NQSVC.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "0b2f3725-5afc-42a8-9e5d-91600fb35fd3",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<frozen importlib._bootstrap>:219: RuntimeWarning: scipy._lib.messagestream.MessageStream size changed, may indicate binary incompatibility. Expected 56 from C header, got 64 from PyObject\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "# Importing standard Qiskit libraries\n",
    "from qiskit import QuantumCircuit, transpile, Aer, IBMQ\n",
    "from qiskit.tools.jupyter import *\n",
    "from qiskit.visualization import *\n",
    "from ibm_quantum_widgets import *\n",
    "from qiskit.providers.aer import QasmSimulator\n",
    "\n",
    "# Loading your IBM Quantum account(s)\n",
    "provider = IBMQ.load_account()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ef8d45e0-b367-4d68-927a-8c3e6168f216",
   "metadata": {},
   "source": [
    "# PIP Installs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a8c9ed75-5cd1-4332-ac71-00dfc2d37bf5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "Collecting git+https://github.com/qiskit-community/Quantum-Challenge-Grader.git\n",
      "  Cloning https://github.com/qiskit-community/Quantum-Challenge-Grader.git to /tmp/pip-req-build-juvnavc1\n",
      "  Running command git clone -q https://github.com/qiskit-community/Quantum-Challenge-Grader.git /tmp/pip-req-build-juvnavc1\n",
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      "Requirement already satisfied: MarkupSafe>=2.0 in /opt/conda/lib/python3.8/site-packages (from nbconvert>=5->notebook>=4.4.1->widgetsnbextension~=3.6.0->ipywidgets>=7.6.0->ipycytoscape->qc-grader==0.12.2) (2.1.1)\n",
      "Requirement already satisfied: defusedxml in /opt/conda/lib/python3.8/site-packages (from nbconvert>=5->notebook>=4.4.1->widgetsnbextension~=3.6.0->ipywidgets>=7.6.0->ipycytoscape->qc-grader==0.12.2) (0.7.1)\n",
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      "Requirement already satisfied: pandocfilters>=1.4.1 in /opt/conda/lib/python3.8/site-packages (from nbconvert>=5->notebook>=4.4.1->widgetsnbextension~=3.6.0->ipywidgets>=7.6.0->ipycytoscape->qc-grader==0.12.2) (1.5.0)\n",
      "Requirement already satisfied: mistune<2,>=0.8.1 in /opt/conda/lib/python3.8/site-packages (from nbconvert>=5->notebook>=4.4.1->widgetsnbextension~=3.6.0->ipywidgets>=7.6.0->ipycytoscape->qc-grader==0.12.2) (0.8.4)\n",
      "Requirement already satisfied: nbclient>=0.5.0 in /opt/conda/lib/python3.8/site-packages (from nbconvert>=5->notebook>=4.4.1->widgetsnbextension~=3.6.0->ipywidgets>=7.6.0->ipycytoscape->qc-grader==0.12.2) (0.5.13)\n",
      "Requirement already satisfied: beautifulsoup4 in /opt/conda/lib/python3.8/site-packages (from nbconvert>=5->notebook>=4.4.1->widgetsnbextension~=3.6.0->ipywidgets>=7.6.0->ipycytoscape->qc-grader==0.12.2) (4.9.3)\n",
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      "Requirement already satisfied: bleach in /opt/conda/lib/python3.8/site-packages (from nbconvert>=5->notebook>=4.4.1->widgetsnbextension~=3.6.0->ipywidgets>=7.6.0->ipycytoscape->qc-grader==0.12.2) (4.1.0)\n",
      "Requirement already satisfied: argon2-cffi-bindings in /opt/conda/lib/python3.8/site-packages (from argon2-cffi->notebook>=4.4.1->widgetsnbextension~=3.6.0->ipywidgets>=7.6.0->ipycytoscape->qc-grader==0.12.2) (21.2.0)\n",
      "Requirement already satisfied: soupsieve>1.2 in /opt/conda/lib/python3.8/site-packages (from beautifulsoup4->nbconvert>=5->notebook>=4.4.1->widgetsnbextension~=3.6.0->ipywidgets>=7.6.0->ipycytoscape->qc-grader==0.12.2) (2.3.1)\n",
      "Requirement already satisfied: webencodings in /opt/conda/lib/python3.8/site-packages (from bleach->nbconvert>=5->notebook>=4.4.1->widgetsnbextension~=3.6.0->ipywidgets>=7.6.0->ipycytoscape->qc-grader==0.12.2) (0.5.1)\n",
      "Requirement already satisfied: lrcurve==1.1.0 in /opt/conda/lib/python3.8/site-packages (from jupyterplot->qc-grader==0.12.2) (1.1.0)\n",
      "Requirement already satisfied: matplotlib in /opt/conda/lib/python3.8/site-packages (from jupyterplot->qc-grader==0.12.2) (3.5.1)\n",
      "Requirement already satisfied: kiwisolver>=1.0.1 in /opt/conda/lib/python3.8/site-packages (from matplotlib->jupyterplot->qc-grader==0.12.2) (1.4.2)\n",
      "Requirement already satisfied: pyparsing>=2.2.1 in /opt/conda/lib/python3.8/site-packages (from matplotlib->jupyterplot->qc-grader==0.12.2) (3.0.7)\n",
      "Requirement already satisfied: fonttools>=4.22.0 in /opt/conda/lib/python3.8/site-packages (from matplotlib->jupyterplot->qc-grader==0.12.2) (4.31.2)\n",
      "Requirement already satisfied: cycler>=0.10 in /opt/conda/lib/python3.8/site-packages (from matplotlib->jupyterplot->qc-grader==0.12.2) (0.11.0)\n",
      "Requirement already satisfied: pillow>=6.2.0 in /opt/conda/lib/python3.8/site-packages (from matplotlib->jupyterplot->qc-grader==0.12.2) (9.0.1)\n",
      "Requirement already satisfied: tenacity>=6.2.0 in /opt/conda/lib/python3.8/site-packages (from plotly->qc-grader==0.12.2) (8.0.1)\n",
      "Requirement already satisfied: pure-eval in /opt/conda/lib/python3.8/site-packages (from stack-data->ipython>=4.0.0->ipywidgets>=7.6.0->ipycytoscape->qc-grader==0.12.2) (0.2.2)\n",
      "Requirement already satisfied: executing in /opt/conda/lib/python3.8/site-packages (from stack-data->ipython>=4.0.0->ipywidgets>=7.6.0->ipycytoscape->qc-grader==0.12.2) (0.8.3)\n",
      "Requirement already satisfied: asttokens in /opt/conda/lib/python3.8/site-packages (from stack-data->ipython>=4.0.0->ipywidgets>=7.6.0->ipycytoscape->qc-grader==0.12.2) (2.0.5)\n"
     ]
    }
   ],
   "source": [
    "!pip install mlxtend\n",
    "!pip install lightgbm\n",
    "!pip install git+https://github.com/qiskit-community/Quantum-Challenge-Grader.git"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2e654bab-aaad-4ec1-8721-10232b4aa9bd",
   "metadata": {},
   "source": [
    "# Imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "7ffbf13e-b3c8-46a7-9e3c-cf288e3fe159",
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "import pandas as pd\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.patches import Patch\n",
    "from matplotlib.lines import Line2D\n",
    "from mlxtend.plotting import plot_decision_regions\n",
    "import seaborn as sns\n",
    "import networkx as nx\n",
    "from IPython.display import clear_output\n",
    "import plotly.graph_objects as go\n",
    "from plotly.subplots import make_subplots\n",
    "\n",
    "\n",
    "\n",
    "from sklearn import datasets\n",
