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Deep-learning-based data-driven forecasting methods have produced impressive results for traffic forecasting. A major limitation of these methods, however, is that they provide forecasts without estimates of uncertainty, which are critical…

机器学习 · 计算机科学 2022-04-07 Tanwi Mallick , Prasanna Balaprakash , Jane Macfarlane

Neural networks make accurate predictions but often fail to provide reliable uncertainty estimates, especially under covariate distribution shifts between training and testing. To address this problem, we propose a Bayesian framework for…

机器学习 · 统计学 2025-12-22 Yuli Slavutsky , David M. Blei

Active learning methods for neural networks are usually based on greedy criteria which ultimately give a single new design point for the evaluation. Such an approach requires either some heuristics to sample a batch of design points at one…

机器学习 · 计算机科学 2020-01-28 Evgenii Tsymbalov , Sergei Makarychev , Alexander Shapeev , Maxim Panov

The Laplace approximation is a popular method for constructing a Gaussian approximation to the Bayesian posterior and thereby approximating the posterior mean and variance. But approximation quality is a concern. One might consider using…

统计理论 · 数学 2025-06-17 Mikołaj J. Kasprzak , Ryan Giordano , Tamara Broderick

This paper considers the problem of sequential fusion of predictions from neural networks (NN) and fusion of predictions from multiple NN. This fusion strategy increases the robustness, i.e., reduces the impact of one incorrect…

信号处理 · 电气工程与系统科学 2023-10-13 Magnus Malmström , Isaac Skog , Daniel Axehill , Fredrik Gustafsson

Real-world sensor-based learning systems require uncertainty estimation that is both reliable and computationally efficient. Evidential Deep Learning (EDL) provides single-pass uncertainty estimation by modeling the class probabilities via…

机器学习 · 计算机科学 2026-05-22 Berk Hayta , Hannah Laus , Simon Mittermaier , Felix Krahmer

Sampling-based methods, e.g., Deep Ensembles and Bayesian Neural Nets have become promising approaches to improve the quality of uncertainty estimation and robust generalization. However, they suffer from a large model size and high latency…

机器学习 · 计算机科学 2024-05-29 Ha Manh Bui , Anqi Liu

In this paper, we provide an explicit probability distribution for classification purposes. It is derived from the Bayesian nonparametric mixture of Dirichlet process model, but with suitable modifications which remove unsuitable aspects of…

应用统计 · 统计学 2009-05-05 Ruth Fuentes-Garcia , Ramses H Mena , Stephen G Walker

Non-Gaussian likelihoods are essential for modelling complex real-world observations but pose significant computational challenges in learning and inference. Even with Gaussian priors, non-Gaussian likelihoods often lead to analytically…

机器学习 · 统计学 2024-10-29 Thang D. Bui

We provide a new characterization of the Dirichlet distribution. This characterization implies that under assumptions made by several previous authors for learning belief networks, a Dirichlet prior on the parameters is inevitable.

人工智能 · 计算机科学 2013-02-21 Dan Geiger , David Heckerman

Variational Bayesian Inference is a popular methodology for approximating posterior distributions over Bayesian neural network weights. Recent work developing this class of methods has explored ever richer parameterizations of the…

Modern applications routinely collect high-dimensional data, leading to statistical models having more parameters than there are samples available. A common solution is to impose sparsity in parameter estimation, often using penalized…

统计方法学 · 统计学 2025-07-08 Paolo Onorati , David B. Dunson , Antonio Canale

Deep neural networks (DNNs) are often constructed under the closed-world assumption, which may fail to generalize to the out-of-distribution (OOD) data. This leads to DNNs producing overconfident wrong predictions and can result in…

机器学习 · 统计学 2024-12-31 Yang Chen , Chih-Li Sung , Arpan Kusari , Xiaoyang Song , Wenbo Sun

This paper introduces the Bayesian Confidence Estimator (BACON) for deep neural networks. Current practice of interpreting Softmax values in the output layer as probabilities of outcomes is prone to extreme predictions of class probability.…

机器学习 · 计算机科学 2024-10-17 Patrick D. Kee , Max J. Brown , Jonathan C. Rice , Christian A. Howell

We propose and investigate new complementary methodologies for estimating predictive variance networks in regression neural networks. We derive a locally aware mini-batching scheme that result in sparse robust gradients, and show how to…

机器学习 · 统计学 2019-11-05 Nicki S. Detlefsen , Martin Jørgensen , Søren Hauberg

In recent years, inconsistency in Bayesian deep learning has attracted significant attention. Tempered or generalized posterior distributions are frequently employed as direct and effective solutions. Nonetheless, the underlying mechanisms…

机器学习 · 计算机科学 2025-09-23 Yinsong Chen , Samson S. Yu , Zhong Li , Chee Peng Lim

As overparameterized models become increasingly prevalent, training loss alone offers limited insight into generalization performance. While smoothness has been linked to improved generalization across various settings, directly enforcing…

机器学习 · 计算机科学 2025-09-30 Yifan Hao , Yanxin Lu , Hanning Zhang , Xinwei Shen , Tong Zhang

A reliable representation of uncertainty is essential for the application of modern machine learning methods in safety-critical settings. In this regard, the use of credal sets (i.e., convex sets of probability distributions) has recently…

机器学习 · 计算机科学 2026-03-10 Paul Hofman , Timo Löhr , Maximilian Muschalik , Yusuf Sale , Eyke Hüllermeier

We introduce implicit Bayesian neural networks, a simple and scalable approach for uncertainty representation in deep learning. Standard Bayesian approach to deep learning requires the impractical inference of the posterior distribution…

机器学习 · 统计学 2020-10-27 Trung Trinh , Samuel Kaski , Markus Heinonen

A Bayesian belief network models a joint distribution with an directed acyclic graph representing dependencies among variables and network parameters characterizing conditional distributions. The parameters are viewed as random variables to…

人工智能 · 计算机科学 2012-05-14 Peter Hooper , Yasin Abbasi-Yadkori , Russell Greiner , Bret Hoehn