Built on

Huilin Qu and Loukas Gouskos, “ParticleNet: Jet Tagging via Particle Clouds,” Phys. Rev. D101
Original
1902
Earlier work this paper cites.
Anja Butter et al. , “The Machine Learning Landscape of Top Taggers,” SciPost Phys. 7
Original
1902
Earlier work this paper cites.
Amit Chakraborty, Sung Hak Lim, and Mihoko M. Nojiri, “Interpretable deep learning for two-prong jet classification with jet spectra,” JHEP 07
Original
1904
Earlier work this paper cites.
Anders Andreassen, Ilya Feige, Christopher Frye, and Matthew D. Schwartz, “Binary JUNIPR: an interpretable probabilistic model for discrimination,” Phys. Rev. Lett. 123
Original
1906
Earlier work this paper cites.
H. Hadwiger, “Integralsätze im konvexring,” Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 20
1956
Earlier work this paper cites.
S. Catani, Yuri L. Dokshitzer, M. H. Seymour, and B. R. Webber, “Longitudinally invariant K t K_{t} clustering algorithms for hadron hadron collisions,” Nucl. Phys. B406
1993
Earlier work this paper cites.
Stephen D. Ellis and Davison E. Soper, “Successive combination jet algorithm for hadron collisions,” Phys. Rev. D48
1993
Earlier work this paper cites.
Daniel A. Klain, “A short proof of hadwiger’s characterization theorem,” Mathematika 42
1995
Earlier work this paper cites.
Innchyn Her, “Geometric transformations on the hexagonal grid,” IEEE Transactions on Image Processing 4
1995
Earlier work this paper cites.
K. R. Mecke, “Morphological characterization of patterns in reaction-diffusion systems,” Phys. Rev. E 53
1996
Earlier work this paper cites.
Fyodor V. Tkachov, “Measuring multi - jet structure of hadronic energy flow or What is a jet?” Int. J. Mod. Phys. A12
1997
Earlier work this paper cites.
Amit Chakraborty, Sung Hak Lim, Mihoko M. Nojiri, and Michihisa Takeuchi, “Neural Network-based Top Tagger with Two-Point Energy Correlations and Geometry of Soft Emissions,” JHEP 07
Original
2003
Earlier work this paper cites.
Ning Xie, Gabrielle Ras, Marcel van Gerven, and Derek Doran, “Explainable deep learning: A field guide for the uninitiated,” (2020), arXiv:2004.14545 [cs.LG]
Original
2004
Earlier work this paper cites.
Lingfeng Li, Tao Liu, and Si-Jun Xu, “Jet Topology,” (2020), arXiv:2006.12446 [hep-ph]
Original
2006
Earlier work this paper cites.
Elias Bernreuther, Thorben Finke, Felix Kahlhoefer, Michael Krämer, and Alexander Mück, “Casting a graph net to catch dark showers,” SciPost Phys. 10
Original
2006
Earlier work this paper cites.
Matteo Cacciari and Gavin P. Salam, “Dispelling the N 3 N^{3} myth for the k t k_{t} jet-finder,” Phys. Lett. B641
2006
Earlier work this paper cites.
Matthew J. Strassler and Kathryn M. Zurek, “Echoes of a hidden valley at hadron colliders,” Phys. Lett. B 651
2007
Earlier work this paper cites.
Jonathan M. Butterworth, Adam R. Davison, Mathieu Rubin, and Gavin P. Salam, “Jet substructure as a new Higgs search channel at the LHC,” Phys. Rev. Lett. 100
Original
2008
Earlier work this paper cites.
M. Bahr et al. , “Herwig++ Physics and Manual,” Eur. Phys. J. C58
Original
2008
Earlier work this paper cites.
Hubert Mantz, Karin Jacobs, and Klaus Mecke, “Utilizing minkowski functionals for image analysis: a marching square algorithm,” Journal of Statistical Mechanics: Theory and Experiment 2008
2008
Earlier work this paper cites.
Stephen D. Ellis, Christopher K. Vermilion, and Jonathan R. Walsh, “Techniques for improved heavy particle searches with jet substructure,” Phys. Rev. D80
Original
2009
Earlier work this paper cites.

