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 405,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_samples = len(y)\n",
    "ratio = 1/4\n",
    "choiced_idx = np.arange(len(y))\n",
    "np.random.shuffle(choiced_idx)\n",
    "choiced_y = y[choiced_idx[:int(n_samples*ratio)]]\n",
    "\n",
    "labels = -np.ones(n_samples)\n",
    "for label,index in zip(choiced_y,choiced_idx):\n",
    "    labels[index] = label\n",
    "\n",
    "label_spread = label_propagation.LabelSpreading(kernel='rbf', gamma=10, alpha=0.5)\n",
    "label_spread.fit(X, labels)\n",
    "output_labels = label_spread.predict(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 406,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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5Wb4xBtgW+XwXcFjk8z8DKn0jkqFoMJ116VnMPGMm494yjplnzOTMS85k1WOr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\nvGzjhpguL5R9A3Bbw/M1wDEl53UPcElh2UzgygG23ymXucc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      "text/plain": [
       "<matplotlib.figure.Figure at 0x12346b6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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0kbQiZZavIrRy5UomTpxY9LECJ0rn3I8BzGwjsMw511P0s4mEUYsf+lnnvPX1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\nr3bZLzNrAxbjNeO9BzgRuIu9m3d/B/gY8M/AeOB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      "text/plain": [
       "<matplotlib.figure.Figure at 0x12343fda0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AS5xzalFKTsKkXChNozxccfkVtCxu4e4r7x4ycUakGuUVKM2sBrgIWOac09pQ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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1250393c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5,5))\n",
    "for idx, cl in enumerate(np.unique(y)):\n",
    "    plt.scatter(x=X_std[y == cl, 0], y=X_std[y == cl, 1],\n",
    "                alpha=0.8, c=cmap(idx),\n",
    "                marker=markers[idx], label=cl)\n",
    "plt.title('Original data')\n",
    "plt.xlabel(used_feature1+' [standardized]')\n",
    "plt.ylabel(used_feature2+' [standardized]')\n",
    "\n",
    "plt.figure(figsize=(5,5))\n",
    "for idx, cl in enumerate(np.unique(y)):\n",
    "    plt.scatter(x=X_std[labels == cl, 0], y=X_std[labels == cl, 1],\n",
    "                alpha=0.8, c=cmap(idx),\n",
    "                marker=markers[idx], label=cl)\n",
    "plt.scatter(x=X_std[labels == -1, 0], y=X_std[labels == -1, 1],\n",
    "            alpha=0.8, color='darkorange',\n",
    "            marker='.', label='unlabeled')\n",
    "plt.title('Before Learning')\n",
    "plt.xlabel(used_feature1+' [standardized]')\n",
    "plt.ylabel(used_feature2+' [standardized]')\n",
    "\n",
    "plt.figure(figsize=(5,5))\n",
    "for idx, cl in enumerate(np.unique(y)):\n",
    "    plt.scatter(x=X_std[output_labels == cl, 0], y=X_std[output_labels == cl, 1],\n",
    "                alpha=0.8, c=cmap(idx),\n",
    "                marker=markers[idx], label=cl)\n",
    "plt.title('Labels learned with Label Spreading')\n",
    "plt.xlabel(used_feature1+' [standardized]')\n",
