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Bayesian inference is a popular approach to calibrating uncertainties, but it can underpredict such uncertainties when model misspecification is present, impacting its reliability to inform decision making. Recently, the statistics and…

计算工程、金融与科学 · 计算机科学 2026-01-09 Rebekah White , Rileigh Bandy , Teresa Portone

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

Recent advances in neural density estimation have enabled powerful simulation-based inference (SBI) methods that can flexibly approximate Bayesian inference for intractable stochastic models. Although these methods have demonstrated…

机器学习 · 统计学 2025-12-17 Matthew O'Callaghan , Kaisey S. Mandel , Gerry Gilmore

Model misspecification is a long-standing enigma of the Bayesian inference framework as posteriors tend to get overly concentrated on ill-informed parameter values towards the large sample limit. Tempering of the likelihood has been…

统计方法学 · 统计学 2019-12-13 Owen Thomas , Jukka Corander

Estimating uncertainty of machine learning models is essential to assess the quality of the predictions that these models provide. However, there are several factors that influence the quality of uncertainty estimates, one of which is the…

机器学习 · 计算机科学 2022-11-03 Yuko Kato , David M. J. Tax , Marco Loog

Sensitivity analyses reveal the influence of various modeling choices on the outcomes of statistical analyses. While theoretically appealing, they are overwhelmingly inefficient for complex Bayesian models. In this work, we propose…

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…

机器学习 · 计算机科学 2022-11-28 Jonas Beck , Michael Deistler , Yves Bernaerts , Jakob Macke , Philipp Berens

Bayesian inference is a powerful tool for combining information in complex settings, a task of increasing importance in modern applications. However, Bayesian inference with a flawed model can produce unreliable conclusions. This review…

统计方法学 · 统计学 2023-05-22 David J. Nott , Christopher Drovandi , David T. Frazier

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,…

机器学习 · 计算机科学 2022-11-01 Sam Witty , David Jensen , Vikash Mansinghka

Selection bias arises when the probability that an observation enters a dataset depends on variables related to the quantities of interest, leading to systematic distortions in estimation and uncertainty quantification. For example, in…

As models of cognition grow in complexity and number of parameters, Bayesian inference with standard methods can become intractable, especially when the data-generating model is of unknown analytic form. Recent advances in simulation-based…

机器学习 · 统计学 2020-07-14 Stefan T. Radev , Andreas Voss , Eva Marie Wieschen , Paul-Christian Bürkner

Neural networks are fragile when confronted with data that significantly deviates from their training distribution. This is true in particular for simulation-based inference methods, such as neural amortized Bayesian inference (ABI), where…

Bayesian synthetic likelihood is a widely used approach for conducting Bayesian analysis in complex models where evaluation of the likelihood is infeasible but simulation from the assumed model is tractable. We analyze the behaviour of the…

统计理论 · 数学 2026-04-17 David T. Frazier , Christopher Drovandi , David J. Nott

Simulation Based Inference (SBI) is shown to yield more accurate resonance parameter estimates than traditional chi-squared minimization in certain cases of model misspecification, demonstrated through a case study of pi-pi scattering and…

高能物理 - 唯象学 · 物理学 2025-07-28 Daniel Sadasivan , Isaac Cordero , Andrew Graham , Cecilia Marsh , Daniel Kupcho , Melana Mourad , Maxim Mai

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…

机器学习 · 统计学 2023-11-03 Richard Gao , Michael Deistler , Jakob H. Macke

Amortized Bayesian inference trains neural networks to solve stochastic inference problems using model simulations, thereby making it possible to rapidly perform Bayesian inference for any newly observed data. However, current…

机器学习 · 计算机科学 2024-07-16 Manuel Gloeckler , Michael Deistler , Christian Weilbach , Frank Wood , Jakob H. Macke

We consider the problem of uncertainty estimation in the context of (non-Bayesian) deep neural classification. In this context, all known methods are based on extracting uncertainty signals from a trained network optimized to solve the…

机器学习 · 计算机科学 2019-04-25 Yonatan Geifman , Guy Uziel , Ran El-Yaniv

Estimated uncertainty by approximate posteriors in Bayesian neural networks are prone to miscalibration, which leads to overconfident predictions in critical tasks that have a clear asymmetric cost or significant losses. Here, we extend the…

机器学习 · 计算机科学 2022-06-17 Biraja Ghoshal , Allan Tucker

In the usual Bayesian setting, a full probabilistic model is required to link the data and parameters, and the form of this model and the inference and prediction mechanisms are specified via de Finetti's representation. In general, such a…

统计方法学 · 统计学 2026-01-21 Yu Luo , David A. Stephens , Daniel J. Graham , Emma J. McCoy

Since the turn of the century, approximate Bayesian inference has steadily evolved as new computational techniques have been incorporated to handle increasingly complex and large-scale predictive problems. The recent success of deep neural…

机器学习 · 统计学 2026-01-14 Roy Shivam Ram Shreshtth , Arnab Hazra , Gourab Mukherjee