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Being able to reliably assess not only the \emph{accuracy} but also the \emph{uncertainty} of models' predictions is an important endeavour in modern machine learning. Even if the model generating the data and labels is known, computing the…

机器学习 · 计算机科学 2023-09-12 Lucas Clarté , Bruno Loureiro , Florent Krzakala , Lenka Zdeborová

Modeling uncertainty in deep neural networks, despite recent important advances, is still an open problem. Bayesian neural networks are a powerful solution, where the prior over network weights is a design choice, often a normal…

机器学习 · 统计学 2019-10-29 Raanan Y. Rohekar , Yaniv Gurwicz , Shami Nisimov , Gal Novik

Uncertainty is the only certainty there is. Modeling data uncertainty is essential for regression, especially in unconstrained settings. Traditionally the direct regression formulation is considered and the uncertainty is modeled by…

计算机视觉与模式识别 · 计算机科学 2021-03-26 Wanhua Li , Xiaoke Huang , Jiwen Lu , Jianjiang Feng , Jie Zhou

Bayesian inference for inverse problems hinges critically on the choice of priors. In the absence of specific prior information, population-level distributions can serve as effective priors for parameters of interest. With the advent of…

天体物理仪器与方法 · 物理学 2025-02-11 Gabriel Missael Barco , Alexandre Adam , Connor Stone , Yashar Hezaveh , Laurence Perreault-Levasseur

Estimating how uncertain an AI system is in its predictions is important to improve the safety of such systems. Uncertainty in predictive can result from uncertainty in model parameters, irreducible data uncertainty and uncertainty due to…

机器学习 · 统计学 2018-12-03 Andrey Malinin , Mark Gales

Graphical model learning and inference are often performed using Bayesian techniques. In particular, learning is usually performed in two separate steps. First, the graph structure is learned from the data; then the parameters of the model…

统计理论 · 数学 2013-09-09 Marco Scutari

Bayesian inference promises a framework for principled uncertainty quantification of neural network predictions. Barriers to adoption include the difficulty of fully characterizing posterior distributions on network parameters and the…

机器学习 · 统计学 2025-01-22 Katharine Fisher , Youssef Marzouk

Density Ratio Estimation has attracted attention from the machine learning community due to its ability to compare the underlying distributions of two datasets. However, in some applications, we want to compare distributions of random…

机器学习 · 统计学 2020-06-26 Song Liu , Yulong Zhang , Mingxuan Yi , Mladen Kolar

This paper develops a methodology for approximating the posterior first two moments of the posterior distribution in Bayesian inference. Partially specified probability models, which are defined only by specifying means and variances, are…

统计方法学 · 统计学 2009-01-27 K. Triantafyllopoulos , P. J. Harrison

Real-world data are long-tailed, the lack of tail samples leads to a significant limitation in the generalization ability of the model. Although numerous approaches of class re-balancing perform well for moderate class imbalance problems,…

计算机视觉与模式识别 · 计算机科学 2024-09-04 Yanbiao Ma , Licheng Jiao , Fang Liu , Shuyuan Yang , Xu Liu , Puhua Chen

Uncertainty quantification is essential when dealing with ill-conditioned inverse problems due to the inherent nonuniqueness of the solution. Bayesian approaches allow us to determine how likely an estimation of the unknown parameters is…

机器学习 · 统计学 2020-01-16 Ali Siahkoohi , Gabrio Rizzuti , Felix J. Herrmann

Accurate estimation of aleatoric and epistemic uncertainty is crucial to build safe and reliable systems. Traditional approaches, such as dropout and ensemble methods, estimate uncertainty by sampling probability predictions from different…

机器学习 · 计算机科学 2020-10-23 Bertrand Charpentier , Daniel Zügner , Stephan Günnemann

Bayesian inference can quantify uncertainty in the predictions of neural networks using posterior distributions for model parameters and network output. By looking at these posterior distributions, one can separate the origin of uncertainty…

机器学习 · 计算机科学 2023-11-23 H. Linander , O. Balabanov , H. Yang , B. Mehlig

We introduce a new, rigorously-formulated Bayesian meta-learning algorithm that learns a probability distribution of model parameter prior for few-shot learning. The proposed algorithm employs a gradient-based variational inference to infer…

机器学习 · 计算机科学 2022-03-21 Cuong Nguyen , Thanh-Toan Do , Gustavo Carneiro

Bayesian inference allows machine learning models to express uncertainty. Current machine learning models use only a single learnable parameter combination when making predictions, and as a result are highly overconfident when their…

机器学习 · 计算机科学 2022-02-23 Andrew Wood , Moshik Hershcovitch , Daniel Waddington , Sarel Cohen , Peter Chin

Learning-based solutions for long-tailed recognition face difficulties in generalizing on balanced test datasets. Due to imbalanced data prior, the learned \textit{a posteriori} distribution is biased toward the most frequent (head)…

计算机视觉与模式识别 · 计算机科学 2024-12-24 S Divakar Bhat , Amit More , Mudit Soni , Surbhi Agrawal

We consider the problem of parameter estimation using weakly supervised datasets, where a training sample consists of the input and a partially specified annotation, which we refer to as the output. The missing information in the annotation…

机器学习 · 计算机科学 2012-06-22 M. Pawan Kumar , Ben Packer , Daphne Koller

Prior distributions for high-dimensional linear regression require specifying a joint distribution for the unobserved regression coefficients, which is inherently difficult. We instead propose a new class of shrinkage priors for linear…

统计方法学 · 统计学 2020-07-09 Yan Dora Zhang , Brian P. Naughton , Howard D. Bondell , Brian J. Reich

Hyper-differential sensitivity analysis with respect to model discrepancy was recently developed to enable uncertainty quantification for optimization problems. The approach consists of two primary steps: (i) Bayesian calibration of the…

Probabilistic modeling is cyclical: we specify a model, infer its posterior, and evaluate its performance. Evaluation drives the cycle, as we revise our model based on how it performs. This requires a metric. Traditionally, predictive…

机器学习 · 统计学 2016-05-25 Alp Kucukelbir , David M. Blei
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