The frontier of simulation-based inference
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Cited by 20 in Diffusion models, but placed by its own abstract, which didn’t fit.
Abstract (arXiv)
Many domains of science have developed complex simulations to describe phenomena of interest. While these simulations provide high-fidelity models, they are poorly suited for inference and lead to challenging inverse problems. We review the rapidly developing field of simulation-based inference and identify the forces giving new momentum to the field. Finally, we describe how the frontier is expanding so that a broad audience can appreciate the profound change these developments may have on science.
Key facts. Cited by 490 papers in the map (data through 7 Oct 2026). First posted on arXiv 4 Nov 2019.
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Citing papers per year: 2021: 47; 2022: 50; 2023: 86; 2024: 88; 2025: 101; 2026: 118.
490 papers.
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- 2021Transformers Can Do Bayesian Inferencecited by 338
- 2021Benchmarking Simulation-Based Inferencecited by 160
- 2024The Well: a Large-Scale Collection of Diverse Physics Simulations for Machine Learningcited by 134
- 2022Language Model Cascadescited by 104
- 2021gradSim: Differentiable simulation for system identification and visuomotor controlcited by 100
- 2023Flow Matching for Scalable Simulation-Based Inferencecited by 97
- 2021A Living Review of Machine Learning for Particle Physicscited by 77
- 2021Real-time gravitational-wave science with neural posterior estimationcited by 76
- 2024All-in-one simulation-based inferencecited by 71
- 2022On scientific understanding with artificial intelligencecited by 68
- 2021Implicit Deep Adaptive Design: Policy-Based Experimental Design without Likelihoodscited by 61
- 2021Physics-Integrated Variational Autoencoders for Robust and Interpretable Generative Modelingcited by 59
38 more
- 2021Robot Learning from Randomized Simulations: A Reviewcited by 56
- 2022Sequential Neural Score Estimation: Likelihood-Free Inference with Conditional Score Based Diffusion Modelscited by 50
- 2021Detecting Model Misspecification in Amortized Bayesian Inference with Neural Networkscited by 48
- 2023Learning Robust Statistics for Simulation-based Inference under Model Misspecificationcited by 48
- 2022Compositional Score Modeling for Simulation-based Inferencecited by 46
- 2021Particle Cloud Generation with Message Passing Generative Adversarial Networkscited by 45
- 2022Robust Neural Posterior Estimation and Statistical Model Criticismcited by 45
- 2023Sampling-Based Accuracy Testing of Posterior Estimators for General Inferencecited by 45
- 2022Investigating the Impact of Model Misspecification in Neural Simulation-based Inferencecited by 44
- 2022UVCGAN: UNet Vision Transformer cycle-consistent GAN for unpaired image-to-image translationcited by 42
- 2022Robust Bayesian Inference for Simulator-based Models via the MMD Posterior Bootstrapcited by 41
- 2023JANA: Jointly Amortized Neural Approximation of Complex Bayesian Modelscited by 41
- 2023Infinite-Dimensional Diffusion Modelscited by 38
- 2022Physical Design using Differentiable Learned Simulatorscited by 37
- 2023Conditional score-based diffusion models for Bayesian inference in infinite dimensionscited by 37
- 2022GATSBI: Generative Adversarial Training for Simulation-Based Inferencecited by 36
- 2024Neural Methods for Amortized Inferencecited by 36
- 2024Lorentz-Equivariant Geometric Algebra Transformers for High-Energy Physicscited by 36
- 2021Sequential Neural Posterior and Likelihood Approximationcited by 30
- 2021Truncated Marginal Neural Ratio Estimationcited by 30
- 2025Simulation-Based Inference: A Practical Guidecited by 30