Similar

Sascha Diefenbacher, Engin Eren, Gregor Kasieczka, Anatolii Korol, Benjamin Nachman, and David Shih, “DCTRGAN: Improving the Precision of Generative Models with Reweighting,” JINST 15
Original
2009
Cited alongside, same era.
David Krohn, Jesse Thaler, and Lian-Tao Wang, “Jet Trimming,” JHEP 02
Original
2010
Cited alongside, same era.
Stephen D. Ellis, Christopher K. Vermilion, and Jonathan R. Walsh, “Recombination Algorithms and Jet Substructure: Pruning as a Tool for Heavy Particle Searches,” Phys. Rev. D81
Original
2010
Cited alongside, same era.
Dominique Attali and André Lieutier, “Reconstructing shapes with guarantees by unions of convex sets,” in Proceedings of the Twenty-Sixth Annual Symposium on Computational Geometry , SoCG ’10 (Association for Computing Machinery, New York, NY, USA, 2010) p. 344–353
2010
Cited alongside, same era.

Then

Torbjörn Sjöstrand, Stefan Ask, Jesper R. Christiansen, Richard Corke, Nishita Desai, Philip Ilten, Stephen Mrenna, Stefan Prestel, Christine O. Rasmussen, and Peter Z. Skands, “An Introduction to PYTHIA 8.2,” Comput. Phys. Commun. 191
Original
2015
Later among the works it cites.
François Chollet et al. , “Keras,” https://keras.io (2015)
2015
Later among the works it cites.
Martín Abadi, Ashish Agarwal, Paul Barham, Eugene Brevdo, Zhifeng Chen, Craig Citro, Greg S. Corrado, Andy Davis, Jeffrey Dean, Matthieu Devin, Sanjay Ghemawat, Ian Goodfellow, Andrew Harp, Geoffrey Irving, Michael Isard, Yangqing Jia, Rafal Jozefowicz, Lukasz Kaiser, Manjunath Kudlur, Josh Levenberg, Dandelion Mané, Rajat Monga, Sherry Moore, Derek Murray, Chris Olah, Mike Schuster, Jonathon Shlens, Benoit Steiner, Ilya Sutskever, Kunal Talwar, Paul Tucker, Vincent Vanhoucke, Vijay Vasudevan, Fernanda Viégas, Oriol Vinyals, Pete Warden, Martin Wattenberg, Martin Wicke, Yuan Yu, and Xiaoqiang Zheng, “TensorFlow: Large-scale machine learning on heterogeneous systems,” https://www.tensorflow.org/ (2015), software available from tensorflow.org
2015
Later among the works it cites.

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2020

Morphology for Jet Classification

Lim, Sung Hak, Nojiri, Mihoko M.

Understand

We introduce a jet tagger based on a neural network analyzing the Minkowski Functionals (MFs) of pixellated jet images.

The MFs are geometric measures of binary images, and they can be regarded as a generalization of the particle multiplicity, which is an important quantity in jet tagging.
Their changes by dilation encode the jet constituents' geometric structures that appear at various angular scales.
We explicitly show that this analysis using the MFs together with mathematical morphology can be considered a constrained convolutional neural network (CNN).

