Particle Cloud Generation with Message Passing Generative Adversarial Networks
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Abstract (arXiv)
In high energy physics (HEP), jets are collections of correlated particles produced ubiquitously in particle collisions such as those at the CERN Large Hadron Collider (LHC). Machine learning (ML)-based generative models, such as generative adversarial networks (GANs), have the potential to significantly accelerate LHC jet simulations. However, despite jets having a natural representation as a set of particles in momentum-space, a.k.a. a particle cloud, there exist no generative models applied to such a dataset. In this work, we introduce a new particle cloud dataset (JetNet), and apply to it existing point cloud GANs. Results are evaluated using (1) 1-Wasserstein distances between high- and low-level feature distributions, (2) a newly developed Fr'echet ParticleNet Distance, and (3) the coverage and (4) minimum matching distance metrics. Existing GANs are found to be inadequate for physics applications, hence we develop a new message passing GAN (MPGAN), which outperforms existing point cloud GANs on virtually every metric and shows promise for use in HEP. We propose JetNet as a novel point-cloud-style dataset for the ML community to experiment with, and set MPGAN as a benchmark to improve upon for future generative models. Additionally, to facilitate research and improve accessibility and reproducibility in this area, we release the open-source JetNet Python package with interfaces for particle cloud datasets, implementations for evaluation and loss metrics, and more tools for ML in HEP development.
Key facts. Cited by 45 papers in the map (data through 7 Oct 2026). Builds on 29 of its 65 references that are in the map. First posted on arXiv 22 Jun 2021.
Builds on
29 of 65 references.
References · 29
- 2015Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shiftcited by 6,979
- 2016PointNet: Deep Learning on Point Sets for 3D Classification and Segmentationcited by 5,223
- 2017Neural Message Passing for Quantum Chemistrycited by 3,460
- 2015ShapeNet: An Information-Rich 3D Model Repositorycited by 2,880
- 2017Improved Training of Wasserstein GANscited by 2,223
- 2018Dynamic Graph CNN for Learning on Point Cloudscited by 2,220
- 2018Spectral Normalization for Generative Adversarial Networkscited by 1,618
- 2020Training Generative Adversarial Networks with Limited Datacited by 1,184
- 2017Wasserstein GANcited by 635
- 2019The frontier of simulation-based inferencecited by 490
- 2019PointFlow: 3D Point Cloud Generation with Continuous Normalizing Flowscited by 487
- 2016Geometric deep learning on graphs and manifolds using mixture model CNNscited by 468
17 more
- 2020Equivariant Flows: Exact Likelihood Generative Learning for Symmetric Densitiescited by 248
- 2020Learning Gradient Fields for Shape Generationcited by 245
- 20193D Point Cloud Generative Adversarial Network Based on Tree Structured Graph Convolutionscited by 173
- 2019Symmetry-adapted generation of 3d point sets for the targeted discovery of moleculescited by 171
- 2021Pros and Cons of GAN Evaluation Measures: New Developmentscited by 121
- 2020Discrete Point Flow Networks for Efficient Point Cloud Generationcited by 87
- 2018Point Cloud GANcited by 79
- 2017CaloGAN: Simulating 3D High Energy Particle Showers in Multi-Layer Electromagnetic Calorimeters with Generative Adversarial Networkscited by 78
- 2020Image Augmentations for GAN Trainingcited by 78
- 2019ParticleNet: Jet Tagging via Particle Cloudscited by 64
- 2020Symmetry-Aware Actor-Critic for 3D Molecular Designcited by 55
- 2017Learning Particle Physics by Example: Location-Aware Generative Adversarial Networks for Physics Synthesiscited by 46
- 2015Jet-Images -- Deep Learning Editioncited by 41
- 2019Implicit competitive regularization in GANscited by 14
- 2020Simulation-based inference methods for particle physicscited by 11
- 2020Rethinking Sampling in 3D Point Cloud Generative Adversarial Networkscited by 7
- 2020Data Augmentation at the LHC through Analysis-specific Fast Simulation with Deep Learningcited by 5
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Citing papers per year: 2021: 2; 2022: 7; 2023: 19; 2024: 8; 2025: 5; 2026: 4.
45 papers.
