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A central challenge in many areas of science and engineering is to identify model parameters that are consistent with prior knowledge and empirical data. Bayesian inference offers a principled framework for this task, but can be…

Scientists and engineers employ stochastic numerical simulators to model empirically observed phenomena. In contrast to purely statistical models, simulators express scientific principles that provide powerful inductive biases, improve…

Simulation-based Bayesian inference (SBI) can be used to estimate the parameters of complex mechanistic models given observed model outputs without requiring access to explicit likelihood evaluations. A prime example for the application of…

Machine Learning · Computer Science 2022-11-28 Jonas Beck , Michael Deistler , Yves Bernaerts , Jakob Macke , Philipp Berens

Scientists and engineers use simulators to model empirically observed phenomena. However, tuning the parameters of a simulator to ensure its outputs match observed data presents a significant challenge. Simulation-based inference (SBI)…

Simulation-Based Inference (SBI) is an approach to statistical inference where simulations from an assumed model are used to construct estimators and confidence sets. SBI is often used when the likelihood is intractable and to construct…

Methodology · Statistics 2025-08-05 Lorenzo Tomaselli , Valérie Ventura , Larry Wasserman

Simulation-based inference (SBI) methods typically require fully observed data to infer parameters of models with intractable likelihood functions. However, datasets often contain missing values due to incomplete observations, data…

Machine Learning · Computer Science 2025-03-04 Yogesh Verma , Ayush Bharti , Vikas Garg

Simulation-based inference (SBI) enables parameter inference by training neural networks on forward simulations. It is being applied both for intractable likelihoods as well as under time constraints on the posterior sampling. After…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-12 Leander Thiele

Simulation-based inference (SBI) is the preferred framework for estimating parameters of intractable models in science and engineering. A significant challenge in this context is the large computational cost of simulating data from complex…

Machine Learning · Statistics 2025-02-18 Ayush Bharti , Daolang Huang , Samuel Kaski , François-Xavier Briol

Single-molecule experiments are a unique tool to characterize the structural dynamics of biomolecules. However, reconstructing molecular details from noisy single-molecule data is challenging. Simulation-based inference (SBI) integrates…

Chemical Physics · Physics 2024-10-22 Lars Dingeldein , Pilar Cossio , Roberto Covino

Identifying tire and vehicle parameters is an essential step in designing control and planning algorithms for autonomous vehicles. This paper proposes a new method: Simulation-Based Inference (SBI), a modern interpretation of Approximate…

Robotics · Computer Science 2021-08-30 Ali Boyali , Simon Thompson , David Robert Wong

Single-molecule force spectroscopy (smFS) is a powerful approach to studying molecular self-organization. However, the coupling of the molecule with the ever-present experimental device introduces artifacts, that complicates the…

Chemical Physics · Physics 2023-04-25 Lars Dingeldein , Pilar Cossio , Roberto Covino

For complex simulation problems, inferring parameters often precludes the use of classical likelihood-based techniques due to intractable likelihoods. Simulation-based inference (SBI) methods offer a likelihood-free approach to directly…

Machine Learning · Computer Science 2026-04-16 Haley Rosso , Talea Mayo

Accurate condition monitoring of industrial equipment requires inferring latent degradation parameters from indirect sensor measurements under uncertainty. While traditional Bayesian methods like Markov Chain Monte Carlo (MCMC) provide…

Machine Learning · Computer Science 2026-04-23 Peter Collett , Alexander Johannes Stasik , Simone Casolo , Signe Riemer-Sørensen

Diffusion models have recently emerged as powerful learners for simulation-based inference (SBI), enabling fast and accurate estimation of latent parameters from simulated and real data. Their score-based formulation offers a flexible way…

Machine Learning · Statistics 2026-01-30 Jonas Arruda , Niels Bracher , Ullrich Köthe , Jan Hasenauer , Stefan T. Radev

A growing family of approaches to causal inference rely on Bayesian formulations of assumptions that go beyond causal graph structure. For example, Bayesian approaches have been developed for analyzing instrumental variable designs,…

Machine Learning · Computer Science 2022-11-01 Sam Witty , David Jensen , Vikash Mansinghka

Simulation-based Bayesian inference (SBI) methods are widely used for parameter estimation in complex models where evaluating the likelihood is challenging but generating simulations is relatively straightforward. However, these methods…

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

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

Determining the best model or models for a particular data set, a process known as Bayesian model comparison, is a critical part of probabilistic inference. Typically, this process assumes a fixed model-space (that is, a fixed set of…

Quantitative Methods · Quantitative Biology 2019-01-08 Thomas HB FitzGerald , Dorothea Hammerer , Thomas D Sambrook , Will D Penny

Simulation-based inference (SBI) enables Bayesian analysis when the likelihood is intractable but model simulations are available. Recent advances in statistics and machine learning, including Approximate Bayesian Computation and deep…

Methodology · Statistics 2025-09-15 Haoyu Jiang , Yuexi Wang , Yun Yang
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