{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "source": [
    "<CENTER><img src=\"../../images/ATLASOD.gif\" style=\"width:50%\"></CENTER>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Machine Learning for $t\\bar{t}Z$ in ATLAS \n",
    "\n",
    "<CENTER><img src=\"images/feynman_diagrams/ttZ_feynman.png\" style=\"width:100%\"></CENTER>\n",
    "\n",
    "[mybinder.org/v2/gh/atlas-outreach-data-tools/notebooks-collection-opendata/no-root?filepath=13-TeV-examples/uproot_python/ttZ_ML_from_csv.ipynb](https://mybinder.org/v2/gh/atlas-outreach-data-tools/notebooks-collection-opendata/no-root?filepath=13-TeV-examples/uproot_python/ttZ_ML_from_csv.ipynb)\n",
    "\n",
    "Run it yourself: [bit.ly/3sJsuAl](https://bit.ly/3sJsuAl)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "source": [
    "This notebook uses ATLAS Open Data http://opendata.atlas.cern to show you the steps to implement Machine Learning in the $t\\bar{t}Z$ Opposite-sign dilepton analysis, loosely following the ATLAS published paper [Measurement of the $t\\bar{t}Z$ and $t\\bar{t}W$ cross sections in proton-proton collisions at $\\sqrt{s}$ = 13 TeV with the ATLAS detector](https://journals.aps.org/prd/pdf/10.1103/PhysRevD.99.072009).\n",
    "\n",
    "The whole notebook takes less than an hour to follow through.\n",
    "\n",
    "Notebooks are web applications that allow you to create and share documents that can contain for example:\n",
    "1. live code\n",
    "2. visualisations\n",
    "3. narrative text\n",
    "\n",
    "Notebooks are a perfect platform to develop Machine Learning for your work, since you'll need exactly those 3 things: code, visualisations and narrative text!\n",
    "\n",
    "We're interested in Machine Learning because we can design an algorithm to figure out for itself how to do various analyses, potentially saving us countless human-hours of design and analysis work.\n",
    "\n",
    "Machine Learning use within ATLAS includes: \n",
    "* particle tracking\n",
    "* particle identification\n",
    "* <span style=\"color:blue\">signal</span>/<span style=\"color:red\">background</span> classification\n",
    "* and more!\n",
    "\n",
    "This notebook will focus on signal/background classification.\n",
    "\n",
    "By the end of this notebook you will be able to:\n",
    "1. run machine learning algorithms to classify <span style=\"color:blue\">signal</span> and <span style=\"color:red\">background</span>\n",
    "2. know some things you can change to improve your machine learning algorithms\n",
    "\n",
    "Feynman diagram pictures are borrowed from our friends at https://www.particlezoo.net"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "source": [
    "## Introduction (from Section 1)\n",
    "\n",
    "Properties of the top quark have been explored by the\n",
    "Large Hadron Collider (LHC) and previous collider experiments in great detail, owing to the large center-of-mass energy and luminosity at the LHC.\n",
    "\n",
    "Measurements of top-quark pairs in association with a Z boson ($t\\bar{t}Z$) provide a direct probe of the\n",
    "weak couplings of the top quark. These couplings\n",
    "may be modified in the presence of physics beyond the\n",
    "Standard Model (BSM). Measurements of the $t\\bar{t}Z$ production cross sections, $\\sigma_{t\\bar{t}Z}$, can be used to\n",
    "set constraints on the weak couplings of the top quark. \n",
    "\n",
    "The production of $t\\bar{t}Z$ is often an important\n",
    "background in searches involving final states with multiple\n",
    "leptons and b-quarks. These processes also constitute an\n",
    "important background in measurements of the associated\n",
    "production of the Higgs boson with top quarks.\n",
    "\n",
    "This paper presents measurements of the $t\\bar{t}Z$ cross section using proton–proton (pp) collision data\n",
    "at a center-of-mass energy $\\sqrt{s}$ = 13 TeV.\n",
    "\n",
    "The final states of top-quark pairs produced in association with a\n",
    "Z boson contain up to 4 leptons. In this analysis, events with 2 opposite-sign\n",
    "(OS) leptons are considered. The dominant <span style=\"color:red\">backgrounds</span>\n",
    "in this channel are Z+jets and $t\\bar{t}$. \n",
    "\n",
    "(In this paper, lepton is used to denote electron or muon, and prompt lepton is used to denote a lepton produced in a Z boson decay, or in the decay of a τ-lepton which arises from a Z boson decay.)\n",
    "\n",
    "## Data and simulated samples (from Section 3)\n",
    "\n",
    "The data were collected with the ATLAS detector at a proton–proton (pp) collision\n",
    "energy of 13 TeV. \n",
    "\n",
    "Monte Carlo (MC) simulation samples are used to model the expected <span style=\"color:blue\">signal</span> and <span style=\"color:red\">background</span> distributions. All samples were processed through the\n",
    "same reconstruction software as used for the data. \n",
    "\n",
    "## Opposite-sign dilepton analysis (from Section 5A)\n",
    "\n",
    "The OS dilepton analysis targets the $t\\bar{t}Z$ process, where both top quarks decay hadronically and the Z boson\n",
    "decays to a pair of leptons (electrons or muons). Events are required to have exactly two opposite-sign leptons.\n",
    "\n",
    "The OS dilepton analysis is affected by large backgrounds from Z+jets or $t\\bar{t}$ production, both characterized\n",
    "by the presence of two leptons. \n",
    "\n",
    "## Contents: \n",
    "\n",
    "[Running a Jupyter notebook](#running) <br />\n",
    "[To setup first time](#setupfirsttime) <br />\n",
    "[To setup everytime](#setupeverytime) <br />\n",
    "[Plot data](#plot_data) <br />\n",
    "[Selections](#selections) <br />\n",
    "[Correlations](#correlations) <br />\n",
    "[Machine Learning setup](#ML_setup) <br />\n",
    "[Overtraining check](#overtraining_check) <br />\n",
    "[Performance](#ROC) <br />\n",
    "[ML_output separation](#ML_output_separation) <br />\n",
    "[ML output data distributions](#ML_output_data) <br />\n",
    "[Going further](#going_further) <br />\n",
    "[Conclusion](#conclusion) <br />\n",
    "\n",
    "<a id='running'></a>\n",
    "\n",
    "## Running a Jupyter notebook\n",
    "\n",
    "To run the whole Jupyter notebook, in the top menu click Cell -> Run All.\n",
    "\n",
    "To propagate a change you've made to a piece of code, click Cell -> Run All Below.\n",
    "\n",
    "You can also run a single code cell, by using the keyboard shortcut Shift+Enter.\n",
    "\n",
    "<a id='setupfirsttime'></a>\n",
    "\n",
    "## First time setup on your computer (no need on mybinder)\n",
    "This first cell only needs to be run the first time you open this notebook on your computer. \n",
    "\n",
    "If you close Jupyter and re-open on the same computer, you won't need to run this first cell again.\n",
    "\n",
    "If you open on mybinder, you don't need to run this cell."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "import yaml\n",
    "import subprocess\n",
    "import sys\n",
    "\n",
    "# Path to your binder/environment.yml file\n",
    "environment_file = \"../../binder/environment.yml\"\n",
    "\n",
    "# Packages you want to install\n",
    "required_packages = ['scikit-learn', 'pandas', 'uproot3', 'numpy', 'matplotlib']\n",
    "\n",
    "# Load the environment.yml file\n",
    "with open(environment_file, 'r') as file:\n",
    "    environment_data = yaml.safe_load(file)\n",
    "\n",
    "# Extract dependencies\n",
    "dependencies = environment_data.get('dependencies', [])\n",
    "\n",
    "# Create a list to hold the packages with versions\n",
    "install_packages = []\n",
    "\n",
    "# Find the versions for the required packages\n",
    "for dep in dependencies:\n",
    "    # Check if the dependency is a string (package name)\n",
    "    if isinstance(dep, str):\n",
    "        for package in required_packages:\n",
    "            if dep.startswith(package):\n",
    "                install_packages.append(dep)\n",
    "\n",
    "# Install packages using pip\n",
    "if install_packages:\n",
    "    print(f\"Installing packages: {install_packages}\")\n",
    "    subprocess.run([sys.executable, \"-m\", \"pip\", \"install\", \"--upgrade\", \"--user\"] + install_packages)\n",
    "else:\n",
    "    print(\"No matching packages found in environment.yml.\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "source": [
    "<a id='setupeverytime'></a>\n",
    "\n",
    "## To setup everytime\n",
    "\n",
    "Cell -> Run All Below\n",
    "\n",
    "to be done every time you re-open this notebook.\n",
    "\n",
    "We're going to be using a number of tools to help us:\n",
