{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# pyBumpHunter : A BumpHunting tool in python\n", "\n", "**presenter : Louis VASLIN - Université Clermont Auvergne** \n", "LPC/IN2P3\n", "\n", " \n", "\n", "[Link to github](https://github.com/scikit-hep/pyBumpHunter) \n", "[Link to PyPI](https://pypi.org/project/pyBumpHunter/) \n", "[Link to Scikit-HEP](https://scikit-hep.org/)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pyBumpHunter as BH\n", "import matplotlib.pyplot as plt\n", "from matplotlib import colors as mcl" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The BumpHunter algorithm\n", "\n", "### Principle\n", "\n", "* Look for an **excess** (or deficit) in a **data** distribution w.r.t. a **reference background**. \n", "* Compute the **local** and **global p-value** of the **localized deviation** found in data.\n", "\n", "The \"*bump hunt*\" is done using **histograms**\n", "\n", "\n", "\n", "This package is inspired by the original BumpHunter algorithm described in [arXiv:1101.0390](https://arxiv.org/abs/1101.0390)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Global p-value\n", "\n", "BumpHunter **generates toys** from the reference and scans them like data.\n", "\n", "This will give a **background-only** local p-value distribution.\n", "\n", "\n", "\n", "The **global p-value** is then *the p-value of the local p-values*. \n", "t = -ln(local p-value) <- BumpHunter test statistic" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Why do we need pyBumpHunter ?\n", "\n", "**Model agnostic** bump hunt \n", "Don't need any signal model\n", "\n", "Possibility to use **data driven reference background** \n", "See Ioan's talk\n", "\n", "Pure python based (don't need any ROOT setup to work)\n", "\n", "Code available on github (see links above)\n", "\n", "The toolwss presented at **PyHEP** last July ([link](https://indico.cern.ch/event/1019958/overview)) \n", "It has also been integrated in **Scikit-HEP**\n", "\n", "A paper presenting the tool and some test of all the features is in preparation is in preparation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Features proposed in pyBumpHunter\n", "\n", "* ### Simple scans\n", "\n", "\n", "* ### 2D scans \n", "Extension of the algorithm to 2D histograms\n", "\n", "\n", "* ### Signal injection test (1D) \n", "To test sensitivity to a given signal model\n", "\n", "\n", "* ### Side-band normalization \n", "To scale the reference background down to the data\n", "\n", "\n", "* ### Multi-channel combination (*coming soon*) \n", "To get a combined local and global p-value over several channels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1D scan\n", "\n", "Follow the basic BumpHunter algorithm \n", "Give the position and width of the bump, as well as the local and global p-value. \n", "Also give a *rough* evaluation of the signal content of the bump (data - ref)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Generate some background and data\n", "np.random.seed(42)\n", "bkg = np.random.exponential(scale=8.0, size=1_000_000)\n", "data = np.random.exponential(scale=8.0, size=500_000)\n", "data = np.append(\n", " data,\n", " np.random.normal(loc=20, scale=2.5, size=900)\n", ")\n", "rng = [0,70]\n", "\n", "# Make histograms\n", "bkg_hist, bins = np.histogram(bkg, bins=50, range=rng)\n", "bkg_hist = bkg_hist * 1/2\n", "data_hist, _ = np.histogram(data, bins=bins)\n", "\n", "# Plot the distributions\n", "F = plt.figure(figsize=(12,8))\n", "plt.title('Example distributions', size='xx-large')\n", "plt.hist(bins[:-1], bins=bins, weights=bkg_hist, histtype='step', lw=2, label='reference background')\n", "plt.hist(bins[:-1], bins=bins, weights=data_hist, histtype='step', lw=2, label='observed