13 - wine_vqc_classificator.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit import BasicAer\n",
    "from qiskit.utils import QuantumInstance, algorithm_globals\n",
    "from qiskit.algorithms.optimizers import COBYLA\n",
    "from qiskit.circuit.library import TwoLocal, ZZFeatureMap, EfficientSU2\n",
    "from qiskit_machine_learning.algorithms import VQC\n",
    "from qiskit.opflow import PauliSumOp\n",
    "\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.datasets import load_wine\n",
    "from sklearn.preprocessing import OneHotEncoder, MinMaxScaler\n",
    "from sklearn.feature_selection import SelectKBest, chi2\n",
    "\n",
    "import json\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import time\n",
    "from IPython.display import clear_output\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "plt.rcParams['figure.figsize'] = [10, 7]\n",
    "%config InlineBackend.figure_format = 'retina'\n",
    "\n",
    "seed = 1376\n",
    "algorithm_globals.random_seed = seed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = load_wine()\n",
    "\n",
    "X = pd.DataFrame(data.data, columns=data.feature_names)\n",
    "\n",
    "Y = pd.DataFrame(data.target)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>alcohol</th>\n",
       "      <th>malic_acid</th>\n",
       "      <th>ash</th>\n",
       "      <th>alcalinity_of_ash</th>\n",
       "      <th>magnesium</th>\n",
       "      <th>total_phenols</th>\n",
       "      <th>flavanoids</th>\n",
       "      <th>nonflavanoid_phenols</th>\n",
       "      <th>proanthocyanins</th>\n",
       "      <th>color_intensity</th>\n",
       "      <th>hue</th>\n",
       "      <th>od280/od315_of_diluted_wines</th>\n",
       "      <th>proline</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>14.23</td>\n",
       "      <td>1.71</td>\n",
       "      <td>2.43</td>\n",
       "      <td>15.6</td>\n",
       "      <td>127.0</td>\n",
       "      <td>2.80</td>\n",
       "      <td>3.06</td>\n",
       "      <td>0.28</td>\n",
       "      <td>2.29</td>\n",
       "      <td>5.64</td>\n",
       "      <td>1.04</td>\n",
       "      <td>3.92</td>\n",
       "      <td>1065.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>13.20</td>\n",
       "      <td>1.78</td>\n",
       "      <td>2.14</td>\n",
       "      <td>11.2</td>\n",
       "      <td>100.0</td>\n",
       "      <td>2.65</td>\n",
       "      <td>2.76</td>\n",
       "      <td>0.26</td>\n",
       "      <td>1.28</td>\n",
       "      <td>4.38</td>\n",
       "      <td>1.05</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1050.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>13.16</td>\n",
       "      <td>2.36</td>\n",
       "      <td>2.67</td>\n",
       "      <td>18.6</td>\n",
       "      <td>101.0</td>\n",
       "      <td>2.80</td>\n",
       "      <td>3.24</td>\n",
       "      <td>0.30</td>\n",
       "      <td>2.81</td>\n",
       "      <td>5.68</td>\n",
       "      <td>1.03</td>\n",
       "      <td>3.17</td>\n",
       "      <td>1185.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>14.37</td>\n",
       "      <td>1.95</td>\n",
       "      <td>2.50</td>\n",
       "      <td>16.8</td>\n",
       "      <td>113.0</td>\n",
       "      <td>3.85</td>\n",
       "      <td>3.49</td>\n",
       "      <td>0.24</td>\n",
       "      <td>2.18</td>\n",
       "      <td>7.80</td>\n",
       "      <td>0.86</td>\n",
       "      <td>3.45</td>\n",
       "      <td>1480.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>13.24</td>\n",
       "      <td>2.59</td>\n",
       "      <td>2.87</td>\n",
       "      <td>21.0</td>\n",
       "      <td>118.0</td>\n",
       "      <td>2.80</td>\n",
       "      <td>2.69</td>\n",
       "      <td>0.39</td>\n",
       "      <td>1.82</td>\n",
       "      <td>4.32</td>\n",
       "      <td>1.04</td>\n",
       "      <td>2.93</td>\n",
       "      <td>735.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   alcohol  malic_acid   ash  alcalinity_of_ash  magnesium  total_phenols  \\\n",
       "0    14.23        1.71  2.43               15.6      127.0           2.80   \n",
       "1    13.20        1.78  2.14               11.2      100.0           2.65   \n",
       "2    13.16        2.36  2.67               18.6      101.0           2.80   \n",
       "3    14.37        1.95  2.50               16.8      113.0           3.85   \n",
