{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "d563033c",
   "metadata": {},
   "source": [
    "# Import tools/models be used"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "fc9e6e26",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from math import pi\n",
    "from sklearn.gaussian_process.kernels import RBF\n",
    "from sklearn.kernel_ridge import KernelRidge\n",
    "import joblib                                         # to store model\n",
    "import os\n",
    "import errno\n",
    "from sklearn.model_selection import train_test_split  # this is very important"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "313e157e",
   "metadata": {},
   "source": [
    "# Read data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "bdc08ed0",
   "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>$M_{inv}$</th>\n",
       "      <th>$rapidity$</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>121.079631</td>\n",
       "      <td>-0.304619</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>196.219429</td>\n",
       "      <td>-0.401002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>478.422633</td>\n",
       "      <td>-1.010334</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>99.018601</td>\n",
       "      <td>0.097534</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>423.950224</td>\n",
       "      <td>2.223391</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9996</th>\n",
       "      <td>128.145991</td>\n",
       "      <td>0.246759</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9997</th>\n",
       "      <td>576.782956</td>\n",
       "      <td>-0.554320</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9998</th>\n",
       "      <td>35.437849</td>\n",
       "      <td>0.628855</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9999</th>\n",
       "      <td>189.229229</td>\n",
       "      <td>0.462469</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10000</th>\n",
       "      <td>443.127754</td>\n",
       "      <td>-1.858528</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>10001 rows × 2 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        $M_{inv}$  $rapidity$\n",
       "0      121.079631   -0.304619\n",
       "1      196.219429   -0.401002\n",
       "2      478.422633   -1.010334\n",
       "3       99.018601    0.097534\n",
       "4      423.950224    2.223391\n",
       "...           ...         ...\n",
       "9996   128.145991    0.246759\n",
       "9997   576.782956   -0.554320\n",
       "9998    35.437849    0.628855\n",
       "9999   189.229229    0.462469\n",
       "10000  443.127754   -1.858528\n",
       "\n",
       "[10001 rows x 2 columns]"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "directory = '../data/'\n",
    "filein    = 'checkLO.txt'\n",
    "file      = directory+filein\n",
    "data = np.genfromtxt(file)\n",
    "\n",
    "m        = data[:,0:1]\n",
    "rap      = data[:,1:2]\n",
    "x2       = data[:,2:3]\n",
    "\n",
    "m = np.concatenate((m),axis=0) \n",
    "rap = np.concatenate((rap),axis=0) \n",
    "x2 = np.concatenate((x2),axis=0) \n",
    "\n",
    "Data_ave = np.stack((m,rap),axis=-1)\n",
    "df = pd.DataFrame(Data_ave)\n",
    "df.columns = ['$M_{inv}$','$rapidity$']\n",
    "df"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0248b96b",
   "metadata": {},
   "source": [
    "# Split data into training and testing sub-sets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "de4cf784",
   "metadata": {},
   "outputs": [],
   "source": [
    "# for reproducibility\n",
    "#X_train, X_test, y_train, y_test = train_test_split(Data_ave, x2, test_size=0.4, train_size=0.6 , random_state=0)\n",
    "X_train, X_test, y_train, y_test = train_test_split(Data_ave, x2, test_size=0.4, train_size=0.6 )\n",
    "\n",
    "# rename data for convenience\n",
    "x2_train   = y_train\n",
    "m_train    = X_train[:,0:1]\n",
    "rap_train  = X_train[:,1:2]\n",
    "\n",
    "x2_test   = y_test\n",
    "m_test    = X_test[:,0:1]\n",
    "rap_test  = X_test[:,1:2]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2624e86c",
   "metadata": {},
   "source": [
    "# Now let's do some training"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "b8ef444a",
   "metadata": {},
   "outputs": [],
   "source": [
    "'''Training and prediction with Linear Model'''\n",
    "#-----------------------------------------------------------------------------#\n",
    "# Input:                                                                      #\n",
    "# X_train  := training data set                                               #\n",
    "# y_train  := targets for training                                            #\n",
    "# X_trest  := testing data set                                                #\n",
    "# y_test   := targets for testing                                             #\n",
    "# filename := name for training storage                                       #\n",
    "# model    := name of the mode we want to use                                 #\n",
    "# ----------------------------------------------------------------------------#\n",
    "# Output:                                                                     #  \n",