    "plt.ylabel(used_feature2+' [standardized]')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 407,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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SzKhRo8qdPZFYRfnXOxi42DnXnpH+IjB+wDnK7/jX4nsWHw7UAvea2YgSHFuq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\n6OhVImwIMlszbFivYThhTU1NfPvLX+abGzcyPpS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G1sbpCc8+OwxMWrsW3vlOcA/9qOWW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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12506aa90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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NJVf52RZwwDtlOLZISeUypKZSVFNeRfIRJXCeDRxkZkuBRnyv2lfx1bTfji9r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\nj/E7nwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12506ad30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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/KkU15VUkDlEC6snAfmb2HFCP7+X7Kr669/T4sjYw83XOPwP+4Zx7rpTHFimH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\nC4BzgHDOOoBXnXOPxJi3WF1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zJhK/cs0POxTn4hUpVOQFxs1sD6CRtInyw22bxeKcuxq4\nutjHEakEqoYVqQ5RFhifDPwe+BB921VTvZuK1oYqMhSpGlakOkQpof4cWIHvCLQC+BiwHX46wFPi\ny5pIdkOxt7KqYcuvubmZ1tZWAFpaWmhrawOgvr6ecePGAdDQ0KC/0xAVJaDuA3zaObfWzJJA0jn3\nDzM7E9/T9iOx5lCqVrGCnlbNkXJobm7mi4ceCps20dHVxeo1a6hPDTs0Y/sdd6Rm2DAYOZLb77pL\nQXUIinLZGQZsDB6vBcYFj19DsxVJIBX05s/vXYgb/PNTTvFp4fR8aNUcKYfW1lbYtInz6+q4uKGB\nCWb8MpHgD4kE15px04gRnF9XB5s29ZRiZWiJUkJ9BtgLX937GHCamXXgV39pijFvUsXCQe///g++\n9jWfnpr2cMGCwkqTWjVHymXS8OEA1JoxJZFgZ2BkMsmk4cOpB+joKGf2pIyi3MtfEHrfj/FjVBcD\nM4ATYsqXDAKzZvkg99JLcOKJcMEF/jkUXppMJjOvQRq11CsiUqi8S6jOubtDj18GppjZ+4B1Lpd5\nDKVqRWkTTS0VB7B2bTylyVR18ttv910159vfhu22UxuqiJRH5HGoYc65dwbeSqpFpgCZTMLJJ8Oe\ne+bXESi1VNzYsT6gvv66f1xI1Wwi4YPpb38LX/4y3HyzD6ap5wqm2YV7qYapZ2ruVrS344BO51je\n3c1G/HJXHe3tvF7mvEl55RxQzWxBLts5546Knh0pt2w9aBcsgGeegb//3T8PL/127LHZg2nqdfBV\nvmvX9r5WSAl1u+188Hz2WdhnHx+0v/xlnz6Yh84UItxLdQvqmTqghoYGGDmSs1O9fJ3jh+Fevps3\n9/TybWhoKG9mpSzyKaF+B9+T90kGniRfqlS4MxFsGTght45A4aXiUu+ZO9c//r//g2uu6d1/lDym\nSsSpYFpb60uqCqbZhXuppjrWgC9xna2eqQNqbGzk9rvu6vmennzySTZs2ADA8OHD2WGHHQDYdttt\ndWMyROUTUK8BZuI7Id0I3KKq3sEpUw/a73+/Nz2VVlsLR2Wpj0gFPfAl3nDgPeqo3l6+UQNgItFb\nnZxqQy2k1DuUTBo+nCn19X0T1TM1J6lA2dzczOXnn6/SvvSRc0B1zv3QzH4EfBE4CrjIzP4K3ADc\now5Jg0uqM1EqYC1f3jvmM5X2+utwyCFw992Zg2IqLb19NZHo7ZEbtTQZLjWHS9GpvIsUk0r7kkle\nnZKcc+3AQmChme2Mrwa+Gqgxsz2dc+/Fn0Uph/TS39tv+zZQ6K26veACPyRmwYL+g1jca7CGq5NT\nx039LqTUK/lRByeV9qWvQnr5JumdHF8T4g8i2Up/DQ3Q2tpbck0F1lIHsXAbalihpd6hYkV7e7/P\nc6EOTsWjG5XqlVdANbPh9Fb5fgL4C3AccJdzTkPqB4H+Sn/PPguPPNJ3IoXUe0odxOIu9Q4F4V6q\nW5Si8uyZqirPwmUKnC0tLZx4zDHUZSrl6kal4uUzbOZq4OvASmABMNM5t7ZYGZPy6K/0d911sHjx\nlp2AFMSqQ3ov1bCopZ+hXuUZtbSfrYTfGUy6/z/jx/Pxrbbqs1/dqFS+fEqoxwLN+Pl6DwAOMNty\n9Ixz7ovxZE3KJduY0uuuUyegapceNFOlpNbWVpYvX96TXs3ViwNVmTY3N/Pyyy/3LL2WUl9fzy67\n7JLT5y60tJ+thL9840Z+6Bzb19YO6RuVapVPQP0VvYuIyxCSXg2cmkcX+rafqv2yugzGdtCBPtNV\nN9zAMd/6FqtffbV36bUUM8ZMnMif77tvwM8dV2k/vYTfFpRw13R2cv+GDbQFeVzZ0cH6zZt59NFH\nq/pmZ7DLZ9jMd4qYD6lg4Wrg9JmUUkFUa5FWnzjaQePo4FSI9NJoU1MTnevXc35dHR8YObJPvs7e\ntIl169aR3LSJnYALEwkmBrVsnc6x1DmuDkrruShWUHPAeatX097V1Se9G/jR0UczYeJE/pJD0JfS\ni2UuXxn8UkFyoJmUFEyrT5R20Dg7OEWVqTTa1tnJujVrSAwbxqTddmN4XV3vG0L5rDFjyrBhTAlO\n2M3JJG92dxc9z7lyySRnAx8B6vBB9hXgHOdIqi21YimgSt4qYS3SKCvfSHyK0cEpH83NzTzzzDO0\nvfsuJ9TWMiEInGvMuNQMnCNZBWv5pZfom7u6wIxNzrETsJsZqbqDhHPUmFH5n2roUkCVSNJnUip1\nMM00gX+1VjtX681BIUEzVVUbng8XeufE3Xbbbdlnn3222B780JLZRx9NcuNG3n3nHX6ZSFAbVN22\nUR0TjfdXwh89bhzd773HsA0bqBs2jOHBZ6tzDquCm4ShTAFVIinnPLqDqdq5Em4OSt0OmqqqbX/n\nHda8+WafALgZqE8k6Kqp4S+LFrHPPvtsUbWbqtY9G9ipu5udEwlGJBKscI5Tk0kcsNo5XmhvJ1WR\nnayZgs8AACAASURBVP6ZuoKl19qCANXpHKtLOHtqfyX8lpYWTvrP/8Q2bsTMSAQnQELBtOIpoEre\nKmEe3Uqodo5DqW8O0kt67TU1nNHaiqWWHksJ2kELmbUn23tbWlpg0ybOSSSoAXYChgOvAucA3zPj\nku5u1q1bB2zZeaqpvZ0zEwk+DIzs7mbXRIKGoMdcAugw47xkkjGtrdSGS38jR7LtttuSGDmS1W+9\nxQ/TA5QZYxoaSrb02kDf32rneKa7m9ogn686R5dzVVECH6oUUCUvlTSPbjmrneOUWrEn/eYg20o+\nUWXqxGNdXXQ7B/X1/M/11zNu3DiAnqASdVhNf8NX2mpqqOnuZufaWuqAXc1oMGOEc9QBjanu5GnC\nnadqzagNSpTtQVVoWzKJAd/ZfntucY6Lrr+eyZMn09LSQltbG/X19Wy77bb87NpraW5uBuhZcg3y\nG4eai6g3Iw0NDdDQwHmwxffQZsZ4rbdasRRQJS+VNI9ulGrnYrRXFrLPcJVv6nPU1vrXTjkl3irf\n1tZWOtav57iamp5OPNTVsaqjg1+0tTFu3DimTJnSs/3y5csjD6vpb0jOqZs24TJMCgPQ4RyrnKPT\nOVauXMny5ctpamqiI20ICfi2Uge0BAF1lXOsTSa5sbOTuq23pr6+vqe9dVh7e98SOGxxU5AKgOEJ\nLiBaJ6tCxvg2Njby5/vuK3jyiXxpDuHCKaBK3qLMoxt3IItS7VyM9spC95mq8k2t5DN2rF8W74IL\n/OIDcd6gtLS0sHrNGn5p1tOJB3rbD1taWvoE1JT+htX0W62b7b2Zggw+MK4GrunqIgFcefbZXD9i\nRM90fC0jR/bZ1ypgWE0NO40dS21dHe2bN+PefJMkYG1tnPbd7/a0t/44kWCfiROpC24k0m8K4p7k\notAxvo2NjSUNYoNxko9yUECVoos7kEWtdi5Ge2U1dZBqa2uj3jnONesZfwmwvLubHzq3RWloIC0t\nLZx23HEZL8LtNTVYhlJl2GudndQAm51juHM8i29LPRPYCtixpoaGujpe7uzkBOd4ub2dcW1ttHR0\n0A7McY53nWNMVxe1+BuDduCihoaeeXCb2ts51YzxwK51dYwIB/dQ+2qxJvufNHw4DYkE77a1kXSO\nto4ONm7ezIMPPkhLS0vRSpv50mIH8VBAlaKLO+gUUu1cjM5MhewzdXMwd27ve8eOhe99r3ht0hPT\nAmpbxN6jbW1tWS/CZ7S2+rbZDBJmJOvrOXfTJtbQO8ylHT+JwdbARKD2rbewt99meDJJd3c3l23e\nzHXBtjZmDOYc244YwRVB229TUxNnHH00H99qqz4l2Zos1cvQW5Juamqis6uLsXV17AwkEomeSSG6\nNm+mqalpi/fmUhXa0tHBqc3NdAW9jLuA9cC5P/wh7WaMD816VAlVrkN9sYNCKaBKXqJW3cYdyApZ\nvq0YnZmi7jN1c7BgQd/2YCi8/TT9Ar1y5UrfNplMslsoiHYOMFxkoGE1GS/CwXEzvbeupoaTL7iA\n0aNH89xzz7EpKOG++OKL3LtwITsNG8auiUTPcJFNzlEzbBgnn38+BxxwQJ/9hYNNS0sLSedoCh2z\nqb2dDucgQ1Dt6u7mhKOPpr6rq6dqeFUiQZ0ZJBK8f9dd6ejo4K033+S0WbOoTzVup+RQFdrmHCST\nnAvsAnTiq6rbzTgHemY9UpXr4KCAKjkrtOq2UnrlFmMMbSH7XLAg/mFIGafla2sjkUxyajLJL4Cx\nQZB5Iwg49WlBcaDpBdO3DzMzqK/n7I6OLd7bUVfHxT/+MbZ5My4UzNvb2tjsHC8AHxs2DILXwhep\nbKW15uZmZh99NOvWrOHM0EQPnc7xZlcXTycS7LhxI7VBsH21o4PO4OfS0aNxdXWcmUgwwYzxZqxO\nJkkmkySdA+c4obaWT269dc/xcq0KXdXRQadzjAMmm9GJr9buSCSocY7UZIeqch0cFFAlZ4VW3ZZz\nMohwHgYKXvmWwgsZl1usYUiZLtDvJRI8BlwJvOQcm4NtVzuXsddtf5MPrFu3jnXr1tHW2dmnRNgQ\nZLZm2LA+w3DCWlpa+NG3vsUP1qxhfCh9ZXc35wI/6epih64uxgbpL+Mnhr/s7LO5/uc/z1haa21t\nJdHWxo/NmAakypKvOMdxwOXJJL9cvbrPezabkXSO4dtsw7i6OmrNeD2YtnCVc3S0t/NqcDMwoa6O\nKfX1tHd0kEwmacOvXZqqCk4P9KmbkSvffZd1ztECjKS3ejsRHCdduatcs9VGpKrG06kHcF8KqJKX\nqFW3pZwMIlsQ6uoaeBk6gJNPhj337BtgFyzYshSe2r6QgFjsYUjhC/SGzk5WAhuBn5lRHwTRLnz7\nZSbZSoPf/OIX6Vy/nnVr1nCqWU87ZdKMU8b6UJg+DCfMOcd4YP9UFSvwPDA6mWQdcCK9AagT6AC+\nV1vLb/sprZkZ4xMJRobShpthiQQOmLPjjkwMjd9c3drKT958kzbn/I1AIsHZySSdwfCbMcFx2oLv\nqr2jg1deeglCQ3R6qoLTqmVTNyPPPPMMp37nOwxbt44Jw4ZRZ0bCjBUlnJUpF/3VRnTW1XHiMcdQ\nlymwqzq6DwVUyVu+VbelnAxioGrpSy6