    "from sklearn.datasets import make_hastie_10_2\n",
    "from sklearn.ensemble import GradientBoostingClassifier, AdaBoostClassifier, RandomForestClassifier\n",
    "from sklearn import metrics\n",
    "from sklearn.metrics import confusion_matrix, accuracy_score, precision_score, recall_score,  f1_score, classification_report\n",
    "from sklearn.preprocessing import LabelEncoder, StandardScaler, MinMaxScaler\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.pipeline import make_pipeline\n",
    "from sklearn import svm\n",
    "from sklearn.svm import SVC\n",
    "from sklearn.model_selection import train_test_split, GridSearchCV\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "from sklearn.tree import DecisionTreeClassifier\n",
    "from sklearn.neural_network import MLPClassifier\n",
    "\n",
    "import lightgbm as lgbm\n",
    "\n",
    "from qiskit import Aer, execute\n",
    "from qiskit.opflow import Z, I, PauliExpectation, CircuitSampler, StateFn\n",
    "from qiskit.utils import QuantumInstance\n",
    "from qiskit.circuit import QuantumCircuit, Parameter, ParameterVector\n",
    "from qiskit.circuit.library import HGate, RXGate, RYGate, RZGate, CXGate, CRXGate, CRZGate \n",
    "from qiskit.circuit.library import PauliFeatureMap, ZFeatureMap, ZZFeatureMap\n",
    "from qiskit.circuit.library import TwoLocal, NLocal, RealAmplitudes, EfficientSU2\n",
    "from qiskit.algorithms.optimizers import GradientDescent, COBYLA, SLSQP, ADAM\n",
    "from qiskit.visualization import plot_state_city\n",
    "from qiskit_machine_learning.kernels import QuantumKernel\n",
    "from qiskit_machine_learning.algorithms import QSVC\n",
    "from qc_grader.utilities.graph_util import display_maxcut_widget, QAOA_widget\n",
    "from qiskit.providers.aer.noise import NoiseModel\n",
    "from qiskit.providers.aer.noise.errors import pauli_error, depolarizing_error\n",
    "from qiskit.utils.mitigation import complete_meas_cal, CompleteMeasFitter\n",
    "from qiskit.opflow.gradients import Gradient, NaturalGradient, QFI, Hessian\n",
    "#from qiskit.algorithms.MulticlassExtension import AllPairs\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "50b8153b-676e-4c97-88d4-960e4997144c",
   "metadata": {},
   "source": [
    "# Loading the IRIS Dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "8c166043-678b-4ec0-a64c-c7e304ea4b03",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'data': array([[5.1, 3.5, 1.4, 0.2],\n",
      "       [4.9, 3. , 1.4, 0.2],\n",
      "       [4.7, 3.2, 1.3, 0.2],\n",
      "       [4.6, 3.1, 1.5, 0.2],\n",
      "       [5. , 3.6, 1.4, 0.2],\n",
      "       [5.4, 3.9, 1.7, 0.4],\n",
      "       [4.6, 3.4, 1.4, 0.3],\n",
      "       [5. , 3.4, 1.5, 0.2],\n",
      "       [4.4, 2.9, 1.4, 0.2],\n",
      "       [4.9, 3.1, 1.5, 0.1],\n",
      "       [5.4, 3.7, 1.5, 0.2],\n",
      "       [4.8, 3.4, 1.6, 0.2],\n",
      "       [4.8, 3. , 1.4, 0.1],\n",
      "       [4.3, 3. , 1.1, 0.1],\n",
      "       [5.8, 4. , 1.2, 0.2],\n",
      "       [5.7, 4.4, 1.5, 0.4],\n",
      "       [5.4, 3.9, 1.3, 0.4],\n",
      "       [5.1, 3.5, 1.4, 0.3],\n",
      "       [5.7, 3.8, 1.7, 0.3],\n",
      "       [5.1, 3.8, 1.5, 0.3],\n",
      "       [5.4, 3.4, 1.7, 0.2],\n",
      "       [5.1, 3.7, 1.5, 0.4],\n",
      "       [4.6, 3.6, 1. , 0.2],\n",
      "       [5.1, 3.3, 1.7, 0.5],\n",
      "       [4.8, 3.4, 1.9, 0.2],\n",
      "       [5. , 3. , 1.6, 0.2],\n",
      "       [5. , 3.4, 1.6, 0.4],\n",
      "       [5.2, 3.5, 1.5, 0.2],\n",
      "       [5.2, 3.4, 1.4, 0.2],\n",
      "       [4.7, 3.2, 1.6, 0.2],\n",
      "       [4.8, 3.1, 1.6, 0.2],\n",
      "       [5.4, 3.4, 1.5, 0.4],\n",
      "       [5.2, 4.1, 1.5, 0.1],\n",
      "       [5.5, 4.2, 1.4, 0.2],\n",
      "       [4.9, 3.1, 1.5, 0.2],\n",
      "       [5. , 3.2, 1.2, 0.2],\n",
      "       [5.5, 3.5, 1.3, 0.2],\n",
      "       [4.9, 3.6, 1.4, 0.1],\n",
      "       [4.4, 3. , 1.3, 0.2],\n",
      "       [5.1, 3.4, 1.5, 0.2],\n",
      "       [5. , 3.5, 1.3, 0.3],\n",
      "       [4.5, 2.3, 1.3, 0.3],\n",
      "       [4.4, 3.2, 1.3, 0.2],\n",
      "       [5. , 3.5, 1.6, 0.6],\n",
      "       [5.1, 3.8, 1.9, 0.4],\n",
      "       [4.8, 3. , 1.4, 0.3],\n",
      "       [5.1, 3.8, 1.6, 0.2],\n",
      "       [4.6, 3.2, 1.4, 0.2],\n",
      "       [5.3, 3.7, 1.5, 0.2],\n",
      "       [5. , 3.3, 1.4, 0.2],\n",
      "       [7. , 3.2, 4.7, 1.4],\n",
      "       [6.4, 3.2, 4.5, 1.5],\n",
      "       [6.9, 3.1, 4.9, 1.5],\n",
      "       [5.5, 2.3, 4. , 1.3],\n",
      "       [6.5, 2.8, 4.6, 1.5],\n",
      "       [5.7, 2.8, 4.5, 1.3],\n",
      "       [6.3, 3.3, 4.7, 1.6],\n",
      "       [4.9, 2.4, 3.3, 1. ],\n",
      "       [6.6, 2.9, 4.6, 1.3],\n",
      "       [5.2, 2.7, 3.9, 1.4],\n",
      "       [5. , 2. , 3.5, 1. ],\n",
      "       [5.9, 3. , 4.2, 1.5],\n",
      "       [6. , 2.2, 4. , 1. ],\n",
      "       [6.1, 2.9, 4.7, 1.4],\n",
      "       [5.6, 2.9, 3.6, 1.3],\n",
      "       [6.7, 3.1, 4.4, 1.4],\n",
      "       [5.6, 3. , 4.5, 1.5],\n",
      "       [5.8, 2.7, 4.1, 1. ],\n",
      "       [6.2, 2.2, 4.5, 1.5],\n",
      "       [5.6, 2.5, 3.9, 1.1],\n",
      "       [5.9, 3.2, 4.8, 1.8],\n",
      "       [6.1, 2.8, 4. , 1.3],\n",
      "       [6.3, 2.5, 4.9, 1.5],\n",
      "       [6.1, 2.8, 4.7, 1.2],\n",
      "       [6.4, 2.9, 4.3, 1.3],\n",
      "       [6.6, 3. , 4.4, 1.4],\n",
      "       [6.8, 2.8, 4.8, 1.4],\n",
      "       [6.7, 3. , 5. , 1.7],\n",
      "       [6. , 2.9, 4.5, 1.5],\n",
      "       [5.7, 2.6, 3.5, 1. ],\n",
      "       [5.5, 2.4, 3.8, 1.1],\n",
      "       [5.5, 2.4, 3.7, 1. ],\n",
      "       [5.8, 2.7, 3.9, 1.2],\n",
      "       [6. , 2.7, 5.1, 1.6],\n",
      "       [5.4, 3. , 4.5, 1.5],\n",
      "       [6. , 3.4, 4.5, 1.6],\n",
      "       [6.7, 3.1, 4.7, 1.5],\n",
      "       [6.3, 2.3, 4.4, 1.3],\n",
      "       [5.6, 3. , 4.1, 1.3],\n",
      "       [5.5, 2.5, 4. , 1.3],\n",
      "       [5.5, 2.6, 4.4, 1.2],\n",
      "       [6.1, 3. , 4.6, 1.4],\n",
      "       [5.8, 2.6, 4. , 1.2],\n",
      "       [5. , 2.3, 3.3, 1. ],\n",
      "       [5.6, 2.7, 4.2, 1.3],\n",
      "       [5.7, 3. , 4.2, 1.2],\n",
      "       [5.7, 2.9, 4.2, 1.3],\n",
      "       [6.2, 2.9, 4.3, 1.3],\n",
      "       [5.1, 2.5, 3. , 1.1],\n",
      "       [5.7, 2.8, 4.1, 1.3],\n",
      "       [6.3, 3.3, 6. , 2.5],\n",
      "       [5.8, 2.7, 5.1, 1.9],\n",
      "       [7.1, 3. , 5.9, 2.1],\n",
