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Related papers: SBI -- A toolkit for simulation-based inference

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Comparison of appropriate models to describe observational data is a fundamental task of science. The Bayesian model evidence, or marginal likelihood, is a computationally challenging, yet crucial, quantity to estimate to perform Bayesian…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-10 A. Spurio Mancini , M. M. Docherty , M. A. Price , J. D. McEwen

Making inferences about physical properties of the Universe requires knowledge of the data likelihood. A Gaussian distribution is commonly assumed for the uncertainties with a covariance matrix estimated from a set of simulations. The noise…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-09 Jed Homer , Oliver Friedrich , Daniel Gruen

Simulation-based inference (SBI) enables amortized Bayesian inference for simulators with implicit likelihoods. But when we are primarily interested in the quality of predictive simulations, or when the model cannot exactly reproduce the…

Machine Learning · Statistics 2023-11-03 Richard Gao , Michael Deistler , Jakob H. Macke

Bayesian inference allows expressing the uncertainty of posterior belief under a probabilistic model given prior information and the likelihood of the evidence. Predominantly, the likelihood function is only implicitly established by a…

Bayesian inference represents a principled way to incorporate Earth structure uncertainty in full-waveform moment tensor inversions, but traditional approaches generally require significant approximations that risk biasing the resulting…

Geophysics · Physics 2026-03-20 A. A. Saoulis , T. -S. Pham , A. M. G. Ferreira

Scientific modeling and engineering applications rely heavily on parameter estimation methods to fit physical models and calibrate numerical simulations using real-world measurements. In the absence of analytic statistical models with…

Machine Learning · Computer Science 2024-09-30 Ruoxi Jiang , Peter Y. Lu , Rebecca Willett

Simulation-based inference (SBI) provides amortized Bayesian parameter inference from simulator-generated data without requiring explicit likelihood evaluation. Its reliability can degrade under model misspecification, where real-world…

Machine Learning · Computer Science 2026-05-18 Joon Jang , Eunho Jeong , Kyu Sung Choi , Hyeonjin Kim

This paper presents recent methodological advances to perform simulation-based inference (SBI) of a general class of Bayesian hierarchical models (BHMs), while checking for model misspecification. Our approach is based on a two-step…

Methodology · Statistics 2022-11-03 Florent Leclercq

Simulation-based inference (SBI) is an established approach for performing Bayesian inference on scientific simulators. SBI so far works best on low-dimensional parametric models. However, it is difficult to infer function-valued…

Machine Learning · Computer Science 2025-11-17 Guy Moss , Leah Sophie Muhle , Reinhard Drews , Jakob H. Macke , Cornelius Schröder

Recent advances in probabilistic modelling have led to a large number of simulation-based inference algorithms which do not require numerical evaluation of likelihoods. However, a public benchmark with appropriate performance metrics for…

Machine Learning · Statistics 2021-04-12 Jan-Matthis Lueckmann , Jan Boelts , David S. Greenberg , Pedro J. Gonçalves , Jakob H. Macke

Simulation-based inference (SBI) methods such as approximate Bayesian computation (ABC), synthetic likelihood, and neural posterior estimation (NPE) rely on simulating statistics to infer parameters of intractable likelihood models.…

Machine Learning · Statistics 2023-10-06 Daolang Huang , Ayush Bharti , Amauri Souza , Luigi Acerbi , Samuel Kaski

Our paper deals with inferring simulator-based statistical models given some observed data. A simulator-based model is a parametrized mechanism which specifies how data are generated. It is thus also referred to as generative model. We…

Machine Learning · Statistics 2016-01-01 Michael U. Gutmann , Jukka Corander

Some of the issues that make sampling parameter spaces of various beyond the Standard Model (BSM) scenarios computationally expensive are the high dimensionality of the input parameter space, complex likelihoods, and stringent experimental…

High Energy Physics - Phenomenology · Physics 2026-02-16 Atrideb Chatterjee , Arghya Choudhury , Sourav Mitra , Arpita Mondal , Subhadeep Mondal

Extracting maximum cosmological information from current and upcoming large-scale structure data requires going beyond summary statistics as currently used in likelihood-based inference. Simulation-Based Inference (SBI) promises to enable…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-27 Giulio Scelfo , Satvik Mishra , Mauro Rigo , Roberto Trotta , Matteo Viel

Simulation-based inference (SBI) is constantly in search of more expressive and efficient algorithms to accurately infer the parameters of complex simulation models. In line with this goal, we present consistency models for posterior…

Machine Learning · Computer Science 2024-11-05 Marvin Schmitt , Valentin Pratz , Ullrich Köthe , Paul-Christian Bürkner , Stefan T Radev

Bayesian inference is an effective approach for solving statistical learning problems, especially with uncertainty and incompleteness. However, Bayesian inference is a computing-intensive task whose efficiency is physically limited by the…

Emerging Technologies · Computer Science 2019-02-20 Xiaotao Jia , Jianlei Yang , Pengcheng Dai , Runze Liu , Yiran Chen , Weisheng Zhao

Bayesian inference is an effective approach for solving statistical learning problems especially with uncertainty and incompleteness. However, inference efficiencies are physically limited by the bottlenecks of conventional computing…

Emerging Technologies · Computer Science 2017-11-06 Xiaotao Jia , Jianlei Yang , Zhaohao Wang , Yiran Chen , Hai , Li , Weisheng Zhao

Simulation-based inference (SBI) is a statistical inference approach for estimating latent parameters of a physical system when the likelihood is intractable but simulations are available. In practice, SBI is often hindered by model…

Machine Learning · Computer Science 2025-10-22 Ortal Senouf , Antoine Wehenkel , Cédric Vincent-Cuaz , Emmanuel Abbé , Pascal Frossard

Bayesian optimal experimental design (BOED) seeks to maximize the expected information gain (EIG) of experiments. This requires a likelihood estimate, which in many settings is intractable. Simulation-based inference (SBI) provides powerful…

Machine Learning · Computer Science 2026-02-09 Samuel Klein , Willie Neiswanger , Daniel Ratner , Michael Kagan , Sean Gasiorowski

Statistical inference in physics is often based on samples from a generator (sometimes referred to as a ``forward model") that emulate experimental data and depend on parameters of the underlying theory. Modern machine learning has…

High Energy Physics - Phenomenology · Physics 2025-06-03 Chi Lung Cheng , Ranit Das , Runze Li , Radha Mastandrea , Vinicius Mikuni , Benjamin Nachman , David Shih , Gup Singh