Bmpr+l6F75hlYvNi/76ij4JBD4KWX+g5jCVdzFxoQ82kP\nLmT4UW1tLTU1NWwLXDpxIpODkmtT0IkoU2kyk3DpNxGqml3tHOclk1za0UH9NtvkNPlAnRkjgozX\nJ5PUACMTCb5uxtREguFmrHKOXwAfbmjgt/2U1mqGDaNx552ZFFphpqO9nW3Xr6fbjE9vu22f0t9T\nofc21tVx+6670ppM0tTezmmbNnHR9dcDcMbRRzOurs5Ptp9MMt6MDmBMIsFFI0dikLFatrGxkdbW\nVmpqa2kBXkwme6qiK23Wo4GmQjztu99VdXQOFFAlb/lW3ZZyMoiBqqVranLbDnpL4a+/3vcYuVZz\nx907N47hR2ZGDTA5rWoxY+ljAB8YOZJJu+3Ws6rLC+3tjGlt5aLrr+eDH/xg/qWWINhsAq5xjrEE\nVbdm1CUSPSXq/tSlDY2pB2pqa7F+SoSrOjpYHhoyZEB9bS2TJ0/2+6ypYUV7O23gq4KB182ohZ6b\nkkzVss3NzbS0tNBRU8O50GfWI6PvrEet/XTiKpWB/l7lro6uBgqokpeoVbeF9MrNV67V0gNtlz6M\npdzzBkdpww5fkNva2/0E8DkEplyF1xutB2o7Opg8eXJOwXS1c7yQTPZMYP8afqKGUVtvjdXUcNHo\n0T0BqyGRoDWZhAECTLaA1NXdTVt7e0+7MUBXsFTalZ2dXLdxY98dhaf3C6pCO7u6fFVwIuEDfTCH\ncGuGYUfhTmG1XV2Met/7ejpgueHDOev882lsbOwZh9rc3Fz29WWlcAqokrNKmsd3ILlWS2fbLr0U\nDn2nBixXD+VcbxYytYl1dnWx1jm2NqMldNEuZSkolbdkfT3nOcc2ySQ1odJjhxm1tbUMGzasT3Vo\nazLZbz77awPsqKlh3Ztv8tg777AqdDOx2jkccMpPf8ree++9xf5SNwWpqtCmpiZOmzWLi0aOZHIw\nYUNjXV2f0m1PfsOdwtJ7B3d0sPfee/dpXy73+rISDwVUyVklzeM7kFyrpTNtB1uWws8/3xfsxo7t\nu79yzAGcy81Cpgt0S0sLJxx9NIm2Nk5rb+9b2otQCopaPdnY2Mh1t9zC0d/8Jmze3DN0BHybqjU0\n4CDjkJts+Ux93kzz3z7//PNceMYZXEnfC16qM1ZjY2PWzlOpfafU1/7/7d17mF1Vfcbx7zuZXERp\nSIgkYDAChg4EBROrRivYar21oIitRqvBGCGotd6K1cderAgWrbRYCYY84eKDUUQt+lTFG8pFxJoo\nSEwEGksiASIBIhCSycys/rH2SfZsz5k558w+e5/L+3me88ycffbZe+29Z87vrLXX+q3J+wL9rpER\nNu3ePeZxN9JM2u5Bs8zm6E7hgFqgTp1IOq3Iplto7pzV2yxdbb2VK2HmzNG1vpEReOghmDsXbrpp\n//tuuAEOPnj/l4xGruNE7ofW+2Uh+wE9MDDAN667bsK1oPHGp9YTmBcvXjxmWYCmylktFeLeoSFG\nQuDv5s7lqVOmxGQLwNbBQf7t8cfZvXs3W7ZsGff48zjuTtSrx90MB9SCtMNE0p2mmXNWb7P0WOtt\n2LB/6rSREdi0CU49Nfb+Xb06Pp8yBb71rVhzrfQObuQ6Njumd6LDj2qluKtk66knqObVPJlnjWzL\nli3cfvvt7N25k4/09/O05N5un8Rm4B3Jemdv3bqvc9DeEHhsZIQPvu1tTJ4+fdzhH73aLNurx90M\nB9SCdFIS9XbRzDmrt1m6mfUq+37oIbjvPjjtNDjjjOavY6NjevO4h51Xirt2+hCtHNPuhx/moe3b\n6U+NbaWvj7lz5gBx3lRGRvioxBESu0dG+E1fH0P9/ZxT5/CPWuNys9O+bd68maHh4a5pJm2n693O\nHFAL1IrE7J2iyBzA9TZLN7pe5d7ljBnx+S9/CYsXT+w6NjKmN4972N2Y4q5yTO+aPJnPJOkDj+jr\nYzAE7hkZISQ10vv37mVvMhxnnsSgxBRiKsRmh3/U+oIyODTEPQ88wAef/GT63UzaMxxQC9Yu+WyL\nVHQO4Fbdq07fu5wxI9ZUZ8yY2HVsZkxvI8tr6cYxhXOT9IHT+vpisoiREQgB9fWBxOeGhtiV1Eqn\nVIa69PXFNIBNGusLygdmzeLcVav2jWetcDNp93JDY8Fq9SrtZumm28rxVppJjz22uRzAtVSCd3ad\n1avj8iZnKhvVrHvzzTE14X33xaDa7HXMbnPFitHnyOqzbds2du/dy9bBQXaHwPXDw3xjaIgfDA+z\nOQR+MzLCk2fP5v0f/SizZs9m7rx5HDF/PkfMn89R8+fvm3R8IipfUCqPI6ZOZUp/P0ceeSQDAwOj\nHg6m3cs11AIVmc+23RSVA7iR+6711mSz9y5Xr44dl1772tjLd2Cg8evYSWN621l6lplPSzw0NBSz\nEgGPA5P7+pgzNMTk6dOZP38+k/v7uRf2JZNgnPGtZo1wQC2IP0DzzQG8YUP1c5ZOeD9W8G6kGTp9\n7zJbpkoZ+voau45lj+ntls4yo2aZkdDkyQTg7hD4cAgMz5y5LxUi4OEf1lIOqAUp+wO0HeSVA3jZ\nsjgjzJo1tYPheMG70R7EtXoHpzssNXodix7TC905prDaLDPTgEdCYMaBB47KK9yq4R/d8gXFJsYB\ntUBlfIC2izxzAPf1xXuYYwXDeoJ3s83QzV7Hdkjs0Y1jCmvNMjNr1y4uuOSSUceU9/F14xcUa54D\nqo1rooGgFc3dYwXDRoJ3q3tdpxNJ1JourtHEHhO9Hp0YNMdTbZaZyYODvzclXbWkFtD8l4lu/IJi\nzXNAtTHlkeGpFc3dlXul2WCYnUS8sh+oHrwbbYZutIzpc1dpYq6kLBwYgFWrGksI4Yxb1dXT5JpX\nUossB02rcEC1MeWV4SnP5u5KUNmxY3QwXLo0BqrKJOJp1YJ3q3tdVzt3N9wAV18Nc+bA9dc3nhDC\nGbdGa6TJtRuTWlh7cUC1cbVbhqe+vhhMr746Dl25/PIYTCvPs8E03RM3vWzDhtb1uq68P3vuBgdj\nMJ1IQoh2ux5laqbJtRuTWlh7cEC1urRThqeRkVgTfe1rY1CspP+rjAtNB8NaTaRr1sSflST4FXn0\nus7us3Lu7r0XHn4Yjjpq4k3M7XQ9yuYmV2sXDqhWl1bea2xU+p5sJZhOnhxrqtlg2GyC/YmWL71P\niMH03nvj78cdF8s6kSbmdroeRcu7Y5FZXjoqoEr6EPDnwAnAnhDCzJKL1BPaMcNTvUNjoPVNpNVq\ntJWa7jnnwAMPxJrziSfCYYfFWnW6rI02Mbfj9ShKHh2LPGbUWqWjAiowGbgKuBlYNs66loN2zfDU\naFBpVRPpWL1uN26EPXtg1iw49FC49trRQ2UqPZUbnZi8Ha9HUSbSschjRq3VOiqghhA+AiBpadll\n6RXtmOGpmaDSSBNpI+M8x2pSXrAAnvKU/fusZHaqNudqvdrxepShmY5FHjNqrdZRAdXK0W4ZnhoN\nKqtW7R/vmQ54IyNxgvC0ZsZ5VmtSXrBgdC/ibA16Iueu3a5HJ3HQtFbyv6B1pHqDytAQfPazMcCl\na7MLFsTlQ0O///7K7DHZqeYGBmrvd/ny/TXR/v54zzRbg16xYn8N2sy6T+k1VEnnAR8YY5UAHBNC\nuGMi+3nPe97D9OnTRy1bsmQJS5Ysmchmrc3198OZZ8YaaqWZtzL92plnVh+zumnT/lzB6Rrnpk21\nm1WzTcoDA9XTHPZSs2wruWORjWft2rWsXbt21LKdO3e2dJ+lB1Tgk8Cl46yzeaI7ueCCC1i4cOFE\nN2NtopH7nGecEZfV08u3UkNdtSpOHj5jRvy5YcP+7WTV6iCVTuyQ3r41zx2LrF7VKkzr169n0aJF\nLdtn6QE1hLAD2FF2OaxzNHufs55evpUa6pQpcN99sH17XDZ7dvUaaq/3ui2aOxZZOys9oDZC0uHA\nTGAeMEnS8clLd4UQqgxMs27UTLKG8Xr5ptMT7tgBt94KBxwA8+bB3XfH5/PnV+/l6163xXLQtHbV\nUQEV+Bfgzann65OffwJcX3xxrBXqac5tJFnDeGNW0zXeZctih6Ljj4d16+C222IQPv74309rWOFe\nt2YGHdbLN4TwlhDCpCoPB9MuUQlulR62FatXx+XpHrLpnrW1mnFrNcmme9yma7xr1sDRR8O2bXHd\nww6LyewHB+NyB0kzq6XTaqjW5Rppzq0nWUO9TbKV9110EfzqV/H3Qw+Nj7174z3VSy6J62V7BpuZ\nQYfVUK03VGqQF18ck9+nm2sr0kH25pv3r5+t2UL9TbLLl8PUqTBtGuzeDSedFLe9YEG8h7pggYOp\nmdXmjwdrS2P1ym1Vz9rVq2PT7pQpcNBB8MMfjj01XDdoZPiRmY3NAdXa0ljNua3oWVtJT3jWWbFj\n0po18O53QwjxPmq1qeE6XTPDj8ysNv+7WNuppzk3z5612fSElW1MmxaH0AwOxn3nFVxqpR4sOiVh\n+n51Ns3iscc6mJo1yjVUaytlJErIpieEOI/pk54E5567P8tSuizNardaYavnijXrJQ6o1lbKSpRQ\nSSu4cmUcMjN1Knz4w6MDy4YNEy9DM0kpWi2vuWJ9P9Z6nf/Mre1kU/uNtzwvy5fHDknDwzBpUutq\nafX0Yi5StfvVjWpk/LBZt3JAtbZV9Id0JbAceGDM47t06f7llQnD86pp1ZOUogiNDD8ai+/HmrnJ\n1wrUaJNgkc2j2fSES5fC1VfDjTfGGWfyrkHWk5QiT9XO8cjI6EnQYWL3q30/1nqdvzdaIZqtbRbR\nPFqtI9Tll8eUg48+Gjst5R1M86gV1qvWuV+zJv5ctmz08uXLm+8c1S41b7MyOKBaISbSJNjqD+lK\nR6hsr9sZM+CII+KwmryCXT25hfM21rmv1YzdbO0/j/uxZp3KTb5WmGabBItoHs3mCB5rdpqJ7qeM\nXsxFNMe28ryZdQLXUK1QjdY2y2gebXUNsqzp3lpZ0y+j5m3WblxDtUI1UtssI8lDN08Y3sqafjef\nN7N6OaBaYRptEizrQ7obJwwvojm2G8+bWSMcUK0QzdY2/SE9cWXU9M16kUIIZZehpSQtBNatW7eO\nhQsXll2cnubUdOXxuTeD9evXs2jRIoBFIYT1eW/f/0o9oJ1mN2lkueXH596s9fzv1OWcY9XMrBgO\nqF3OOVbNzIrhTkk9wDlWzcxaz/WTHuEcq2ZmreWA2iOcY9XMrLUcUHtA0en7zMx6ke+hdjkP6jcz\nK4YDapdzjlUzs2L447QHeFC/mVnr+SPVzMwsBw6oZmZmOXBANTMzy4EDqpmZWQ4cUM3MzHLggGpm\nZpYDB1QzM7McOKCamZnlwAHVzMwsBw6oZmZmOXBANTMzy4EDqpmZWQ4cUM3MzHLggGpmZpYDB1Qz\nM7McOKCamZnlwAHVzMwsBw6oZmZmOXBANTMzy4EDqpmZWQ4cUM3MzHLggGpmZpYDB1QzM7McOKCa\nmZnlwAHVzMwsBx0TUCXNk7Ra0mZJuyTdKemfJU0uu2ydYO3atWUXoVS9fvzgc9Drxw8+B63WMQEV\nGAAEvA04FngPsAL4WJmF6hS9/o/U68cPPge9fvzgc9Bq/WUXoF4hhGuBa1OL/k/SJ4lB9exySmVm\nZhZ1Ug21moOAB8suhJmZWccGVElPB94JXFx2WczMzEpv8pV0HvCBMVYJwDEhhDtS73kK8E3giyGE\nNePsYhrAxo0bJ1rUjrZz507Wr19fdjFK0+vHDz4HvX784HOQigPTWrF9hRBasd36CyAdDBw8zmqb\nQwhDyfqHAdcBPwohvKWO7b8BuHLCBTUzs27xxhDC5/PeaOkBtRFJzfT7wP8Abwp1FD4J2C8D/g/Y\n3dICmplZO5sGPA24NoSwI++Nd0xATWqmPwR+DZwODFdeCyHcX1KxzMzMgDa4h9qAPwOOTB5bk2Ui\n3mOdVFahzMzMoINqqGZmZu2sY4fNmJmZtRMHVDMzsxz0VECVdI2kuyU9LmmbpCskHVp2uYriCQZA\n0ock3STpMUk9kWVL0jsk/Tr5u/+xpD8qu0xFkfRCSV+TdI+kEUmnlF2mIkn6oKSfSPqdpPslfVXS\n0WWXq0iSVki6VdLO5PEjSS9vxb56KqASh9z8JXA08BrgKOBLpZaoWJ5gACYDVwEryy5IESS9Dvg3\n4J+AZwG3AtdKmlVqwYrzRODnwNuJHRh7zQuBTwPPBV5C/Pv/tqQnlFqqYm0lJg9aCCwixoFrJB2T\n9456ulOSpJOBrwJTQwjD463fjSS9H1gRQnh62WUpkqSlwAUhhJlll6WVJP0YuCWE8LfJcxE/YC4M\nIZxfauEKJmkEeHUI4Wtll6UsyRep7cCJIYQbyy5PWSTtAN4fQrg0z+32Wg11H0kzgTcCN/VqME14\ngoEulTTlLwK+V1mWJEP5LrC4rHJZqQ4i1tR78n9eUp+k1wMHADfnvf2eC6iSPi7pUeAB4HDg1SUX\nqTSeYKDrzSKO0c4mPrkfmFN8caxMSevEvwM3hhB+WXZ5iiTpOEmPAHuAi4BTQwib8t5PxwdUSecl\nnQ1qPYYzN+HPB04gJooYBj5XSsFz1MQ5aHSCgbbWzPGb9aCLiH0nXl92QUqwCTgeeA6x/8QVkgby\n3knH30NtNLl+5r1PId5PWhxCuKUV5StCqycYaHfN/A30wj3UpMl3F3Ba+r6hpMuA6SGEU8sqWxl6\n+R6qpP8ETgZeGELYUnZ5yibpO8BdIYSz8txuJ6UerCpJcNxskuNKysKpORWnFI2cg8wEA8taWa6i\nTPBvoGuFEPZKWge8GPga7Gv2ezFwYZlls+IkwfRVwEkOpvv00YLP/Y4PqPWS9Bzgj4AbgYeApwP/\nAtxJC25Ot6OkZvoD4gQDZwOHxM/X3plgQNLhwExgHjBJ0vHJS3eFEB4rr2Qt8yngsiSw/oQ4VOoA\n4LIyC1UUSU8k/q8rWXRkcs0fDCFsrf3O7iDpImAJcArwmKTZyUs7Qwg9MfuWpHOJt7e2AAcSO6Oe\nBLw09311epNvvSQdB/wH8Ezi2LR7iSf5YyGEe8ssW1GSZs7s/VIRO3/2xAQDki4F3lzlpT8JIVxf\ndHmKIOntxC9Qs4ljMv8mhPDTcktVDEknEW9vZD/oLg8hdEULzViSZu5qH/JvCSFcUXR5yiBpNfCn\nwKHATuA24OMhhO/nvq9eCahmZmat1PG9fM3MzNqBA6qZmVkOHFDNzMxy4IBqZmaWAwdUMzOzHDig\nmpmZ5cAB1czMLAcOqGZmZjlwQDUzM8uBA6p1JUknJVO3/UE7bS/ZxiljvP6D1JRzz5zIvloh7/Na\nZfv7zo+kecnzlp0HSUslPZR5Xpn271Ot2q91JwdU61iSnidpSNLXa6ySd17NIvJ0BmAVcQLw28db\nuYigU0VR+Uq3UOd5mKD08Xwh2WdPTJhh+XJAtU72VuI0ZCdKmlN2YXK0K4Tw2xDCSB3riuICXC6S\neVrHFaLtdZ6HXIQQ9oQQtgODRe3TuocDqnWkZFqu1wErgf8GTq/jPS+QdJ2kxyQ9KOmbkqYnr02R\ndKGk+yU9LukGSc+usplnS/qfZBs3SZqf2cdZku6StEfSRkl/ncOxHiTpSknbJe2S9Ktk5iCAzcnP\nnyc11e8n73m2pG9L+q2kh5Om5Gdltjsi6a2SvpIczx2STs6s88pkf7skfQ94Wub1mZI+L+k3yTZu\nk/T6zDrXSfq0pAsk/Rb4VrJ8vqTrk/N9u6SXZN43qvYt6dJUc+xw6vcTk9enSPpkUpZHJd2czDaT\n3ubpku5OXv8y409Mb1Y3B1TrVK8DNoYQ7gSuJNZWa5J0AvBdYvPh84DFwDXsn2T+E8CpwJuAZwF3\nAddKOii9GeAc4pyii4AhUtPhSToV+PdkWwuITbeXZj/Um3AOMAC8LPl5FvBA8tpzknL9KbGp8jXJ\n8gOJc54+H3gucAfwjeSLSNo/Eps5nwF8A7iycsyS5gJfJp6n44HVwMcz758G/BR4RXLMnwWuqPJl\n5M3AnqQ8KyQJ+AqwmzhP8QrgX/n92nb6+buSY5xDnIrrP4D7gU3J659JjvWvkuP5EvBNSUclx/Pc\n5BguBE4gTuv2YczyEkLww4+OexAnin9n8vsk4gfrianXTwKGgT9Inl8JXF9jWwcQP+xfl1rWD/wG\neF9mey9KrfOKZNmUVJlWZrb9ReDrqecjwCljHNd1wKcyy64BVtdYf16yzWeOc776iHNBvjJTln/O\nnIcR4KXJ83OBX2S2c176vNbY19eB8zPH9NPMOi9Nzvns1LKXpc/PWMdG/OLwGPC85PnhwF5gTma9\n7wDnpP4Gvp55fS1xsvFxr4Mffoz3cA3VOo6kPyTWzL4AEEIYBq5i7FrqCcD3arx2FDGA/qiy7mE8\nTQAAA9pJREFUIIQwBPwEOCaz7i9Sv1cmpj8k+XlMehuJm6pso1ErgSWSfibpXyUtHu8Nkg6RdEnS\njPswMZg+EXhqZtV9xxNC2AX8jv3HMwDckll/VGcdSX2S/iFp6t0h6RFisMzuZ13m+QCwNYRwf61t\nj3FszwKuAN4RQvhxsvgZxC9Wd0h6pPIATgSOTNY5ZrzjMZuI/rILYNaEtxI/PO+NLYf77JH0zhDC\nI1Xe83hO+96b+r3SHNnSL6YhhG9JeirwSuDPgO9J+s8QwtljvO0KYAbwN8TesnuAHwNTMuvtzTwP\nNHY8Zyf7+Ftic/pjxKbY7H4ea2CbNSWdz64BVoUQLku99CRiE/xCYq027dE89m02HtdQraNImkS8\nz/le4n299GMbsKTGW28DXlzjtf8lBpYXpPbTT7y3t6GB4m1MbyPxAuCXDWyjqhDCjhDC50IIbwbe\nDZyRvFTpjTop85bnAxeGEK4NIWwkHt+sBne7kdgSkJatHT8fuCaEsDaE8Avg18DRdW77cEmzM9uu\neQ9V0lTgv4jn832Z9X5GPAezQwibM4/tqX0+d5zjMWuaa6jWaU4GDgLWZGuikr4CLCd2BoLYWafi\nPOA2SZ8BLiYGmBcBV4UQHpS0EviE4iD/rcSa1xNIdTrKbK/ask8AX5T0c2IHqFOIHZ1qBfK6SPoI\nscl0A7ET0F+wP0hvJ9a+Xy7pHmB3COF3wJ3AmyStA6YD5wO7Gtz1xcB7JZ1P7MzzbGBpZp07gdOS\nZuiHiR22ZjP+F5HvJu+9QtLfJWU8p8p66fO7CpiblOGQVOvEgyGEOyV9Ptne+4kB9hBiZ61bQwjf\nJHZGulHS+4i13JcT79ua5cI1VOs0y4Dv1GjW/TKwSNJxyfN9tZsQewO/FHgm8T7aTcSAN5Ss8vfJ\n+68g9lo9ktg5Z2dq+9XGe6b3cQ2x6fN9xObPtwGnhxBuGGcb4xkkdhC6FfhBUuYlyT6HiU2uZwL3\nEGtwEJvFZxAD8eXEZtjtjDbe8WwFTgNeBfycWCv+YGb9c4D1xKEw3yfeV/7qePsJIQTg1cQvCLcQ\ng+WHxioP8X7oocQvE9uSfW1jfy3zdOL1+ySx5+9XiF8CtiT7vIV4Td6VHM9LgI9W2adZUxT/rs2s\nHUi6DvhZCOG9ZZell/k6WDNcQzVrP2+X9DtJC8ouSK+R9Iakd/Afl10W6zyuoZq1EUmHEu/dAmxJ\nhu9YQZLEF5WOUg+HEB4sszzWWRxQzczMcuAmXzMzsxw4oJqZmeXAAdXMzCwHDqhmZmY5cEA1MzPL\ngQOqmZlZDhxQzczMcuCAamZmloP/By1VcSFZnuDiAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1256acf98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(1,4):\n",
    "    n_samples = len(y)\n",
    "    ratio = i/4\n",
    "    choiced_idx = np.arange(len(y))\n",
    "    np.random.shuffle(choiced_idx)\n",
    "    choiced_y = y[choiced_idx[:int(n_samples*ratio)]]\n",
    "\n",
    "    labels = -np.ones(n_samples)\n",
    "    for label,index in zip(choiced_y,choiced_idx):\n",
    "        labels[index] = label\n",
    "\n",
    "    label_spread = label_propagation.LabelSpreading(kernel='rbf', gamma=10, alpha=0.5)\n",
    "    label_spread.fit(X, labels)\n",
    "    output_labels = label_spread.predict(X)\n",
    "    \n",
    "    \n",
    "    plt.figure(figsize=(5,5))\n",
    "    for idx, cl in enumerate(np.unique(y)):\n",
    "        plt.scatter(x=X_std[output_labels == cl, 0], y=X_std[output_labels == cl, 1],\n",
    "                    alpha=0.8, c=cmap(idx),\n",
    "                    marker=markers[idx], label=cl)\n",
    "    plt.title('Labels learned with Label Spreading(ratio = {})'.format(ratio))\n",
    "    plt.xlabel(used_feature1+' [standardized]')\n",
    "    plt.ylabel(used_feature2+' [standardized]')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 408,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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wBQsNTTOzI/AdneJyL/7zyfxdZfs+Pxxs++6hdhYEr8/gLwz/J+PhkX5jow1CYY/ig+pZ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\nUEAVERFJgAKqiIhIAhRQRUREEvD/ASB+/q2cQtj5AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1256b45f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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PkiVLWLJkSb+0trbSLdxmzrmSHSxJZvYD4KPA+51z6UG2OxB45JFHHuHAAw8s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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x124bfb7f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for k in ['rbf','knn']:\n",
    "    n_samples = len(y)\n",
    "    ratio = 1/4\n",
    "    choiced_idx = np.arange(len(y))\n",
    "    np.random.shuffle(choiced_idx)\n",
    "    choiced_y = y[choiced_idx[:int(n_samples*ratio)]]\n",
    "\n",
    "    labels = -np.ones(n_samples)\n",
    "    for label,index in zip(choiced_y,choiced_idx):\n",
    "        labels[index] = label\n",
    "\n",
    "    label_spread = label_propagation.LabelSpreading(kernel=k, gamma=10, alpha=0.5)\n",
    "    label_spread.fit(X, labels)\n",
    "    output_labels = label_spread.predict(X)\n",
    "    \n",
    "    \n",
    "    plt.figure(figsize=(5,5))\n",
    "    for idx, cl in enumerate(np.unique(y)):\n",
    "        plt.scatter(x=X_std[output_labels == cl, 0], y=X_std[output_labels == cl, 1],\n",