    "* [pandas](https://pandas.pydata.org/docs/user_guide/index.html): lets us store data as dataframes, a format widely used in Machine Learning\n",
    "* [numpy](https://numpy.org/doc/stable/): provides numerical calculations such as histogramming\n",
    "* [matplotlib](https://matplotlib.org/stable/contents.html): common tool for making plots, figures, images, visualisations\n",
    "\n",
    "Let's read the csv data into a [pandas DataFrame (df)](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.html) and then display it like a table."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
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       "      <th>type</th>\n",
       "      <th>Channel</th>\n",
       "      <th>NJets</th>\n",
       "      <th>MET</th>\n",
       "      <th>Mll</th>\n",
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       "      <td>49.90</td>\n",
       "      <td>0.45</td>\n",
       "      <td>1.34</td>\n",
       "      <td>77.73</td>\n",
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       "      <td>0</td>\n",
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      "text/plain": [
       "        type  Channel  NJets     MET    Mll  LepDeltaPhi  LepDeltaR  SumLepPt  \\\n",
       "0          0        0      3    6.34  91.79         1.84       2.17    130.34   \n",
       "1          0        1      4   37.98  91.45         2.83       2.94     40.73   \n",
       "2          0        0      3   23.58  84.53         1.69       1.71     75.59   \n",
       "3          0        1      3   29.51  91.30         1.87       1.90     87.42   \n",
       "4          0        0      3   14.46  88.91         1.74       1.75    102.94   \n",
       "...      ...      ...    ...     ...    ...          ...        ...       ...   \n",
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       "344576     4        0      6  120.98  16.91         0.38       0.42     79.02   \n",
       "344577     4        2      3   73.51  60.19         2.28       2.51     32.60   \n",
       "344578     4        2      6  183.89  46.65         0.25       1.76     49.74   \n",
       "\n",
       "        NBJets   weight  \n",
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       "1            0  1.00000  \n",
       "2            0  1.00000  \n",
       "3            0  1.00000  \n",
       "4            0  1.00000  \n",
       "...        ...      ...  \n",
       "344574       1  0.90914  \n",
       "344575       0  0.45335  \n",
       "344576       0  0.85475  \n",
       "344577       2  0.44073  \n",
       "344578       0  0.08096  \n",
       "\n",
       "[344579 rows x 10 columns]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd # to store data as dataframes\n",
    "import numpy as np # for numerical calculations such as histogramming\n",
    "import matplotlib.pyplot as plt # for plotting\n",
    "\n",
    "csv_path = \"https://gitlab.cern.ch/atlas-outreach-data-tools/histogram-analyser/-/raw/678fbd40c9d2886b612042ea28f7a0369574499a/HistogramAnalyser/13TeV_ttZ.csv\"\n",
    "df_all = pd.read_csv(csv_path) # read all data into pandas DataFrame\n",
    "df_all # print as table"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "source": [
    "It'd be better to visualise this DataFrame in graphs, rather than a table. \n",
    "\n",
    "Let's start by defining a [dictionary](https://docs.python.org/3/tutorial/datastructures.html#dictionaries) to distinguish between the different processes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "outputs": [],
   "source": [
    "samples_SR = {\n",
    "\n",
    "    0: { # type==0 is measured 'Data'\n",
    "        'name': 'Data'\n",
    "    },\n",
    "    \n",
    "    4: { # type==4 is 'Other' small backgrounds\n",
    "        'name': 'Other',\n",
    "        'color' : 'green'                                                                                                                                                                  \n",
    "    },  \n",
    "    \n",
    "    3: { # type==3 is 'Z' background\n",
    "        'name': 'Z', \n",
    "        'color' : 'red'\n",
    "    }, \n",
    "    \n",
    "    2: { # type==2 is 'tt' (top+antitop) background\n",
    "        'name': 'tt',\n",
    "        'color' : 'lightgrey'\n",
    "    },  \n",
    "    \n",
    "    1: { # type==1 is 'ttZ' (top+antitop+Z) signal\n",
    "        'name': 'ttZ',\n",
    "        'color' : 'blue'\n",
    "    },                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         \n",
    "    \n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "source": [
    "<a id='plot_data'></a>\n",
    "\n",
    "## Plot data\n",
    "\n",
    "We need to define a function to plot any variable, to see the distributions of the simulated and measured data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "outputs": [],
   "source": [
    "def plot_data(data, x_variable, samples_to_plot=samples_SR):\n",
    "     \n",
    "    min_x = min(data[x_variable]) # minimum x-value for this variable\n",
    "    max_x = max(data[x_variable]) # maximum x-value for this variable\n",
    "    step_x = (max_x-min_x)/10 # step size in x-value for this variable\n",
    "    \n",
    "    bin_edges = np.arange(start=min_x, # The interval includes this value\n",
    "                          stop=max_x+step_x, # The interval doesn't include this value\n",
    "                          step=step_x ) # Spacing between values\n",
    "    bin_centres = (bin_edges[:-1] + bin_edges[1:]) / 2\n",
    "\n",
    "    mc_x = [] # define list to hold the MC x values\n",
    "    mc_weights = [] # define list to hold the MC weights\n",
    "    mc_colors = [] # define list to hold the MC bar colors\n",
    "    mc_labels = [] # define list to hold the MC legend labels\n",
    "\n",
    "    mc_stat_err_squared = np.zeros(len(bin_centres)) # define array to hold the MC statistical uncertainties\n",
    "    for s in samples_to_plot: # loop over samples\n",
    "        if s!=0: # if not data\n",
    "            mc_x.append(data[data['type']==s][x_variable])\n",
    "            mc_weights.append(data[data['type']==s]['weight'])\n",
    "            mc_colors.append( samples_to_plot[s]['color'] ) # append to the list of Monte Carlo bar colors\n",
    "            mc_labels.append( samples_to_plot[s]['name'] ) # append to the list of Monte Carlo legend labels \n",
    "            weights_squared,_ = np.histogram(data[data['type']==s][x_variable], bins=bin_edges,\n",
    "                                             weights=data[data['type']==s]['weight']**2) # square the weights\n",
    "            mc_stat_err_squared = np.add(mc_stat_err_squared,weights_squared) # add weights_squared for s \n",
    "\n",
    "    # plot the Monte Carlo bars\n",
    "    mc_heights = plt.hist(mc_x, bins=bin_edges, \n",
    "                          weights=mc_weights, stacked=True, \n",
    "                          color=mc_colors, label=mc_labels )\n",
    "\n",
    "    mc_x_tot = mc_heights[0][-1] # stacked background MC y-axis value\n",
    "    mc_x_err = np.sqrt( mc_stat_err_squared ) # statistical error on the MC bars\n",
    "\n",
    "    # histogram the data\n",
    "    data_x,_ = np.histogram(data[data['type']==0][x_variable], bins=bin_edges ) \n",
    "\n",
    "    # statistical error on the data\n",
    "    data_x_errors = np.sqrt(data_x)\n",
    "\n",
    "    # plot the data points\n",
    "    plt.errorbar(x=bin_centres, \n",
    "                 y=data_x, \n",
    "                 yerr=data_x_errors,\n",
    "                 fmt='ko', # 'k' means black and 'o' is for circles \n",
    "                 label='Data')\n",
    "\n",
    "    # plot the statistical uncertainty\n",
    "    plt.bar(bin_centres, # x\n",
    "            2*mc_x_err, # heights\n",
    "            alpha=0.5, # half transparency\n",
    "            bottom=mc_x_tot-mc_x_err, color='none', \n",
    "            hatch=\"////\", width=step_x, label='Unc.' )\n",
    "\n",
    "    # x-axis label\n",
    "    plt.xlabel(x_variable)\n",
    "\n",
    "    # y-axis label\n",
    "    plt.ylabel('Events')\n",
    "\n",
    "    # draw the legend\n",
    "    plt.legend() # number of columns"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "source": [
    "Let's take a look at the variable `Mll`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_data(df_all, x_variable='Mll')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "source": [
    "We can't see <span style=\"color:blue\">signal</span> anywhere..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "<a id='selections'></a>\n",
    "\n",
    "## Selections\n",
    "\n",
    "We make selections to focus on <span style=\"color:blue\">signal</span>, then print the selected DataFrame's rows.\n",
    "\n",