      "       [6.3, 2.9, 5.6, 1.8],\n",
      "       [6.5, 3. , 5.8, 2.2],\n",
      "       [7.6, 3. , 6.6, 2.1],\n",
      "       [4.9, 2.5, 4.5, 1.7],\n",
      "       [7.3, 2.9, 6.3, 1.8],\n",
      "       [6.7, 2.5, 5.8, 1.8],\n",
      "       [7.2, 3.6, 6.1, 2.5],\n",
      "       [6.5, 3.2, 5.1, 2. ],\n",
      "       [6.4, 2.7, 5.3, 1.9],\n",
      "       [6.8, 3. , 5.5, 2.1],\n",
      "       [5.7, 2.5, 5. , 2. ],\n",
      "       [5.8, 2.8, 5.1, 2.4],\n",
      "       [6.4, 3.2, 5.3, 2.3],\n",
      "       [6.5, 3. , 5.5, 1.8],\n",
      "       [7.7, 3.8, 6.7, 2.2],\n",
      "       [7.7, 2.6, 6.9, 2.3],\n",
      "       [6. , 2.2, 5. , 1.5],\n",
      "       [6.9, 3.2, 5.7, 2.3],\n",
      "       [5.6, 2.8, 4.9, 2. ],\n",
      "       [7.7, 2.8, 6.7, 2. ],\n",
      "       [6.3, 2.7, 4.9, 1.8],\n",
      "       [6.7, 3.3, 5.7, 2.1],\n",
      "       [7.2, 3.2, 6. , 1.8],\n",
      "       [6.2, 2.8, 4.8, 1.8],\n",
      "       [6.1, 3. , 4.9, 1.8],\n",
      "       [6.4, 2.8, 5.6, 2.1],\n",
      "       [7.2, 3. , 5.8, 1.6],\n",
      "       [7.4, 2.8, 6.1, 1.9],\n",
      "       [7.9, 3.8, 6.4, 2. ],\n",
      "       [6.4, 2.8, 5.6, 2.2],\n",
      "       [6.3, 2.8, 5.1, 1.5],\n",
      "       [6.1, 2.6, 5.6, 1.4],\n",
      "       [7.7, 3. , 6.1, 2.3],\n",
      "       [6.3, 3.4, 5.6, 2.4],\n",
      "       [6.4, 3.1, 5.5, 1.8],\n",
      "       [6. , 3. , 4.8, 1.8],\n",
      "       [6.9, 3.1, 5.4, 2.1],\n",
      "       [6.7, 3.1, 5.6, 2.4],\n",
      "       [6.9, 3.1, 5.1, 2.3],\n",
      "       [5.8, 2.7, 5.1, 1.9],\n",
      "       [6.8, 3.2, 5.9, 2.3],\n",
      "       [6.7, 3.3, 5.7, 2.5],\n",
      "       [6.7, 3. , 5.2, 2.3],\n",
      "       [6.3, 2.5, 5. , 1.9],\n",
      "       [6.5, 3. , 5.2, 2. ],\n",
      "       [6.2, 3.4, 5.4, 2.3],\n",
      "       [5.9, 3. , 5.1, 1.8]]), 'target': array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
      "       0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
      "       0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
      "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
      "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
      "       2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
      "       2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]), 'frame': None, 'target_names': array(['setosa', 'versicolor', 'virginica'], dtype='<U10'), 'DESCR': '.. _iris_dataset:\\n\\nIris plants dataset\\n--------------------\\n\\n**Data Set Characteristics:**\\n\\n    :Number of Instances: 150 (50 in each of three classes)\\n    :Number of Attributes: 4 numeric, predictive attributes and the class\\n    :Attribute Information:\\n        - sepal length in cm\\n        - sepal width in cm\\n        - petal length in cm\\n        - petal width in cm\\n        - class:\\n                - Iris-Setosa\\n                - Iris-Versicolour\\n                - Iris-Virginica\\n                \\n    :Summary Statistics:\\n\\n    ============== ==== ==== ======= ===== ====================\\n                    Min  Max   Mean    SD   Class Correlation\\n    ============== ==== ==== ======= ===== ====================\\n    sepal length:   4.3  7.9   5.84   0.83    0.7826\\n    sepal width:    2.0  4.4   3.05   0.43   -0.4194\\n    petal length:   1.0  6.9   3.76   1.76    0.9490  (high!)\\n    petal width:    0.1  2.5   1.20   0.76    0.9565  (high!)\\n    ============== ==== ==== ======= ===== ====================\\n\\n    :Missing Attribute Values: None\\n    :Class Distribution: 33.3% for each of 3 classes.\\n    :Creator: R.A. Fisher\\n    :Donor: Michael Marshall (MARSHALL%PLU@io.arc.nasa.gov)\\n    :Date: July, 1988\\n\\nThe famous Iris database, first used by Sir R.A. Fisher. The dataset is taken\\nfrom Fisher\\'s paper. Note that it\\'s the same as in R, but not as in the UCI\\nMachine Learning Repository, which has two wrong data points.\\n\\nThis is perhaps the best known database to be found in the\\npattern recognition literature.  Fisher\\'s paper is a classic in the field and\\nis referenced frequently to this day.  (See Duda & Hart, for example.)  The\\ndata set contains 3 classes of 50 instances each, where each class refers to a\\ntype of iris plant.  One class is linearly separable from the other 2; the\\nlatter are NOT linearly separable from each other.\\n\\n.. topic:: References\\n\\n   - Fisher, R.A. \"The use of multiple measurements in taxonomic problems\"\\n     Annual Eugenics, 7, Part II, 179-188 (1936); also in \"Contributions to\\n     Mathematical Statistics\" (John Wiley, NY, 1950).\\n   - Duda, R.O., & Hart, P.E. (1973) Pattern Classification and Scene Analysis.\\n     (Q327.D83) John Wiley & Sons.  ISBN 0-471-22361-1.  See page 218.\\n   - Dasarathy, B.V. (1980) \"Nosing Around the Neighborhood: A New System\\n     Structure and Classification Rule for Recognition in Partially Exposed\\n     Environments\".  IEEE Transactions on Pattern Analysis and Machine\\n     Intelligence, Vol. PAMI-2, No. 1, 67-71.\\n   - Gates, G.W. (1972) \"The Reduced Nearest Neighbor Rule\".  IEEE Transactions\\n     on Information Theory, May 1972, 431-433.\\n   - See also: 1988 MLC Proceedings, 54-64.  Cheeseman et al\"s AUTOCLASS II\\n     conceptual clustering system finds 3 classes in the data.\\n   - Many, many more ...', 'feature_names': ['sepal length (cm)', 'sepal width (cm)', 'petal length (cm)', 'petal width (cm)'], 'filename': 'iris.csv', 'data_module': 'sklearn.datasets.data'}\n"
     ]
    }
   ],
   "source": [
    "iris = datasets.load_iris()\n",
    "\n",
    "print(iris)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "7fbaf415-b6be-435f-98da-d8f118a89880",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['sepal length (cm)',\n",
       " 'sepal width (cm)',\n",
       " 'petal length (cm)',\n",
       " 'petal width (cm)']"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iris.feature_names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e4c4e375-f73e-48f9-b37e-6132416a3c67",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['setosa', 'versicolor', 'virginica'], dtype='<U10')"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iris.target_names"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0e3d7d7e-e05c-423e-a00e-afd00bb48e97",
   "metadata": {},
   "source": [
    "# Converting dataset to DataFrame"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "46b4eb7d-af00-4b40-96a3-a2ab9b62d362",
   "metadata": {},
   "outputs": [],
   "source": [
