Collect-Results-for-Single-ABCD.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import hist\n",
    "import matplotlib.pyplot as plt\n",
    "import mplhep as hep\n",
    "import numpy as np\n",
    "import os\n",
    "import sys\n",
    "import torch\n",
    "import torch.backends.cudnn as cudnn\n",
    "import torch.cuda as tcuda\n",
    "import torch.nn as nn\n",
    "import yaml\n",
    "\n",
    "from torch.nn.functional import softmax\n",
    "from utils import get_data_loader\n",
    "\n",
    "from sklearn.metrics import (\n",
    "    auc,\n",
    "    accuracy_score,\n",
    "    average_precision_score,\n",
    "    precision_recall_curve,\n",
    "    roc_curve\n",
    ")\n",
    "from scipy.stats import pearsonr\n",
    "\n",
    "from suepvision.smodels import (\n",
    "    LeNet5,\n",
    "    get_resnet18,\n",
    "    get_resnet50\n",
    ")\n",
    "\n",
    "hep.style.use(\"CMS\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "config = yaml.safe_load(open(\"configs/resnet18-boosted-classifier.yml\"))\n",
    "dataset = config['dataset']\n",
    "evaluation_pref = config['evaluation_pref']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "MODEL_NAME_1 = 'ResNet18-Boosted-Single-Track'\n",
    "\n",
    "model1 = eval(config['architecture'])()\n",
    "model1.load_state_dict(torch.load(\"models/{}.pth\".format(MODEL_NAME_1)))\n",
    "model1 = model1.to(0)\n",
    "\n",
    "MODEL_NAME_2 = 'ResNet18-Boosted-Single-Sphericity'\n",
    "\n",
    "model2 = eval(config['architecture'])()\n",
    "model2.load_state_dict(torch.load(\"models/{}.pth\".format(MODEL_NAME_2)))\n",
    "model2 = model2.to(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "test_loader = get_data_loader(\n",
    "    dataset['test'][0],\n",
    "    evaluation_pref['batch_size'],\n",
    "    evaluation_pref['workers'],\n",
    "    dataset['in_dim'],\n",
    "    0,\n",
    "    boosted=dataset['boosted'],\n",
    "    shuffle=False\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "results_track = torch.tensor([])\n",
    "results_sphericity = torch.tensor([])\n",
    "all_tracks = torch.tensor([])\n",
    "all_sphericity = torch.tensor([])\n",
    "\n",
    "model1.eval()\n",
    "model2.eval()\n",
    "with torch.no_grad():\n",
    "    for images, targets, tracks, sphericity in test_loader:\n",
    "        targets = tcuda.LongTensor(targets, device=0)\n",
    "        tracks = tcuda.FloatTensor(tracks, device=0)\n",
    "        sphericity = tcuda.FloatTensor(sphericity, device=0)\n",
    "        \n",
    "        all_tracks = torch.cat((all_tracks, tracks.cpu()), 0)\n",
    "        all_sphericity = torch.cat((all_sphericity, sphericity.cpu()), 0)\n",
    "        \n",
    "        outputs1 = model1(images)\n",
    "        outputs2 = model2(images)\n",
    "        \n",
    "        batch_results1 = torch.cat((targets.reshape(-1, 1), outputs1), 1)\n",
    "        batch_results2 = torch.cat((targets.reshape(-1, 1), outputs2), 1)\n",
    "        \n",
    "        results_track = torch.cat((results_track, batch_results1.cpu()), 0)\n",
    "        results_sphericity = torch.cat((results_sphericity, batch_results2.cpu()), 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy Tracks: 0.958 ± 0.002\n",
      "Correlation Tracks: 0.104 ± 0.009\n",
      "Accuracy Sphericity: 0.959 ± 0.002\n",
      "Correlation Sphericity: -0.010 ± 0.011\n"
     ]
    }
   ],
   "source": [
    "CV = 10\n",
    "\n",
    "y_true1 = results_track[:, 0]\n",
    "y_true2 = results_sphericity[:, 0]\n",
    "y_pred1 = softmax(results_track[:, 1:], 1)\n",
    "y_pred2 = softmax(results_sphericity[:, 1:], 1)\n",
    "y_pred1 = y_pred1[:, 1].detach().cpu().numpy()\n",
