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Simulation-based inference (SBI) offers a flexible and general approach to performing Bayesian inference: In SBI, a neural network is trained on synthetic data simulated from a model and used to rapidly infer posterior distributions for…

Machine Learning · Computer Science 2025-10-28 Julius Vetter , Manuel Gloeckler , Daniel Gedon , Jakob H. Macke

Bayesian statistical inference loses predictive optimality when generative models are misspecified. Working within an existing coherent loss-based generalisation of Bayesian inference, we show existing Modular/Cut-model inference is…

Methodology · Statistics 2026-05-18 Chris U. Carmona , Geoff K. Nicholls

Aided by advances in neural density estimation, considerable progress has been made in recent years towards a suite of simulation-based inference (SBI) methods capable of performing flexible, black-box, approximate Bayesian inference for…

Machine Learning · Statistics 2022-09-07 Patrick Cannon , Daniel Ward , Sebastian M. Schmon

The growing availability of large and complex datasets has increased interest in temporal stochastic processes that can capture stylized facts such as marginal skewness, non-Gaussian tails, long memory, and even non-Markovian dynamics.…

Machine Learning · Statistics 2025-10-09 Dan Leonte , Raphaël Huser , Almut E. D. Veraart

This paper investigates deploying semantic edge inference systems for performing a common image clarification task. In particular, each system consists of multiple Internet of Things (IoT) devices that first locally encode the sensing data…

Machine Learning · Computer Science 2025-04-17 Weiqiang Jiao , Suzhi Bi , Xian Li , Cheng Guo , Hao Chen , Zhi Quan

Amortized simulation-based inference (SBI) methods train neural networks on simulated data to perform Bayesian inference. While this strategy avoids the need for tractable likelihoods, it often requires a large number of simulations and has…

Machine Learning · Computer Science 2025-03-04 Manuel Gloeckler , Shoji Toyota , Kenji Fukumizu , Jakob H. Macke

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

Simulation-Based Inference (SBI) is a common name for an emerging family of approaches that infer the model parameters when the likelihood is intractable. Existing SBI methods either approximate the likelihood, such as Approximate Bayesian…

Machine Learning · Computer Science 2023-11-29 Theo Gruner , Boris Belousov , Fabio Muratore , Daniel Palenicek , Jan Peters

Semi-supervised learning has attracted significant attention due to the proliferation of applications featuring limited labeled data but abundant unlabeled data. In this paper, we examine the statistical inference problem in an…

Methodology · Statistics 2026-03-31 Chao Ying , Siyi Deng , Yang Ning , Jiwei Zhao , Heping Zhang

Simulation-Based Inference (SBI) offers a principled and flexible framework for conducting Bayesian inference in any situation where forward simulations are feasible. However, validating the accuracy and reliability of the inferred…

Instrumentation and Methods for Astrophysics · Physics 2026-01-21 James Alvey , Carlo R. Contaldi , Mauro Pieroni

Identifying the parameters of a non-linear model that best explain observed data is a core task across scientific fields. When such models rely on complex simulators, evaluating the likelihood is typically intractable, making traditional…

High-quality labeled data are essential for reliable statistical inference, but are often limited by validation costs. While surrogate labels provide cost-effective alternatives, their noise can introduce non-negligible bias. To address…

Methodology · Statistics 2025-12-29 Jianmin Chen , Huiyuan Wang , Thomas Lumley , Xiaowu Dai , Yong Chen

Computational models are invaluable in capturing the complexities of real-world biological processes. Yet, the selection of appropriate algorithms for inference tasks, especially when dealing with real-world observational data, remains a…

Applications · Statistics 2024-10-01 Xiaoyu Wang , Ryan P. Kelly , Adrianne L. Jenner , David J. Warne , Christopher Drovandi

Simulation-based inference (SBI) enables cosmological parameter estimation when closed-form likelihoods or models are unavailable. However, SBI relies on machine learning for neural compression and density estimation. This requires large…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-29 Alex A. Saoulis , Davide Piras , Niall Jeffrey , Alessio Spurio Mancini , Ana M. G. Ferreira , Benjamin Joachimi

Conformal prediction is a framework for predictive inference with a distribution-free, finite-sample guarantee. However, it tends to provide uninformative prediction sets when calibration data are scarce. This paper introduces…

Machine Learning · Computer Science 2025-06-17 Meshi Bashari , Roy Maor Lotan , Yonghoon Lee , Edgar Dobriban , Yaniv Romano

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

Simulation-Based Inference (SBI) deals with statistical inference in problems where the data are generated from a system that is described by a complex stochastic simulator. The challenge for inference in these problems is that the…

Computation · Statistics 2025-04-17 David Refaeli , Mira Marcus-Kalish , David M. Steinberg

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

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 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