    "iris_df_data = pd.DataFrame(iris.data, columns = iris.feature_names)\n",
    "iris_df_target = pd.DataFrame(iris.target, columns = ['Iris Label'])\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9babb312-a19d-458a-b487-b0e8f69d8552",
   "metadata": {},
   "source": [
    "# Analysing and Interpreting Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "91cb19a1-3eb1-48f4-b026-f161fb9b61fd",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>sepal length (cm)</th>\n",
       "      <th>sepal width (cm)</th>\n",
       "      <th>petal length (cm)</th>\n",
       "      <th>petal width (cm)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>5.1</td>\n",
       "      <td>3.5</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>4.9</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>4.7</td>\n",
       "      <td>3.2</td>\n",
       "      <td>1.3</td>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4.6</td>\n",
       "      <td>3.1</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5.0</td>\n",
       "      <td>3.6</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>145</th>\n",
       "      <td>6.7</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.2</td>\n",
       "      <td>2.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>146</th>\n",
       "      <td>6.3</td>\n",
       "      <td>2.5</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>147</th>\n",
       "      <td>6.5</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.2</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>148</th>\n",
       "      <td>6.2</td>\n",
       "      <td>3.4</td>\n",
       "      <td>5.4</td>\n",
       "      <td>2.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>149</th>\n",
       "      <td>5.9</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.1</td>\n",
       "      <td>1.8</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>150 rows × 4 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     sepal length (cm)  sepal width (cm)  petal length (cm)  petal width (cm)\n",
       "0                  5.1               3.5                1.4               0.2\n",
       "1                  4.9               3.0                1.4               0.2\n",
       "2                  4.7               3.2                1.3               0.2\n",
       "3                  4.6               3.1                1.5               0.2\n",
       "4                  5.0               3.6                1.4               0.2\n",
       "..                 ...               ...                ...               ...\n",
       "145                6.7               3.0                5.2               2.3\n",
       "146                6.3               2.5                5.0               1.9\n",
       "147                6.5               3.0                5.2               2.0\n",
       "148                6.2               3.4                5.4               2.3\n",
       "149                5.9               3.0                5.1               1.8\n",
       "\n",
       "[150 rows x 4 columns]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iris_df_data  # printing iris.data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "b21b0930-4dbc-4432-bbd9-80166511e080",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Iris Label</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>145</th>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>146</th>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>147</th>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>148</th>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>149</th>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>150 rows × 1 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     Iris Label\n",
       "0             0\n",
       "1             0\n",
       "2             0\n",
       "3             0\n",
       "4             0\n",
       "..          ...\n",
       "145           2\n",
       "146           2\n",
       "147           2\n",
       "148           2\n",
       "149           2\n",
       "\n",
       "[150 rows x 1 columns]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iris_df_target  # printing iris.target; 0 : Setosa, 1: Versicolour, 2 : Virginica"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "050b65f4-c281-4842-bb87-d4b187e478e5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>sepal length (cm)</th>\n",
       "      <th>sepal width (cm)</th>\n",
       "      <th>petal length (cm)</th>\n",
       "      <th>petal width (cm)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>150.000000</td>\n",
       "      <td>150.000000</td>\n",
       "      <td>150.000000</td>\n",
       "      <td>150.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>5.843333</td>\n",
       "      <td>3.057333</td>\n",
       "      <td>3.758000</td>\n",
       "      <td>1.199333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.828066</td>\n",
       "      <td>0.435866</td>\n",
       "      <td>1.765298</td>\n",
       "      <td>0.762238</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>4.300000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.100000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>5.100000</td>\n",
       "      <td>2.800000</td>\n",
       "      <td>1.600000</td>\n",
       "      <td>0.300000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>5.800000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>4.350000</td>\n",
       "      <td>1.300000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>6.400000</td>\n",
       "      <td>3.300000</td>\n",
       "      <td>5.100000</td>\n",
       "      <td>1.800000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>7.900000</td>\n",
       "      <td>4.400000</td>\n",
       "      <td>6.900000</td>\n",
       "      <td>2.500000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       sepal length (cm)  sepal width (cm)  petal length (cm)  \\\n",
       "count         150.000000        150.000000         150.000000   \n",
       "mean            5.843333          3.057333           3.758000   \n",
       "std             0.828066          0.435866           1.765298   \n",
       "min             4.300000          2.000000           1.000000   \n",
       "25%             5.100000          2.800000           1.600000   \n",
       "50%             5.800000          3.000000           4.350000   \n",
       "75%             6.400000          3.300000           5.100000   \n",
       "max             7.900000          4.400000           6.900000   \n",
       "\n",
       "       petal width (cm)  \n",
       "count        150.000000  \n",
       "mean           1.199333  \n",
       "std            0.762238  \n",
       "min            0.100000  \n",
       "25%            0.300000  \n",
       "50%            1.300000  \n",
       "75%            1.800000  \n",
       "max            2.500000  "
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iris_df_data.describe()  # standard decription of data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "6b17a775-107d-42ef-9101-cf67f7f91eec",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 150 entries, 0 to 149\n",
      "Data columns (total 4 columns):\n",
      " #   Column             Non-Null Count  Dtype  \n",
      "---  ------             --------------  -----  \n",
      " 0   sepal length (cm)  150 non-null    float64\n",
      " 1   sepal width (cm)   150 non-null    float64\n",
      " 2   petal length (cm)  150 non-null    float64\n",
      " 3   petal width (cm)   150 non-null    float64\n",
      "dtypes: float64(4)\n",
      "memory usage: 4.8 KB\n"
     ]
    }
   ],
   "source": [
    "iris_df_data.info()   # standard info about data "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "34010560-ef59-4850-84dc-15fd6402dcd3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['sepal length (cm)', 'sepal width (cm)', 'petal length (cm)',\n",
       "       'petal width (cm)'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iris_df_data.columns  # listing out column names of data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "da44d45c-273e-4597-b05f-f1a53c569fcf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "iris_df_data['sepal length (cm)'].hist()  # histogram plotting of data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "b5677086-17c4-4759-8d39-bd9937209dde",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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9D69h7r9x743/81SStD75yVNJKozBLkmFWVfBHhHnRsT9EfFoRDwSEdctsU1ExJ9VtzH4ekT83CBq7bWavY9HxLGI2F89/nAQtfZDRLwsIr4SEV+r+v/AEtv8SER8ttr3X46I0QGU2nM1e98VEf/dse/fNYha+yUiTo+Ir0bEXUusK3K/d+rS/4r3/Xr7ztMFYHdmPhQRLwdmI+LezHy0Y5s3AedXj9cBf1H93Ojq9A7wL5n5lgHU12/PAhdn5nxEbAIejIh7MvNLHdtcCxzNzPMi4u3AR4BfHkSxPVand4DPnvwBwIJcBxwAfnSJdaXu906n6h9WuO/X1RF7Zj6emQ9V08+w2Oi2kza7HPibXPQl4MyI2LrGpfZczd6LVe3P+Wp2U/U4+X/2Lwf2VdO3Am+MiFijEvumZu/FiohzgMuATy2zSZH7/YQa/a/Yugr2TtXbrdcCXz5p1TbgPzvmv0dhAXiK3gHeUL1lvycifmZtK+uv6u3ofuAIcG9mLrvvM3MBOAb82JoW2Sc1egf4xer0460Rce4S6zeqjwO/B/xwmfXF7vfKxzl1/7DCfb8ugz0iRoDbgN/OzKcHXc9a6tL7QyzeM+I1wJ8D/7DG5fVVZj6XmdtZ/BTzzoi4cMAlrZkavf8jMJqZPwvcy/8fwW5oEfEW4Ehmzg66lkGo2f+K9/26C/bqHONtwKcz8/YlNin2Vgbdes/Mp0+8Zc/Mu4FNEXHWGpfZd5n5FHA/cOlJq57f9xHxEmAL8P01La7Plus9M7+fmc9Ws58Cdqxxaf1yEfDWiDjI4h1iL46Ivztpm5L3e9f+m+z7dRXs1XmzG4EDmfnRZTa7E/jV6uqY1wPHMvPxNSuyT+r0HhE/ceLcYkTsZHH/FfELHhFnR8SZ1fRm4BLgGydtdidwTTV9JfCFLOATdnV6P+n/kd7K4v/BbHiZ+QeZeU5mjrJ4W5IvZOavnLRZkfsd6vXfZN+vt6tiLgKuBuaq840A7wN+EiAz/xK4G3gz8BjwP8CvrX2ZfVGn9yuB34iIBeA48PZSfsGBrcC+WPwCl9OAWzLzroj4IDCTmXey+A/f30bEY8CTLP4hlKBO778VEW9l8eqpJ4FdA6t2DQzJfl/Wave9txSQpMKsq1MxkqTVM9glqTAGuyQVxmCXpMIY7JJUGINdkgpjsEtSYf4PzFrcLPY01gEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "iris_df_data['sepal width (cm)'].hist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "e98c2279-9481-481f-93e5-cd33c382b5ff",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "iris_df_data['petal length (cm)'].hist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "4f2c6b03-827e-4850-ba2d-4da0456c673f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "iris_df_data['petal width (cm)'].hist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "2cad8ba5-8b78-43a7-9c50-c9815249f643",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "iris_df_target['Iris Label'].hist()  # This means all flowers have equal number of samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "540f807b-004f-4176-ab3a-199795929af7",
   "metadata": {},
   "outputs": [],
   "source": [
    "# scatterplot of data\n",
    "\n",
    "irisSB = sns.load_dataset('iris')\n",
    "sns.set_style(\"darkgrid\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "276cd319-4012-40fb-a7bc-57fc2e9d1ac2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x7fde137b24c0>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 516.75x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "sns.FacetGrid(irisSB, hue = \"species\", height = 6).map(plt.scatter, 'sepal_length', 'sepal_width').add_legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "58218b21-c283-4dcd-bce0-3afa3960c399",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x7fde1373b040>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 516.75x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.FacetGrid(irisSB, hue = \"species\", height = 6).map(plt.scatter, 'petal_length', 'petal_width').add_legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "8eac7d79-a0d7-4865-b4e9-35a5507a4820",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x7fde1372aa90>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 516.75x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.FacetGrid(irisSB, hue = \"species\", height = 6).map(plt.scatter, 'sepal_length', 'petal_length').add_legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "02555dc0-8db9-4684-9d37-3f57a0f7e72f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x7fde136d0e80>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 516.75x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.FacetGrid(irisSB, hue = \"species\", height = 6).map(plt.scatter, 'sepal_width', 'petal_width').add_legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "ab2bac16-0309-4983-b025-5f8a0594a94b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.PairGrid at 0x7fde138182e0>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 804.75x720 with 20 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Pair Plot\n",
    "\n",
    "sns.pairplot(irisSB, hue = 'species')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "38d630d0-a03c-4619-ada8-a044f0bdd478",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300.75x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300.75x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300.75x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300.75x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Distplot for data\n",
    "\n",
    "plot = sns.FacetGrid(irisSB, hue = \"species\")\n",
    "plot.map(sns.distplot, \"sepal_length\").add_legend()\n",