    "<CENTER><img src=\"images/selections_meme.jpeg\" style=\"width:80%\"></CENTER>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "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>type</th>\n",
       "      <th>Channel</th>\n",
       "      <th>NJets</th>\n",
       "      <th>MET</th>\n",
       "      <th>Mll</th>\n",
       "      <th>LepDeltaPhi</th>\n",
       "      <th>LepDeltaR</th>\n",
       "      <th>SumLepPt</th>\n",
       "      <th>NBJets</th>\n",
       "      <th>weight</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>6</td>\n",
       "      <td>25.80</td>\n",
       "      <td>91.90</td>\n",
       "      <td>2.35</td>\n",
       "      <td>2.39</td>\n",
       "      <td>37.51</td>\n",
       "      <td>1</td>\n",
       "      <td>1.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>12.21</td>\n",
       "      <td>92.20</td>\n",
       "      <td>2.94</td>\n",
       "      <td>2.94</td>\n",
       "      <td>37.22</td>\n",
       "      <td>1</td>\n",
       "      <td>1.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>25.10</td>\n",
       "      <td>88.14</td>\n",
       "      <td>2.15</td>\n",
       "      <td>2.59</td>\n",
       "      <td>46.19</td>\n",
       "      <td>2</td>\n",
       "      <td>1.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>124</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>7</td>\n",
       "      <td>49.99</td>\n",
       "      <td>92.49</td>\n",
       "      <td>0.57</td>\n",
       "      <td>1.50</td>\n",
       "      <td>145.59</td>\n",
       "      <td>1</td>\n",
       "      <td>1.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>182</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>42.82</td>\n",
       "      <td>91.80</td>\n",
       "      <td>2.84</td>\n",
       "      <td>2.84</td>\n",
       "      <td>14.16</td>\n",
       "      <td>2</td>\n",
       "      <td>1.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>344416</th>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>31.92</td>\n",
       "      <td>90.50</td>\n",
       "      <td>1.27</td>\n",
       "      <td>2.26</td>\n",
       "      <td>62.63</td>\n",
       "      <td>1</td>\n",
       "      <td>0.22986</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>344448</th>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>7</td>\n",
       "      <td>59.72</td>\n",
       "      <td>94.34</td>\n",
       "      <td>2.63</td>\n",
       "      <td>2.76</td>\n",
       "      <td>73.35</td>\n",
       "      <td>1</td>\n",
       "      <td>0.25186</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>344478</th>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>41.16</td>\n",
       "      <td>92.18</td>\n",
       "      <td>1.40</td>\n",
       "      <td>1.53</td>\n",
       "      <td>115.42</td>\n",
       "      <td>1</td>\n",
       "      <td>0.22737</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>344552</th>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>7</td>\n",
       "      <td>14.24</td>\n",
       "      <td>89.51</td>\n",
       "      <td>1.61</td>\n",
       "      <td>1.69</td>\n",
       "      <td>93.50</td>\n",
       "      <td>1</td>\n",
       "      <td>0.36640</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>344562</th>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>8</td>\n",
       "      <td>53.60</td>\n",
       "      <td>83.31</td>\n",
       "      <td>1.88</td>\n",
       "      <td>2.58</td>\n",
       "      <td>53.33</td>\n",
       "      <td>1</td>\n",
       "      <td>0.55433</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>13600 rows × 10 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        type  Channel  NJets    MET    Mll  LepDeltaPhi  LepDeltaR  SumLepPt  \\\n",
       "7          0        1      6  25.80  91.90         2.35       2.39     37.51   \n",
       "40         0        1      5  12.21  92.20         2.94       2.94     37.22   \n",
       "44         0        1      5  25.10  88.14         2.15       2.59     46.19   \n",
       "124        0        0      7  49.99  92.49         0.57       1.50    145.59   \n",
       "182        0        0      5  42.82  91.80         2.84       2.84     14.16   \n",
       "...      ...      ...    ...    ...    ...          ...        ...       ...   \n",
       "344416     4        0      5  31.92  90.50         1.27       2.26     62.63   \n",
       "344448     4        0      7  59.72  94.34         2.63       2.76     73.35   \n",
       "344478     4        0      5  41.16  92.18         1.40       1.53    115.42   \n",
       "344552     4        1      7  14.24  89.51         1.61       1.69     93.50   \n",
       "344562     4        1      8  53.60  83.31         1.88       2.58     53.33   \n",
       "\n",
       "        NBJets   weight  \n",
       "7            1  1.00000  \n",
       "40           1  1.00000  \n",
       "44           2  1.00000  \n",
       "124          1  1.00000  \n",
       "182          2  1.00000  \n",
       "...        ...      ...  \n",
       "344416       1  0.22986  \n",
       "344448       1  0.25186  \n",
       "344478       1  0.22737  \n",
       "344552       1  0.36640  \n",
       "344562       1  0.55433  \n",
       "\n",
       "[13600 rows x 10 columns]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_selected = df_all[(df_all['Channel']!=2) & # select events that aren't in the Channel 'emu'\n",
    "                     (df_all['NJets']>=5) & # at least 5 jets\n",
    "                     (df_all['NBJets']>=1) & # at least 1 b-tagged jets\n",
    "                     (df_all['Mll']>81.12) & # Z-boson mass - 10 GeV\n",
    "                     (df_all['Mll']<101.12) # Z-boson mass + 10 GeV\n",
    "                    ]\n",
    "df_selected # print as table"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "source": [
    "Now if we take another look at `Mll`, we can see the <span style=\"color:blue\">signal</span> a bit easier."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_data(df_selected, x_variable='Mll')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "source": [
    "We can also look at other variables."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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VOvddUVEBnU5nsJiKrYWh2/dBRETNi0qlgoODA5ydnaFWq3HvvfeiTZs2AAAPDw+o1WqoVCoLV2lcVh2Ili9fDnt7e8yaNavWdo1GAw8PD4N19vb2cHd3h0ajkfp4enoa9Kl+Xd2nNkuXLoVKpZIWHx+fphzKHTEMERERWZbVXmWWmZmJNWvWICsryyIPE12wYAFiY2Ol1zqdzmShqF+/2q7YSgAQByAecXGvIS7u9vYMAI8BCMChQzuhVN4eVEoBhAM4ASDF6PsQxXodGhERkU2w2hGiAwcOoKioCL6+vrC3t4e9vT0uXryIl19+GR06dAAAqNVqFBUVGbzv5s2bKC4uhlqtlvoUFhYa9Kl+Xd2nNo6OjlAqlQaL+fwvqAC13QPof0EF2AngzmEIuHMYatw+iIioOXNwcIBerzd4DcBgXXNitYFo0qRJOHbsGLKzs6XF29sbc+fOxa5duwAAQUFBKCkpQWZmpvS+PXv2oKqqCv369ZP6pKamorKyUuqTkpKCLl26oHXr1uY9qHqxhTBUWo/jICIiW9ahQwekp6fjwoUL+PPPP9G+fXsIgoBt27bhjz/+qHGLG1tn0VNmZWVlOHfunPQ6NzcX2dnZcHd3h6+vrzSBq1qLFi2gVqvRpUsXAEC3bt0QHh6O6dOnIykpCZWVlYiOjsb48eOlS/QnTJiAN954A5GRkZg3bx5OnDiBNWvW4N133zXfgd7F8eO3bs71/vvvY926dYiOjsbzz4/CrVDz937HMWPGDHTs2BFJSavg4nLRoP3atWuYOXMmzp07h40bNyIw0LnGNoy1D+DfTT9wIiKyWq+88gqmTJkCf39//PXXX8jNzcUbb7yB+fPn47nnnsPkyZOxadMmS5dpNBYNREePHpXuawBAmrMzZcqUev+Qk5OTER0djSFDhsDOzg5jxoxBYmKi1K5SqfDTTz8hKioKDz74IO655x4sWrTIai65r2YYVJ6v0W4YVJLg4uJi0F4zDAWadB9ERNQ01n5Pt86dOyMtLc1gXVxcHOJqTjhtFiwaiAYNGgSxAbNzL1y4UGOdu7s7Nm/efMf3PfDAAzhw4EBDyzMbWwtD1nRTSyIiImOw2jlEcmJrYai2fRAREdkyBiIrwDBERERkWQxEVoBhiIiIyLIYiKwQwxAREZF5MRBZGYYhIiIi82MgsiK2Eobef//9Jh4pERGRdWEgshK2FIbWrVvXxKMlIiKyLgxEVsDWwlB0dHQTj5iIiMi6CGJD7owoYzqdDiqVClqt1ugPej1x4sTdO1kZa7/DKhGRNSgvL0dubi78/PzQsmVLS5fTbN3p51zf72+OEBEREVmAIJh3aahBgwYhJiZGer1v3z4IgoCSkpIa6+pa/v54Lmtn0Ud3EBERke0KDg7G5cuXa6z//vvvMXPmTLz44osWqKpxOEJEREREBqZOnYr9+/djzZo1NUZ7WrduDUEQMHXqVDg4OECtVhssV69exSuvvIKFCxfi6aeftvCR1B9HiIiIiMjAmjVrcObMGQQEBODNN9+EXq/H4cOHMXbsWOTk5ECpVMLJyanG+0pKSvDkk09i0KBBiI+Pt0DljcdARERERAZUKhUcHBzg7OwMtVoNAGjTpg0AwMPDA25ubjXeU1VVhQkTJsDe3h7JyckQGjNxyYIYiIiIiKjJFi5ciLS0NGRkZMDV1dXS5TQYAxERERE1yRdffIG3334bP/74Izp16mTpchqFk6qJiIioBgcHB+j1eoPXAAzWAUB2djYiIyOxbNkyhIWFmbVGY+IIEREREdXQoUMHpKen48KFC2jVqhXat28PQRCwbds2DB8+HE5OTigvL8eoUaMwaNAgTJw4ERqNxmAbCoUCbdu2tdARNAxHiIiIiCxAFM27NNQrr7wChUIBf39/tG3bFpWVlXjjjTcwf/58eHp6Ijo6Gj/++CMuXryI7du3w8vLq8by0EMPGf8HZyJ8dEc98dEdhvjoDiKiu+OjO8yDj+4gIiIiMgIGIiIiIpI9BiIiIiKSPQYiIiIikj0GIiIiIpI9BiIiIiKSPQYiIiIikj0GIiIiIpI9BiIiIiIbcO3aNQiCAEEQcO3aNUuX0+wwEBEREZHsMRARERHZgL8/ZT41NbXGU+eNberUqdKIVIsWLeDp6YnHHnsMH330Eaqqquq9nU2bNsHNzc10hRoJAxEREZGV27JlC/z9/aXXw4cPR4cOHbBlyxaT7jc8PByXL1/GhQsXsGPHDgwePBizZ8/G448/jps3b5p03+bGQERERGTFtmzZgrFjx6KgoMBgfUFBAcaOHWvSUOTo6Ai1Wo17770XvXv3xsKFC/Hdd99hx44d2LRpEwBg1apVCAwMhIuLC3x8fPDiiy+irKwMALBv3z4899xz0Gq10mjT66+/DgD49NNP0adPH7i6ukKtVmPChAkoKioy2bHcDQMRERGRldLr9Zg9ezZEUazRVr0uJibG5KfP/u7RRx9Fjx49pCBmZ2eHxMREnDx5Ep988gn27NmDf/7znwCA4OBgrF69GkqlEpcvX8bly5fxyiuvAAAqKysRHx+PX3/9FVu3bsWFCxcwdepUsx3H7SwaiFJTUzFy5Eh4e3tDEARs3bpVaqusrMS8efOk1Ont7Y3Jkyfj999/N9hGcXExIiIioFQq4ebmhsjISCmZVjt27Bj69++Pli1bwsfHBytWrDDH4RERETXJgQMHcOnSpTrbRVFEfn4+Dhw4YMaqgK5du+LChQsAbgWywYMHo0OHDnj00UeRkJCAr776CgDg4OAAlUoFQRCgVquhVqvRqlUrAMC0adMwbNgw3HfffXj44YeRmJiIHTt21PgONxeLBqJr166hR48eWL9+fY2269evIysrC3FxccjKysKWLVuQk5ODJ554wqBfREQETp48iZSUFGzbtg2pqamYMWOG1K7T6TB06FC0b98emZmZWLlyJV5//XVs3LjR5MdHRETUFJcvXzZqP2MRRRGCIAAAfv75ZwwZMgT33nsvXF1dMWnSJFy5cgXXr1+/4zYyMzMxcuRI+Pr6wtXVFQMHDgQA5OXlmbz+2thbZK//NWzYMAwbNqzWNpVKhZSUFIN169atQ9++fZGXlwdfX1+cPn0aO3fuxJEjR9CnTx8AwNq1azF8+HC8/fbb8Pb2RnJyMm7cuIGPPvoIDg4O6N69O7Kzs7Fq1SqD4HS7iooKVFRUSK91Op0RjpiIiKj+vLy8jNrPWE6fPg0/Pz9cuHABjz/+OF544QW89dZbcHd3x8GDBxEZGYkbN27A2dm51vdfu3YNYWFhCAsLQ3JyMtq2bYu8vDyEhYXhxo0bZj2WajY1h6h6Ulb15XtpaWlwc3OTwhAAhIaGws7ODunp6VKfAQMGwMHBQeoTFhaGnJwcXL16tc59LV26FCqVSlp8fHxMc1BERER16N+/P9q1ayeNxtxOEAT4+Pigf//+Zqtpz549OH78OMaMGYPMzExUVVXhnXfewcMPP4zOnTvXmNri4OBQY47Tf/7zH1y5cgXLli1D//790bVrV4tOqAZsKBCVl5dj3rx5ePbZZ6FUKgEAGo0GHh4eBv3s7e3h7u4OjUYj9fH09DToU/26uk9tFixYAK1WKy35+fnGPBwiIqK7UigUWLNmDQDUCEXVr1evXg2FQmGS/VdUVECj0aCgoABZWVlYsmQJnnzySTz++OOYPHkyOnbsiMrKSqxduxa//fYbPv30UyQlJRlso0OHDigrK8Pu3bvx559/4vr16/D19YWDg4P0vu+//x7x8fEmOYb6solAVFlZiXHjxkEURWzYsMEs+3R0dIRSqTRYiIiIzG306NH45ptv4O3tbbC+Xbt2+OabbzB69GiT7Xvnzp3w8vJChw4dEB4ejr179yIxMRHfffcdFAoFevTogVWrVmH58uUICAhAcnIyli5darCN4OBgzJw5E8888wzatm2LFStWoG3btti0aRO+/vpr+Pv7Y9myZXj77bdNdhz1YdE5RPVRHYYuXryIPXv2GAQTtVpdY4jt5s2bKC4uhlqtlvoUFhYa9Kl+Xd2HiIjImo0ePRqhoaFQqVQAgO3bt2Po0KEmGxkCbt1huvpeQ3cyZ84czJkzx2DdpEmTDF5v2LChxoDGs88+i2effdZgXW23FzAXqx4hqg5DZ8+exc8//4w2bdoYtAcFBaGkpASZmZnSuj179qCqqgr9+vWT+qSmpqKyslLqk5KSgi5duqB169bmORAiIqImUiqVEEURoihi2LBhJg1DcmTRQFRWVobs7GxkZ2cDAHJzc5GdnY28vDxUVlZi7NixOHr0KJKTk6HX66HRaKDRaKQZ6N26dUN4eDimT5+OjIwM/PLLL4iOjsb48eOlocUJEybAwcEBkZGROHnyJL788kusWbMGsbGxljpsIiIisjIWPWV29OhRDB48WHpdHVKmTJmC119/Hd9//z0AoGfPngbv27t3LwYNGgQASE5ORnR0NIYMGQI7OzuMGTMGiYmJUl+VSoWffvoJUVFRePDBB3HPPfdg0aJFd7zknoiIiOTFooFo0KBBdzxfWJ9zie7u7ti8efMd+zzwwANmv4snERER2Q6rnkNEREREZA4MRERERCR7DEREREQke1Z/HyI5CAgMtHQJDWfBe0UQEREZG0eIiIiISPYYiIiIiEj2GIiIiIgsICQkBKWlpTXWl5aWIiQkBCqVChkZGbW+NyEhAYIgICEhodb2jIwMqFSqOvdRH4MGDUJMTEyN9Zs2bYKbm1ujtmnNGIiIiIgsYOfOnXB1dTVYV1paivDwcJw4cQIpKSno27dvjfclJCQgLi4O8fHxeO2112q0Z2Rk4LHHHkNAQECt+6DaMRARERFZQHMIQ1OnTsWoUaPw9ttvw8vLC23atEFUVJTB80MrKiowb948+Pj4wNHRER07dsSHH35o0roag1eZERERWZgthqFqe/fuhZeXF/bu3Ytz587hmWeeQc+ePTF9+nQAwOTJk5GWlobExET06NEDubm5+PPPP81SW0MwEBEREVmQOcJQaWmpyQJS69atsW7dOigUCnTt2hUjRozA7t27MX36dJw5cwZfffUVUlJSEBoaCgC47777TFJHU/GUGRERkYWYKwyFh4eb7Bi6d+8OhUIhvfby8kJRUREAIDs7GwqFAgMHDjTZ/o2FgYiIiMgCzBmGTpw40eD6lEoltFptjfUlJSVQqVTS6xYtWhi0C4KAqqoqAICTk1OD92spDEREREQWYM4wlJKS0uD6unTpgqysrBrrs7Ky0Llz53ptIzAwEFVVVdi/f3+D929uDEREREQWYM4wVNs+7uaFF17AmTNnMGvWLBw7dgw5OTlYtWoVPv/8c7z88sv12kaHDh0wZcoUTJs2DVu3bkVubi727duHr776SurTtWtXfPvttw2uz9g4qZqIiMgCajsdVe21116rNQhV69u37x3f7+rqil9++aVJ9d13331ITU3Fq6++itDQUNy4cQNdu3bF119/3aA5SRs2bMDChQvx4osv4sqVK/D19cXChQul9pycnDsei7kIosindNaHTqeDSqWCVquFUqk07sYFwbjbMwf+2hAR3VV5eTlyc3Ph5+eHli1bWrqcZutOP+f6fn/zlBkRERHJHgMRERERyR4DEREREckeAxERERHJHgMRERGRifH6JdMyxs+XgYiIiMhEqu/ifP36dQtX0rxV/3xvv2t2Q/A+RERERCaiUCjg5uYmPdvL2dkZgi3easVKiaKI69evo6ioCG5ubgbPVGsoBiIiIiITUqvVACCFIjI+Nzc36efcWAxEREREJiQIAry8vODh4YHKykpLl9PstGjRokkjQ9UYiIiIiMxAoVAY5YubTIOTqomIiEj2GIiIiIhI9hiIiIiISPYYiIiIiEj2GIiIiIhI9hiIiIiISPYsGohSU1MxcuRIeHt7QxAEbN261aBdFEUsWrQIXl5ecHJyQmhoKM6ePWvQp7i4GBEREVAqlXBzc0NkZCTKysoM+hw7dgz9+/dHy5Yt4ePjgxUrVpj60IiIiMiGWDQQXbt2DT169MD69etrbV+xYgUSExORlJSE9PR0uLi4ICwsDOXl5VKfiIgInDx5EikpKdi2bRtSU1MxY8YMqV2n02Ho0KFo3749MjMzsXLlSrz++uvYuHGjyY+PiIiIbIRoJQCI3377rfS6qqpKVKvV4sqVK6V1JSUloqOjo/j555+LoiiKp06dEgGIR44ckfrs2LFDFARBLCgoEEVRFN977z2xdevWYkVFhdRn3rx5YpcuXe5YT3l5uajVaqUlPz9fBCBqtVpjHK4hwPYWIiIiG6DVauv1/W21c4hyc3Oh0WgQGhoqrVOpVOjXrx/S0tIAAGlpaXBzc0OfPn2kPqGhobCzs0N6errUZ8CAAXBwcJD6hIWFIScnB1evXq1z/0uXLoVKpZIWHx8fYx8iERERWQmrDUQajQYA4OnpabDe09NTatNoNPDw8DBot7e3h7u7u0Gf2rbx933UZsGCBdBqtdKSn5/ftAMiIiIiq8VnmdXB0dERjo6Oli6DiIiIzMBqR4jUajUAoLCw0GB9YWGh1KZWq1FUVGTQfvPmTRQXFxv0qW0bf98HERERyZvVBiI/Pz+o1Wrs3r1bWqfT6ZCeno6goCAAQFBQEEpKSpCZmSn12bNnD6qqqtCvXz+pT2pqKiorK6U+KSkp6NKlC1q3bm2moyEiIiJrZtFAVFZWhuzsbGRnZwO4NZE6OzsbeXl5EAQBMTExSEhIwPfff4/jx49j8uTJ8Pb2xqhRowAA3bp1Q3h4OKZPn46MjAz88ssviI6Oxvjx4+Ht7Q0AmDBhAhwcHBAZGYmTJ0/iyy+/xJo1axAbG2uhoyYiIiKrY6ar3mq1d+9eEUCNZcqUKaIo3rr0Pi4uTvT09BQdHR3FIUOGiDk5OQbbuHLlivjss8+KrVq1EpVKpfjcc8+JpaWlBn1+/fVX8ZFHHhEdHR3Fe++9V1y2bFmDa63vZXuNYulL6HnZPRERNVP1/f4WRFEULZjHbIZOp4NKpYJWq4VSqTTuxgXBuNszB/7aEBGRDajv97fVziEiIiIiMhcGIiIiIpI9BiIiIiKSPQYiIiIikj0GIiIiIpI9BiIiIiKSPQYiIiIikj0GIiIiIpI9owQivV6P7OxsXL161RibIyIiIjKrRgWimJgYfPjhhwBuhaGBAweid+/e8PHxwb59+4xZHxEREZHJNSoQffPNN+jRowcA4IcffkBubi7+85//YM6cOXj11VeNWiARERGRqTUqEP35559Qq9UAgO3bt+Ppp59G586dMW3aNBw/ftyoBRIRERGZWqMCkaenJ06dOgW9Xo+dO3fiscceAwBcv34dCoXCqAUSERERmZp9Y9703HPPYdy4cfDy8oIgCAgNDQUApKeno2vXrkYtkIiIiMjUGhWIXn/9dQQEBCA/Px9PP/00HB0dAQAKhQLz5883aoFEREREptaoQPT//t//wzPPPCMFoWrPPvssvvjiC6MURkRERGQugiiKYkPfpFAocPnyZXh4eBisv3LlCjw8PKDX641WoLXQ6XRQqVTQarVQKpXG3bggGHd75tDwXxsiIiKzq+/3d6MmVYuiCKGWL/FLly5BpVI1ZpNEREREFtOgU2a9evWCIAgQBAFDhgyBvf3/3q7X65Gbm4vw8HCjF0lERERkSg0KRKNGjQIAZGdnIywsDK1atZLaHBwc0KFDB4wZM8aoBRIRERGZWoMC0eLFiwEAHTp0wDPPPIOWLVuapCgiIiIic2rUVWZTpkwBANy4cQNFRUWoqqoyaPf19W16ZURERERm0qhAdPbsWUybNg2HDh0yWF892bo5XmVGREREzVejAtHUqVNhb2+Pbdu2SXerJiIiIrJVjQpE2dnZyMzM5GM6iIiIqFlo1H2I/P398eeffxq7FiIiIiKLaFQgWr58Of75z39i3759uHLlCnQ6ncFCREREZEsa9egOO7tbOer2uUPNeVI1H91xGz66g4iIbEB9v78bNYdo7969jS6MiIiIyNo0KhANHDjQ2HUQERERWUyj5hABwIEDBzBx4kQEBwejoKAAAPDpp5/i4MGDRiuOiIiIyBwaFYj+7//+D2FhYXByckJWVhYqKioAAFqtFkuWLDFqgURERESm1qhAlJCQgKSkJHzwwQdo0aKFtD4kJARZWVlGK46IiIjIHBoViHJycjBgwIAa61UqFUpKSppak0Sv1yMuLg5+fn5wcnLC/fffj/j4ePz9wjhRFLFo0SJ4eXnByckJoaGhOHv2rMF2iouLERERAaVSCTc3N0RGRqKsrMxodRIREZFta1QgUqvVOHfuXI31Bw8exH333dfkoqotX74cGzZswLp163D69GksX74cK1aswNq1a6U+K1asQGJiIpKSkpCeng4XFxeEhYWhvLxc6hMREYGTJ08iJSUF27ZtQ2pqKmbMmGG0OomIiMjGiY2wZMkS0d/fXzx8+LDo6uoqHjhwQPzss8/Etm3biomJiY3ZZK1GjBghTps2zWDd6NGjxYiICFEURbGqqkpUq9XiypUrpfaSkhLR0dFR/Pzzz0VRFMVTp06JAMQjR45IfXbs2CEKgiAWFBTUue/y8nJRq9VKS35+vghA1Gq1Rjs+ya27+tjWQkREZAO0Wm29vr8bNUI0f/58TJgwAUOGDEFZWRkGDBiAf/zjH3j++efx0ksvGS2sBQcHY/fu3Thz5gwA4Ndff8XBgwcxbNgwAEBubi40Gg1CQ0Ol96hUKvTr1w9paWkAgLS0NLi5uaFPnz5Sn9DQUNjZ2SE9Pb3OfS9duhQqlUpafHx8jHZcREREZF0adR8iQRDw6quvYu7cuTh37hzKysrg7++PVq1aGbW4+fPnQ6fToWvXrlAoFNDr9XjrrbcQEREBANBoNAAAT09Pg/d5enpKbRqNBh4eHgbt9vb2cHd3l/rUZsGCBYiNjZVe63Q6hiIiIqJmqlGB6LPPPsPo0aPh7OwMf39/Y9ck+eqrr5CcnIzNmzeje/fuyM7ORkxMDLy9vTFlyhST7RcAHB0d4ejoaNJ9EBERkXVo1CmzOXPmwMPDAxMmTMD27dtN9uyyuXPnYv78+Rg/fjwCAwMxadIkzJkzB0uXLgVwa3I3ABQWFhq8r7CwUGpTq9UoKioyaL958yaKi4ulPkRERCRvjQpEly9fxhdffAFBEDBu3Dh4eXkhKioKhw4dMmpx169flx4kW02hUKCqqgoA4OfnB7Vajd27d0vtOp0O6enpCAoKAgAEBQWhpKQEmZmZUp89e/agqqoK/fr1M2q9REREZJsadcrM3t4ejz/+OB5//HFcv34d3377LTZv3ozBgwejXbt2OH/+vFGKGzlyJN566y34+vqie/fu+Pe//41Vq1Zh2rRpAG7NZYqJiUFCQgI6deoEPz8/xMXFwdvbG6NGjQIAdOvWDeHh4Zg+fTqSkpJQWVmJ6OhojB8/Ht7e3kapk4iIiGxbowLR3zk7OyMsLAxXr17FxYsXcfr0aWPUBQBYu3Yt4uLi8OKLL6KoqAje3t54/vnnsWjRIqnPP//5T1y7dg0zZsxASUkJHnnkEezcuRMtW7aU+iQnJyM6OhpDhgyBnZ0dxowZg8TERKPVSURERLZNEMW/3fa5AapHhpKTk7F79274+Pjg2WefRUREBLp27WrsOi1Op9NBpVJBq9VCqVQad+OCYNztmUPjfm2IiIjMqr7f340aIRo/fjy2bdsGZ2dnjBs3DnFxcdKcHSIiIiJb06hApFAo8NVXXyEsLAwKhcLYNRERERGZVYOuMhs+fDi0Wi2Sk5MxfPhwrFy50uBhrleuXDHpfYmIiIiITKFBgWjXrl2oqKiQXi9ZsgTFxcXS65s3byInJ8d41RERERGZQYMC0e3zrxs5H5uIiIjIqjTqxoxEREREzUmDApEgCBBuu0T89tdEREREtqZBV5mJooipU6dKDz0tLy/HzJkz4eLiAgAG84uIiIiIbEWDAtHtT5ifOHFijT6TJ09uWkVEREREZtagQPTxxx+bqg4iIiIii+GkaiIiIpI9BiIiIiKSPQYiIiIikj0GIiIiIpI9BiIiIiKSPQYiIiIikj0GIiIiIpI9BiIiIiKSPQYiIiIikj0GIiIiIpI9BiIiIiKSPQYiIiIikj0GIiIiIpI9BiIiIiKSPQYiIiIikj0GIiIiIpI9BiIiIiKSPQYiIiIikj0GIiIiIpI9BiIiIiKSPQYiIiIikj0GIiIiIpI9BiIiIiKSPasPRAUFBZg4cSLatGkDJycnBAYG4ujRo1K7KIpYtGgRvLy84OTkhNDQUJw9e9ZgG8XFxYiIiIBSqYSbmxsiIyNRVlZm7kMhIiIiK2XVgejq1asICQlBixYtsGPHDpw6dQrvvPMOWrduLfVZsWIFEhMTkZSUhPT0dLi4uCAsLAzl5eVSn4iICJw8eRIpKSnYtm0bUlNTMWPGDEscEhEREVkhQRRF0dJF1GX+/Pn45ZdfcODAgVrbRVGEt7c3Xn75ZbzyyisAAK1WC09PT2zatAnjx4/H6dOn4e/vjyNHjqBPnz4AgJ07d2L48OG4dOkSvL29a912RUUFKioqpNc6nQ4+Pj7QarVQKpXGPVBBMO72zMF6f22IiIgkOp0OKpXqrt/fVj1C9P3336NPnz54+umn4eHhgV69euGDDz6Q2nNzc6HRaBAaGiqtU6lU6NevH9LS0gAAaWlpcHNzk8IQAISGhsLOzg7p6el17nvp0qVQqVTS4uPjY4IjJCIiImtg1YHot99+w4YNG9CpUyfs2rULL7zwAmbNmoVPPvkEAKDRaAAAnp6eBu/z9PSU2jQaDTw8PAza7e3t4e7uLvWpzYIFC6DVaqUlPz/fmIdGREREVsTe0gXcSVVVFfr06YMlS5YAAHr16oUTJ04gKSkJU6ZMMem+HR0d4ejoaNJ9EBERkXWw6hEiLy8v+Pv7G6zr1q0b8vLyAABqtRoAUFhYaNCnsLBQalOr1SgqKjJov3nzJoqLi6U+REREJG9WHYhCQkKQk5NjsO7MmTNo3749AMDPzw9qtRq7d++W2nU6HdLT0xEUFAQACAoKQklJCTIzM6U+e/bsQVVVFfr162eGoyAiIiJrZ9WnzObMmYPg4GAsWbIE48aNQ0ZGBjZu3IiNGzcCAARBQExMDBISEtCpUyf4+fkhLi4O3t7eGDVqFIBbI0rh4eGYPn06kpKSUFlZiejoaIwfP77OK8yIiIhIXqz6snsA2LZtGxYsWICzZ8/Cz88PsbGxmD59utQuiiIWL16MjRs3oqSkBI888gjee+89dO7cWepTXFyM