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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

Sequential Bayesian inference over predictive functions is a natural framework for continual learning from streams of data. However, applying it to neural networks has proved challenging in practice. Addressing the drawbacks of existing…

机器学习 · 统计学 2023-12-29 Tim G. J. Rudner , Freddie Bickford Smith , Qixuan Feng , Yee Whye Teh , Yarin Gal

Neural networks are popular state-of-the-art models for many different tasks.They are often trained via back-propagation to find a value of the weights that correctly predicts the observed data. Although back-propagation has shown good…

机器学习 · 统计学 2020-12-29 Simón Rodríguez Santana , Daniel Hernández-Lobato

Posterior distributions arising in ill-posed Bayesian inverse problems are often both analytically intractable and highly sensitive to parameters of the chosen prior family. We aim to understand the sensitivity of intractable posterior…

统计方法学 · 统计学 2026-04-20 Yucong Liu , Zilai Si , Alexander Strang

Bayesian deep learning counts on the quality of posterior distribution estimation. However, the posterior of deep neural networks is highly multi-modal in nature, with local modes exhibiting varying generalization performance. Given a…

机器学习 · 计算机科学 2024-03-27 Bolian Li , Ruqi Zhang

A variational inference-based framework for training a multi-output Gaussian process latent variable model, specifically tailored to the tails-up spatio-temporal stream network, is developed. Training, given a censored observational data…

统计方法学 · 统计学 2026-05-21 Marno Basson , Tobias M. Louw , Theresa R. Smith

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

Convolutional neural networks (CNNs) work well on large datasets. But labelled data is hard to collect, and in some applications larger amounts of data are not available. The problem then is how to use CNNs with small data -- as CNNs…

机器学习 · 统计学 2016-01-19 Yarin Gal , Zoubin Ghahramani

In statistical learning for real-world large-scale data problems, one must often resort to "streaming" algorithms which operate sequentially on small batches of data. In this work, we present an analysis of the information-theoretic limits…

机器学习 · 统计学 2018-01-22 Andre Manoel , Florent Krzakala , Eric W. Tramel , Lenka Zdeborová

The fairness of a deep neural network is strongly affected by dataset bias and spurious correlations, both of which are usually present in modern feature-rich and complex visual datasets. Due to the difficulty and variability of the task,…

计算机视觉与模式识别 · 计算机科学 2024-02-28 Rebecca S Stone , Nishant Ravikumar , Andrew J Bulpitt , David C Hogg

Bayesian inference was once a gold standard for learning with neural networks, providing accurate full predictive distributions and well calibrated uncertainty. However, scaling Bayesian inference techniques to deep neural networks is…

The key distinguishing property of a Bayesian approach is marginalization instead of optimization, not the prior, or Bayes rule. Bayesian inference is especially compelling for deep neural networks. (1) Neural networks are typically…

机器学习 · 计算机科学 2020-01-30 Andrew Gordon Wilson

Quantifying uncertainty in neural networks is a highly relevant problem which is essential to many applications. The two predominant paradigms to tackle this task are Bayesian neural networks (BNNs) and deep ensembles. Despite some…

机器学习 · 计算机科学 2025-01-31 Gabriel Loaiza-Ganem , Valentin Villecroze , Yixin Wang

Bayesian deep learning (BDL) has emerged as a principled approach to produce reliable uncertainty estimates by integrating deep neural networks with Bayesian inference, and the selection of informative prior distributions remains a…

机器学习 · 计算机科学 2026-02-26 Pengcheng Hao , Ercan Engin Kuruoglu

Bayesian neural networks (BNNs) have recently gained popularity due to their ability to quantify model uncertainty. However, specifying a prior for BNNs that captures relevant domain knowledge is often extremely challenging. In this work,…

机器学习 · 计算机科学 2024-02-22 Dylan Sam , Rattana Pukdee , Daniel P. Jeong , Yewon Byun , J. Zico Kolter

A novel formalism for Bayesian learning in the context of complex inference models is proposed. The method is based on the use of the Stationary Fokker--Planck (SFP) approach to sample from the posterior density. Stationary Fokker--Planck…

无序系统与神经网络 · 物理学 2009-10-26 Arturo Berrones

Uncovering rationales behind predictions of graph neural networks (GNNs) has received increasing attention over the years. Existing literature mainly focus on selecting a subgraph, through combinatorial optimization, to provide faithful…

机器学习 · 计算机科学 2023-03-07 Wenqian Li , Yinchuan Li , Zhigang Li , Jianye Hao , Yan Pang

Efficiently aggregating data from different sources is a challenging problem, particularly when samples from each source are distributed differently. These differences can be inherent to the inference task or present for other reasons:…

机器学习 · 计算机科学 2017-11-15 Matthew Staib , Sebastian Claici , Justin Solomon , Stefanie Jegelka

Bayesian Neural Networks (BNN) have emerged as a crucial approach for interpreting ML predictions. By sampling from the posterior distribution, data scientists may estimate the uncertainty of an inference. Unfortunately many inference…

机器学习 · 计算机科学 2023-11-23 Thomas D. Ahle , Sahar Karimi , Peter Tak Peter Tang

Generative flow networks (GFlowNets) are a family of algorithms that learn a generative policy to sample discrete objects $x$ with non-negative reward $R(x)$. Learning objectives guarantee the GFlowNet samples $x$ from the target…