Built on

Huilin Qu and Loukas Gouskos, “ParticleNet: Jet Tagging via Particle Clouds,” Phys. Rev. D101
Original
1902
Earlier work this paper cites.
Anja Butter et al. , “The Machine Learning Landscape of Top Taggers,” SciPost Phys. 7
Original
1902
Earlier work this paper cites.
Amit Chakraborty, Sung Hak Lim, and Mihoko M. Nojiri, “Interpretable deep learning for two-prong jet classification with jet spectra,” JHEP 07
Original
1904
Earlier work this paper cites.
Anders Andreassen, Ilya Feige, Christopher Frye, and Matthew D. Schwartz, “Binary JUNIPR: an interpretable probabilistic model for discrimination,” Phys. Rev. Lett. 123
Original
1906
Earlier work this paper cites.
H. Hadwiger, “Integralsätze im konvexring,” Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 20
1956
Earlier work this paper cites.
S. Catani, Yuri L. Dokshitzer, M. H. Seymour, and B. R. Webber, “Longitudinally invariant K t K_{t} clustering algorithms for hadron hadron collisions,” Nucl. Phys. B406
1993
Earlier work this paper cites.
Stephen D. Ellis and Davison E. Soper, “Successive combination jet algorithm for hadron collisions,” Phys. Rev. D48
1993
Earlier work this paper cites.
Daniel A. Klain, “A short proof of hadwiger’s characterization theorem,” Mathematika 42
1995
Earlier work this paper cites.
Innchyn Her, “Geometric transformations on the hexagonal grid,” IEEE Transactions on Image Processing 4
1995
Earlier work this paper cites.
K. R. Mecke, “Morphological characterization of patterns in reaction-diffusion systems,” Phys. Rev. E 53
1996
Earlier work this paper cites.
Fyodor V. Tkachov, “Measuring multi - jet structure of hadronic energy flow or What is a jet?” Int. J. Mod. Phys. A12
1997
Earlier work this paper cites.
Amit Chakraborty, Sung Hak Lim, Mihoko M. Nojiri, and Michihisa Takeuchi, “Neural Network-based Top Tagger with Two-Point Energy Correlations and Geometry of Soft Emissions,” JHEP 07
Original
2003
Earlier work this paper cites.
Ning Xie, Gabrielle Ras, Marcel van Gerven, and Derek Doran, “Explainable deep learning: A field guide for the uninitiated,” (2020), arXiv:2004.14545 [cs.LG]
Original
2004
Earlier work this paper cites.
Lingfeng Li, Tao Liu, and Si-Jun Xu, “Jet Topology,” (2020), arXiv:2006.12446 [hep-ph]
Original
2006
Earlier work this paper cites.
Elias Bernreuther, Thorben Finke, Felix Kahlhoefer, Michael Krämer, and Alexander Mück, “Casting a graph net to catch dark showers,” SciPost Phys. 10
Original
2006
Earlier work this paper cites.
Matteo Cacciari and Gavin P. Salam, “Dispelling the N 3 N^{3} myth for the k t k_{t} jet-finder,” Phys. Lett. B641
2006
Earlier work this paper cites.
Matthew J. Strassler and Kathryn M. Zurek, “Echoes of a hidden valley at hadron colliders,” Phys. Lett. B 651
2007
Earlier work this paper cites.
Jonathan M. Butterworth, Adam R. Davison, Mathieu Rubin, and Gavin P. Salam, “Jet substructure as a new Higgs search channel at the LHC,” Phys. Rev. Lett. 100
Original
2008
Earlier work this paper cites.
M. Bahr et al. , “Herwig++ Physics and Manual,” Eur. Phys. J. C58
Original
2008
Earlier work this paper cites.
Hubert Mantz, Karin Jacobs, and Klaus Mecke, “Utilizing minkowski functionals for image analysis: a marching square algorithm,” Journal of Statistical Mechanics: Theory and Experiment 2008
2008
Earlier work this paper cites.
Stephen D. Ellis, Christopher K. Vermilion, and Jonathan R. Walsh, “Techniques for improved heavy particle searches with jet substructure,” Phys. Rev. D80
Original
2009
Earlier work this paper cites.