6Oho/PDDD7Czs8OYMWOQmJiIVq1a1buO+l621yi87J6IiMgk6vv9bfWByFowEN2GvzZERGQDmsV9iIiIiIjMgYGIiIiIZI+BiIiIiGSPgYiIiIhkj4GIiIiIZI+BiIiIiGSPgYiIiIhkj4GIiIiIZI+BiIiIiGSPgYiIiIhkj4GIiIiIZI+BiIiIiGSPgYgaJSQkBKWlpTXWl5aWIiQkBCqVChkZGbW+NyEhAYIgICEhodb2jIwMqFQqk+6DiIjIgEj1otVqRQCiVqs1/sZvPTvephadTlfjMHQ6nRgcHCwqlUoxPT291kONj48XAYjx8fG1tqenp4tKpVIMDg422T6IiEg+6vv9zUBUTwxEty23YRgiIiJrxEBkZAxEdQcihiEiIrJWDERGxkBUeyCylTBU1/uIiKh5YyAyMgaimoHIlsKQUqmszydBRETNTH2/vwVRFEXzTuO2TTqdDiqVClqtFkql0rgbFwTjbs8MBOgAhAM4ASAFQN9aeiUAiAMQD+C1WtozADwGIADATgCut7WXGnUfovjLHY+JiIian/p+f/Oye2ok2wpDt/ZBRERUO3tLF0C2yhRhSA/gAIDfAKwCkAfgZyPvg4iIqCYGImqUzZuTEBjojFvB6H/ef/99rFu3DtHR0Xj++VE12o8fP44ZM2agY8eOSEpaBReXiwCAn3/+GUuXLkVRUZHU193dHXFxhxAa6myUfdwKR0RERDXxlBk1SmBgYI11hkHl+RrthkElCS4uLgBuhaHY2FiDMAQAV69eRWxsLH7++ecm74OIiOhOGIjIKBobVPR6PZYtW4ba5vZXr1u+fDn0ej3DEBERmQyvMqsnXmVm6MTx40bZzpEjRzBt2rS79vvoo4/w0EMPNWlfAQE8ZUZEJDe8yoxswh9//GHUfkRERI3BQEQW1bZtW6P2IyIiagwGIrKo3r17w9PTE0Idpw0FQYBarUbv3r3NXBkREckJAxFZlEKhwPz582ttqw5J8+bNg0KhMGdZREQkMwxEZHGhoaFYtWoVPDw8DNZ7enpi1apVCA0NtVBlREQkF7wxI1mF0NBQDB48GFlZWfjjjz/Qtm1b9O7dmyNDRERkFgxEZDUUCkWTL60nIiJqDJ4yIyIiItmzqUC0bNkyCIKAmJgYaV15eTmioqLQpk0btGrVCmPGjEFhYaHB+/Ly8jBixAg4OzvDw8MDc+fOxc2bN81cPREREVkrmwlER44cwfvvv48HHnjAYP2cOXPwww8/4Ouvv8b+/fvx+++/Y/To0VK7Xq/HiBEjcOPGDRw6dAiffPIJNm3ahEWLFpn7EIiIiMhK2UQgKisrQ0REBD744AO0bt1aWq/VavHhhx9i1apVePTRR/Hggw/i448/xqFDh3D48GEAwE8//YRTp07hs88+Q8+ePTFs2DDEx8dj/fr1uHHjhqUOiYiIiKyITQSiqKgojBgxosbl15mZmaisrDRY37VrV/j6+iItLQ0AkJaWhsDAQHh6ekp9wsLCoNPpcPLkyTr3WVFRAZ1OZ7AQERFR82T1V5l98cUXyMrKwpEjR2q0aTQaODg4wM3NzWC9p6cnNBqN1OfvYai6vbqtLkuXLsUbb7zRxOqJiIjIFlj1CFF+fj5mz56N5ORktGzZ0qz7XrBgAbRarbTk5+ebdf9ERERkPlYdiDIzM1FUVITevXvD3t4e9vb22L9/PxITE2Fvbw9PT0/cuHEDJSUlBu8rLCyEWq0GAKjV6hpXnVW/ru5TG0dHRyiVSoOFiIiImierDkRDhgzB8ePHkZ2dLS19+vRBRESE9P8tWrTA7t27pffk5OQgLy8PQUFBAICgoCAcP34cRUVFUp+UlBQolUr4+/ub/ZiIiIjI+lj1HCJXV1cEBAQYrHNxcUGbNm2k9ZGRkYiNjYW7uzuUSiVeeuklBAUF4eGHHwYADB06FP7+/pg0aRJWrFgBjUaD1157DVFRUXB0dDT7MREREZH1sepAVB/vvvsu7OzsMGbMGFRUVCAsLAzvvfee1K5QKLBt2za88MILCAoKgouLC6ZMmYI333zTglXbvoDAQEuX0HCiaOkKiIjISgmiyG+J+tDpdFCpVNBqtcafTyQIxt0e1Y6/6kREslPf72+rnkNEREREZA4MRERERCR7DEREREQkewxEREREJHsMRERERCR7DEREREQkewxEREREJHsMRERERCR7DEREREQkewxEREREJHsMRERERCR7DEREREQkewxEREREJHsMRERERCR7DEREREQkewxEREREJHsMRERERCR7DEREREQkewxEREREJHsMRERERCR7DEREREQkewxEREREJHsMRERERCR7DEREREQkewxEREREJHsMRERERCR7DEREREQkewxEREREJHsMRERERCR7DEREREQkewxEREREJHsMRERERCR7DEREREQke1YfiJYuXYqHHnoIrq6u8PDwwKhRo5CTk2PQp7y8HFFRUWjTpg1atWqFMWPGoLCw0KBPXl4eRowYAWdnZ3h4eGDu3Lm4efOmOQ+FiIiIrJTVB6L9+/cjKioKhw8fRkpKCiorKzF06FBcu3ZN6jNnzhz88MMP+Prrr7F//378/vvvGD16tNSu1+sxYsQI3LhxA4cOHcInn3yCTZs2YdGiRZY4JCIiIrIygiiKoqWLaIg//vgDHh4e2L9/PwYMGACtVou2bdti8+bNGDt2LADgP//5D7p164a0tDQ8/PDD2LFjBx5//HH8/vvv8PT0BAAkJSVh3rx5+OOPP+Dg4HDX/ep0OqhUKmi1WiiVSuMelCAYd3tUO9v6VSciIiOo7/e31Y8Q3U6r1QIA3N3dAQCZmZmorKxEaGio1Kdr167w9fVFWloaACAtLQ2BgYFSGAKAsLAw6HQ6nDx5stb9VFRUQKfTGSxERETUPNlUIKqqqkJMTAxCQkIQEBAAANBoNHBwcICbm5tBX09PT2g0GqnP38NQdXt1W22WLl0KlUolLT4+PkY+GiIiIrIWNhWIoqKicOLECXzxxRcm39eCBQug1WqlJT8/3+T7JCIiIsuwt3QB9RUdHY1t27YhNTUV7dq1k9ar1WrcuHEDJSUlBqNEhYWFUKvVUp+MjAyD7VVfhVbd53aOjo5wdHQ08lEQERGRNbL6ESJRFBEdHY1vv/0We/bsgZ+fn0H7gw8+iBYtWmD37t3SupycHOTl5SEoKAgAEBQUhOPHj6OoqEjqk5KSAqVSCX9/f/McCBEREVktqx8hioqKwubNm/Hdd9/B1dVVmvOjUqng5OQElUqFyMhIxMbGwt3dHUqlEi+99BKCgoLw8MMPAwCGDh0Kf39/TJo0CStWrIBGo8Frr72GqKgojgIRERGR9V92L9RxSfrHH3+MqVOnArh1Y8aXX34Zn3/+OSoqKhAWFob33nvP4HTYxYsX8cILL2Dfvn1wcXHBlClTsGzZMtjb1y8T8rL7ZsC6f9WJiMgE6vv9bfWByFowEDUD/FUnIpKdZnsfIiIiIiJjYyAiIiIi2bP6SdVE1kyv1+PAgQO4fPkyvLy80L9/fygUCkuXRUREDcRARNRIW7ZswezZs3Hp0iVpXbt27bBmzRqDhwsTEZH14ykzokbYsmULxo4daxCGAKCgoABjx47Fli1bLFQZERE1BgMRUQPp9XrMnj0btV2gWb0uJiYGer3e3KUREVEjMRARNdCBAwdqjAz9nSiKyM/Px4EDB8xYFRERNQUDEVEDXb582aj9iIjI8hiIiBrIy8vLqP2IiMjyGIhIVkpLSxESEgKVSoWMjIxa+yQkJEAQBCQkJNTa7ujoWOcjZYBbj5txcHDAE0880eh9ZGRkQKVS3eVoiIjIaESqF61WKwIQtVqt8Td+66ESXEy86HQ6MTg4WFQqlWJ6enqtH0V8fLwIQIyPj6+1PT09XVQqlWKXLl1EQRBEQRBEANJS/drJyanJ+wgODm7c7xMREUnq+/3NZ5nVE59lZvsEBAM4ASAFQN9aeiQAiAMQD+C1WtozADwGIADAzv9uZzaAv0+wdgCgALDPKPsQRde7HBUREd1Jfb+/eWNGko1WrY5h48aNCAx0xq1g9D/vv/8+1q1bh+joaDz//Kga7cePH8eMGTPQsWNHJCWtgovLRQCdoddvQ1ZWFi5duoRPPvkEGo0GH3zwgRH3EWDcHwIREdWKI0T1xBEi23fi+HFLl9BgAQEMRERETcGn3RMRERHVE0+ZkWwEBAZauoSG4wAuEZFZcISIiIiIZI+BiIiIiGSPgYiIiIhkj4GIiIiIZI+BiIiIiGSPgYiIiIhkj4GIiIiIZI+BiIiIiGSPN2Ykkhm9Xo8DBw7g8uXL8PLyQv/+/aFQKCxdFhGRRTEQEcnIli1bMHv2bFy6dEla165dO6xZswajR4+2YGVERJbFU2ZEMrFlyxaMHTvWIAwBQEFBAcaOHYstW7ZYqDIiIsvj0+7ryZRPuxfesL2n3YuvW7oCmTDSH0+9Xo8OHTrUCEPVBEFAu3btkJuby9NnRNSs8Gn3RM1QRkYGVCoVQkJCUFpaWqO9tLQUISEhUKlUyMjIkNYfOHCgzjAEAKIoIj8/HwcOHGj0PoiIbBlHiOqJI0SGOEJkHieOHzfKdrZv34558+bdtd/y5csxfPjwJu0rICCgSe+vDSeCE1Fj1ff7m5OqiaxYQGCgUbbzZz379Z03DwH1CE53ZOR/Y3EiOBGZAwMRkQz0B9AOQAGA2uKK8N/2/uYsqh6qJ4LfPpBdPRH8m2++sdpQZIujWrZYM5GxMBARyYACwBoAY3Er/Pw9XlSfsF39337WQq/XY/bs2TXCEHBrzpMgCIiJicGTTz5pdV/atjiqZYs1A7YZ4lizdZLVHKL169dj5cqV0Gg06NGjB9auXYu+ffvW672cQ2T7OO8J2AJgNoC/T6/2wa0wZLSvPCP9lbJv3z4MHjz4rv327t2LQYMGGWWfxlDXqJYg3Ppzbo2jWrZYM2CbIY41mx+vMrvNl19+idjYWCxevBhZWVno0aMHwsLCUFRUZOnSiMxmNIALAPYC2Pzf/+bCiGHIiC5fvmzUfuZwt1EtAIiJiYFerzd3aXWyxZoB27yvFmu2brIZIerXrx8eeughrFu3DgBQVVUFHx8fvPTSS5g/f/5d388RItvHESLbsg/A3ceHboW6QcbYoRH+KrTFUS1brNkW76vFmi2HV5n9zY0bN5CZmYkFCxZI6+zs7BAaGoq0tLRa31NRUYGKigrptVarBXDrB2t05cbfJNUk3D33khFolxlnOz0AeAP4/Q597v1vP6P8qRSa/g+T8/XtN3gwejd5bwD++/dSU5w/X7+qz58/j969jVJ1k9X3vlo7d+5E//7WcakAa7ac6u/tu47/iDJQUFAgAhAPHTpksH7u3Lli3759a33P4sWLRdyae8qFCxcuXLhwsfElPz//jllBFiNEjbFgwQLExsZKr6uqqlBcXIw2bdpIEw3pf3Q6HXx8fJCfn2/0U4rUcPw8rA8/E+vCz8O6mPLzEEURpaWl8Pb2vmM/WQSie+65BwqFAoWFhQbrCwsLoVara32Po6MjHB0dDda5ubmZqsRmQ6lU8i8XK8LPw/rwM7Eu/Dysi6k+D5VKddc+srjKzMHBAQ8++CB2794trauqqsLu3bsRFBRkwcqIiIjIGshihAgAYmNjMWXKFPTp0wd9+/bF6tWrce3aNTz33HOWLo2IiIgsTDaB6JlnnsEff/yBRYsWQaPRoGfPnti5cyc8PT0tXVqz4OjoiMWLF9c4zUiWwc/D+vAzsS78PKyLNXwesrkPEREREVFdZDGHiIiIiOhOGIiIiIhI9hiIiIiISPYYiIiIiEj2GIioyQoKCjBx4kS0adMGTk5OCAwMxNGjRy1dlizp9XrExcXBz88PTk5OuP/++xEfH3/3Z/iQUaSmpmLkyJHw9vaGIAjYunWrQbsoili0aBG8vLzg5OSE0NBQnD171jLFysSdPpPKykrMmzcPgYGBcHFxgbe3NyZPnozff7/TE/SoKe72Z+TvZs6cCUEQsHr1arPUxkBETXL16lWEhISgRYsW2LFjB06dOoV33nkHrVu3tnRpsrR8+XJs2LAB69atw+nTp7F8+XKsWLECa9eutXRpsnDt2jX06NED69evr7V9xYoVSExMRFJSEtLT0+Hi4oKwsDCUl/MJz6Zyp8/k+vXryMrKQlxcHLKysrBlyxbk5OTgiSeesECl8nC3PyPVvv32Wxw+fPiuj9swKmM8PJXka968eeIjjzxi6TLov0aMGCFOmzbNYN3o0aPFiIgIC1UkXwDEb7/9VnpdVVUlqtVqceXKldK6kpIS0dHRUfz8888tUKH83P6Z1CYjI0MEIF68eNE8RclYXZ/HpUuXxHvvvVc8ceKE2L59e/Hdd981Sz0cIaIm+f7779GnTx88/fTT8PDwQK9evfDBBx9YuizZCg4Oxu7du3HmzBkAwK+//oqDBw9i2LBhFq6McnNzodFoEBoaKq1TqVTo168f0tLSLFgZ/Z1Wq4UgCHx2pYVUVVVh0qRJmDt3Lrp3727WfcvmTtVkGr/99hs2bNiA2NhYLFy4EEeOHMGsWbPg4OCAKVOmWLo82Zk/fz50Oh26du0KhUIBvV6Pt956CxEREZYuTfY0Gg0A1Lg7vqenp9RGllVeXo558+bh2Wef5QNfLWT58uWwt7fHrFmzzL5vBiJqkqqqKvTp0wdLliwBAPTq1QsnTpxAUlISA5EFfPXVV0hOTsbmzZvRvXt3ZGdnIyYmBt7e3vw8iO6gsrIS48aNgyiK2LBhg6XLkaXMzEysWbMGWVlZEATB7PvnKTNqEi8vL/j7+xus69atG/Ly8ixUkbzNnTsX8+fPx/jx4xEYGIhJkyZhzpw5WLp0qaVLkz21Wg0AKCwsNFhfWFgotZFlVIehixcvIiUlhaNDFnLgwAEUFRXB19cX9vb2sLe3x8WLF/Hyyy+jQ4cOJt8/AxE1SUhICHJycgzWnTlzBu3bt7dQRfJ2/fp12NkZ/rFWKBSoqqqyUEVUzc/PD2q1Grt375bW6XQ6pKenIygoyIKVyVt1GDp79ix+/vlntGnTxtIlydakSZNw7NgxZGdnS4u3tzfmzp2LXbt2mXz/PGVGTTJnzhwEBwdjyZIlGDduHDIyMrBx40Zs3LjR0qXJ0siRI/HWW2/B19cX3bt3x7///W+sWrUK06ZNs3RpslBWVoZz585Jr3Nzc5GdnQ13d3f4+voiJiYGCQkJ6NSpE/z8/BAXFwdvb2+MGjXKckU3c3f6TLy8vDB27FhkZWVh27Zt0Ov10nwud3d3ODg4WKrsZutuf0ZuD6QtWrSAWq1Gly5dTF+cWa5lo2bthx9+EAMCAkRHR0exa9eu4saNGy1dkmzpdDpx9uzZoq+vr9iyZUvxvvvuE1999VWxoqLC0qXJwt69e0UANZYpU6aIonjr0vu4uDjR09NTdHR0FIcMGSLm5ORYtuhm7k6fSW5ubq1tAMS9e/dauvRm6W5/Rm5nzsvuBVHkLWyJiIhI3jiHiIiIiGSPgYiIiIhkj4GIiIiIZI+BiIiIiGSPgYiIiIhkj4GIiIiIZI+BiIiIiGSPgYiIiIhkj4GIiIiIZI+BiIhs3tSpUyEIApYtW2awfuvWrRAEAQCwb98+CIKAkpKSem+3Q4cOWL16tRErJSJrxUBERM1Cy5YtsXz5cly9etXSpRCRDWIgIqJmITQ0FGq1GkuXLq33ew4ePIj+/fvDyckJPj4+mDVrFq5duwYAGDRoEC5evIg5c+ZAEARppOnixYsYOXIkWrduDRcXF3Tv3h3bt283yTERkfkwEBFRs6BQKLBkyRKsXbsWly5dumv/8+fPIzw8HGPGjMGxY8fw5Zdf4uDBg4iOjgYAbNmyBe3atcObb76Jy5cv4/LlywCAqKgoVFRUIDU1FcePH8fy5cvRqlUrkx4bEZmevaULICIylqeeego9e/bE4sWL8eGHH96x79KlSxEREYGYmBgAQKdOnZCYmIiBAwdiw4YNcHd3h0KhgKurK9RqtfS+vLw8jBkzBoGBgQCA++67z2THQ0TmwxEiImpWli9fjk8++QSnT5++Y79ff/0VmzZtQqtWraQlLCwMVVVVyM3NrfN9s2bNQkJCAkJCQrB48WIcO3bM2IdARBbAQEREzcqAAQMQFhaGBQsW3LFfWVkZnn/+eWRnZ0vLr7/+irNnz+L++++v833/+Mc/8Ntvv2HSpEk4fvw4+vTpg7Vr1xr7MIjIzHjKjIianWXLlqFnz57o0qVLnX169+6NU6dOoWPHjnX2cXBwgF6vr7Hex8cHM2fOxMyZM7FgwQJ88MEHeOmll4xSOxFZBkeIiKjZCQwMREREBBITE+vsM2/ePBw6dAjR0dHIzs7G2bNn8d1330mTqoFb9yFKTU1FQUEB/vzzTwBATEwMdu3ahdzcXGRlZWHv3r3o1q2byY+JiEyLgYiImqU333wTVVVV0uvq/7e3vzUw/sADD2D//v04c+YM+vfvj169emHRokXw9vY22MaFCxdw//33o23btgAAvV6PqKgodOvWDeHh4ejcuTPee+89Mx4ZEZmCIIqiaOkiiIhM7YsvvsD06dNRWlpq6VKIyApxDhERNWsVFRU4f/481q1bhyFDhli6HCKyUjxlRkTN2o4dO9CvXz+4uLjccU4REckbT5kRERGR7HGEiIiIiGSPgYiIiIhkj4GIiIiIZI+BiIiIiGSPgYiIiIhkj4GIiIiIZI+BiIiIiGSPgYiIiIhk7/8DoHRPytlqnFcAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_data(df_selected, x_variable='NJets')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_data(df_selected, x_variable='MET')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_data(df_selected, x_variable='LepDeltaPhi')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_data(df_selected, x_variable='LepDeltaR')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_data(df_selected, x_variable='SumLepPt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_data(df_selected, x_variable='NBJets')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "source": [
