Accelerating Science with Generative Adversarial Networks: An Application to 3D Particle Showers in Multi-Layer Calorimeters
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Abstract (arXiv)
Physicists at the Large Hadron Collider (LHC) rely on detailed simulations of particle collisions to build expectations of what experimental data may look like under different theory modeling assumptions. Petabytes of simulated data are needed to develop analysis techniques, though they are expensive to generate using existing algorithms and computing resources. The modeling of detectors and the precise description of particle cascades as they interact with the material in the calorimeter are the most computationally demanding steps in the simulation pipeline. We therefore introduce a deep neural network-based generative model to enable high-fidelity, fast, electromagnetic calorimeter simulation. There are still challenges for achieving precision across the entire phase space, but our current solution can reproduce a variety of particle shower properties while achieving speed-up factors of up to 100,000×. This opens the door to a new era of fast simulation that could save significant computing time and disk space, while extending the reach of physics searches and precision measurements at the LHC and beyond.
Key facts. Cited by 55 papers in the map (data through 14 Oct 2026). First posted on arXiv 5 May 2017.
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Citing papers per year: 2021: 13; 2022: 8; 2023: 13; 2024: 8; 2025: 6; 2026: 7.
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- 2021A Living Review of Machine Learning for Particle Physicscited by 78
- 2021CaloFlow: Fast and Accurate Generation of Calorimeter Showers with Normalizing Flowscited by 46
- 2024OmniJet-α: The first cross-task foundation model for particle physicscited by 43
- 2021CaloFlow II: Even Faster and Still Accurate Generation of Calorimeter Showers with Normalizing Flowscited by 34
- 2023CaloClouds: Fast Geometry-Independent Highly-Granular Calorimeter Simulationcited by 33
- 2021Applications and Techniques for Fast Machine Learning in Sciencecited by 32
- 2022Evaluating generative models in high energy physicscited by 31
- 2023PC-JeDi: Diffusion for Particle Cloud Generation in High Energy Physicscited by 27
- 2023Ultra-High-Resolution Detector Simulation with Intra-Event Aware GAN and Self-Supervised Relational Reasoningcited by 25
- 2023Inductive Simulation of Calorimeter Showers with Normalizing Flowscited by 22
- 2021Generative Networks for Precision Enthusiastscited by 21
- 2023CaloClouds II: Ultra-Fast Geometry-Independent Highly-Granular Calorimeter Simulationcited by 20
38 more
- 2023Deep Generative Models for Detector Signature Simulation: A Taxonomic Reviewcited by 18
- 2021Understanding Event-Generation Networks via Uncertaintiescited by 17
- 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
- 2022CaloFlow for CaloChallenge Dataset 1cited by 14
- 2025OmniJet-αC: Learning point cloud calorimeter simulations using generative transformerscited by 14
- 2024Convolutional L2LFlows: Generating Accurate Showers in Highly Granular Calorimeters Using Convolutional Normalizing Flowscited by 13
- 2021Latent Space Refinement for Deep Generative Modelscited by 10
- 2022Snowmass 2021 Computational Frontier CompF03 Topical Group Report: Machine Learningcited by 10
- 2022Can denoising diffusion probabilistic models generate realistic astrophysical fields?cited by 10
- 2021Nanosecond machine learning event classification with boosted decision trees in FPGA for high energy physicscited by 9
- 2023PC-Droid: Faster diffusion and improved quality for particle cloud generationcited by 8
- 2025CaloHadronic: a diffusion model for the generation of hadronic showerscited by 8
- 2022Particle-based Fast Jet Simulation at the LHC with Variational Autoencoderscited by 7
- 2023Calorimeter shower superresolutioncited by 7
- 2024Unifying Simulation and Inference with Normalizing Flowscited by 6
- 2026Scaling laws for amplitude surrogatescited by 6
- 2024A Comprehensive Evaluation of Generative Models in Calorimeter Shower Simulationcited by 5
- 2021Statistical inference for generative adversarial networks and other minimax problemscited by 3