    "                    alpha=0.8, c=cmap(idx),\n",
    "                    marker=markers[idx], label=cl)\n",
    "    plt.title('Labels learned with Label Spreading(kernel = {})'.format(k))\n",
    "    plt.xlabel(used_feature1+' [standardized]')\n",
    "    plt.ylabel(used_feature2+' [standardized]')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 409,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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L+js8DHzWQkPMzOxYfAemuKzEvz+Z36tsn+c1wbaZgaEv2Lb/3JkfKlNI79Fizn2m9G9H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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x125559240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Wfwr8zTm3opzHFqmEWhrCU0t5FSlGwVW7zrm1ZrYP8Dl8h6NtgBuB/61AG+U1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\n76rUIxWMFuMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11efdc780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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vRle10ZnvW/4B8Gfn3NPF3LdIKVRSCk8l1VUkH1l37Trn1pnZQcBn8ROOtgdu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\nT4FUspJrF20xF3EYLvj09o5+OTiAb3wDDjxwcGB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uuCIOfZk0CT760ZEBZePG/GVoJplE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\nD6GeBC4CghDAAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x124b67b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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SrWqeAD08hGfq3lNZ89ga7rz8ThYsXMAVl19R7uINUE1lFclXPoE0BoxKs30K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\nqZmZWQ7/Hwwd6rKq2eaqAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1209cf550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for a in [0.2*x for x in range(1,5)]:\n",
    "    a = round(a,1)\n",
    "    n_samples = len(y)\n",
    "    ratio = 1/4\n",
    "    choiced_idx = np.arange(len(y))\n",
    "    np.random.shuffle(choiced_idx)\n",
    "    choiced_y = y[choiced_idx[:int(n_samples*ratio)]]\n",
    "\n",
    "    labels = -np.ones(n_samples)\n",
    "    for label,index in zip(choiced_y,choiced_idx):\n",
    "        labels[index] = label\n",
    "\n",
    "    label_spread = label_propagation.LabelSpreading(kernel='rbf', gamma=10, alpha=a)\n",
    "    label_spread.fit(X, labels)\n",
    "    output_labels = label_spread.predict(X)\n",
    "    \n",
    "    \n",
    "    plt.figure(figsize=(5,5))\n",
    "    for idx, cl in enumerate(np.unique(y)):\n",
    "        plt.scatter(x=X_std[output_labels == cl, 0], y=X_std[output_labels == cl, 1],\n",
    "                    alpha=0.8, c=cmap(idx),\n",
    "                    marker=markers[idx], label=cl)\n",
    "    plt.title('Labels learned with Label Spreading(alpha = {})'.format(a))\n",
    "    plt.xlabel(used_feature1+' [standardized]')\n",
    "    plt.ylabel(used_feature2+' [standardized]')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernel_info": {
   "name": "python2"
  },
  "kernelspec": {
   "display_name": "Python [conda root]",
   "language": "python",
   "name": "conda-root-py"
  },
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