    "# loaded_model := trained model                                               #\n",
    "# R2 := quality of the training on the testing set                            #\n",
    "# y_fit := predicted targets                                                  #\n",
    "# y_est := estimated targets                                                  #\n",
    "# ----------------------------------------------------------------------------#\n",
    "# Output labelling :                                                          #\n",
    "# Training(X,y,filename)[0] -> R2                                             #\n",
    "# Training(X,y,filename)[1] -> y_new                                          #\n",
    "# ----------------------------------------------------------------------------#\n",
    "\n",
    "def training (X_train, y_train, X_test, y_test,filename,model):\n",
    "\n",
    "    # train \n",
    "    model.fit(X_train, y_train)\n",
    "\n",
    "    # save trained model\n",
    "    joblib.dump(model, filename)\n",
    "\n",
    "    # load model \n",
    "    loaded_model = joblib.load(filename)\n",
    "\n",
    "    # R^2\n",
    "    R2   = loaded_model.score(X_test, y_test)\n",
    "    \n",
    "    # predicted targets \n",
    "    y_fit = loaded_model.predict(X_test)\n",
    "    \n",
    "    # estimated targets\n",
    "    y_est = loaded_model.predict(X_train)\n",
    "\n",
    "    \n",
    "    return R2, y_fit,y_est#, model.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "id": "06b6bed9",
   "metadata": {},
   "outputs": [],
   "source": [
    "x2_train,x2_test;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "id": "ca19e5ea",
   "metadata": {},
   "outputs": [],
   "source": [
    "m_train,m_test;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "be16d388",
   "metadata": {},
   "outputs": [],
   "source": [
    "# name of the model for storage\n",
    "filename = 'storage/x2_LO_KernelRidge.sav'\n",
    "\n",
    "# train \n",
    "Training_machine_learning = training(X_train,y_train,X_test,y_test,filename,\n",
    "                            KernelRidge(alpha=2, kernel=RBF(), degree=3, coef0=1, kernel_params=None))\n",
    "\n",
    "# predict\n",
    "R2    = Training_machine_learning[0] \n",
    "y_fit = Training_machine_learning[1]\n",
    "y_est = Training_machine_learning[2]\n",
    "#coefs = Training_machine_learning[3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "id": "3b225d13",
   "metadata": {},
   "outputs": [],
   "source": [
    "y_est,y_train;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "id": "1cf2c418",
   "metadata": {},
   "outputs": [],
   "source": [
    "y_fit,y_test;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "49492be3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7500069049859194"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "R2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "id": "93efe92e",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "56253913",
   "metadata": {},
   "source": [
    "# Let's plot and see what we have"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "c97b86ca",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2)\n",
    "\n",
    "ax1.scatter(m, x2, label='data')\n",
    "ax1.scatter(m_test, y_fit,label='prediction')\n",
    "ax1.scatter(m_train, y_est,label='estimated')\n",
    "ax1.legend()\n",
    "\n",
    "ax1.set_xlabel(xlabel='m',fontsize=16)\n",
    "ax1.set_ylabel(ylabel=r'$x_2$',fontsize=16)\n",
    "\n",
    "ax2.scatter(rap, x2, label='data')\n",
    "ax2.scatter(rap_test, y_fit,label='prediction')\n",
    "ax2.scatter(rap_train, y_est,label='estimated')\n",
    "\n",
    "ax2.set_xlabel(xlabel='rapidity',fontsize=16)\n",
    "\n",
    "plt.savefig('Plots/x2_LO_KernelRidge_not_thinking_1.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "3a651a0f",
   "metadata": {},
   "outputs": [
    {
     "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": [
    "fig, (ax1) = plt.subplots(1, 1)\n",
    "\n",
    "ax1.scatter(m_test, (y_test-y_fit)/y_test*100,label='relative % diff test')\n",
    "ax1.scatter(m_train, (y_train-y_est)/y_train*100,label='relative % diff train')\n",
    "ax1.legend()\n",
    "\n",
    "ax1.set_xlabel(xlabel='m',fontsize=16)\n",
    "ax1.set_ylabel(ylabel=r'$\\% diff$',fontsize=16)\n",
    "\n",
    "plt.savefig('Plots/x2_LO_KernelRidge_not_thinking_2.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "97025949",
   "metadata": {},
   "source": [
    "# Let's give it another go"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "98a7e102",
   "metadata": {},
   "outputs": [],
   "source": [
    "# name of the model\n",
    "filename = 'storage/x2_LO_KernelRidge_smarter.sav'\n",
    "\n",
    "# training data \n",
    "\n",
    "kinematic = m*np.exp(-rap)\n",
    "\n",
    "kinematic_train = m_train*np.exp(-rap_train)\n",
    "kinematic_test = m_test*np.exp(-rap_test)\n",
    "\n",
    "X_train = kinematic_train\n",
    "X_test = kinematic_test\n",
    "\n",
    "# train \n",
    "Training_machine_learning = training(X_train,y_train,X_test,y_test,filename,\n",
    "                            KernelRidge(alpha=1, kernel=RBF(), degree=3, coef0=1, kernel_params=None))\n",