    "  \n",
    "plot = sns.FacetGrid(irisSB, hue = \"species\")\n",
    "plot.map(sns.distplot, \"sepal_width\").add_legend()\n",
    "  \n",
    "plot = sns.FacetGrid(irisSB, hue = \"species\")\n",
    "plot.map(sns.distplot, \"petal_length\").add_legend()\n",
    "  \n",
    "plot = sns.FacetGrid(irisSB, hue = \"species\")\n",
    "plot.map(sns.distplot, \"petal_width\").add_legend()\n",
    "  \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "0d734ead-b73e-42ff-b508-1398f47e76fc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Boxplot graph of features VS flower types\n",
    "\n",
    "def graph(y):\n",
    "    sns.boxplot(x = \"species\", y = y, data = irisSB)\n",
    "  \n",
    "plt.figure(figsize=(10,10))\n",
    "      \n",
    "# Adding the subplot at the specified\n",
    "# grid position\n",
    "plt.subplot(221)\n",
    "graph('sepal_length')\n",
    "  \n",
    "plt.subplot(222)\n",
    "graph('sepal_width')\n",
    "  \n",
    "plt.subplot(223)\n",
    "graph('petal_length')\n",
    "  \n",
    "plt.subplot(224)\n",
    "graph('petal_width')\n",
    "  \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "155aba97-dfaa-4673-9859-0cf012554e03",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='sepal_length'>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Outliers for the features\n",
    "\n",
    "sns.boxplot(x = 'sepal_length', data = irisSB)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "a5fb3274-953b-419b-9a84-76dee5454bbe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='sepal_width'>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.boxplot(x = 'sepal_width', data = irisSB)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "99ddaeb8-e43f-4c8b-8bbf-789873485e49",
   "metadata": {},
   "outputs": [],
   "source": [
    "## To remove Sepal Width Outliers using IQR(Interquartile Range)\n",
    "## Code is contained in Single Hashes!! \n",
    "\n",
    "## IQR\n",
    "#Q1 = np.percentile(irisSB['sepal_width'], 25, interpolation = 'midpoint')\n",
    "  \n",
    "#Q3 = np.percentile(irisSB['sepal_width'], 75, interpolation = 'midpoint')\n",
    "\n",
    "#IQR = Q3 - Q1\n",
    "  \n",
    "#print(\"Old Shape: \", irisSB.shape)\n",
    "  \n",
    "## Upper bound\n",
    "#upper = np.where(irisSB['sepal_width'] >= (Q3+1.5*IQR))\n",
    "  \n",
    "## Lower bound\n",
    "#lower = np.where(irisSB['sepal_width'] <= (Q1-1.5*IQR))\n",
    "  \n",
    "## Removing the Outliers\n",
    "#irisSB.drop(upper[0], inplace = True)\n",
    "#irisSB.drop(lower[0], inplace = True)\n",
    "  \n",
    "#print(\"New Shape: \", irisSB.shape)\n",
    "  \n",
    "#sns.boxplot(x = 'sepal_width', data = irisSB)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "994e641e-1af6-4915-b07f-7ea768fb83c2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='petal_length'>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.boxplot(x = 'petal_length', data = irisSB)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "913381de-1e77-45d6-9cd0-3d784c79fd81",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='petal_width'>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.boxplot(x = 'petal_width', data = irisSB)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "fdf420a4-3dd8-43e8-a26b-944ab60d8f76",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>sepal length (cm)</th>\n",
       "      <th>sepal width (cm)</th>\n",
       "      <th>petal length (cm)</th>\n",
       "      <th>petal width (cm)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>sepal length (cm)</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.117570</td>\n",
       "      <td>0.871754</td>\n",
       "      <td>0.817941</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sepal width (cm)</th>\n",
       "      <td>-0.117570</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.428440</td>\n",
       "      <td>-0.366126</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>petal length (cm)</th>\n",
       "      <td>0.871754</td>\n",
       "      <td>-0.428440</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.962865</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>petal width (cm)</th>\n",
       "      <td>0.817941</td>\n",
       "      <td>-0.366126</td>\n",
       "      <td>0.962865</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                   sepal length (cm)  sepal width (cm)  petal length (cm)  \\\n",
       "sepal length (cm)           1.000000         -0.117570           0.871754   \n",
       "sepal width (cm)           -0.117570          1.000000          -0.428440   \n",
       "petal length (cm)           0.871754         -0.428440           1.000000   \n",
       "petal width (cm)            0.817941         -0.366126           0.962865   \n",
       "\n",
       "                   petal width (cm)  \n",
       "sepal length (cm)          0.817941  \n",
       "sepal width (cm)          -0.366126  \n",
       "petal length (cm)          0.962865  \n",
       "petal width (cm)           1.000000  "
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Correlation Matrix\n",
    "\n",
    "iris_df_data.corr()  # Petal Length and Petal Width have high correlation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "976021bb-1ffc-4c3c-9d1b-269a4498968b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Correlation Matrix Heatmap\n",
    "\n",
    "corr = iris_df_data.corr()\n",
    "fig, ax = plt.subplots(figsize=(5,4))\n",
    "sns.heatmap(corr, annot=True, ax=ax, cmap = 'coolwarm')  # cmap = 'darkgrid' for light colours\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dffb6238-f859-4e7a-856b-893b71c9c6e0",
   "metadata": {},
   "source": [
    "# Splitting training and testing dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "ec053e18-82cf-4aaa-98f0-28efb134039f",
   "metadata": {},
   "outputs": [],
   "source": [
    "sepal_length = iris['data'][:, 0]\n",
    "sepal_width = iris['data'][:, 1]\n",
    "petal_length = iris['data'][:, 2]\n",
    "petal_width = iris['data'][:, 3]\n",
    "target = iris['target']\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "3cde2c1a-1489-48b9-bd8c-5d95161fc134",
   "metadata": {},
   "outputs": [],
   "source": [
    "#X = np.column_stack((sepal_length, sepal_width, petal_length, petal_width))\n",
    "X = np.column_stack((sepal_length, sepal_width, petal_length, petal_width))\n",
    "x = np.column_stack((sepal_length, sepal_width, petal_length))  # correlation of petal width and petal length is high, hence reducing variable\n",