    "They look nice, but there's a problem.\n",
    "\n",
    "Wherever you may see a bit of <span style=\"color:blue\">signal</span>, it's covered by the Uncertainty band. \n",
    "\n",
    "This means that the extra area covered by the <span style=\"color:blue\">signal</span> could just be statistical fluctuations of the background processes. Hmm..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "<a id='separations'></a>\n",
    "\n",
    "## Separation\n",
    "\n",
    "Let's see how well <span style=\"color:blue\">signal</span> & <span style=\"color:red\">background</span> are separated for each variable, using simulation.\n",
    "\n",
    "<CENTER><img src=\"images/separation_meme.jpeg\" style=\"width:70%\"></CENTER>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "outputs": [],
   "source": [
    "def plot_separation(data, x_variable, samples_to_plot=samples_SR):\n",
    "    \n",
    "    min_x = min(data[x_variable]) # minimum x-value for this variable\n",
    "    max_x = max(data[x_variable]) # maximum x-value for this variable\n",
    "    step_x = (max_x-min_x)/10 # step size in x-value for this variable\n",
    "    \n",
    "    bin_edges = np.arange(start=min_x, # The interval includes this value\n",
    "                          stop=max_x+step_x, # The interval doesn't include this value\n",
    "                          step=step_x ) # Spacing between values\n",
    "\n",
    "    # clip signal underflow and overflow into x-axis range\n",
    "    signal_x = data[data['type']==1][x_variable]\n",
    "\n",
    "    mc_x = [] # define list to hold the MC histogram entries\n",
    "    for s in samples_to_plot: # loop over samples\n",
    "        if s!=0 and s!=1: # if not data nor signal\n",
    "            mc_x = [*mc_x, # mc_x for previous sample\n",
    "                    *data[data['type']==s][x_variable] ] # this sample\n",
    "\n",
    "\n",
    "    main_axes = plt.gca() # get current axes\n",
    "\n",
    "    # plot the background Monte Carlo distribution\n",
    "    mc_heights = plt.hist(mc_x, \n",
    "                          bins=bin_edges,\n",
    "                          density=True, # normalise the histogram\n",
    "                          histtype='step', color='red', \n",
    "                          label='background' )\n",
    "\n",
    "    # plot the signal distribution\n",
    "    signal_heights = plt.hist(signal_x,  \n",
    "                              bins=bin_edges,\n",
    "                              density=True, # normalise the histogram \n",
    "                              histtype='step', color='blue', \n",
    "                              label='signal', \n",
    "                              linestyle='--' ) # dashed line\n",
    "\n",
    "    bin_width = (max(data[x_variable])-min(data[x_variable]))/10\n",
    "    separation = 0 # start separation counter at 0\n",
    "    nstep  = 10 # number of bins\n",
    "    nS     = sum(signal_heights[0])*bin_width # signal integral\n",
    "    nB     = sum(mc_heights[0])*bin_width # background integral\n",
    "    for bin_i in range(nstep): # loop over each bin\n",
    "        s = signal_heights[0][bin_i]/nS # normalised signal in bin_i\n",
    "        b = mc_heights[0][bin_i]/nB # normalised background in bin_i\n",
    "        if (s + b > 0): separation += (s - b)*(s - b)/(s + b) # separation\n",
    "    separation *= 0.5*bin_width # multiply by 0.5 x bin_width \n",
    "\n",
    "    # x-axis label\n",
    "    plt.xlabel(x_variable )\n",
    "\n",
    "    # y-axis label\n",
    "    plt.ylabel('Normalised units') \n",
    "\n",
    "    # draw the legend\n",
    "    plt.legend() # no box around the legend\n",
    "    \n",
    "    plt.title(str(round(separation*100,1))+'% Separation between signal and background')\n",
    "    \n",
    "    plt.show() # show the Signal and background distributions\n",
    "    \n",
    "    \n",
    "    # *************\n",
    "    # Signal to background ratio\n",
    "    # *************\n",
    "    plt.figure() # start new figure\n",
    "    SoverB = [] # list to hold S/B values\n",
    "    for cut_value in bin_edges: # loop over bins\n",
    "        signal_weights_passing_cut = sum(data[(data['type']==1) & (data[x_variable]>cut_value)].weight)\n",
    "        background_weights_passing_cut = 0 # start counter for background weights passing cut\n",
    "        for s in [2,3,4]: # loop over background samples\n",
    "            background_weights_passing_cut += sum(data[(data['type']==s) & (data[x_variable]>cut_value)].weight)\n",
    "        if background_weights_passing_cut!=0: # some background passes cut\n",
    "            SoverB_value = signal_weights_passing_cut/background_weights_passing_cut\n",
    "            SoverB_percent = 100*SoverB_value # multiply by 100 for percentage\n",
    "            SoverB.append(SoverB_percent) # append to list of S/B values\n",
    "\n",
    "    plt.plot( bin_edges[:len(SoverB)], SoverB ) # plot the data points\n",
    "    plt.ylim( bottom=0 ) # set the x-limit of the main axes\n",
    "    plt.ylabel( 'S/B (%)' ) # write y-axis label for main axes\n",
    "    plt.title('signal:background ratio for different '+x_variable+' selection values')\n",
    "    plt.xlabel( x_variable ) # x-axis label \n",
    "\n",
    "    plt.show() # show S/B plot\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "source": [
    "Let's take a look at those input variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_separation(df_selected, x_variable='NJets')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_separation(df_selected, x_variable='MET')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_separation(df_selected, x_variable='Mll')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_separation(df_selected, x_variable='SumLepPt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_separation(df_selected, x_variable='LepDeltaPhi')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_separation(df_selected, x_variable='LepDeltaR')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_separation(df_selected, x_variable='NBJets')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "source": [
    "Hmm... some of those separations and <span style=\"color:blue\">S</span>/<span style=\"color:red\">B</span> are helpful, but could we achieve higher separation and <span style=\"color:blue\">S</span>/<span style=\"color:red\">B</span>?\n",
    "\n",
    "With Machine Learning, the answer is yes!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "<a id='correlations'></a>\n",
    "\n",
    "## Correlations\n",
    "\n",
    "It'd be nice if we could use all variables in our ML technique.\n",
    "\n",
    "But, we can't use `Mll` since we selected values around the Z mass; using it &#8594; overtraining.\n",
    "\n",
    "To be sure we can use all the others, we need to check the correlations between them.\n",
    "\n",
    "If a pair of variables is fully correlated (=1.0), using both wouldn't add any new info.\n",
    "\n",
    "<CENTER><img src=\"images/correlation_meme.jpeg\" style=\"width:80%\"></CENTER>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "outputs": [],
   "source": [
    "ML_inputs = ['NJets','NBJets','MET','LepDeltaPhi','LepDeltaR','SumLepPt']\n",
    "\n",
    "def correlations(data):\n",
    "    \"\"\"Calculate pairwise correlation between features.\n",
    "    \n",
    "    Extra arguments are passed on to DataFrame.corr()\n",
    "    \"\"\"\n",
    "    # simply call df.corr() to get a table of\n",
    "    # correlation values if you do not need\n",
    "    # the fancy plotting\n",
    "    corrmat = data.corr()\n",
    "    \n",
    "    heatmap1 = plt.pcolor(corrmat) # get heatmap\n",
    "    plt.colorbar(heatmap1) # plot colorbar\n",
    "\n",
    "    plt.title(\"correlations\") # set title\n",
    "\n",
    "    x_variables = corrmat.columns.values # get variables from data columns\n",
    "    \n",
    "    plt.xticks(np.arange(len(x_variables))+0.5, x_variables, rotation=60) # x-tick for each label\n",