- 2021The use of Generative Adversarial Networks to characterise new physics in multi-lepton final states at the LHCcited by 3
- 2022Data Science and Machine Learning in Educationcited by 3
- 2025Forecasting Generative Amplificationcited by 3
- 2026AllShowers: One model for all calorimeter showerscited by 3
- 2026Generalizable Foundation Models for Calorimetry via Mixtures-of-Experts and Parameter Efficient Fine Tuningcited by 3
- 2021Graph Generative Models for Fast Detector Simulations in High Energy Physicscited by 2
- 2021Generative Adversarial Network for Probabilistic Forecast of Random Dynamical Systemcited by 2
- 2023Versatile Energy-Based Probabilistic Models for High Energy Physicscited by 2
- 2023DeepTreeGANv2: Iterative Pooling of Point Cloudscited by 2
- 2024Extrapolating Jet Radiation with Autoregressive Transformerscited by 2
- 2025A First Full Physics Benchmark for Highly Granular Calorimeter Surrogatescited by 2
- 2026Generative Models and Statistical Validationcited by 2
- 2024Image and Point-cloud Classification for Jet Analysis in High-Energy Physics: A surveycited by 1
- 2024Global Optimisation of Black-Box Functions with Generative Models in the Wasserstein Spacecited by 1
- 2025BitHEP -- The Limits of Low-Precision ML in HEPcited by 1
- 2026CaloTrilogy: Toward a Breakthrough in One-Step, End-to-End, Physics-Guided Shower Generation for Modern Calorimeterscited by 1
- 2021Accelerating GAN training using highly parallel hardware on public cloudcited by 0
50 most cited of 55 All 55 (JSON)
- 2026Learning Standard Model structure from LHC data with Riemannian flow matching17 Jul 2026
- 2026GPT-Based Fast Simulation of CLAS12 Detector Hits via Conditional Autoregressive Generation14 Jun 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
- 2026Generalizable Foundation Models for Calorimetry via Mixtures-of-Experts and Parameter Efficient Fine Tuning27 Mar 2026
- 2026Scaling laws for amplitude surrogates19 Jan 2026
- 2026AllShowers: One model for all calorimeter showers16 Jan 2026
- 2025Graph Neural Networks for Interferometer Simulations18 Dec 2025
- 2025A First Full Physics Benchmark for Highly Granular Calorimeter Surrogates21 Nov 2025
- 2025Forecasting Generative Amplification9 Sep 2025
- 2025CaloHadronic: a diffusion model for the generation of hadronic showers26 Jun 2025
- 2025BitHEP -- The Limits of Low-Precision ML in HEP4 Apr 2025
38 more
- 2025OmniJet-αC: Learning point cloud calorimeter simulations using generative transformers9 Jan 2025
- 2024Extrapolating Jet Radiation with Autoregressive Transformers16 Dec 2024
- 2024Global Optimisation of Black-Box Functions with Generative Models in the Wasserstein Space16 Jul 2024
- 2024A Comprehensive Evaluation of Generative Models in Calorimeter Shower Simulation8 Jun 2024
- 2024Convolutional L2LFlows: Generating Accurate Showers in Highly Granular Calorimeters Using Convolutional Normalizing Flows30 May 2024
- 2024Unifying Simulation and Inference with Normalizing Flows29 Apr 2024
- 2024Image and Point-cloud Classification for Jet Analysis in High-Energy Physics: A survey18 Mar 2024
- 2024OmniJet-α: The first cross-task foundation model for particle physics8 Mar 2024
- 2024Synthesis of pulses from particle detectors with a Generative Adversarial Network (GAN)10 Jan 2024
- 2023Deep Generative Models for Detector Signature Simulation: A Taxonomic Review15 Dec 2023
- 2023DeepTreeGANv2: Iterative Pooling of Point Clouds24 Nov 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
- 2023Calorimeter shower superresolution22 Aug 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
- 2023Probabilistic Matching of Real and Generated Data Statistics in Generative Adversarial Networks19 Jun 2023
- 2023Inductive Simulation of Calorimeter Showers with Normalizing Flows19 May 2023
- 2023CaloClouds: Fast Geometry-Independent Highly-Granular Calorimeter Simulation8 May 2023
- 2023PC-JeDi: Diffusion for Particle Cloud Generation in High Energy Physics9 Mar 2023
- 2023Ultra-High-Resolution Detector Simulation with Intra-Event Aware GAN and Self-Supervised Relational Reasoning7 Mar 2023
- 2023Versatile Energy-Based Probabilistic Models for High Energy Physics1 Feb 2023
- 2022Lorentz group equivariant autoencoders14 Dec 2022
- 2022Can denoising diffusion probabilistic models generate realistic astrophysical fields?22 Nov 2022