data')\n", "plt.legend(fontsize='x-large')\n", "plt.xticks(fontsize='x-large')\n", "plt.yticks(fontsize='x-large')\n", "plt.xlabel('variable',size='x-large')\n", "plt.ylabel('Event count',size='x-large')\n", "plt.yscale('log')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Generating histograms\n", "4 values of width will be tested\n", "SCAN\n", "Global p-value : 0.0045 (45 / 10000)\n", "Significance = 2.61205\n", "\n", "##.print_bump_info() call##\n", "BUMP WINDOW\n", " loc = 13\n", " width = 2\n", " local p-value | t = 0.00004 | 10.12585\n", "\n", "##.print_bump_true() call##\n", "BUMP POSITION\n", " min : 18.200\n", " max : 21.000\n", " mean : 19.600\n", " width : 2.800\n", " number of signal events : 486.0\n", " global p-value : 0.00450\n", " significance = 2.61205\n", "\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Create a BumpHunter1D instance\n", "bh1 = BH.BumpHunter1D(\n", " width_min=2,\n", " width_max=5,\n", " width_step=1,\n", " scan_step=1,\n", " bins=bins,\n", " rang=rng,\n", " npe=10_000,\n", " nworker=1,\n", " seed=666\n", ")\n", "\n", "# Call the scan method\n", "bh1.bump_scan(data_hist, bkg_hist, is_hist=True)\n", "\n", "# Display results\n", "print('##.print_bump_info() call##')\n", "bh1.print_bump_info()\n", "print('##.print_bump_true() call##')\n", "bh1.print_bump_true(data_hist, bkg_hist, is_hist=True)\n", "\n", "bh1.plot_tomography(data_hist, is_hist=True)\n", "bh1.plot_bump(data_hist, bkg_hist, is_hist=True)\n", "bh1.plot_stat(show_Pval=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Signal injection\n", "\n", "Builds data based on a **reference background** and a **signal model**\n", "\n", "Performs BumpHunter scans on the injected data with increasing signal strength\n", "\n", "Stops the process once the required global significance is reached\n", "\n", "Signal strength is computed w.r.t the expected number of signal event (medel dependent)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "scrolled": true }, "outputs": [], "source": [ "# Generate some signal (normal distribution centered on 20)\n", "sig = np.random.normal(loc=20, scale=3, size=10_000)\n", "sig_hist, _ = np.histogram(sig, bins=bins)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Generating background only histograms\n", "4 values of width will be tested\n", "BACKGROUND ONLY SCAN\n", "STARTING INJECTION\n", " STEP 1 : signal strength = 0.1\n", "Generating background+signal histograms\n", "BACKGROUND+SIGNAL SCAN\n", "Global p-value : 0.0457 (457 / 10000) 0.0811 (811) 0.0146 (146)\n", "Significance = 1.68806 (1.39771 2.18078)\n", "\n", " STEP 2 : signal strength = 0.2\n", "Generating background+signal histograms\n", "BACKGROUND+SIGNAL SCAN\n", "Global p-value : 0.0396 (396 / 10000) 0.0743 (743) 0.0111 (111)\n", "Significance = 1.75535 (1.44449 2.28693)\n", "\n", " STEP 3 : signal strength = 0.30000000000000004\n", "Generating background+signal histograms\n", "BACKGROUND+SIGNAL SCAN\n", "Global p-value : 0.0317 (317 / 10000) 0.0694 (694) 0.0067 (67)\n", "Significance = 1.85638 (1.48027 2.47296)\n", "\n", " STEP 4 : signal strength = 0.4\n", "Generating background+signal histograms\n", "BACKGROUND+SIGNAL SCAN\n", "Global p-value : 0.0232 (232 / 10000) 0.0616 (616) 0.0049 (49)\n", "Significance = 1.99174 (1.54148 2.58281)\n", "\n", " STEP 5 : signal strength = 0.5\n", "Generating background+signal histograms\n", "BACKGROUND+SIGNAL SCAN\n", "Global p-value : 0.0153 (153 / 10000) 0.0511 (511) 0.0021 (21)\n", "Significance = 2.16224 (1.63428 2.86274)\n", "\n", " STEP 6 : signal strength = 0.6\n", "Generating background+signal histograms\n", "BACKGROUND+SIGNAL SCAN\n", "Global p-value : 0.0075 (75 / 10000) 0.0376 (376) 0.0006 (6)\n", "Significance = 2.43238 (1.77924 3.23888)\n", "\n", " STEP 7 : signal strength = 0.7\n", "Generating background+signal histograms\n", "BACKGROUND+SIGNAL SCAN\n", "Global p-value : 