- 2021Neural Networks for Parameter Estimation in Intractable Modelscited by 28
- 2022Neural Importance Sampling for Rapid and Reliable Gravitational-Wave Inferencecited by 28
- 2021A Trust Crisis In Simulation-Based Inference? Your Posterior Approximations Can Be Unfaithfulcited by 27
- 2022Towards Reliable Simulation-Based Inference with Balanced Neural Ratio Estimationcited by 27
- 2021Gradient-based Bayesian Experimental Design for Implicit Models using Mutual Information Lower Boundscited by 26
- 2024Addressing Misspecification in Simulation-based Inference through Data-driven Calibrationcited by 26
- 2025Walrus: A Cross-Domain Foundation Model for Continuum Dynamicscited by 26
- 2022Reliable amortized variational inference with physics-based latent distribution correctioncited by 25
- 2024Dynamic Conditional Optimal Transport through Simulation-Free Flowscited by 24
- 2023End-To-End Latent Variational Diffusion Models for Inverse Problems in High Energy Physicscited by 22
- 2023Distribution learning via neural differential equations: a nonparametric statistical perspectivecited by 22
- 2023Consistency Models for Scalable and Fast Simulation-Based Inferencecited by 22
- 2024Marrying Causal Representation Learning with Dynamical Systems for Sciencecited by 22
- 2024Amortized Probabilistic Conditioning for Optimization, Simulation and Inferencecited by 22
- 2025The Reality Gap in Robotics: Challenges, Solutions, and Best Practicescited by 22
- 2022Scientific Inference With Interpretable Machine Learning: Analyzing Models to Learn About Real-World Phenomenacited by 21
- 2024Real-time gravitational-wave inference for binary neutron stars using machine learningcited by 21
50 most cited of 490 All 490 (JSON)
- 2026Amortized ratio-estimation importance sampling and localized simulation-based calibration for intractable likelihoods30 Sep 2026
- 2026Mitigating Representation Gaps in Amortized Bayesian Inference with Auxiliary Supervision30 Sep 2026
- 2026Amortized Data Borrowing with Exchangeability-Aware Neural Posterior Estimation30 Sep 2026
- 2026PTED: A multi-dimensional two-sample test for scientific inference and generative machine learning29 Sep 2026
- 2026High-Dimensional Simulation-Based Inference in Latent Spaces29 Sep 2026
- 2026Hybrid Neural Simulation-Based Inference for Robust Applications and Limited-Budget Scenarios28 Sep 2026
- 2026Simulation-Based Inference for Plate Reverb System Identification28 Sep 2026
- 2026Uncertainty Quantification in Cardiac Model Personalisation from Ultrafast Ultrasound28 Sep 2026
- 2026Simulation-Based Quantum System Inference with Neural Posterior Estimation28 Sep 2026
- 2026Recovery-Directed Symbolic Distillation of Neural Likelihoods26 Sep 2026
- 2026Large Language Bayes Is Not Reparameterisation-Invariant24 Sep 2026
- 2026Bayesian Uncertainty Quantification for fMRI Functional Connectivity via Simulation-Based Inference24 Sep 2026
38 more
- 2026PR-Smoother: Simulator-Preserving Non-Gaussian Smoothing for Data Assimilation22 Sep 2026
- 2026A Three-Way Testing Framework for Quantifying Epistemic Calibration Uncertainty in SBI21 Sep 2026
- 2026Neural composite likelihood estimation: simulation based inference for time series18 Sep 2026
- 2026Calibrating subgrid parametrizations of single-column ocean models via simulation-based inference3 Sep 2026
- 2026TNFlow: Amortized Posterior Inference for Trans-Neptunian Object Surface Composition3 Sep 2026
- 2026Source Distribution Estimation by Posterior Averaging2 Sep 2026
- 2026On the Complexity of the Compatibility Problem for Succinctly Encoded Conditional Distributions31 Aug 2026
- 2026On the approximation of posterior laws in compound loss models by conditional Wasserstein GANs27 Aug 2026
- 2026Self-Augmented Diffusion Guidance for Physics-Informed Generation27 Aug 2026
