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相关论文: Flexible Bayesian Last Layer Models Using Implicit…

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Bayesian Last Layers (BLLs) provide a convenient and computationally efficient way to estimate uncertainty in neural networks. However, they underestimate epistemic uncertainty because they apply a Bayesian treatment only to the final…

We introduce a deterministic variational formulation for training Bayesian last layer neural networks. This yields a sampling-free, single-pass model and loss that effectively improves uncertainty estimation. Our variational Bayesian last…

机器学习 · 计算机科学 2024-04-18 James Harrison , John Willes , Jasper Snoek

Uncertainty quantification is an important task in machine learning - a task in which standardneural networks (NNs) have traditionally not excelled. This can be a limitation for safety-critical applications, where uncertainty-aware methods…

机器学习 · 计算机科学 2024-01-05 Felix Fiedler , Sergio Lucia

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…

机器学习 · 计算机科学 2023-11-10 Anshuk Uppal , Kristoffer Stensbo-Smidt , Wouter Boomsma , Jes Frellsen

The task of quantifying the inherent uncertainty associated with neural network predictions is a key challenge in artificial intelligence. Bayesian neural networks (BNNs) and deep ensembles are among the most prominent approaches to tackle…

机器学习 · 计算机科学 2025-05-23 Valentin Villecroze , Yixin Wang , Gabriel Loaiza-Ganem

We propose a novel approach to perform approximate Bayesian inference in complex models such as Bayesian neural networks. The approach is more scalable to large data than Markov Chain Monte Carlo, it embraces more expressive models than…

机器学习 · 统计学 2022-09-07 Joel Janek Dabrowski , Daniel Edward Pagendam

Active multi-target tracking requires a mobile robot to balance exploration for undetected targets with exploitation of uncertain tracked ones. Diffusion policies have emerged as a powerful approach for capturing diverse behavioral…

机器人学 · 计算机科学 2026-04-07 Haotian Xiang , Qin Lu , Yaakov Bar-Shalom

A simple approach to obtaining uncertainty-aware neural networks for regression is to do Bayesian linear regression (BLR) on the representation from the last hidden layer. Recent work [Riquelme et al., 2018, Azizzadenesheli et al., 2018]…

机器学习 · 计算机科学 2019-12-17 John Moberg , Lennart Svensson , Juliano Pinto , Henk Wymeersch

Neural operators provide a powerful framework for learning discretization invariant mappings between function spaces, but standard deterministic models do not capture predictive uncertainty. We introduce diffusion last layer (DLL), a…

机器学习 · 计算机科学 2026-05-26 Sungwon Park , Anthony Zhou , Hongjoong Kim , Amir Barati Farimani

Beyond estimating parameters of interest from data, one of the key goals of statistical inference is to properly quantify uncertainty in these estimates. In Bayesian inference, this uncertainty is provided by the posterior distribution, the…

机器学习 · 计算机科学 2025-01-03 Daniela de Albuquerque , John Pearson

Transfer learning has recently shown significant performance across various tasks involving deep neural networks. In these transfer learning scenarios, the prior distribution for downstream data becomes crucial in Bayesian model averaging…

机器学习 · 计算机科学 2024-03-13 Hyungi Lee , Giung Nam , Edwin Fong , Juho Lee

Sampling from the posterior is a key technical problem in Bayesian statistics. Rigorous guarantees are difficult to obtain for Markov Chain Monte Carlo algorithms of common use. In this paper, we study an alternative class of algorithms…

统计理论 · 数学 2024-08-26 Andrea Montanari , Yuchen Wu

Modern neural networks tend to be overconfident on unseen, noisy or incorrectly labelled data and do not produce meaningful uncertainty measures. Bayesian deep learning aims to address this shortcoming with variational approximations (such…

机器学习 · 统计学 2018-05-28 Nick Pawlowski , Andrew Brock , Matthew C. H. Lee , Martin Rajchl , Ben Glocker

Compared to point estimates calculated by standard neural networks, Bayesian neural networks (BNN) provide probability distributions over the output predictions and model parameters, i.e., the weights. Training the weight distribution of a…

机器学习 · 计算机科学 2022-12-01 Philipp Wagner , Xinyang Wu , Marco F. Huber

We introduce a new method for learning Bayesian neural networks, treating them as a stack of multivariate Bayesian linear regression models. The main idea is to infer the layerwise posterior exactly if we know the target outputs of each…

机器学习 · 计算机科学 2024-11-20 Richard Kurle , Alexej Klushyn , Ralf Herbrich

Data augmentation is often used to incorporate inductive biases into models. Traditionally, these are hand-crafted and tuned with cross validation. The Bayesian paradigm for model selection provides a path towards end-to-end learning of…

机器学习 · 统计学 2022-03-02 Pola Schwöbel , Martin Jørgensen , Sebastian W. Ober , Mark van der Wilk

Recent progress in variational inference has paid much attention to the flexibility of variational posteriors. One promising direction is to use implicit distributions, i.e., distributions without tractable densities as the variational…

机器学习 · 统计学 2018-02-26 Jiaxin Shi , Shengyang Sun , Jun Zhu

The rising interest in Bayesian deep learning (BDL) has led to a plethora of methods for estimating the posterior distribution. However, efficient computation of inferences, such as predictions, has been largely overlooked with Monte Carlo…

机器学习 · 计算机科学 2025-07-23 Rui Li , Marcus Klasson , Arno Solin , Martin Trapp

We introduce a flexible empirical Bayes approach for fitting Bayesian generalized linear models. Specifically, we adopt a novel mean-field variational inference (VI) method and the prior is estimated within the VI algorithm, making the…

机器学习 · 统计学 2026-01-30 Dongyue Xie , Wanrong Zhu , Matthew Stephens

While Bayesian neural networks (BNNs) hold the promise of being flexible, well-calibrated statistical models, inference often requires approximations whose consequences are poorly understood. We study the quality of common variational…

机器学习 · 统计学 2020-10-26 Andrew Y. K. Foong , David R. Burt , Yingzhen Li , Richard E. Turner
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