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Simulation-based inference (SBI) enables parameter estimation for complex stochastic models with intractable likelihoods when model simulation is feasible. Neural posterior estimation (NPE) is a popular SBI approach that often achieves…

统计方法学 · 统计学 2026-02-23 Ryan P. Kelly , David T. Frazier , David J. Warne , Christopher C. Drovandi

Counterfactual explanations (CEs) offer interpretable insights into machine learning predictions by answering ``what if?" questions. However, in real-world settings where models are frequently updated, existing counterfactual explanations…

机器学习 · 计算机科学 2026-02-12 Jamie Duell , Xiuyi Fan

Bayesian inference is optimal when the statistical model is well-specified, while outside this setting Bayesian inference can catastrophically fail; accordingly a wealth of post-Bayesian methodologies have been proposed. Predictively…

Bayesian models quantify uncertainty and facilitate optimal decision-making in downstream applications. For most models, however, practitioners are forced to use approximate inference techniques that lead to sub-optimal decisions due to…

机器学习 · 统计学 2019-09-12 Tomasz Kuśmierczyk , Joseph Sakaya , Arto Klami

The classical Bayesian posterior arises naturally as the unique solution of several different optimization problems, without the necessity of interpreting data as conditional probabilities and then using Bayes' Theorem. For example, the…

统计理论 · 数学 2012-03-02 Theodore P. Hill , Marco Dall'Aglio

Model uncertainty obtained by variational Bayesian inference with Monte Carlo dropout is prone to miscalibration. The uncertainty does not represent the model error well. In this paper, temperature scaling is extended to dropout variational…

机器学习 · 计算机科学 2019-11-19 Max-Heinrich Laves , Sontje Ihler , Karl-Philipp Kortmann , Tobias Ortmaier

Accurate null depth retrieval is critical in nulling interferometry. However, achieving accurate null depth calibration is challenging due to various noise sources, instrumental imperfections, and the complexity of real observational…

天体物理仪器与方法 · 物理学 2025-11-14 Baoyi Zeng , Marc-Antoine Martinod , Denis Defrère

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

Bayesian neural networks that incorporate data augmentation implicitly use a ``randomly perturbed log-likelihood [which] does not have a clean interpretation as a valid likelihood function'' (Izmailov et al. 2021). Here, we provide several…

Learning a sequence of tasks without access to i.i.d. observations is a widely studied form of continual learning (CL) that remains challenging. In principle, Bayesian learning directly applies to this setting, since recursive and one-off…

Bayesian decision theory advocates the Bayes classifier as the optimal approach for minimizing the risk in machine learning problems. Current deep learning algorithms usually solve for the optimal classifier by \emph{implicitly} estimating…

机器学习 · 计算机科学 2025-07-01 Chaoqun Du , Yulin Wang , Shiji Song , Gao Huang

A new model is presented for multisite statistical downscaling of temperature and precipitation using convolutional conditional neural processes (convCNPs). ConvCNPs are a recently developed class of models that allow deep learning…

机器学习 · 计算机科学 2021-01-21 Anna Vaughan , Will Tebbutt , J. Scott Hosking , Richard E. Turner

The problem of sequential probability forecasting is considered in the most general setting: a model set C is given, and it is required to predict as well as possible if any of the measures (environments) in C is chosen to generate the…

机器学习 · 计算机科学 2019-10-25 Daniil Ryabko

Bayesian deep learning all too often underfits so that the Bayesian prediction is less accurate than a simple point estimate. Uncertainty quantification then comes at the cost of accuracy. For linearized models, the null space of the…

机器学习 · 计算机科学 2024-10-23 Marco Miani , Hrittik Roy , Søren Hauberg

Given only positive (P) and unlabeled (U) data, PU learning can train a binary classifier without any negative data. It has two building blocks: PU class-prior estimation (CPE) and PU classification; the latter has been well studied while…

机器学习 · 计算机科学 2022-06-06 Yu Yao , Tongliang Liu , Bo Han , Mingming Gong , Gang Niu , Masashi Sugiyama , Dacheng Tao

The Bayesian method is noted to produce spuriously high posterior probabilities for phylogenetic trees in analysis of large datasets, but the precise reasons for this over-confidence are unknown. In general, the performance of Bayesian…

统计理论 · 数学 2018-10-15 Ziheng Yang , Tianqi Zhu

While significant progress has been made in specifying neural networks capable of representing uncertainty, deep networks still often suffer from overconfidence and misaligned predictive distributions. Existing approaches for measuring this…

机器学习 · 计算机科学 2025-10-24 Spencer Young , Riley Sinema , Cole Edgren , Andrew Hall , Nathan Dong , Porter Jenkins

We present Posterior Temperature Optimized Bayesian Inverse Models (POTOBIM), an unsupervised Bayesian approach to inverse problems in medical imaging using mean-field variational inference with a fully tempered posterior. Bayesian methods…

图像与视频处理 · 电气工程与系统科学 2022-02-03 Max-Heinrich Laves , Malte Tölle , Alexander Schlaefer , Sandy Engelhardt

Economists are often interested in estimating averages with respect to distributions of unobservables, such as moments of individual fixed-effects, or average partial effects in discrete choice models. For such quantities, we propose and…

计量经济学 · 经济学 2021-09-07 Stéphane Bonhomme , Martin Weidner

For models consisting of a classifier in some representation space, learning online from a non-stationary data stream often necessitates changes in the representation. So, the question arises of what is the best way to adapt the classifier…

机器学习 · 计算机科学 2024-05-08 Thomas L. Lee , Amos Storkey