    "Y = target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "23d3f99a-11a6-4b97-9960-c0c44a0812d5",
   "metadata": {},
   "outputs": [],
   "source": [
    "x_train, x_test, y_train, y_test = train_test_split(X, Y, test_size = 0.2, random_state = 345)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f998fd83-c528-46e2-add3-32883abe1f2b",
   "metadata": {},
   "source": [
    "# Data Preprocessing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "0b8038b7-be93-4f67-ac7f-32da39a2fdfd",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Reduce dimensions\n",
    "n_dim = 4\n",
    "pca = PCA(n_components = n_dim).fit(x_train)\n",
    "x_train = pca.transform(x_train)\n",
    "x_test = pca.transform(x_test)\n",
    "\n",
    "# Normalise\n",
    "std_scale = StandardScaler().fit(x_train)\n",
    "x_train = std_scale.transform(x_train)\n",
    "x_test = std_scale.transform(x_test)\n",
    "\n",
    "# Scale\n",
    "samples = np.append(x_train, x_test, axis = 0)\n",
    "minmax_scale = MinMaxScaler((-1, 1)).fit(samples)\n",
    "x_train = minmax_scale.transform(x_train)\n",
    "x_test = minmax_scale.transform(x_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "87635cb0-9132-42d8-bafc-446f513472b9",
   "metadata": {},
   "source": [
    "# Modelling with Classical SVM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "c13018e8-8e41-4b09-b1d3-8083e5974aaf",
   "metadata": {},
   "outputs": [],
   "source": [
    "C = 1  # Regularlization Parameter\n",
    "clf_CSVC = make_pipeline(SVC(C = C, decision_function_shape = 'ovo'))   # default kernel is ' RBF '\n",
    "model_CSVC = clf_CSVC.fit(x_train, y_train)  # CSVC Model Creation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "387af08c-5e50-4e41-957c-1bcc7a822a49",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model_CSVC.score(x_test, y_test)   # CSVC Model score against test data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "72cd3b82-2084-4532-ae22-ebcb48b3bda1",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Plotting Decision regions\n",
    "# The dimension should be 2 for plotting purposes\n",
    "# Also choose 2 features of the dataset\n",
    "\n",
    "\n",
    "#plot_decision_regions(X = x_test, y = y_test, clf = model_CSVC, legend = 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "591a93bc-4341-4843-87b5-16a523a3a659",
   "metadata": {},
   "source": [
    "# Modelling with Quantum SVM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "38238685-15a5-4e7f-88ef-f2e2e2115759",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Split dataset\n",
    "sample_train, sample_test, label_train, label_test = train_test_split(\n",
    "     x, Y, test_size = 0.2, random_state = 345)\n",
    "\n",
    "# Reduce dimensions\n",
    "n_dim = 3\n",
    "pca = PCA(n_components = n_dim).fit(sample_train)\n",
    "sample_train = pca.transform(sample_train)\n",
    "sample_test = pca.transform(sample_test)\n",
    "\n",
    "# Normalise\n",
    "std_scale = StandardScaler().fit(sample_train)\n",
    "sample_train = std_scale.transform(sample_train)\n",
    "sample_test = std_scale.transform(sample_test)\n",
    "\n",
    "# Scale\n",
    "samples = np.append(sample_train, sample_test, axis=0)\n",
    "minmax_scale = MinMaxScaler((-1, 1)).fit(samples)\n",
    "sample_train = minmax_scale.transform(sample_train)\n",
    "sample_test = minmax_scale.transform(sample_test)\n",
    "\n",
    "# Select\n",
    "train_size = 120\n",
    "sample_train = sample_train[:train_size]\n",
    "label_train = label_train[:train_size]\n",
    "\n",
    "test_size = 30\n",
    "sample_test = sample_test[:test_size]\n",
    "label_test = label_test[:test_size]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "0720a196-ea79-46bd-a7c4-2c2691eb7de9",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Backend and Quantum Instance\n",
    "\n",
    "backend = Aer.get_backend('statevector_simulator')\n",
    "q_instance = QuantumInstance(backend, shots = 8192, seed_simulator = 345, seed_transpiler = 345)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "04ba1470-654e-41d3-9610-67cb10d4c62e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 869.197x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Feature Map to convert classical data to quantum data, basically a parameterized Quantum Circuit\n",
    "# Can be used to map seemingly unseparable data to separable form, with respect to hyperplanes, in some higher dimension\n",
    "# This is achieved by e.g. rotation gate parameters depend on data features, etc.\n",
    "\n",
    "dim = 3  # Feature Dimension = number of qubits\n",
    "feature_map = ZZFeatureMap(feature_dimension = dim, reps = 1, entanglement = 'linear', insert_barriers = True, parameter_prefix = 'x').decompose() \n",
    "feature_map.draw('mpl', style = 'iqx')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "54957726-0078-4805-bb90-ab935d6470a9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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0CjAAAAAAAABYGgUYAAAAAAAALI0CDAAAAAAAAJZGAQYAAAAAAABLowADAAAAAACApVGAAQAAAAAAwNIowAAAAAAAAGBpFGAAAAAAAACwNAowAAAAAAAAWBoFGAAAAAAAACyNAgwAAAAAAACWRgEGAAAAAAAAS6MAAwAAAAAAgKX9P5TZP3rHinMOAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1591.6x565.88 with 1 Axes>"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Quantum Kernel\n",
    "\n",
    "q_kernel = QuantumKernel(feature_map = feature_map, quantum_instance = q_instance)\n",
    "\n",
    "q_circuit = q_kernel.construct_circuit(sample_train[0], sample_train[1])\n",
    "q_circuit.decompose().decompose().draw(output = 'mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "ee93d2ae-1bdf-49bb-baa7-efb45dc7e018",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Noise Model : Measurement error\n",
    "\n",
    "\n",
    "def get_noise(pm,pg):\n",
    "    error_meas = pauli_error([('X',pm), ('I', 1 - pm)])\n",
    "    error_gate1 = depolarizing_error(pg,1)\n",
    "    error_gate2 = error_gate1.tensor(error_gate1)\n",
    "    \n",
    "    noise_model = NoiseModel()\n",
    "    noise_model.add_all_qubit_quantum_error(error_meas, \"measure\") # measurement error is applied to measurements\n",
    "    noise_model.add_all_qubit_quantum_error(error_gate1, [\"h\"]) # single qubit gate error is applied to H gates\n",
    "    noise_model.add_all_qubit_quantum_error(error_gate1, [\"p\"]) # single qubit gate error is applied to P gates\n",
    "    noise_model.add_all_qubit_quantum_error(error_gate2, [\"cx\"]) # two qubit gate error is applied to CX gates\n",
