Collect-Results-for-Double-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": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "config = yaml.safe_load(open(\"configs/lenet-labframe-classifier.yml\"))\n",
    "dataset = config['dataset']\n",
    "evaluation_pref = config['evaluation_pref']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "MODEL_NAME_1 = 'LeNet5-LabFrame-Double'\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 = 'LeNet5-LabFrame-DoubleB'\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": 9,
   "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": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "results_model1 = torch.tensor([])\n",
    "results_model2 = torch.tensor([])\n",
    "\n",
    "model1.eval()\n",
    "model2.eval()\n",
    "\n",
    "with torch.no_grad():\n",
    "    for images, targets, _, _ in test_loader:\n",
    "        \n",
    "        targets = tcuda.LongTensor(targets, device=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_model1 = torch.cat((results_model1, batch_results1.cpu()), 0)\n",
    "        results_model2 = torch.cat((results_model2, batch_results2.cpu()), 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy Model 1: 0.902 ± 0.002\n",
      "Accuracy Model 2: 0.890 ± 0.002\n",
      "Correlation: 0.284 ± 0.018\n"
     ]
    }
   ],
   "source": [
    "CV = 10\n",
    "\n",
    "y_true1 = results_model1[:, 0]\n",
    "y_true2 = results_model2[:, 0]\n",
    "y_pred1 = softmax(results_model1[:, 1:], 1)\n",
    "y_pred2 = softmax(results_model2[:, 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, corr = [], [], []\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",
    "    acc1.append(accuracy_score(y_true1_cv, y_pred1_cv > .5))\n",
    "    acc2.append(accuracy_score(y_true2_cv, y_pred2_cv > .5))\n",
    "\n",
    "    corr.append(pearsonr(y_pred1_cv[y_true1_cv == 0], y_pred2_cv[y_true1_cv == 0])[0])\n",
    "\n",
    "print(u'Accuracy Model 1: {0:.3f} \\u00B1 {1:.3f}'.format(np.mean(acc1), np.std(acc1)))\n",
    "print(u'Accuracy Model 2: {0:.3f} \\u00B1 {1:.3f}'.format(np.mean(acc2), np.std(acc2)))\n",
    "print(u'Correlation: {0:.3f} \\u00B1 {1:.3f}'.format(np.mean(corr), np.std(corr)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "suep_cl1 = y_pred1[y_true1 == 1]\n",
    "suep_cl2 = y_pred2[y_true1 == 1]\n",
    "\n",
    "qcd_cl1 = y_pred1[y_true1 == 0]\n",
    "qcd_cl2 = y_pred2[y_true1 == 0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
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       "<rect x=\"220.0\" y=\"-250.0\" width=\"5.0\" height=\"5.0\" opacity=\"0.00022300273178346396\" 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=\"0.00011150136589173262\" fill=\"currentColor\" stroke-width=\"0.1\"/>\n",
       "<rect x=\"235.0\" y=\"-250.0\" width=\"5.0\" height=\"5.0\" opacity=\"0.00027875341472932995\" fill=\"currentColor\" stroke-width=\"0.1\"/>\n",
       "<rect x=\"240.0\" y=\"-250.0\" width=\"5.0\" height=\"5.0\" opacity=\"0.0005575068294586599\" fill=\"currentColor\" stroke-width=\"0.1\"/>\n",
       "<rect x=\"245.0\" y=\"-250.0\" width=\"5.0\" height=\"5.0\" opacity=\"0.0020070245860511755\" fill=\"currentColor\" stroke-width=\"0.1\"/>\n",
       "</svg>\n",
       "</div>\n",
       "<div style=\"flex=grow:1;\">\n",
       "Regular(50, 0, 1, name='classifier_output_1', label='Classifier Output 1')<br/>\n",
       "Regular(50, 0, 1, name='classifier_output_2', label='Classifier Output 2')<br/>\n",
       "<hr style=\"margin-top:.2em; margin-bottom:.2em;\"/>\n",
       "Weight() Σ=WeightedSum(value=49998, variance=49998) <em>(WeightedSum(value=50000, variance=50000) with flow)</em>\n",
       "\n",
       "</div>\n",
       "</div>\n",
       "</html>"
      ],
      "text/plain": [
       "Hist(\n",
       "  Regular(50, 0, 1, name='classifier_output_1', label='Classifier Output 1'),\n",
       "  Regular(50, 0, 1, name='classifier_output_2', label='Classifier Output 2'),\n",
       "  storage=Weight()) # Sum: WeightedSum(value=49998, variance=49998) (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, 1, name=\"classifier_output_1\", label=\"Classifier Output 1\")\n",
    "    .Regular(50, 0, 1, name=\"classifier_output_2\", label=\"Classifier Output 2\")\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",
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       "<div style=\"width:290px;\">\n",
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       "<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",
       "1\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",
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       "<text text-anchor=\"middle\" x=\"125.0\" y=\"13\" style=\"fill:currentColor;\">\n",
       "Classifier Output 1\n",
       "</text>\n",
       "<text text-anchor=\"middle\" x=\"-10\" y=\"-125.0\" transform=\"rotate(-90,-10,-125.0)\" style=\"fill:currentColor;\">\n",
       "Classifier Output 2\n",
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       "<rect x=\"225.0\" y=\"-250.0\" width=\"5.0\" height=\"5.0\" opacity=\"0.005136171966646588\" fill=\"currentColor\" stroke-width=\"0.1\"/>\n",
       "<rect x=\"230.0\" y=\"-250.0\" width=\"5.0\" height=\"5.0\" opacity=\"0.00852858184585148\" fill=\"currentColor\" stroke-width=\"0.1\"/>\n",
       "<rect x=\"235.0\" y=\"-250.0\" width=\"5.0\" height=\"5.0\" opacity=\"0.012238039377318412\" fill=\"currentColor\" stroke-width=\"0.1\"/>\n",
       "<rect x=\"240.0\" y=\"-250.0\" width=\"5.0\" height=\"5.0\" opacity=\"0.02596620272026886\" fill=\"currentColor\" stroke-width=\"0.1\"/>\n",
       "<rect x=\"245.0\" y=\"-250.0\" width=\"5.0\" height=\"5.0\" opacity=\"1.0\" fill=\"currentColor\" stroke-width=\"0.1\"/>\n",
       "</svg>\n",
       "</div>\n",
       "<div style=\"flex=grow:1;\">\n",
       "Regular(50, 0, 1, name='classifier_output_1', label='Classifier Output 1')<br/>\n",
       "Regular(50, 0, 1, name='classifier_output_2', label='Classifier Output 2')<br/>\n",
       "<hr style=\"margin-top:.2em; margin-bottom:.2em;\"/>\n",
       "Weight() Σ=WeightedSum(value=42752, variance=42752) <em>(WeightedSum(value=50000, variance=50000) with flow)</em>\n",
       "\n",
       "</div>\n",
       "</div>\n",
       "</html>"
      ],
      "text/plain": [
       "Hist(\n",
       "  Regular(50, 0, 1, name='classifier_output_1', label='Classifier Output 1'),\n",
       "  Regular(50, 0, 1, name='classifier_output_2', label='Classifier Output 2'),\n",
       "  storage=Weight()) # Sum: WeightedSum(value=42752, variance=42752) (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, 1, name=\"classifier_output_1\", label=\"Classifier Output 1\")\n",
    "    .Regular(50, 0, 1, name=\"classifier_output_2\", label=\"Classifier Output 2\")\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": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "ntracks_cut = 0.5j\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": 46,
   "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='$D_{exp}$')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}