- 2022Evaluating generative models in high energy physics18 Nov 2022
- 2022CaloFlow for CaloChallenge Dataset 125 Oct 2022
- 2022Snowmass 2021 Computational Frontier CompF03 Topical Group Report: Machine Learning15 Sep 2022
- 2022Data Science and Machine Learning in Education19 Jul 2022
- 2022New directions for surrogate models and differentiable programming for High Energy Physics detector simulation15 Mar 2022
- 2022Particle-based Fast Jet Simulation at the LHC with Variational Autoencoders1 Mar 2022
- 2021Accelerating GAN training using highly parallel hardware on public cloud8 Nov 2021
- 2021Generative Adversarial Network for Probabilistic Forecast of Random Dynamical System4 Nov 2021
- 2021Applications and Techniques for Fast Machine Learning in Science25 Oct 2021
- 2021Generative Networks for Precision Enthusiasts22 Oct 2021
- 2021CaloFlow II: Even Faster and Still Accurate Generation of Calorimeter Showers with Normalizing Flows21 Oct 2021
- 2021CaloFlow: Fast and Accurate Generation of Calorimeter Showers with Normalizing Flows9 Jun 2021
- 2021Latent Space Refinement for Deep Generative Models1 Jun 2021
- 2021The use of Generative Adversarial Networks to characterise new physics in multi-lepton final states at the LHC31 May 2021
50 newest of 55 All 55 (JSON)
- 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
- 2022Can denoising diffusion probabilistic models generate realistic astrophysical fields?cited by 10
- 2023PC-Droid: Faster diffusion and improved quality for particle cloud generationcited by 8
- 2025CaloHadronic: a diffusion model for the generation of hadronic showerscited by 8
- 2026CaloTrilogy: Toward a Breakthrough in One-Step, End-to-End, Physics-Guided Shower Generation for Modern Calorimeterscited by 1
- 2026CaloTrilogy: Toward a Breakthrough in One-Step, End-to-End, Physics-Guided Shower Generation for Modern Calorimeters2 Jun 2026
- 2025CaloHadronic: a diffusion model for the generation of hadronic showers26 Jun 2025
- 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
- 2022Can denoising diffusion probabilistic models generate realistic astrophysical fields?22 Nov 2022
- 2021A Living Review of Machine Learning for Particle Physicscited by 78
- 2021CaloFlow: Fast and Accurate Generation of Calorimeter Showers with Normalizing Flowscited by 46
- 2024OmniJet-α: The first cross-task foundation model for particle physicscited by 43
- 2021CaloFlow II: Even Faster and Still Accurate Generation of Calorimeter Showers with Normalizing Flowscited by 34
- 2023CaloClouds: Fast Geometry-Independent Highly-Granular Calorimeter Simulationcited by 33
- 2021Applications and Techniques for Fast Machine Learning in Sciencecited by 32
- 2022Evaluating generative models in high energy physicscited by 31
- 2023PC-JeDi: Diffusion for Particle Cloud Generation in High Energy Physicscited by 27
- 2023Ultra-High-Resolution Detector Simulation with Intra-Event Aware GAN and Self-Supervised Relational Reasoningcited by 25
- 2023Inductive Simulation of Calorimeter Showers with Normalizing Flowscited by 22
- 2021Generative Networks for Precision Enthusiastscited by 21
- 2023CaloClouds II: Ultra-Fast Geometry-Independent Highly-Granular Calorimeter Simulationcited by 20
12 most cited of 48 All 48 (JSON)
- 2026Learning Standard Model structure from LHC data with Riemannian flow matching17 Jul 2026
- 2026GPT-Based Fast Simulation of CLAS12 Detector Hits via Conditional Autoregressive Generation14 Jun 2026
- 2026Generative Models and Statistical Validation28 May 2026
- 2026Scaling laws for amplitude surrogates19 Jan 2026
- 2026AllShowers: One model for all calorimeter showers16 Jan 2026
- 2025Graph Neural Networks for Interferometer Simulations18 Dec 2025
- 2025A First Full Physics Benchmark for Highly Granular Calorimeter Surrogates21 Nov 2025
- 2025Forecasting Generative Amplification9 Sep 2025
- 2025BitHEP -- The Limits of Low-Precision ML in HEP4 Apr 2025
- 2025OmniJet-αC: Learning point cloud calorimeter simulations using generative transformers9 Jan 2025
- 2024Extrapolating Jet Radiation with Autoregressive Transformers16 Dec 2024
- 2024Global Optimisation of Black-Box Functions with Generative Models in the Wasserstein Space16 Jul 2024
12 newest of 48 All 48 (JSON)