    "    \n",
    "    return noise_model\n",
    "\n",
    "\n",
    "noise_model = get_noise(0.01,0.01)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "45bf1f45-ab5f-4c3b-9673-4d932bc631a4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Without Noise\n",
    "\n",
    "\n",
    "job = execute(q_circuit, backend = backend, shots = 10000, seed_simulator = 345, seed_transpiler = 345)\n",
    "counts = job.result().get_counts(q_circuit)\n",
    "\n",
    "plot_histogram(counts)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "1e50ec24-467f-4080-ab45-2b668fff0090",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# With Noise\n",
    "\n",
    "\n",
    "Noisy_job = execute(q_circuit, backend = backend, shots = 10000, seed_simulator = 345, seed_transpiler = 345, noise_model = noise_model)\n",
    "Noisy_counts = Noisy_job.result().get_counts(q_circuit)\n",
    "\n",
    "plot_histogram(Noisy_counts)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "b5ae58c8-27a0-496e-b5f1-cac50e7d1c6e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Error mitigation\n",
    "meas_calibs, state_labels = complete_meas_cal(qr = 3, circlabel =' mcal')\n",
    "\n",
    "\n",
    "cal_results = execute(meas_calibs, backend = backend, shots = 10000, seed_simulator = 345, seed_transpiler = 345, noise_model=noise_model).result()\n",
    "\n",
    "meas_fitter = CompleteMeasFitter(cal_results, state_labels, circlabel='mcal')\n",
    "meas_filter = meas_fitter.filter\n",
    "\n",
    "mitigated_results = meas_filter.apply(Noisy_job.result())\n",
    "mitigated_counts = mitigated_results.get_counts(q_circuit)\n",
    "\n",
    "plot_histogram(mitigated_counts)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "f03d1167-8ba0-45f0-9519-4c667189897a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_histogram([counts, Noisy_counts, mitigated_counts], legend = ['Without Noisy','Noisy', 'Mitigated'])\n",
    "\n",
    "# As we can see from the plot, the noise will not affect the score a lot, as the plots are similar in nature"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "eb0d44c5-d78e-4c28-9d10-6531156a9a19",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Kernel Matrix Evaluation\n",
    "\n",
    "matrix_train = q_kernel.evaluate(x_vec = sample_train)\n",
    "matrix_test = q_kernel.evaluate(x_vec = sample_test, y_vec = sample_train)\n",
    "\n",
    "fig, axs = plt.subplots(1, 2, figsize=(10, 5))\n",
    "\n",
    "axs[0].imshow(np.asmatrix(matrix_train), interpolation = 'nearest', origin = 'upper', cmap = 'Blues')\n",
    "axs[0].set_title(\"training kernel matrix\")\n",
    "\n",
    "axs[1].imshow(np.asmatrix(matrix_test), interpolation = 'nearest', origin = 'upper', cmap = 'Reds')\n",
    "axs[1].set_title(\"testing kernel matrix\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "d447d28b-b967-4d01-9868-21804b028b79",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Precomputed kernel classification test score: 0.9666666666666667\n"
     ]
    }
   ],
   "source": [
    "qpc_svc = make_pipeline(SVC(kernel='precomputed', C = 100))   # QSVC precomputed\n",
    "qpc_svc.fit(matrix_train, label_train)\n",
    "qpc_score = qpc_svc.score(matrix_test, label_test)\n",
    "\n",
    "print(f'Precomputed kernel classification test score: {qpc_score}')   # best possible score we got after after trying many combinations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "e2adff8a-105f-4b56-84ec-dd090f963a74",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "' NOTE : On using the multiclass extension function = \" AllPairs \" on a previous version of Qiskit, we get score of 1!\\n                     Hope they introduce it back! '"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\" NOTE : On using the multiclass extension function = \" AllPairs \" on a previous version of Qiskit, we get score of 1!\n",
    "                     Hope they introduce it back! \"\"\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "ffe47843-aa21-4998-9015-1280bda119fc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\" This work of ours is a result of 'Qiskit Fall Fest Kolkata Chapter Hackathon', hosted by Mr. Ritajit Majumdar and Ms. Debasmita Bhowmik \\n from Indian Statistical Institute, in collaboration with IBM Quantum\""
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\" This work of ours is a result of 'Qiskit Fall Fest Kolkata Chapter Hackathon', hosted by Mr. Ritajit Majumdar and Ms. Debasmita Bhowmik \n",
    " from Indian Statistical Institute, in collaboration with IBM Quantum\"\"\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "fec22f64-ac25-469b-9da0-08c237f95349",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Authors\n",
    "# Vismay Joshi, National Institute Of Technology, Agartala\n",
    "# Tanjin Adnan Abir, Jahangirnagar University\n",
    "# Abhishek Rawat, TCG CREST\n",
    "# Suprabhat Sinha, D Y Patil International University\n",
    "# Rajat Lakhera, Sri Dev Suman Uttarakhand University"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "a7af26f1-8bca-4444-bfd0-eb65a950e085",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<h3>Version Information</h3><table><tr><th>Qiskit Software</th><th>Version</th></tr><tr><td><code>qiskit-terra</code></td><td>0.21.1</td></tr><tr><td><code>qiskit-aer</code></td><td>0.10.4</td></tr><tr><td><code>qiskit-ibmq-provider</code></td><td>0.19.2</td></tr><tr><td><code>qiskit</code></td><td>0.37.1</td></tr><tr><td><code>qiskit-nature</code></td><td>0.4.2</td></tr><tr><td><code>qiskit-finance</code></td><td>0.3.3</td></tr><tr><td><code>qiskit-optimization</code></td><td>0.4.0</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>3.8.13</td></tr><tr><td>Python compiler</td><td>GCC 10.3.0</td></tr><tr><td>Python build</td><td>default, Mar 25 2022 06:04:10</td></tr><tr><td>OS</td><td>Linux</td></tr><tr><td>CPUs</td><td>8</td></tr><tr><td>Memory (Gb)</td><td>31.211326599121094</td></tr><tr><td colspan='2'>Mon Oct 31 06:34:25 2022 UTC</td></tr></table>"
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      "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>"
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       "<IPython.core.display.HTML object>"
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   "source": [
    "import qiskit.tools.jupyter\n",
    "%qiskit_version_table\n",
    "%qiskit_copyright"
   ]
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 ],
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