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- 2022Particle Transformer for Jet Taggingcited by 95
- 2023CaloClouds: Fast Geometry-Independent Highly-Granular Calorimeter Simulationcited by 33
- 2022Evaluating generative models in high energy physicscited by 31
- 2023PC-JeDi: Diffusion for Particle Cloud Generation in High Energy Physicscited by 27
- 2023EPiC-GAN: Equivariant Point Cloud Generation for Particle Jetscited by 23
- 2023CaloClouds II: Ultra-Fast Geometry-Independent Highly-Granular Calorimeter Simulationcited by 20
- 2023Deep Generative Models for Detector Signature Simulation: A Taxonomic Reviewcited by 18
- 2023EPiC-ly Fast Particle Cloud Generation with Flow-Matching and Diffusioncited by 17
- 2022New directions for surrogate models and differentiable programming for High Energy Physics detector simulationcited by 16
- 2023Comparison of Point Cloud and Image-based Models for Calorimeter Fast Simulationcited by 16
- 2022Lorentz group equivariant autoencoderscited by 15
- 2024Convolutional L2LFlows: Generating Accurate Showers in Highly Granular Calorimeters Using Convolutional Normalizing Flowscited by 13
33 more
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- 2022Graph Neural Networks in Particle Physics: Implementations, Innovations, and Challengescited by 12
- 2023Attention to Mean-Fields for Particle Cloud Generationcited by 12
- 2024Locality-Sensitive Hashing-Based Efficient Point Transformer with Applications in High-Energy Physicscited by 12
- 2022Selectively increasing the diversity of GAN-generated samplescited by 9
- 2023PC-Droid: Faster diffusion and improved quality for particle cloud generationcited by 8
- 2023Flow Matching Beyond Kinematics: Generating Jets with Particle-ID and Trajectory Displacement Informationcited by 7
- 2023Diffusion map particle systems for generative modelingcited by 6
- 2024PIPPIN: Generating variable length full events from partonscited by 6
- 2025RINO: Renormalization Group Invariance with No Labelscited by 6
- 2021Multiband VAE: Latent Space Alignment for Knowledge Consolidation in Continual Learningcited by 5
- 2023Generalizing to new geometries with Geometry-Aware Autoregressive Models (GAAMs) for fast calorimeter simulationcited by 5
- 2023Machine Learning methods for simulating particle response in the Zero Degree Calorimeter at the ALICE experiment, CERNcited by 5
- 2022Do graph neural networks learn traditional jet substructure?cited by 4
- 2023Induced Generative Adversarial Particle Transformerscited by 3
- 2024Jet Discrimination with Quantum Complete Graph Neural Networkcited by 3
- 2024BUFF: Boosted Decision Tree based Ultra-Fast Flow matchingcited by 3
- 2025Evidential Deep Learning for Uncertainty Quantification and Out-of-Distribution Detection in Jet Identification using Deep Neural Networkscited by 3
- 2025ColliderML: The First Release of an OpenDataDetector High-Luminosity Physics Benchmark Datasetcited by 3
- 2023Versatile Energy-Based Probabilistic Models for High Energy Physicscited by 2
- 2023DeepTreeGANv2: Iterative Pooling of Point Cloudscited by 2
- 2024MACK: Mismodeling Addressed with Contrastive Knowledgecited by 2
- 2026Generative Models and Statistical Validationcited by 2
- 2023Differentiable Earth Mover's Distance for Data Compression at the High-Luminosity LHCcited by 1
- 2023The Optimal use of Segmentation for Sampling Calorimeterscited by 1
- 2026jBOT: Semantic Jet Representation Clustering Emerges from Self-Distillationcited by 1
- 2026CaloTrilogy: Toward a Breakthrough in One-Step, End-to-End, Physics-Guided Shower Generation for Modern Calorimeterscited by 1
- 2023Adapt & Align: Continual Learning with Generative Models Latent Space Alignmentcited by 0
- 2024Particle Multi-Axis Transformer for Jet Taggingcited by 0
- 2024Lie-Equivariant Quantum Graph Neural Networkscited by 0
- 2025Jet Image Generation in High Energy Physics Using Diffusion Modelscited by 0