    "y_pred2 = y_pred2[:, 1].detach().cpu().numpy()\n",
    "\n",
    "samples_per_cv = len(y_true1) // CV\n",
    "\n",
    "acc1, acc2, corr1, corr2 = [], [], [], []\n",
    "for i in range(CV):\n",
    "    y_true1_cv = y_true1[i*samples_per_cv:(i+1)*samples_per_cv]\n",
    "    y_true2_cv = y_true2[i*samples_per_cv:(i+1)*samples_per_cv]\n",
    "    y_pred1_cv = y_pred1[i*samples_per_cv:(i+1)*samples_per_cv]\n",
    "    y_pred2_cv = y_pred2[i*samples_per_cv:(i+1)*samples_per_cv]\n",
    "    \n",
    "    tracks_cv = all_tracks[i*samples_per_cv:(i+1)*samples_per_cv]\n",
    "    sphericity_cv = all_sphericity[i*samples_per_cv:(i+1)*samples_per_cv]\n",
    "\n",
    "    acc1.append(accuracy_score(y_true1_cv, y_pred1_cv > .5))\n",
    "    corr1.append(pearsonr(y_pred1_cv[y_true1_cv == 0], tracks_cv.detach().cpu().numpy()[y_true1_cv == 0])[0])\n",
    "    \n",
    "    acc2.append(accuracy_score(y_true2_cv, y_pred2_cv > .5))\n",
    "    corr2.append(pearsonr(y_pred2_cv[y_true2_cv == 0], sphericity_cv.detach().cpu().numpy()[y_true2_cv == 0])[0])\n",
    "\n",
    "print(u'Accuracy Tracks: {0:.3f} \\u00B1 {1:.3f}'.format(np.mean(acc1), np.std(acc1)))\n",
    "print(u'Correlation Tracks: {0:.3f} \\u00B1 {1:.3f}'.format(np.mean(corr1), np.std(corr1)))\n",
    "print(u'Accuracy Sphericity: {0:.3f} \\u00B1 {1:.3f}'.format(np.mean(acc2), np.std(acc2)))\n",
    "print(u'Correlation Sphericity: {0:.3f} \\u00B1 {1:.3f}'.format(np.mean(corr2), np.std(corr2)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "suep_cl1 = all_tracks[y_true1 == 1]\n",
    "suep_cl2 = y_pred1[y_true1 == 1]\n",
    "\n",
    "qcd_cl1 = all_tracks[y_true1 == 0]\n",
    "qcd_cl2 = y_pred1[y_true1 == 0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor(2.)"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "qcd_cl1.min()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
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       "Classifier Output\n",
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       "<div style=\"flex=grow:1;\">\n",
       "Regular(50, 0, 200, name='ntracks', label='# Tracks')<br/>\n",
       "Regular(50, 0, 1, name='classifier_output', label='Classifier Output')<br/>\n",
       "<hr style=\"margin-top:.2em; margin-bottom:.2em;\"/>\n",
       "Weight() Σ=WeightedSum(value=49999, variance=49999) <em>(WeightedSum(value=50000, variance=50000) with flow)</em>\n",
       "\n",
       "</div>\n",
       "</div>\n",
       "</html>"
      ],
      "text/plain": [
       "Hist(\n",
       "  Regular(50, 0, 200, name='ntracks', label='# Tracks'),\n",
       "  Regular(50, 0, 1, name='classifier_output', label='Classifier Output'),\n",
       "  storage=Weight()) # Sum: WeightedSum(value=49999, variance=49999) (WeightedSum(value=50000, variance=50000) with flow)"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hist_abcd = (\n",
    "     hist.new\n",
    "    .Regular(50, 0, 200, name=\"ntracks\", label=\"# Tracks\")\n",
    "    .Regular(50, 0, 1, name=\"classifier_output\", label=\"Classifier Output\")\n",
    "    .Weight()\n",
    ")\n",
    "\n",
    "hist_abcd.fill(qcd_cl1, qcd_cl2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html>\n",
       "<div style=\"display:flex; align-items:center;\">\n",
       "<div style=\"width:290px;\">\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"-20 -270 290 290\">\n",
       "<text text-anchor=\"middle\" x=\"0\" y=\"13\" style=\"fill:currentColor;\">\n",
       "0\n",
       "</text>\n",
       "<text text-anchor=\"middle\" x=\"250\" y=\"13\" style=\"fill:currentColor;\">\n",
       "200\n",
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       "0\n",