       "4    13.24        2.59  2.87               21.0      118.0           2.80   \n",
       "\n",
       "   flavanoids  nonflavanoid_phenols  proanthocyanins  color_intensity   hue  \\\n",
       "0        3.06                  0.28             2.29             5.64  1.04   \n",
       "1        2.76                  0.26             1.28             4.38  1.05   \n",
       "2        3.24                  0.30             2.81             5.68  1.03   \n",
       "3        3.49                  0.24             2.18             7.80  0.86   \n",
       "4        2.69                  0.39             1.82             4.32  1.04   \n",
       "\n",
       "   od280/od315_of_diluted_wines  proline  \n",
       "0                          3.92   1065.0  \n",
       "1                          3.40   1050.0  \n",
       "2                          3.17   1185.0  \n",
       "3                          3.45   1480.0  \n",
       "4                          2.93    735.0  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
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      "text/plain": [
       "   0\n",
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       "4  0"
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     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "Y.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(178, 13)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(178, 1)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Y.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Select best predictors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "test = SelectKBest(score_func=chi2, k=4)\n",
    "fit = test.fit(X, Y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "scores = fit.scores_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{\n",
      "    \"magnesium\": 45.02638086789583,\n",
      "    \"alcalinity_of_ash\": 29.383695485795723,\n",
      "    \"malic_acid\": 28.068604567158005,\n",
      "    \"total_phenols\": 15.623075898380389,\n",
      "    \"alcohol\": 5.445498824971958,\n",
      "    \"ash\": 0.7433805981876216\n",
      "}\n"
     ]
    }
   ],
   "source": [
    "combined = dict(zip(data.feature_names[:6], scores[:6]))\n",
    "combined = dict(sorted(combined.items(), key=lambda x:x[1], reverse=True))\n",
    "\n",
    "json_object = json.dumps(combined, indent = 4) \n",
    "print(json_object)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 575,
       "width": 592
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams['figure.figsize'] = [10, 10]\n",
    "plt.bar(combined.keys(), combined.values(), color='g')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_data = X[['magnesium', 'alcalinity_of_ash', 'malic_acid', 'total_phenols']]\n",
    "Y_data = Y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.61956522, 0.25773196, 0.1916996 , 0.62758621],\n",
       "       [0.32608696, 0.03092784, 0.2055336 , 0.57586207],\n",
       "       [0.33695652, 0.41237113, 0.3201581 , 0.62758621],\n",
       "       [0.4673913 , 0.31958763, 0.23913043, 0.98965517],\n",
       "       [0.52173913, 0.53608247, 0.36561265, 0.62758621],\n",
       "       [0.45652174, 0.2371134 , 0.20158103, 0.78965517],\n",
       "       [0.2826087 , 0.20618557, 0.22332016, 0.52413793],\n",
       "       [0.55434783, 0.36082474, 0.27865613, 0.55862069],\n",
       "       [0.29347826, 0.17525773, 0.17786561, 0.62758621],\n",
       "       [0.30434783, 0.27835052, 0.12055336, 0.68965517]])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scaler_mm = MinMaxScaler()\n",
    "X_data_temp = scaler_mm.fit_transform(X_data)\n",
    "X_data_temp[:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1., 0., 0.],\n",
       "       [1., 0., 0.],\n",
       "       [1., 0., 0.],\n",
       "       [1., 0., 0.],\n",
       "       [1., 0., 0.],\n",
       "       [1., 0., 0.],\n",
       "       [1., 0., 0.],\n",
       "       [1., 0., 0.],\n",
       "       [1., 0., 0.],\n",
       "       [1., 0., 0.]])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Y_data = np.array(Y_data)\n",
    "ohe_transformer = OneHotEncoder(sparse = False)\n",
    "Y_data_temp = ohe_transformer.fit_transform(Y_data.reshape(-1,1))\n",
    "Y_data_temp[:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train, X_test, y_train, y_test = train_test_split(X_data_temp, Y_data_temp, test_size=0.2, random_state=seed)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "feature_dim = X_data.shape[1]\n",