    "\n",
    "# predict\n",
    "R2    = Training_machine_learning[0] \n",
    "y_fit = Training_machine_learning[1]\n",
    "y_est = Training_machine_learning[2]\n",
    "#coefs = Training_machine_learning[3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "c51df2a6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.04021454255896151"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "R2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 154,
   "id": "6f0e9a15",
   "metadata": {},
   "outputs": [],
   "source": [
    "y_fit,y_test;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 155,
   "id": "2b8f9e74",
   "metadata": {},
   "outputs": [],
   "source": [
    "y_est,y_train;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 156,
   "id": "88d519bb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.00012255])"
      ]
     },
     "execution_count": 156,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "coefs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1b331f9a",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "416020bc",
   "metadata": {},
   "source": [
    "# Let's plot again"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "9e3aa712",
   "metadata": {},
   "outputs": [
    {
     "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": [
    "fig, (ax1) = plt.subplots(1)\n",
    "\n",
    "\n",
    "ax1.scatter(kinematic, x2, label='data')\n",
    "ax1.scatter(kinematic_test, y_fit,label='prediction')\n",
    "ax1.scatter(kinematic_train, y_est,label='estimated')\n",
    "\n",
    "ax1.legend()\n",
    "\n",
    "ax1.set_xlabel(xlabel='kin',fontsize=16)\n",
    "ax1.set_ylabel(ylabel=r'$x_2$',fontsize=16)\n",
    "\n",
    "plt.savefig('Plots/x2_LO_KernelRidge_smarter_1.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "ecdf81e8",
   "metadata": {},
   "outputs": [
    {
     "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": [
    "fig, (ax1) = plt.subplots(1)\n",
    "\n",
    "ax1.scatter(m_test, (y_test-y_fit)/y_test*100,label='relative % diff test')\n",
    "ax1.scatter(m_train, (y_train-y_est)/y_train*100,label='relative % diff train')\n",
    "ax1.legend()\n",
    "\n",
    "ax1.set_xlabel(xlabel='m',fontsize=16)\n",
    "ax1.set_ylabel(ylabel=r'$\\% diff$',fontsize=16)\n",
    "\n",
    "\n",
    "plt.savefig('Plots/x2_LO_KernelRidge_smarter_2.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ac29f023",
   "metadata": {},
   "source": [
    "# Let's give it another go 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "67604fae",
   "metadata": {},
   "outputs": [],
   "source": [
    "# name of the model\n",
    "filename = 'storage/x2_LO_KernelRidge_smarter2.sav'\n",
    "\n",
    "# training data \n",
    "\n",
    "kinematic = np.stack((np.exp(-rap) ,m),axis=-1)[0]\n",
    "kinematic_train = np.stack((np.exp(-rap_train),m_train),axis=-1)\n",
    "kinematic_test = np.stack((np.exp(-rap_test),m_test),axis=-1)\n",
    "n=kinematic.size\n",
    "\n",
    "# reshape to correct dimentions\n",
    "kinematic=np.reshape(kinematic,(-1,n))\n",
    "kinematic_train=np.reshape(kinematic_train,(-1,n))\n",
    "kinematic_test=np.reshape(kinematic_test,(-1,n))\n",
    "\n",
    "X_train = kinematic_train\n",
    "X_test = kinematic_test\n",
    "\n",
    "# train \n",
    "Training_machine_learning = training(X_train,y_train,X_test,y_test,filename,\n",
    "                                     KernelRidge(alpha=1, kernel=RBF(), degree=3, coef0=1, kernel_params=None))\n",
    "\n",
    "# predict\n",
    "R2    = Training_machine_learning[0] \n",
    "y_fit = Training_machine_learning[1]\n",
    "y_est = Training_machine_learning[2]\n",
    "#coefs = Training_machine_learning[3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "4a01ab5c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5545955683495599"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "R2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "id": "e8782b62",
   "metadata": {},
   "outputs": [
    {
     "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": [
    "fig, (ax1) = plt.subplots(1)\n",
    "\n",
    "\n",
    "ax1.scatter(m, x2, label='data')\n",
    "ax1.scatter(m_test, y_fit,label='prediction')\n",
    "ax1.scatter(m_train, y_est,label='estimated')\n",
    "\n",
    "ax1.legend()\n",
    "\n",
    "ax1.set_xlabel(xlabel='kin',fontsize=16)\n",
    "ax1.set_ylabel(ylabel=r'$x_2$',fontsize=16)\n",
    "\n",
    "plt.savefig('Plots/x2_LO_KernelRidge_smarter2_1.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "7968235f",
   "metadata": {},
   "outputs": [
    {
     "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": [
    "fig, (ax1) = plt.subplots(1)\n",
    "\n",
    "ax1.scatter(m_test, (y_test-y_fit)/y_test*100,label='relative % diff test')\n",
    "ax1.scatter(m_train, (y_train-y_est)/y_train*100,label='relative % diff train')\n",
    "ax1.legend()\n",
    "\n",
    "ax1.set_xlabel(xlabel='m',fontsize=16)\n",
    "ax1.set_ylabel(ylabel=r'$\\% diff$',fontsize=16)\n",
    "\n",
    "\n",
    "plt.savefig('Plots/x2_LO_KernelRidge_smarter2_2.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "40d2f421",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