    "    plt.yticks(np.arange(len(x_variables))+0.5, x_variables) # y-tick for each label"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "correlations(df_selected[ML_inputs]) # plot correlation matrix"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "source": [
    "No variable pair is correlated > ~0.75, so we can use each variable :)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "<a id='ML_setup'></a>\n",
    "\n",
    "## Machine Learning setup\n",
    "\n",
    "Now we need to organise data ready for ML.\n",
    "\n",
    "<CENTER><img src=\"images/ML_meme.jpeg\" style=\"width:60%\"></CENTER>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/srv/conda/envs/notebook/lib/python3.10/site-packages/sklearn/neural_network/_multilayer_perceptron.py:697: UserWarning: Training interrupted by user.\n",
      "  warnings.warn(\"Training interrupted by user.\")\n"
     ]
    }
   ],
   "source": [
    "df_measured = df_selected[df_selected['type']==0] # measured data has type==0\n",
    "df_simulated = df_selected[df_selected['type']!=0] # simulated data has type!=0\n",
    "\n",
    "# for sklearn data is usually organised                                                                                                                                           \n",
    "# into one 2D array of shape (n_samples x n_features)                                                                                                                             \n",
    "# containing all the data and one array of categories                                                                                                                             \n",
    "# of length n_samples  \n",
    "\n",
    "X = df_simulated[ML_inputs] # concatenate the list of MC dataframes into a single 2D array of features, called X\n",
    "y = np.concatenate([np.ones(df_simulated[df_simulated['type']==1].shape[0]), \n",
    "                    np.zeros(df_simulated[df_simulated['type']!=1].shape[0])]) # concatenate the list of lables into a single 1D array of labels, called y\n",
    "\n",
    "# One of the first things to do is split your data into a training and testing set. \n",
    "# This will split your data into train-test sets: 75%-25%. \n",
    "# It will also shuffle entries so you will not get the first 75% of X for training and the last 25% for testing. \n",
    "# This is particularly important in cases where you load all signal events first and then the background events.\n",
    "\n",
    "# Here we split our data into two independent samples. \n",
    "# The split is to create a training and testing set. \n",
    "# The first will be used for training the classifier and the second to evaluate its performance.\n",
    "\n",
    "# We don't want to test on events that we used to train on, \n",
    "# this prevents overfitting to some subset of data so the network would be good for the test data but much worse at any *new* data it sees.\n",
    "\n",
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "# make train and test sets\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, \n",
    "                                                    random_state=7 )\n",
    "\n",
    "# A neural network may have difficulty converging before the maximum number of iterations if the data is not \n",
    "# normalized. \n",
    "# Multi-layer Perceptron is sensitive to feature scaling, so it is highly recommended to scale your data. \n",
    "# Note that you must apply the same scaling to the test set for meaningful results. \n",
    "# There are a lot of different methods for normalization of data, \n",
    "# we will use the built-in StandardScaler for standardization.\n",
    "\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "scaler = StandardScaler() # initialise StandardScaler\n",
    "\n",
    "# Fit only to the training data\n",
    "scaler.fit(X_train)\n",
    "\n",
    "# Now apply the transformations to the data:\n",
    "X_train = scaler.transform(X_train)\n",
    "X_test = scaler.transform(X_test)\n",
    "X = scaler.transform(X)\n",
    "\n",
    "# We'll use SciKit Learn (sklearn) in this tutorial. Other possible tools include keras and pytorch. \n",
    "\n",
    "# After initialising our MLPClassifier, call the .fit() method with the training sample as an argument. \n",
    "# This will train the tree. \n",
    "\n",
    "from sklearn.neural_network import MLPClassifier\n",
    "\n",
    "ml_classifier = MLPClassifier(random_state=7) # initialise classifier\n",
    "ml_classifier.fit(X_train, y_train) # fit MVA to training set\n",
    "\n",
    "# Now we are ready to evaluate the performance on the held out testing set.\n",
    "\n",
    "df_with_ML = df_selected.copy() # copy selected DataFrame to be able to add new column\n",
    "ml_output_list = [] # start list to hold ML outputs\n",
    "for s in [0,1,2,3,4]: # loop over samples\n",
    "    X_s = df_selected[df_selected['type']==s][ML_inputs] # get the MVA input features\n",
    "    X_s = scaler.transform(X_s) # apply scaling\n",
    "    ml_output_on_X_s = ml_classifier.predict_proba(X_s)[:, 1] # get decision function for this sample\n",
    "    ml_output_list.append(ml_output_on_X_s) # append to list of ML outputs\n",
    "ml_output_array = np.concatenate(ml_output_list) # concatenate into one array\n",
    "df_with_ML['ML_output'] = ml_output_array # save new column"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "<a id='overtraining_check'></a>\n",
    "\n",
    "## Overtraining check\n",
    "\n",
    "In this section we will check whether there has been any overtraining.\n",
    "\n",
    "<CENTER><img src=\"images/overtraining_meme.jpeg\" style=\"width:40%\"></CENTER>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "outputs": [],
   "source": [
    "def compare_train_test(clf, X_train, y_train, X_test, y_test):\n",
    "    decisions = [] # list to hold decisions of classifier\n",
    "    for X,y in ((X_train, y_train), (X_test, y_test)): # train and test\n",
    "        d1 = clf.predict_proba(X[y>0.5])[:, 1] # signal\n",
    "        d2 = clf.predict_proba(X[y<0.5])[:, 1] # background\n",
    "        decisions += [d1, d2] # add to list of classifier decision\n",
    "        \n",
    "    low = min(np.min(d) for d in decisions) # get minimum score\n",
    "    high = max(np.max(d) for d in decisions) # get maximum score\n",
    "    low_high = (low,high) # tuple holding score range\n",
    "    \n",
    "    # plot the test set background\n",
    "    background_test_heights = plt.hist(decisions[3], # background in test set\n",
    "                                       range=low_high, # lower and upper range of the bins\n",
    "                                       density=True, # area under the histogram will sum to 1\n",
    "                                       color='red', label='B (test)', # Background (test)\n",
    "                                       alpha=0.5 ) # half transparency\n",
    "    \n",
    "    # plot the test set signal\n",
    "    signal_test_heights = plt.hist(decisions[2], # signal in test set\n",
    "                                   range=low_high, # lower and upper range of the bins\n",
    "                                   density=True, # area under the histogram will sum to 1\n",
    "                                   color='blue', label='S (test)', # Signal (test)\n",
    "                                   alpha=0.5 ) # half transparency\n",
    "\n",
    "    # histogram the training set background\n",
    "    background_train_hist, bin_edges = np.histogram(decisions[1], # training background\n",
    "                                                    range=low_high, # lower & upper range of the bins\n",
    "                                                    density=True ) # area under the histogram will sum to 1\n",
    "    \n",
    "    # get scale between raw and normalised training background\n",
    "    background_scale = len(decisions[1]) / sum(background_train_hist) \n",
    "    \n",
    "    # get statistical error on background training set\n",
    "    background_train_err = np.sqrt(background_train_hist * background_scale) / background_scale\n",
    "    \n",
    "    center = (bin_edges[:-1] + bin_edges[1:]) / 2 # bin centres\n",
    "    \n",
    "    # plot training set background\n",
    "    plt.errorbar(x=center, y=background_train_hist, yerr=background_train_err, fmt='ro', # red circles\n",
    "                 label='B (train)' ) # Background (train)\n",
    "\n",
    "    # histogram the training set signal\n",
    "    signal_train_hist, bin_edges = np.histogram(decisions[0], # training signal\n",
    "                                                range=low_high, # lower & upper range of the bins\n",
    "                                                density=True ) # area under the histogram will sum to 1\n",
    "    \n",
    "    # get scale between raw and normalised training signal\n",
    "    signal_scale = len(decisions[0]) / sum(signal_train_hist) \n",
    "    \n",
    "    # get statistical error on signal training set\n",
    "    signal_train_err = np.sqrt(signal_train_hist * signal_scale) / signal_scale\n",
    "    \n",
    "    # plot training set signal\n",
    "    plt.errorbar(x=center, y=signal_train_hist, yerr=signal_train_err, fmt='b*', # blue stars\n",
    "                 label='S (train)' ) # Signal (train)\n",
    "\n",
    "    plt.xlabel(\"ML output\") # write x-axis units\n",
    "    plt.ylabel(\"Normalised units\") # write y-axis units\n",
    "    plt.legend() # draw legend\n",
    "    plt.title('overtraining check') # add title to plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "compare_train_test(ml_classifier, X_train, y_train, X_test, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "source": [
    "If overtraining were present, the dots (test set) would be very far from the bars (training set).\n",
    "\n",
    "Within uncertainties, our dots are in reasonable agreement with our bars, so we can proceed :)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "<a id='ROC'></a>\n",
    "\n",
    "## Performance\n",
    "\n",
    "A useful plot to judge the performance of a classifier is to look at the ROC curve directly.\n",
    "\n",
    "<CENTER><img src=\"images/ROC_meme.jpeg\" style=\"width:100%\"></CENTER>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "outputs": [],
   "source": [
    "from sklearn.metrics import roc_curve\n",
    "\n",
    "# define function to plot ROC curve\n",
    "def roc(clf, X_train, y_train, X_test, y_test): \n",
    "    train_decisions = clf.predict_proba(X_train)[:, 1] # get probabilities on train set\n",
    "    test_decisions = clf.predict_proba(X_test)[:, 1] # get probabilities on test set\n",
    "        \n",
    "    # Compute ROC curve for training set\n",
    "    train_fpr, train_tpr, _ = roc_curve(y_train, # actual\n",
    "                                        train_decisions ) # predicted\n",
    "    \n",
    "    # plot train ROC curve\n",
    "    plt.plot(train_fpr, # x\n",
    "             train_tpr, # y\n",
    "             label='Train', color='orange' )\n",
    "\n",
    "    # Compute ROC curve for test set\n",
    "    test_fpr, test_tpr, _ = roc_curve(y_test, # actual\n",
    "                                      test_decisions ) # predicted\n",
    "    \n",
    "    # plot test ROC curve\n",
    "    plt.plot(test_fpr, # x\n",
    "             test_tpr, # y\n",
    "             label='Test', color='purple' )\n",
    "    \n",
    "    plt.xlabel('False Positive Rate') # add x-axis label\n",
    "    plt.ylabel('True Positive Rate') # add y-axis label\n",
    "    plt.title('ROC curve') # add title\n",
    "    plt.legend() # draw legend"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "roc(ml_classifier, X_train, y_train, X_test, y_test) # plot ML ROC"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "source": [
    "The fact that the <span style=\"color:orange\">train</span> and <span style=\"color:purple\">test</span> curves overlap is another indication that overtraining isn't present.\n",
    "\n",
    "The better the classifier, the more the curves will lie towards the top left."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "<a id='ML_output_separation'></a>\n",
    "\n",
    "## ML_output separation\n",
    "\n",
    "Let's look at how well `ML_output` separates between <span style=\"color:blue\">signal</span> and <span style=\"color:red\">background</span>.\n",
    "\n",
    "<CENTER><img src=\"images/ML_output_separation_meme.jpeg\" style=\"width:40%\"></CENTER>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_separation(df_with_ML, x_variable='ML_output')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "source": [
    "This separation and <span style=\"color:blue\">S</span>/<span style=\"color:red\">B</span> is better than any of the individual variables could ever have achieved, nice!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "<a id='ML_output_data'></a>\n",
    "\n",
    "## ML_output data distributions\n",
    "\n",
    "Now we can take a look at the combined measured & simulated `ML_output` distribution.\n",
    "\n",
    "<CENTER><img src=\"images/ML_output_data_meme.jpeg\" style=\"width:50%\"></CENTER>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_data(df_with_ML, x_variable='ML_output')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "source": [
    "Hmm... <span style=\"color:blue\">signal</span> is still covered by the Uncertainty..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## How does $t\\bar{t}Z$ look?\n",
    "\n",
    "Looking at the diagram for <span style=\"color:blue\">signal</span>, we expect at least 6 jets, including at least 2 b-jets.\n",
    "\n",
    "<CENTER><img src=\"images/feynman_diagrams/ttZ_diagram.png\" style=\"width:27%\"></CENTER>\n",
    "\n",
    "Let's make a further selection for >=6 jets & >=2 b-jets, then see how `ML_output` looks."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "post_selected_df = df_with_ML[(df_with_ML['NJets']>=6) & # select at least 6 jets\n",
    "                              (df_with_ML['NBJets']>=2)] # select at least 2 b-jets\n",
    "\n",
    "plot_data(post_selected_df, x_variable='ML_output')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "source": [
    "We can finally see a little bit of <span style=\"color:blue\">signal</span> not covered by Uncertainty between 0.8-0.9 in `ML_output`\n",
    "\n",
    "We can completely eliminate <span style=\"color:gray\">tt background</span> and achieve <span style=\"color:blue\">S</span>/<span style=\"color:red\">B</span>~15% by selecting `ML_output>0.8`.\n",
    "\n",
    "<a id='going_further'></a>\n",
    "\n",
    "## Going further\n",
    "\n",
    "Improvement can be made, but this technique of isolating <span style=\"color:blue\">signal</span> at high `ML_output` will allow us to make precise measurements of the <span style=\"color:blue\">signal</span> process.\n",
    "\n",
    "Maybe you'd like to try some of these improvements?\n",
    "\n",
    "There are a number of things you could try: \n",
    "\n",
    "* **Try different selections** in '[Selections](#selections)'. \n",
    "* **Add `Mll` in `ML_inputs`** in '[Correlations](#correlations)'. Does it lead to overtraining? \n",
    "* **Try a different train_test_split** than the default 75% in '[Machine Learning setup](#ML_setup)'. You may find the [sklearn documentation on train_test_split](https://scikit-learn.org/stable/modules/generated/sklearn.model_selection.train_test_split.html) helpful. Does it change the results?\n",
    "* **Try a different scaler** than `StandardScaler` in '[Machine Learning setup](#ML_setup)'. You may find the [sklearn documentation on preprocessing](https://scikit-learn.org/stable/modules/preprocessing.html) helpful.\n",
    "* **Try other machine learning algorithms** than `MLPClassifier` in '[Machine Learning setup](#ML_setup)'. You may find [sklearn documentation on supervised learning](https://scikit-learn.org/stable/supervised_learning.html#supervised-learning) helpful.\n",
    "* **Modify classifier hyperparameters** in '[Machine Learning setup](#ML_setup)'. For `MLPClassifier`, you may find [sklearn documentation on `MLPClassifier`](https://scikit-learn.org/stable/modules/generated/sklearn.neural_network.MLPClassifier.html) helpful.\n",
    "\n",
    "With each change, keep an eye on the data distributions, separations, correlations, overtraining and ROC. \n",
    "\n",
    "Let us know if you find high separations and performance! As long as there isn't overtraining of course ;)\n",
    "\n",
    "<a id='conclusion'></a>\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Conclusion\n",
    "\n",
    "Chucking everything into machine learning means we only have 1 variable to optimise. \n",
    "\n",
    "<span style=\"color:blue\">Signal</span> and <span style=\"color:red\">background</span> distributions are separated more when looking at ML output. \n",
    "\n",
    "Machine learning achieves higher <span style=\"color:blue\">S</span>/<span style=\"color:red\">B</span> than individual variables, because it finds multi-dimension correlations that give better <span style=\"color:blue\">S</span>/<span style=\"color:red\">B</span> classification.\n",
    "\n",
    "Hope you've enjoyed this notebook on Machine Learning <span style=\"color:blue\">signal</span> v <span style=\"color:red\">background</span> classification!\n",
    "\n",
    "<CENTER><img src=\"images/conclusion_meme.jpeg\" style=\"width:100%\"></CENTER>"
   ]
  }
 ],
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