    "feature_dim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "feature_map = ZZFeatureMap(feature_dimension=feature_dim, reps=1, entanglement=\"linear\") # full\n",
    "\n",
    "#ansatz = TwoLocal(feature_map.num_qubits, ['ry', 'rz'], 'cz', reps=3)\n",
    "ansatz = EfficientSU2(num_qubits = feature_map.num_qubits, reps = 4, entanglement = \"full\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 628.397x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 16,
     "metadata": {
      "image/png": {
       "height": 214,
       "width": 488
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ansatz.draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1591.6x565.88 with 1 Axes>"
      ]
     },
     "execution_count": 17,
     "metadata": {
      "image/png": {
       "height": 441,
       "width": 1216
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ansatz.decompose().draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "device = BasicAer.get_backend('statevector_simulator')\n",
    "\n",
    "quantum_instance = QuantumInstance(device, shots=1024, seed_simulator=seed, seed_transpiler=seed)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "def callback_graph(weights, obj_func_eval):\n",
    "    clear_output(wait = True)\n",
    "    objective_func_vals.append(obj_func_eval)\n",
    "    plt.title(\"Objective function value against iteration\")\n",
    "    plt.xlabel(\"Iteration\")\n",
    "    plt.ylabel(\"Objective function value\")\n",
    "    plt.plot(range(len(objective_func_vals)), objective_func_vals)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "initial_point = algorithm_globals.random.random(ansatz.num_parameters)\n",
    "optimizer = COBYLA(maxiter = 120, tol = 0.001)\n",
    "\n",
    "vqc = VQC(feature_map=feature_map, \n",
    "          ansatz=ansatz, \n",
    "          optimizer=optimizer, \n",
    "          initial_point = initial_point,\n",
    "          quantum_instance= quantum_instance,\n",
    "          callback = callback_graph)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 603,
       "width": 608
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time elapsed:  277.8784499168396\n"
     ]
    }
   ],
   "source": [
    "start = time.time()\n",
    "\n",
    "objective_func_vals = []\n",
    "\n",
    "vqc.fit(X_train, y_train)\n",
    "\n",
    "elapsed = time.time() - start\n",
    "\n",
    "print(\"Time elapsed: \", elapsed)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train score: 69.01 %\n",
      "Test score: 69.44 %\n"
     ]
    }
   ],
   "source": [
    "print(\"Train score: {:.2f} %\".format(vqc.score(X_train, y_train)*100))\n",
    "print(\"Test score: {:.2f} %\".format(vqc.score(X_test, y_test)*100))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h3>Version Information</h3><table><tr><th>Qiskit Software</th><th>Version</th></tr><tr><td><code>qiskit-terra</code></td><td>0.21.0</td></tr><tr><td><code>qiskit-aer</code></td><td>0.10.4</td></tr><tr><td><code>qiskit-ignis</code></td><td>0.6.0</td></tr><tr><td><code>qiskit-ibmq-provider</code></td><td>0.19.2</td></tr><tr><td><code>qiskit</code></td><td>0.37.0</td></tr><tr><td><code>qiskit-machine-learning</code></td><td>0.4.0</td></tr><tr><th>System information</th></tr><tr><td>Python version</td><td>3.7.7</td></tr><tr><td>Python compiler</td><td>MSC v.1916 64 bit (AMD64)</td></tr><tr><td>Python build</td><td>default, May  6 2020 11:45:54</td></tr><tr><td>OS</td><td>Windows</td></tr><tr><td>CPUs</td><td>8</td></tr><tr><td>Memory (Gb)</td><td>15.872657775878906</td></tr><tr><td colspan='2'>Wed Jul 20 15:04:48 2022 Hora de verano romance</td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div style='width: 100%; background-color:#d5d9e0;padding-left: 10px; padding-bottom: 10px; padding-right: 10px; padding-top: 5px'><h3>This code is a part of Qiskit</h3><p>&copy; Copyright IBM 2017, 2022.</p><p>This code is licensed under the Apache License, Version 2.0. You may<br>obtain a copy of this license in the LICENSE.txt file in the root directory<br> of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.<p>Any modifications or derivative works of this code must retain this<br>copyright notice, and modified files need to carry a notice indicating<br>that they have been altered from the originals.</p></div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import qiskit.tools.jupyter\n",
    "\n",
    "%qiskit_version_table\n",
    "%qiskit_copyright"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}