{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## EMD Demo\n", "\n", "[EnergyFlow website](https://energyflow.network)\n", "\n", "In this tutorial, we demonstrate how to compute EMD values for particle physics events. The core of the computation is done using the [Python Optimal Transport](https://pot.readthedocs.io) library with EnergyFlow providing a convenient interface to particle physics events. Batching functionality is also provided using the builtin multiprocessing library to distribute computations to worker processes.\n", "\n", "### Energy Mover's Distance\n", "\n", "The Energy Mover's Distance was introduced in [1902.02346](https://arxiv.org/abs/1902.02346) as a metric between particle physics events. Closely related to the Earth Mover's Distance, the EMD solves an optimal transport problem between two distributions of energy (or transverse momentum), and the associated distance is the \"work\" required to transport supply to demand according to the resulting flow. Mathematically, we have\n", "$$\\text{EMD}(\\mathcal E, \\mathcal E') = \\min_{\\{f_{ij}\\ge0\\}}\\sum_{ij} f_{ij} \\frac{\\theta_{ij}}{R} + \\left|\\sum_i E_i - \\sum_j E'_j\\right|,$$\n", "$$\\sum_{j} f_{ij} \\le E_i,\\,\\,\\, \\sum_i f_{ij} \\le E'_j,\\,\\,\\,\\sum_{ij}f_{ij}= \\min\\Big(\\sum_iE_i,\\,\\sum_jE'_j\\Big).$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "\n", "import energyflow as ef" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot Style" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "plt.rcParams['figure.figsize'] = (4,4)\n", "plt.rcParams['figure.dpi'] = 120\n", "plt.rcParams['font.family'] = 'serif'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Load EnergyFlow Quark/Gluon Jet Samples" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# load quark and gluon jets\n", "X, y = ef.qg_jets.load(2000, pad=False)\n", "num = 750\n", "\n", "# the jet radius for these jets\n", "R = 0.4\n", "\n", "# process jets\n", "Gs, Qs = [], []\n", "for arr,events in [(Gs, X[y==0]), (Qs, X[y==1])]:\n", " for i,x in enumerate(events):\n", " if i >= num:\n", " break\n", "\n", " # ignore padded particles and removed particle id information\n", " x = x[x[:,0] > 0,:3]\n", "\n", " # center jet according to pt-centroid\n", " yphi_avg = np.average(x[:,1:3], weights=x[:,0], axis=0)\n", " x[:,1:3] -= yphi_avg\n", "\n", " # mask out any particles farther than R=0.4 away from center (rare)\n", " x = x[np.linalg.norm(x[:,1:3], axis=1) <= R]\n", "\n", " # add to list\n", " arr.append(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Event Display with EMD Flow" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 463, "width": 474 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# choose interesting events\n", "ev0, ev1 = Gs[0], Gs[15]\n", "\n", "# calculate the EMD and the optimal transport flow\n", "R = 0.4\n", "emdval, G = ef.emd.emd(ev0, ev1, R=R, return_flow=True)\n", "\n", "# plot the two events\n", "colors = ['red', 'blue']\n", "labels = ['Gluon Jet 1', 'Gluon Jet 2']\n", "for i,ev in enumerate([ev0, ev1]):\n", " pts, ys, phis = ev[:,0], ev[:,1], ev[:,2]\n", " plt.scatter(ys, phis, marker='o', s=2*pts, color=colors[i], lw=0, zorder=10, label=labels[i])\n", " \n", "# plot the flow\n", "mx = G.max()\n", "xs, xt = ev0[:,1:3], ev1[:,1:3]\n", "for i in range(xs.shape[0]):\n", " for j in range(xt.shape[0]):\n", " if G[i, j] > 0:\n", " plt.plot([xs[i, 0], xt[j, 0]], [xs[i, 1], xt[j, 1]],\n", " alpha=G[i, j]/mx, lw=1.25, color='black')\n", "\n", "# plot settings\n", "plt.xlim(-R, R); plt.ylim(-R, R)\n", "plt.xlabel('Rapidity'); plt.ylabel('Azimuthal Angle')\n", "plt.xticks(np.linspace(-R, R, 5)); plt.yticks(np.linspace(-R, R, 5))\n", "\n", "plt.text(0.6, 0.03, 'EMD: {:.1f} GeV'.format(emdval), fontsize=10, transform=plt.gca().transAxes)\n", "plt.legend(loc=(0.1, 1.0), frameon=False, ncol=2, handletextpad=0)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Intrinsic Dimension of Quark and Gluon Jets" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The correlation dimension of a dataset is a type of fractal dimension which quantifies the dimensionality of the space of events at different energy scales $Q$.\n", "\n", "It is motivated by the fact that the number of neighbors a point has in a ball of radius $Q$ grows as $Q^\\mathrm{dim}$, giving rise to the definition:\n", "\n", "$$ \\dim (Q) = Q\\frac{\\partial}{\\partial Q} \\ln \\sum_{i 0], bins=bins)[0])\n", " dims.append((np.log(counts[1:] + reg) - np.log(counts[:-1] + reg))/dmidbins)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 442, "width": 449 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the correlation dimensions\n", "plt.plot(midbins2, dims[0], '-', color='blue', label='Quarks')\n", "plt.plot(midbins2, dims[1], '-', color='red', label='Gluons')\n", "\n", "# labels\n", "plt.legend(loc='center right', frameon=False)\n", "\n", "# plot style\n", "plt.xscale('log')\n", "plt.xlabel('Energy Scale Q/pT'); plt.ylabel('Correlation Dimension')\n", "plt.xlim(0.02, 1); plt.ylim(0, 5)\n", "\n", "plt.show()" ] } ], "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }