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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…

宇宙学与河外天体物理 · 物理学 2026-05-12 Leander Thiele

Neural density estimators have proven remarkably powerful in performing efficient simulation-based Bayesian inference in various research domains. In particular, the BayesFlow framework uses a two-step approach to enable amortized parameter…

统计方法学 · 统计学 2022-11-10 Marvin Schmitt , Paul-Christian Bürkner , Ullrich Köthe , Stefan T. Radev

We introduce a framework for inference in general state-space hidden Markov models (HMMs) under likelihood misspecification. In particular, we leverage the loss-theoretic perspective of Generalized Bayesian Inference (GBI) to define…

统计方法学 · 统计学 2020-10-22 Ayman Boustati , Ömer Deniz Akyildiz , Theodoros Damoulas , Adam M. Johansen

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…

统计方法学 · 统计学 2026-05-18 Chris U. Carmona , Geoff K. Nicholls

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…

机器学习 · 计算机科学 2025-10-28 Julius Vetter , Manuel Gloeckler , Daniel Gedon , Jakob H. Macke

Bayesian simulation-based inference (SBI) methods are used in statistical models where simulation is feasible but the likelihood is intractable. Standard SBI methods can perform poorly in cases of model misspecification, and there has been…

统计方法学 · 统计学 2025-04-15 Wang Yuyan , Michael Evans , David J. Nott

Hierarchical models are increasingly used in many applications. Along with this increased use comes a desire to investigate whether the model is compatible with the observed data. Bayesian methods are well suited to eliminate the many…

统计方法学 · 统计学 2008-02-08 M. J. Bayarri , M. E. Castellanos

Bayesian inference for complex models with an intractable likelihood can be tackled using algorithms performing many calls to computer simulators. These approaches are collectively known as "simulation-based inference" (SBI). Recent SBI…

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…

机器学习 · 计算机科学 2025-03-04 Manuel Gloeckler , Shoji Toyota , Kenji Fukumizu , Jakob H. Macke

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…

应用统计 · 统计学 2024-10-01 Xiaoyu Wang , Ryan P. Kelly , Adrianne L. Jenner , David J. Warne , Christopher Drovandi

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…

统计方法学 · 统计学 2025-09-15 Haoyu Jiang , Yuexi Wang , Yun Yang

We classify two types of Hierarchical Bayesian Model found in the literature as Hierarchical Prior Model (HPM) and Hierarchical Stochastic Model (HSM). Then, we focus on studying the theoretical implications of the HSM. Using examples of…

应用统计 · 统计学 2016-11-10 Stephen Wu , Panagiotis Angelikopoulos , James L. Beck , Petros Koumoutsakos

The analysis of data from multiple experiments, such as observations of several individuals, is commonly approached using mixed-effects models, which account for variation between individuals through hierarchical representations. This makes…

统计计算 · 统计学 2026-03-05 Henrik Häggström , Sebastian Persson , Marija Cvijovic , Umberto Picchini

Within a supervised classification framework, labeled data are used to learn classifier parameters. Prior to that, it is generally required to perform dimensionality reduction via feature extraction. These preprocessing steps have motivated…

计算机视觉与模式识别 · 计算机科学 2017-12-04 Adrien Lagrange , Mathieu Fauvel , Stéphane May , Nicolas Dobigeon

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…

机器学习 · 计算机科学 2025-10-22 Ortal Senouf , Antoine Wehenkel , Cédric Vincent-Cuaz , Emmanuel Abbé , Pascal Frossard

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…

化学物理 · 物理学 2024-10-22 Lars Dingeldein , Pilar Cossio , Roberto Covino

Hierarchical models are versatile tools for joint modeling of data sets arising from different, but related, sources. Fully Bayesian inference may, however, become computationally prohibitive if the source-specific data models are complex,…

统计计算 · 统计学 2016-05-06 Ritabrata Dutta , Paul Blomstedt , Samuel Kaski

Model parameter inference is a universal problem across science. This challenge is particularly pronounced in developmental biology, where faithful mechanistic descriptions require spatial-stochastic models with numerous parameters, yet…

生物物理 · 物理学 2024-07-16 Michael A. Ramirez-Sierra , Thomas R. Sokolowski

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…

机器人学 · 计算机科学 2021-08-30 Ali Boyali , Simon Thompson , David Robert Wong

We develop a framework for indirect discovery in the Standard Model Effective Field Theory (SMEFT) based on Bayesian model selection over operator subsets. We argue that SMEFT should be understood as a structured space of competing…

高能物理 - 唯象学 · 物理学 2026-05-22 Luca Mantani