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       "<text text-anchor=\"middle\" x=\"-10\" y=\"-250\" style=\"fill:currentColor;\">\n",
       "1\n",
       "</text>\n",
       "<text text-anchor=\"middle\" x=\"125.0\" y=\"13\" style=\"fill:currentColor;\">\n",
       "# Tracks\n",
       "</text>\n",
       "<text text-anchor=\"middle\" x=\"-10\" y=\"-125.0\" transform=\"rotate(-90,-10,-125.0)\" style=\"fill:currentColor;\">\n",
       "Classifier Output\n",
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       "<rect x=\"220.0\" y=\"-250.0\" width=\"5.0\" height=\"5.0\" opacity=\"0.0\" fill=\"currentColor\" stroke-width=\"0.1\"/>\n",
       "<rect x=\"225.0\" y=\"-250.0\" width=\"5.0\" height=\"5.0\" opacity=\"0.0\" fill=\"currentColor\" stroke-width=\"0.1\"/>\n",
       "<rect x=\"230.0\" y=\"-250.0\" width=\"5.0\" height=\"5.0\" opacity=\"0.0\" fill=\"currentColor\" stroke-width=\"0.1\"/>\n",
       "<rect x=\"235.0\" y=\"-250.0\" width=\"5.0\" height=\"5.0\" opacity=\"0.0\" fill=\"currentColor\" stroke-width=\"0.1\"/>\n",
       "<rect x=\"240.0\" y=\"-250.0\" width=\"5.0\" height=\"5.0\" opacity=\"0.0\" fill=\"currentColor\" stroke-width=\"0.1\"/>\n",
       "<rect x=\"245.0\" y=\"-250.0\" width=\"5.0\" height=\"5.0\" opacity=\"0.0\" fill=\"currentColor\" stroke-width=\"0.1\"/>\n",
       "</svg>\n",
       "</div>\n",
       "<div style=\"flex=grow:1;\">\n",
       "Regular(50, 0, 200, name='ntracks', label='# Tracks')<br/>\n",
       "Regular(50, 0, 1, name='classifier_output', label='Classifier Output')<br/>\n",
       "<hr style=\"margin-top:.2em; margin-bottom:.2em;\"/>\n",
       "Weight() Σ=WeightedSum(value=49296, variance=49296) <em>(WeightedSum(value=50000, variance=50000) with flow)</em>\n",
       "\n",
       "</div>\n",
       "</div>\n",
       "</html>"
      ],
      "text/plain": [
       "Hist(\n",
       "  Regular(50, 0, 200, name='ntracks', label='# Tracks'),\n",
       "  Regular(50, 0, 1, name='classifier_output', label='Classifier Output'),\n",
       "  storage=Weight()) # Sum: WeightedSum(value=49296, variance=49296) (WeightedSum(value=50000, variance=50000) with flow)"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hist_abcd_suep = (\n",
    "     hist.new\n",
    "    .Regular(50, 0, 200, name=\"ntracks\", label=\"# Tracks\")\n",
    "    .Regular(50, 0, 1, name=\"classifier_output\", label=\"Classifier Output\")\n",
    "    .Weight()\n",
    ")\n",
    "\n",
    "hist_abcd_suep.fill(suep_cl1, suep_cl2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = hep.histplot(hist_abcd.project(0), label=\"QCD\")\n",
    "_ = hep.histplot(hist_abcd_suep.project(0), label=\"SUEP\")\n",
    "_ = plt.yscale('log')\n",
    "_ = plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = hep.histplot(hist_abcd.project(1), label=\"QCD\")\n",
    "_ = hep.histplot(hist_abcd_suep.project(1), label=\"SUEP\")\n",
    "_ = plt.yscale('log')\n",
    "_ = plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [],
   "source": [
    "ntracks_cut = 60j\n",
    "cl_cut = 0.5j\n",
    "\n",
    "A = hist_abcd[:ntracks_cut, :cl_cut]\n",
    "B = hist_abcd[ntracks_cut:, :cl_cut]\n",
    "C = hist_abcd[:ntracks_cut, cl_cut:]\n",
    "D = hist_abcd[ntracks_cut:, cl_cut:]\n",
    "D_exp = C.copy() * B.sum().value / A.sum().value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# https://github.com/scikit-hep/hist/blob/main/src/hist/plot.py\n",
    "\n",
    "D_cl = D[ntracks_cut::sum,cl_cut:]\n",
    "D_exp_cl = D_exp[:ntracks_cut:sum,cl_cut:]\n",
    "_ = D_cl.plot_ratio(D_exp_cl,\n",
    "                    rp_num_label='D',\n",
    "                    rp_denom_label='$D_{exp}$')"
   ]
  }
 ],
 "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": "3.10.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}