- 2026Impact of Multiple Non-Invasive Biosignals on Cardiovascular Biomarker Estimation via Simulation-Based Inference26 Aug 2026
- 2026Amortized Set Prediction for Inverse IFS Reconstruction from Density Maps25 Aug 2026
- 2026Guidance for Prior Change via Density Ratio Estimation22 Aug 2026
- 2026Heteroscedastic Neural Surrogate Modeling for Robust and Rapid Bayesian Inference in Fusion Plasma Diagnostics19 Aug 2026
- 2026Posterior Inference of Hamiltonian Parameters from RIXS Spectroscopy14 Aug 2026
- 2026Unknown Unknowns: Model Misspecification in Machine Learning for Physics13 Aug 2026
- 2026Don't Cut Corners: How Training Outside the Prior Makes Simulation-Based Inference More Robust12 Aug 2026
- 2026Trajectory Design and Budgeted Querying for Digital Twin Calibration9 Aug 2026
- 2026Simulation-based parameter estimation via a combination of embedded normalizing flows and implied empirical probabilities under moment restrictions27 Jul 2026
- 2026Simulation-Based Empirical Bayes23 Jul 2026
- 2026An Introduction to Bayesian and Frequentist Simulation-Based Inference with Machine Learning23 Jul 2026
- 2026Program Synthesis for Simulation-Based Inference: Joint Model Selection and Parameter Estimation20 Jul 2026
- 2026Ensemble Controlled-Flow Filtering for Implicit Data Assimilation14 Jul 2026
- 2026Physically Consistent Parameter Inference: Transparent Machine Learning Emulation in High Energy Physics and Cosmology14 Jul 2026
- 2026A Physics-Inspired Classical Digital Twin of Cortical Dynamics: A Band-Stratified Metriplectic Port-Hamiltonian Neural Network Learned from Brain-Computer-Interface EEG11 Jul 2026
- 2026Are We Ready for AI-Driven Discovery? AI Verification Before the Next Fundamental Physics Breakthrough10 Jul 2026
- 2026Stochastic generator of trajectories from record data: application to the fluctuations of a glacier's frontal position from a sample of moraines7 Jul 2026
- 2026LLM-Guided ODE Discovery and Parameter Inference from Small-Cohort Aggregate Data1 Jul 2026
- 2026Factorizable Normalizing Flows for parameter-dependent density morphing29 Jun 2026
- 2026The Simulacrum: Decision-Theoretic Pretraining for Near-Optimal Time-Series Forecasting and Inference26 Jun 2026
- 2026Simulation-based inference for rapid Bayesian parameter estimation in epidemiological models: a comparison with MCMC25 Jun 2026
- 2026Interpreting "Interpretability" and Explaining "Explainability" in Machine Learning in Physics24 Jun 2026
- 2026Multi-Task Bayesian In-Context Learning18 Jun 2026
- 2026Correcting Sensor-Induced Distribution Drift with Wasserstein Adversarial Learning17 Jun 2026
- 2026MA-SBI: Misspecification-Aware Simulation-Based Inference via Side-Channel Guidance15 Jun 2026
- 2026Latent Space Reinforcement Learning for Inverse Material Estimation in Food Fracture Simulation15 Jun 2026
- 2026Amortized quadrature for posterior expectations in inverse problems14 Jun 2026
- 2026Learning Where to Simulate: Generative Active Sampling for Online PDE Surrogate Training8 Jun 2026
- 2026APIC: Amortized Physics-Informed Calibration using Neural Processes2 Jun 2026
50 newest of 490 All 490 (JSON)
- 2023Flow Matching for Scalable Simulation-Based Inferencecited by 97
- 2022Sequential Neural Score Estimation: Likelihood-Free Inference with Conditional Score Based Diffusion Modelscited by 50
- 2023Infinite-Dimensional Diffusion Modelscited by 38
- 2023Conditional score-based diffusion models for Bayesian inference in infinite dimensionscited by 37
- 2023End-To-End Latent Variational Diffusion Models for Inverse Problems in High Energy Physicscited by 22
- 2023Consistency Models for Scalable and Fast Simulation-Based Inferencecited by 22
- 2024Conditional score-based diffusion models for solving inverse problems in mechanicscited by 6