- 2025Jet Image Tagging Using Deep Learning: An Ensemble Modelcited by 0
- 2026Similarity Pairing with Energy Mover's Distance for Self-Supervised Pre-Training at the LHCcited by 0
- 2026Similarity Pairing with Energy Mover's Distance for Self-Supervised Pre-Training at the LHC15 Sep 2026
- 2026CaloTrilogy: Toward a Breakthrough in One-Step, End-to-End, Physics-Guided Shower Generation for Modern Calorimeters2 Jun 2026
- 2026Generative Models and Statistical Validation28 May 2026
- 2026jBOT: Semantic Jet Representation Clustering Emerges from Self-Distillation16 Jan 2026
- 2025ColliderML: The First Release of an OpenDataDetector High-Luminosity Physics Benchmark Dataset17 Dec 2025
- 2025RINO: Renormalization Group Invariance with No Labels9 Sep 2025
- 2025Jet Image Tagging Using Deep Learning: An Ensemble Model9 Aug 2025
- 2025Jet Image Generation in High Energy Physics Using Diffusion Models1 Aug 2025
- 2025Evidential Deep Learning for Uncertainty Quantification and Out-of-Distribution Detection in Jet Identification using Deep Neural Networks10 Jan 2025
- 2024Lie-Equivariant Quantum Graph Neural Networks22 Nov 2024
- 2024MACK: Mismodeling Addressed with Contrastive Knowledge17 Oct 2024
- 2024PIPPIN: Generating variable length full events from partons18 Jun 2024
33 more
- 2024Particle Multi-Axis Transformer for Jet Tagging9 Jun 2024
- 2024Convolutional L2LFlows: Generating Accurate Showers in Highly Granular Calorimeters Using Convolutional Normalizing Flows30 May 2024
- 2024BUFF: Boosted Decision Tree based Ultra-Fast Flow matching28 Apr 2024
- 2024Jet Discrimination with Quantum Complete Graph Neural Network8 Mar 2024
- 2024Locality-Sensitive Hashing-Based Efficient Point Transformer with Applications in High-Energy Physics19 Feb 2024
- 2023Adapt & Align: Continual Learning with Generative Models Latent Space Alignment21 Dec 2023
- 2023Deep Generative Models for Detector Signature Simulation: A Taxonomic Review15 Dec 2023
- 2023Induced Generative Adversarial Particle Transformers8 Dec 2023
- 2023Flow Matching Beyond Kinematics: Generating Jets with Particle-ID and Trajectory Displacement Information30 Nov 2023
- 2023DeepTreeGANv2: Iterative Pooling of Point Clouds24 Nov 2023
- 2023The Optimal use of Segmentation for Sampling Calorimeters2 Oct 2023
- 2023EPiC-ly Fast Particle Cloud Generation with Flow-Matching and Diffusion29 Sep 2023
- 2023CaloClouds II: Ultra-Fast Geometry-Independent Highly-Granular Calorimeter Simulation11 Sep 2023
- 2023PC-Droid: Faster diffusion and improved quality for particle cloud generation13 Jul 2023
- 2023Comparison of Point Cloud and Image-based Models for Calorimeter Fast Simulation10 Jul 2023
- 2023Machine Learning methods for simulating particle response in the Zero Degree Calorimeter at the ALICE experiment, CERN23 Jun 2023
- 2023Differentiable Earth Mover's Distance for Data Compression at the High-Luminosity LHC7 Jun 2023
- 2023Attention to Mean-Fields for Particle Cloud Generation24 May 2023
- 2023Generalizing to new geometries with Geometry-Aware Autoregressive Models (GAAMs) for fast calorimeter simulation19 May 2023
- 2023CaloClouds: Fast Geometry-Independent Highly-Granular Calorimeter Simulation8 May 2023
- 2023Diffusion map particle systems for generative modeling1 Apr 2023
- 2023PC-JeDi: Diffusion for Particle Cloud Generation in High Energy Physics9 Mar 2023
- 2023Versatile Energy-Based Probabilistic Models for High Energy Physics1 Feb 2023
- 2023EPiC-GAN: Equivariant Point Cloud Generation for Particle Jets17 Jan 2023
- 2022Lorentz group equivariant autoencoders14 Dec 2022
- 2022Evaluating generative models in high energy physics18 Nov 2022
- 2022Do graph neural networks learn traditional jet substructure?17 Nov 2022
- 2022Selectively increasing the diversity of GAN-generated samples4 Jul 2022
- 2022Graph Neural Networks in Particle Physics: Implementations, Innovations, and Challenges23 Mar 2022
