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We reinterpret multiplicative noise in neural networks as auxiliary random variables that augment the approximate posterior in a variational setting for Bayesian neural networks. We show that through this interpretation it is both efficient…

机器学习 · 统计学 2017-06-14 Christos Louizos , Max Welling

Methods based on Deep Learning have recently been applied on astrophysical parameter recovery thanks to their ability to capture information from complex data. One of these methods is the approximate Bayesian Neural Networks (BNNs) which…

天体物理仪器与方法 · 物理学 2023-06-21 Héctor J. Hortúa , Luz Ángela García , Leonardo Castañeda C

When building a geometric scene understanding system for autonomous vehicles, it is crucial to know when the system might fail. Most contemporary approaches cast the problem as depth regression, whose output is a depth value for each pixel.…

计算机视觉与模式识别 · 计算机科学 2019-12-16 Gengshan Yang , Peiyun Hu , Deva Ramanan

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

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

Bayesian neural networks (BNNs) have recently regained a significant amount of attention in the deep learning community due to the development of scalable approximate Bayesian inference techniques. There are several advantages of using a…

机器学习 · 统计学 2023-05-02 Aliaksandr Hubin , Geir Storvik

This paper addresses the problem of learning a sparse structure Bayesian network from high-dimensional discrete data. Compared to continuous Bayesian networks, learning a discrete Bayesian network is a challenging problem due to the large…

机器学习 · 计算机科学 2022-09-27 Nazanin Shajoonnezhad , Amin Nikanjam

We examine Bayesian methods for learning Bayesian networks from a combination of prior knowledge and statistical data. In particular, we unify the approaches we presented at last year's conference for discrete and Gaussian domains. We…

人工智能 · 计算机科学 2021-07-01 David Heckerman , Dan Geiger

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

Bayesian neural network posterior distributions have a great number of modes that correspond to the same network function. The abundance of such modes can make it difficult for approximate inference methods to do their job. Recent work has…

机器学习 · 统计学 2024-07-03 Tommy Rochussen

Real-world data contains aleatoric uncertainty - irreducible noise arising from imperfect measurements or from incomplete knowledge about the data generation process. Mean-variance estimation networks can learn this type of uncertainty but…

机器学习 · 计算机科学 2026-05-29 Jiaxiang Yi , Miguel A. Bessa

Deep neural networks have achieved impressive results on a wide variety of tasks. However, quantifying uncertainty in the network's output is a challenging task. Bayesian models offer a mathematical framework to reason about model…

机器学习 · 计算机科学 2019-05-28 Manikanta Srikar Yellapragada , Chandra Prakash Konkimalla

Variational inference has been widely used in machine learning literature to fit various Bayesian models. In network analysis, this method has been successfully applied to solve the community detection problems. Although these results are…

机器学习 · 统计学 2024-05-22 Xuezhen Li , Can M. Le

Understanding the uncertainty of a neural network's (NN) predictions is essential for many purposes. The Bayesian framework provides a principled approach to this, however applying it to NNs is challenging due to large numbers of parameters…

机器学习 · 统计学 2020-02-27 Tim Pearce , Felix Leibfried , Alexandra Brintrup , Mohamed Zaki , Andy Neely

Despite its long history, Bayesian neural networks (BNNs) and variational training remain underused in practice: standard Gaussian posteriors misalign with network geometry, KL terms can be brittle in high dimensions, and implementations…

机器学习 · 计算机科学 2025-09-09 Carlos Stein Brito

Deep neural network ensembles are powerful tools for uncertainty quantification, which have recently been re-interpreted from a Bayesian perspective. However, current methods inadequately leverage second-order information of the loss…

机器学习 · 统计学 2024-11-05 Klemens Flöge , Mohammed Abdul Moeed , Vincent Fortuin

The willingness to trust predictions formulated by automatic algorithms is key in a vast number of domains. However, a vast number of deep architectures are only able to formulate predictions without an associated uncertainty. In this…

图像与视频处理 · 电气工程与系统科学 2022-09-28 Matteo Ferrante , Tommaso Boccato , Nicola Toschi

Model Compression has drawn much attention within the deep learning community recently. Compressing a dense neural network offers many advantages including lower computation cost, deployability to devices of limited storage and memories,…

机器学习 · 计算机科学 2024-11-04 Diptarka Saha , Zihe Liu , Feng Liang

A crucial task in predictive maintenance is estimating the remaining useful life of physical systems. In the last decade, deep learning has improved considerably upon traditional model-based and statistical approaches in terms of predictive…

机器学习 · 计算机科学 2024-02-05 Luca Della Libera , Jacopo Andreoli , Davide Dalle Pezze , Mirco Ravanelli , Gian Antonio Susto

Bayesian neural networks (BNNs) have recently regained a significant amount of attention in the deep learning community due to the development of scalable approximate Bayesian inference techniques. There are several advantages of using…

机器学习 · 统计学 2019-05-28 Aliaksandr Hubin , Geir Storvik