0.0044 (44 / 10000) 0.0265 (265) 0.0002 (2)\n", "Significance = 2.61973 (1.93492 3.54008)\n", "\n", " STEP 8 : signal strength = 0.7999999999999999\n", "Generating background+signal histograms\n", "BACKGROUND+SIGNAL SCAN\n", "Global p-value : 0.0012 (12 / 10000) 0.0143 (143) 0.0000 (0)\n", "Significance = 3.03567 (2.18896 7.94144)\n", "\n", "REACHED SIGMA LIMIT\n", " Number of signal event injected : 799.9999999999999\n", " Signal strength : 0.8000\n", "\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Set the expected number of signal event\n", "bh1.signal_exp = 1000\n", "\n", "# Set the injection parameters\n", "bh1.str_min = 0.1\n", "bh1.str_step = 0.1\n", "bh1.str_scale = 'lin'\n", "bh1.sigma_limit = 3 # Injection stops when we reach 3 sigma global\n", "\n", "# Call the injection method\n", "bh1.signal_inject(sig_hist, bkg_hist, is_hist=True)\n", "\n", "# Display results\n", "bh1.plot_inject()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Error bars obtained with background+signal toys \n", "Points represent the medians and error bars the 1st and 3rd quartiles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2D scan\n", "\n", "Works the same way as in 1D, but with 2D hitograms\n", "\n", "Be carfull with the statistics ... in 2D the stat per bin is lower" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Generate some background and data\n", "np.random.seed(42)\n", "bkg = np.random.exponential(scale=8.0, size=(900_000,2))\n", "data = np.random.exponential(scale=8.0, size=(500_000,2))\n", "data = np.append(\n", " data,\n", " np.random.normal(loc=20, scale=1.5, size=(150,2)),\n", " axis=0\n", ")\n", "rng = [[0,40], [0,40]]\n", "\n", "# Make histograms\n", "bkg_hist, binx, biny = np.histogram2d(bkg[:,0],bkg[:,1], bins=20, range=rng)\n", "bkg_hist = bkg_hist * 5/9\n", "data_hist, _, _ = np.histogram2d(data[:,0], data[:,1], bins=[binx,biny])\n", "\n", "# Plot the data distribution\n", "F = plt.figure(figsize=(12,10))\n", "plt.title('Data 2D distribution', size='xx-large')\n", "plt.hist2d(data[:,0], data[:,1], bins=[binx,biny], norm=mcl.LogNorm())\n", "plt.plot([20], [20], 'rx', ms=10, mew=3)\n", "plt.colorbar()\n", "plt.xticks(fontsize='x-large')\n", "plt.yticks(fontsize='x-large')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Generating histograms\n", "4 values of width will be tested\n", "SCAN\n", "Global p-value : 0.0015 (9 / 6000)\n", "Significance = 2.96774\n", "\n", "##.print_bump_info() call##\n", "BUMP WINDOW\n", " loc = [9, 9]\n", " width = [3, 2]\n", " local p-value | t = 0.00000 | 13.14360\n", "\n", "##.print_bump_true() call##\n", "BUMP POSITION\n", " min : [18.000, 18.000]\n", " max : [24.000, 22.000]\n", " mean : [21.000, 20.000]\n", " width : [6.000, 4.000]\n", " number of signal events : 157.77777777777783\n", " global p-value : 0.00150\n", " significance = 2.96774\n", "\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Create a BumpHunter2D instance\n", "bh2 = BH.BumpHunter2D(\n", " width_min=[2,2],\n", " width_max=[3,3],\n", " width_step=[1,1],\n", " scan_step=[1,1],\n", " bins=[binx,biny],\n", " rang=rng,\n", " npe=6_000,\n", " nworker=1,\n", " seed=666\n", ")\n", "\n", "# Call the scan method\n", "bh2.bump_scan(data_hist, bkg_hist, is_hist=True)\n", "\n", "# Display results\n", "# NOTE : There is no tomography plot in 2D\n", "print('##.print_bump_info() call##')\n", "bh2.print_bump_info()\n", "print('##.print_bump_true() call##')\n", "bh2.print_bump_true(data_hist, bkg_hist, is_hist=True)\n", "\n", "bh2.plot_bump(data_hist, bkg_hist, is_hist=True)\n", "bh2.plot_stat(show_Pval=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Side-band normalization\n", "\n", "### Principle\n", "\n", "For each tested interval, compute a **scale factor**\n", "\n", "$$\n", "scale = \\frac{Ndata_{tot}-Ndata_{inter}}{Nref_{tot}-Nref_{inter}}\n", "$$\n", "\n", "Scale factor applied to the number of background event when computing the local p-value\n", "\n", "\n", "\n", "### Objective\n", "\n", "**Normalize the reference to data** \n", "without any prior knowledge on the expected background" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Generating some background and data\n", "np.random.seed(44)\n", "bkg = np.random.exponential(scale=8.0, size=800_000)\n", "data = np.random.exponential(scale=8.0, size=500_000)\n", "data = np.append(\n", " data,\n", " np.random.normal(loc=20, scale=3, size=1200)\n", ")\n", "rng = [0,70]\n", "\n", "# Make histograms\n", "bkg_hist, bins = np.histogram(bkg, bins=50, range=rng)\n", "data_hist, _ = np.histogram(data, bins=bins)\n", "bkg_hist = np.array(bkg_hist, dtype=float)\n", "\n", "# Plot the distributions\n", "F = plt.figure(figsize=(12,8))\n", "plt.title('Example distributions', size='xx-large')\n", "plt.hist(bkg, bins=bins, histtype='step', lw=2, label='reference background')\n", "plt.hist(data, bins=bins, histtype='step', lw=2, label='observed data')\n", "plt.legend(fontsize='x-large')\n", "plt.xticks(fontsize='x-large')\n", "plt.yticks(fontsize='x-large')\n", "plt.xlabel('variable',size='x-large')\n", "plt.ylabel('Event count',size='x-large')\n", "plt.yscale('log')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Generating histograms\n", "5 values of width will be tested\n", "SCAN\n", "Global p-value : 0.0016 (16 / 10000)\n", "Significance = 2.94784\n", "\n", "##.print_bump_info() call##\n", "BUMP WINDOW\n", " loc = 12\n", " width = 6\n", " local p-value | t = 0.00000 | 16.71846\n", "\n", "##.print_bump_true() call##\n", "BUMP POSITION\n", " min : 16.800\n", " max : 25.200\n", " mean : 21.000\n", " width : 8.400\n", " number of signal events : 1064.7465312775894\n", " global p-value : 0.00160\n", " significance = 2.94784\n", "\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Create a BumpHunter1D instance\n", "bh1 = BH.BumpHunter1D(\n", " width_min=2,\n", " width_max=6,\n", " width_step=1,\n", " scan_step=1,\n", " bins=bins,\n", " rang=rng,\n", " npe=10_000,\n", " nworker=1,\n", " use_sideband=True, # Enable side-band normalization\n", " seed=666\n", ")\n", "\n", "# Call the scan method\n", "bh1.bump_scan(data_hist, bkg_hist, is_hist=True)\n", "\n", "# Display results\n", "print('##.print_bump_info() call##')\n", "bh1.print_bump_info()\n", "print('##.print_bump_true() call##')\n", "bh1.print_bump_true(data_hist, bkg_hist, is_hist=True)\n", "\n", "bh1.plot_bump(data_hist, bkg_hist, is_hist=True)\n", "bh1.plot_stat(show_Pval=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multi-channel combination (Coming soon)\n", "\n", "The **Combined bump window** is the intersection of each channel bump windows\n", "\n", "Work with channels with **different binning**\n", "\n", "\n", "\n", "**Combine local p-value** = product of all individual p-values\n", "\n", "The feature will be added in the **next release**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusion\n", "\n", "### pyBumpHunter is ready to use\n", "\n", "**pip installable** and recently integarted to **Scikit-HEP**\n", "\n", "**Many features** are already available\n", "\n", "Presentation at PyHEP (with video recording available)\n", "\n", "### Development is still ongoing\n", "\n", "**New features and improvements** will keep coming\n", "\n", "**Multi-channel combination** alomst ready for the **next release**\n", "\n", "New features planed :\n", "\n", "* API refactoring (more efficient, both for developers and users\n", "\n", "* Add treatment of **systematic uncertainties**\n", "\n", "* Anyting else that might be useful ( _**your** ideas are welcome_ )" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.9" } }, "nbformat": 4, "nbformat_minor": 2 }