Similar

Sascha Diefenbacher, Engin Eren, Gregor Kasieczka, Anatolii Korol, Benjamin Nachman, and David Shih, “DCTRGAN: Improving the Precision of Generative Models with Reweighting,” JINST 15
Original
2009
Cited alongside, same era.
David Krohn, Jesse Thaler, and Lian-Tao Wang, “Jet Trimming,” JHEP 02
Original
2010
Cited alongside, same era.
Stephen D. Ellis, Christopher K. Vermilion, and Jonathan R. Walsh, “Recombination Algorithms and Jet Substructure: Pruning as a Tool for Heavy Particle Searches,” Phys. Rev. D81
Original
2010
Cited alongside, same era.
Dominique Attali and André Lieutier, “Reconstructing shapes with guarantees by unions of convex sets,” in Proceedings of the Twenty-Sixth Annual Symposium on Computational Geometry , SoCG ’10 (Association for Computing Machinery, New York, NY, USA, 2010) p. 344–353
2010
Cited alongside, same era.

Then

Torbjörn Sjöstrand, Stefan Ask, Jesper R. Christiansen, Richard Corke, Nishita Desai, Philip Ilten, Stephen Mrenna, Stefan Prestel, Christine O. Rasmussen, and Peter Z. Skands, “An Introduction to PYTHIA 8.2,” Comput. Phys. Commun. 191
Original
2015
Later among the works it cites.
François Chollet et al. , “Keras,” https://keras.io (2015)
2015
Later among the works it cites.
Martín Abadi, Ashish Agarwal, Paul Barham, Eugene Brevdo, Zhifeng Chen, Craig Citro, Greg S. Corrado, Andy Davis, Jeffrey Dean, Matthieu Devin, Sanjay Ghemawat, Ian Goodfellow, Andrew Harp, Geoffrey Irving, Michael Isard, Yangqing Jia, Rafal Jozefowicz, Lukasz Kaiser, Manjunath Kudlur, Josh Levenberg, Dandelion Mané, Rajat Monga, Sherry Moore, Derek Murray, Chris Olah, Mike Schuster, Jonathon Shlens, Benoit Steiner, Ilya Sutskever, Kunal Talwar, Paul Tucker, Vincent Vanhoucke, Vijay Vasudevan, Fernanda Viégas, Oriol Vinyals, Pete Warden, Martin Wattenberg, Martin Wicke, Yuan Yu, and Xiaoqiang Zheng, “TensorFlow: Large-scale machine learning on heterogeneous systems,” https://www.tensorflow.org/ (2015), software available from tensorflow.org
2015
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Jesse Thaler and Ken Van Tilburg, “Identifying Boosted Objects with N-subjettiness,” JHEP 03

Original

2011

Cited alongside, same era.

Jason Gallicchio and Matthew D. Schwartz, “Quark and Gluon Tagging at the LHC,” Phys. Rev. Lett. 107

Original

2011

Cited alongside, same era.

Lisa Carloni, Johan Rathsman, and Torbjorn Sjostrand, “Discerning Secluded Sector gauge structures,” JHEP 04

Original

2011

Cited alongside, same era.

Richard Corke and Torbjorn Sjostrand, “Interleaved Parton Showers and Tuning Prospects,” JHEP 03

Original

2011

Cited alongside, same era.

Tom Leinster, “Integral geometry for the 1-norm,” Advances in Applied Mathematics 49

Original

2012

Cited alongside, same era.

Mrinal Dasgupta, Alessandro Fregoso, Simone Marzani, and Gavin P. Salam, “Towards an understanding of jet substructure,” JHEP 09

Original

2013

Cited alongside, same era.

Andrew J. Larkoski, Gavin P. Salam, and Jesse Thaler, “Energy Correlation Functions for Jet Substructure,” JHEP 06

Original

2013

Cited alongside, same era.

D. Göring, M.A. Klatt, C. Stegmann, and K. Mecke, “Morphometric analysis in gamma-ray astronomy using Minkowski functionals - Source detection via structure quantification,” Astron. Astrophys. 555

Original

2013

Cited alongside, same era.

Geoffrey Hinton, Oriol Vinyals, and Jeff Dean, “Distilling the knowledge in a neural network,” (2015), arXiv:1503.02531 [stat.ML]

Original

2015