Learning Particle Physics by Example: Location-Aware Generative Adversarial Networks for Physics Synthesis

We provide a bridge between generative modeling in the Machine Learning community and simulated physical processes in high energy particle physics by applying a novel Generative Adversarial Network (GAN) architecture to the production of jet images—2D representations of energy depositions from particles interacting with a calorimeter. We propose a simple architecture, the Location-Aware Generative Adversarial Network, that learns to produce realistic radiation patterns from simulated high energy particle collisions. The pixel intensities of GAN-generated images faithfully span over many orders of magnitude and exhibit the desired low-dimensional physical properties (i.e., jet mass, n-subjettiness, etc.). We shed light on limitations, and provide a novel empirical validation of image quality and validity of GAN-produced simulations of the natural world. This work provides a base for further explorations of GANs for use in faster simulation in high energy particle physics.

[1]  S. Mrenna,et al.  Pythia 6.3 physics and manual , 2003, hep-ph/0308153.

[2]  A. Dell'Acqua,et al.  Geant4 - A simulation toolkit , 2003 .

[3]  Leonidas J. Guibas,et al.  The Earth Mover's Distance as a Metric for Image Retrieval , 2000, International Journal of Computer Vision.

[4]  Marcelino B. Santos,et al.  CMS Physics : Technical Design Report Volume 1: Detector Performance and Software , 2006 .

[5]  M. Cacciari,et al.  The anti-$k_t$ jet clustering algorithm , 2008, 0802.1189.

[6]  João Paulo Teixeira,et al.  The CMS experiment at the CERN LHC , 2008 .

[7]  M. Cacciari,et al.  The Catchment Area of Jets , 2008, 0802.1188.

[8]  Peter Skands,et al.  A brief introduction to PYTHIA 8.1 , 2007, Comput. Phys. Commun..

[9]  Keith Edmonds,et al.  The fast ATLAS track simulation (FATRAS) , 2008 .

[10]  Lian-tao Wang,et al.  Jet trimming , 2009, 0912.1342.

[11]  J. T. Childers,et al.  The ATLAS Simulation Infrastructure , 2010, 1005.4568.

[12]  M. Beckingham,et al.  The simulation principle and performance of the ATLAS fast calorimeter simulation FastCaloSim , 2010 .

[13]  Florian Beaudette,et al.  The Fast Simulation of the CMS Detector at LHC , 2011 .

[14]  Anna Zilnyk A brief introduction to… , 2011 .

[15]  M. Cacciari,et al.  FastJet user manual , 2011, 1111.6097.

[16]  J. Thaler,et al.  Identifying boosted objects with N-subjettiness , 2010, 1011.2268.

[17]  Andrew L. Maas Rectifier Nonlinearities Improve Neural Network Acoustic Models , 2013 .

[18]  Simon Osindero,et al.  Conditional Generative Adversarial Nets , 2014, ArXiv.

[19]  D. Neill,et al.  Jet shapes with the broadening axis , 2014, 1401.2158.

[20]  J. Cogan,et al.  Jet-images: computer vision inspired techniques for jet tagging , 2014, 1407.5675.

[21]  John Taylor Childers,et al.  Simulation of LHC events on a millions threads , 2015 .

[22]  Sergey Ioffe,et al.  Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shift , 2015, ICML.

[23]  Luke de Oliveira,et al.  Jet-images — deep learning edition , 2015, Journal of High Energy Physics.

[24]  Leandro Giordano Almeida,et al.  Playing tag with ANN: boosted top identification with pattern recognition , 2015, 1501.05968.

[25]  Jimmy Ba,et al.  Adam: A Method for Stochastic Optimization , 2014, ICLR.

[26]  Ian J. Goodfellow,et al.  On distinguishability criteria for estimating generative models , 2014, ICLR.

[27]  Patrick T. Komiske,et al.  Deep learning in color: towards automated quark/gluon jet discrimination , 2016, Journal of High Energy Physics.

[28]  Pieter Abbeel,et al.  InfoGAN: Interpretable Representation Learning by Information Maximizing Generative Adversarial Nets , 2016, NIPS.

[29]  Wojciech Zaremba,et al.  Improved Techniques for Training GANs , 2016, NIPS.

[30]  P. Baldi,et al.  Jet Substructure Classification in High-Energy Physics with Deep Neural Networks , 2016, 1603.09349.

[31]  Bernt Schiele,et al.  Generative Adversarial Text to Image Synthesis , 2016, ICML.

[32]  Soumith Chintala,et al.  Unsupervised Representation Learning with Deep Convolutional Generative Adversarial Networks , 2015, ICLR.

[33]  Augustus Odena,et al.  Semi-Supervised Learning with Generative Adversarial Networks , 2016, ArXiv.

[34]  Bernt Schiele,et al.  Learning What and Where to Draw , 2016, NIPS.

[35]  Luke de Oliveira,et al.  Pythia Generated Jet Images for Location Aware Generative Adversarial Network Training , 2017 .

[36]  Dimitris N. Metaxas,et al.  StackGAN: Text to Photo-Realistic Image Synthesis with Stacked Generative Adversarial Networks , 2016, 2017 IEEE International Conference on Computer Vision (ICCV).

[37]  Jonathon Shlens,et al.  Conditional Image Synthesis with Auxiliary Classifier GANs , 2016, ICML.

[38]  E. Dawe,et al.  Parton Shower Uncertainties in Jet Substructure Analyses with Deep Neural Networks , 2016, 1609.00607.