- 2024Nonlinear denoising score matching for enhanced learning of structured distributionscited by 3
- 2025PriorGuide: Test-Time Prior Adaptation for Simulation-Based Inferencecited by 3
- 2024Flow Matching for Posterior Inference with Simulator Feedbackcited by 2
- 2025ConDiSim: Conditional Diffusion Models for Simulation Based Inferencecited by 2
- 2025Provable Mixed-Noise Learning with Flow-Matchingcited by 2
12 most cited of 20 All 20 (JSON)
- 2026Self-Augmented Diffusion Guidance for Physics-Informed Generation27 Aug 2026
- 2026Pawsterior: Variational Flow Matching for Structured Simulation-Based Inference14 Feb 2026
- 2026Latent Target Score Matching, with an application to Simulation-Based Inference6 Feb 2026
- 2026OneFlowSBI: One Model, Many Queries for Simulation-Based Inference30 Jan 2026
- 2026Learned harmonic mean estimation of the marginal likelihood for multimodal posteriors with flow matching26 Jan 2026
- 2025A Review of Diffusion-based Simulation-Based Inference: Foundations and Applications in Non-Ideal Data Scenarios26 Dec 2025
- 2025PriorGuide: Test-Time Prior Adaptation for Simulation-Based Inference15 Oct 2025
- 2025Flow Matching Calibration for Simulation-Based Inference under Model Misspecification27 Sep 2025
- 2025Provable Mixed-Noise Learning with Flow-Matching25 Aug 2025
- 2025ConDiSim: Conditional Diffusion Models for Simulation Based Inference13 May 2025
- 2025Power-scaled Bayesian Inference with Score-based Generative Models15 Apr 2025
- 2024Flow Matching for Posterior Inference with Simulator Feedback29 Oct 2024
12 newest of 20 All 20 (JSON)
- 2021Transformers Can Do Bayesian Inferencecited by 338
- 2021Benchmarking Simulation-Based Inferencecited by 160
- 2024The Well: a Large-Scale Collection of Diverse Physics Simulations for Machine Learningcited by 134
- 2022Language Model Cascadescited by 104
- 2021gradSim: Differentiable simulation for system identification and visuomotor controlcited by 100
- 2021A Living Review of Machine Learning for Particle Physicscited by 77
- 2021Real-time gravitational-wave science with neural posterior estimationcited by 76
- 2024All-in-one simulation-based inferencecited by 71
- 2022On scientific understanding with artificial intelligencecited by 68
- 2021Implicit Deep Adaptive Design: Policy-Based Experimental Design without Likelihoodscited by 61
- 2021Physics-Integrated Variational Autoencoders for Robust and Interpretable Generative Modelingcited by 59
- 2021Robot Learning from Randomized Simulations: A Reviewcited by 56
12 most cited of 466 All 466 (JSON)
- 2026Amortized ratio-estimation importance sampling and localized simulation-based calibration for intractable likelihoods30 Sep 2026
- 2026Mitigating Representation Gaps in Amortized Bayesian Inference with Auxiliary Supervision30 Sep 2026
- 2026Amortized Data Borrowing with Exchangeability-Aware Neural Posterior Estimation30 Sep 2026
- 2026PTED: A multi-dimensional two-sample test for scientific inference and generative machine learning29 Sep 2026
- 2026High-Dimensional Simulation-Based Inference in Latent Spaces29 Sep 2026
- 2026Hybrid Neural Simulation-Based Inference for Robust Applications and Limited-Budget Scenarios28 Sep 2026
- 2026Simulation-Based Inference for Plate Reverb System Identification28 Sep 2026
- 2026Uncertainty Quantification in Cardiac Model Personalisation from Ultrafast Ultrasound28 Sep 2026
- 2026Simulation-Based Quantum System Inference with Neural Posterior Estimation28 Sep 2026
- 2026Recovery-Directed Symbolic Distillation of Neural Likelihoods26 Sep 2026
- 2026Large Language Bayes Is Not Reparameterisation-Invariant24 Sep 2026
- 2026Bayesian Uncertainty Quantification for fMRI Functional Connectivity via Simulation-Based Inference24 Sep 2026
12 newest of 466 All 466 (JSON)