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In recent years, large-scale Bayesian learning draws a great deal of attention. However, in big-data era, the amount of data we face is growing much faster than our ability to deal with it. Fortunately, it is observed that large-scale…

Machine Learning · Computer Science 2022-02-15 Qianqian Song

We present extensive empirical evidence showing that current Bayesian simulation-based inference algorithms can produce computationally unfaithful posterior approximations. Our results show that all benchmarked algorithms -- (Sequential)…

Machine Learning · Statistics 2022-12-06 Joeri Hermans , Arnaud Delaunoy , François Rozet , Antoine Wehenkel , Volodimir Begy , Gilles Louppe

Despite the great success of state-of-the-art deep neural networks, several studies have reported models to be over-confident in predictions, indicating miscalibration. Label Smoothing has been proposed as a solution to the over-confidence…

Computer Vision and Pattern Recognition · Computer Science 2023-01-31 Shuang Ao , Stefan Rueger , Advaith Siddharthan

Nowadays model uncertainty has become one of the most important problems in both academia and industry. In this paper, we mainly consider the scenario in which we have a common model set used for model averaging instead of selecting a…

Machine Learning · Computer Science 2023-01-26 Yimin Huang , Weiran Huang , Liang Li , Zhenguo Li

Bayesian models are a powerful tool for studying complex data, allowing the analyst to encode rich hierarchical dependencies and leverage prior information. Most importantly, they facilitate a complete characterization of uncertainty…

Machine Learning · Statistics 2023-04-25 Steven Winter , Trevor Campbell , Lizhen Lin , Sanvesh Srivastava , David B. Dunson

From a Bayesian perspective, score-based diffusion solves inverse problems through joint inference, embedding the likelihood with the prior to guide the sampling process. However, this formulation fails to explain its practical behavior:…

Artificial Intelligence · Computer Science 2026-05-13 Hao Chen , Renzheng Zhang , Scott S. Howard

Current literature on posterior approximation for Bayesian inference offers many alternative methods. Does our chosen approximation scheme work well on the observed data? The best existing generic diagnostic tools treating this kind of…

Computation · Statistics 2020-06-22 Hanwen Xing , Geoff K. Nicholls , Jeong Eun Lee

As we move away from the data, the predictive uncertainty should increase, since a great variety of explanations are consistent with the little available information. We introduce Distance-Aware Prior (DAP) calibration, a method to correct…

Machine Learning · Statistics 2022-07-19 Gianluca Detommaso , Alberto Gasparin , Andrew Wilson , Cedric Archambeau

Label smoothing is a widely studied regularization technique in machine learning. However, its potential for node classification in graph-structured data, spanning homophilic to heterophilic graphs, remains largely unexplored. We introduce…

Machine Learning · Computer Science 2026-02-02 Jaeseung Heo , Moonjeong Park , Dongwoo Kim

Many modern experiments, such as microarray gene expression and genome-wide association studies, present the problem of estimating a large number of parallel effects. Bayesian inference is a popular approach for analyzing such data by…

Methodology · Statistics 2018-10-26 J G Liao , Arthur Berg , Timothy L McMurry

Model-based filtering is often carried out while subject to an imperfect model, as learning partially-observable stochastic systems remains a challenge. Recent work on Bayesian inference found that tempering the likelihood or full posterior…

Systems and Control · Electrical Eng. & Systems 2025-12-03 Menno van Zutphen , Domagoj Herceg , Giannis Delimpaltadakis , Duarte J. Antunes

Bayesian methods are appealing in their flexibility in modeling complex data and ability in capturing uncertainty in parameters. However, when Bayes' rule does not result in tractable closed-form, most approximate inference algorithms lack…

Machine Learning · Computer Science 2016-05-09 Bo Dai , Niao He , Hanjun Dai , Le Song

In variational inference, the benefits of Bayesian models rely on accurately capturing the true posterior distribution. We propose using neural samplers that specify implicit distributions, which are well-suited for approximating complex…

Machine Learning · Computer Science 2023-11-10 Anshuk Uppal , Kristoffer Stensbo-Smidt , Wouter Boomsma , Jes Frellsen

Sequential Bayesian inference can be used for continual learning to prevent catastrophic forgetting of past tasks and provide an informative prior when learning new tasks. We revisit sequential Bayesian inference and test whether having…

Machine Learning · Computer Science 2025-01-09 Samuel Kessler , Adam Cobb , Tim G. J. Rudner , Stefan Zohren , Stephen J. Roberts

Exemplar-based clustering methods have been shown to produce state-of-the-art results on a number of synthetic and real-world clustering problems. They are appealing because they offer computational benefits over latent-mean models and can…

Machine Learning · Computer Science 2012-06-18 Daniel Tarlow , Richard S. Zemel , Brendan J. Frey

In this article, we study the binary classification problem with supervised data, in the case where the covariate-to-probability-of-success map is possibly spatially inhomogeneous. We devise nonparametric Bayesian procedures with…

Statistics Theory · Mathematics 2025-09-10 Matteo Giordano

Recent progress has shown that large-scale pre-training using contrastive image-text pairs can be a promising alternative for high-quality visual representation learning from natural language supervision. Benefiting from a broader source of…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Yongming Rao , Wenliang Zhao , Guangyi Chen , Yansong Tang , Zheng Zhu , Guan Huang , Jie Zhou , Jiwen Lu

Deep Learning models are vulnerable to adversarial examples, i.e.\ images obtained via deliberate imperceptible perturbations, such that the model misclassifies them with high confidence. However, class confidence by itself is an incomplete…

Machine Learning · Statistics 2017-11-23 Ambrish Rawat , Martin Wistuba , Maria-Irina Nicolae

The reliable measurement of confidence in classifiers' predictions is very important for many applications and is, therefore, an important part of classifier design. Yet, although deep learning has received tremendous attention in recent…

Artificial Intelligence · Computer Science 2020-07-01 Amit Mandelbaum , Daphna Weinshall

Especially when facing reliability data with limited information (e.g., a small number of failures), there are strong motivations for using Bayesian inference methods. These include the option to use information from physics-of-failure or…

Methodology · Statistics 2022-10-27 Qinglong Tian , Colin Lewis-Beck , Jarad Niemi , William Meeker