- 2022New directions for surrogate models and differentiable programming for High Energy Physics detector simulation15 Mar 2022
- 2022Particle Transformer for Jet Tagging8 Feb 2022
- 2021Explaining machine-learned particle-flow reconstruction24 Nov 2021
- 2021Multiband VAE: Latent Space Alignment for Knowledge Consolidation in Continual Learning23 Jun 2021
- 2023EPiC-ly Fast Particle Cloud Generation with Flow-Matching and Diffusioncited by 17
- 2023Comparison of Point Cloud and Image-based Models for Calorimeter Fast Simulationcited by 16
- 2023PC-Droid: Faster diffusion and improved quality for particle cloud generationcited by 8
- 2023Flow Matching Beyond Kinematics: Generating Jets with Particle-ID and Trajectory Displacement Informationcited by 7
- 2024BUFF: Boosted Decision Tree based Ultra-Fast Flow matchingcited by 3
- 2026CaloTrilogy: Toward a Breakthrough in One-Step, End-to-End, Physics-Guided Shower Generation for Modern Calorimeterscited by 1
- 2025Jet Image Generation in High Energy Physics Using Diffusion Modelscited by 0
- 2026CaloTrilogy: Toward a Breakthrough in One-Step, End-to-End, Physics-Guided Shower Generation for Modern Calorimeters2 Jun 2026
- 2025Jet Image Generation in High Energy Physics Using Diffusion Models1 Aug 2025
- 2024BUFF: Boosted Decision Tree based Ultra-Fast Flow matching28 Apr 2024
- 2023Flow Matching Beyond Kinematics: Generating Jets with Particle-ID and Trajectory Displacement Information30 Nov 2023
- 2023EPiC-ly Fast Particle Cloud Generation with Flow-Matching and Diffusion29 Sep 2023
- 2023PC-Droid: Faster diffusion and improved quality for particle cloud generation13 Jul 2023
- 2023Comparison of Point Cloud and Image-based Models for Calorimeter Fast Simulation10 Jul 2023
- 2022Particle Transformer for Jet Taggingcited by 95
- 2023CaloClouds: Fast Geometry-Independent Highly-Granular Calorimeter Simulationcited by 33
- 2022Evaluating generative models in high energy physicscited by 31
- 2023PC-JeDi: Diffusion for Particle Cloud Generation in High Energy Physicscited by 27
- 2023EPiC-GAN: Equivariant Point Cloud Generation for Particle Jetscited by 23
- 2023CaloClouds II: Ultra-Fast Geometry-Independent Highly-Granular Calorimeter Simulationcited by 20
- 2023Deep Generative Models for Detector Signature Simulation: A Taxonomic Reviewcited by 18
- 2022New directions for surrogate models and differentiable programming for High Energy Physics detector simulationcited by 16
- 2022Lorentz group equivariant autoencoderscited by 15
- 2024Convolutional L2LFlows: Generating Accurate Showers in Highly Granular Calorimeters Using Convolutional Normalizing Flowscited by 13
- 2021Explaining machine-learned particle-flow reconstructioncited by 12
- 2022Graph Neural Networks in Particle Physics: Implementations, Innovations, and Challengescited by 12
12 most cited of 38 All 38 (JSON)
- 2026Similarity Pairing with Energy Mover's Distance for Self-Supervised Pre-Training at the LHC15 Sep 2026
- 2026Generative Models and Statistical Validation28 May 2026
- 2026jBOT: Semantic Jet Representation Clustering Emerges from Self-Distillation16 Jan 2026
- 2025ColliderML: The First Release of an OpenDataDetector High-Luminosity Physics Benchmark Dataset17 Dec 2025
- 2025RINO: Renormalization Group Invariance with No Labels9 Sep 2025
- 2025Jet Image Tagging Using Deep Learning: An Ensemble Model9 Aug 2025
- 2025Evidential Deep Learning for Uncertainty Quantification and Out-of-Distribution Detection in Jet Identification using Deep Neural Networks10 Jan 2025
- 2024Lie-Equivariant Quantum Graph Neural Networks22 Nov 2024
- 2024MACK: Mismodeling Addressed with Contrastive Knowledge17 Oct 2024
- 2024PIPPIN: Generating variable length full events from partons18 Jun 2024
- 2024Particle Multi-Axis Transformer for Jet Tagging9 Jun 2024
- 2024Convolutional L2LFlows: Generating Accurate Showers in Highly Granular Calorimeters Using Convolutional Normalizing Flows30 May 2024
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