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Although deep neural networks have demonstrated significant success due to their powerful expressiveness, most models struggle to meet practical requirements for uncertainty estimation. Concurrently, the entangled nature of deep neural…

Machine Learning · Computer Science 2025-05-29 Xinyue Hu , Zhibin Duan , Bo Chen , Mingyuan Zhou

Deep Neural Networks (DNNs) do not inherently compute or exhibit empirically-justified task confidence. In mission critical applications, it is important to both understand associated DNN reasoning and its supporting evidence. In this…

Machine Learning · Computer Science 2024-03-14 Paul Ardis , Arjuna Flenner

Bayesian approaches for learning deep neural networks (BNN) have been received much attention and successfully applied to various applications. Particularly, BNNs have the merit of having better generalization ability as well as better…

Machine Learning · Statistics 2023-05-25 Insung Kong , Dongyoon Yang , Jongjin Lee , Ilsang Ohn , Gyuseung Baek , Yongdai Kim

Motivated by the gap between theoretical optimal approximation rates of deep neural networks (DNNs) and the accuracy realized in practice, we seek to improve the training of DNNs. The adoption of an adaptive basis viewpoint of DNNs leads to…

Machine Learning · Computer Science 2019-12-11 Eric C. Cyr , Mamikon A. Gulian , Ravi G. Patel , Mauro Perego , Nathaniel A. Trask

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…

Machine Learning · Statistics 2024-11-05 Klemens Flöge , Mohammed Abdul Moeed , Vincent Fortuin

Bayesian Neural Networks (BNNs) that possess a property of uncertainty estimation have been increasingly adopted in a wide range of safety-critical AI applications which demand reliable and robust decision making, e.g., self-driving, rescue…

Hardware Architecture · Computer Science 2021-10-08 Qiyu Wan , Haojun Xia , Xingyao Zhang , Lening Wang , Shuaiwen Leon Song , Xin Fu

This work presents a novel ensemble of Bayesian Neural Networks (BNNs) for control of safety-critical systems. Decision making for safety-critical systems is challenging due to performance requirements with significant consequences in the…

Robotics · Computer Science 2020-01-10 Keuntaek Lee , Ziyi Wang , Bogdan I. Vlahov , Harleen K. Brar , Evangelos A. Theodorou

The trustworthiness of neural networks is often challenged because they lack the ability to express uncertainty and explain their skill. This can be problematic given the increasing use of neural networks in high stakes decision-making such…

Atmospheric and Oceanic Physics · Physics 2022-12-07 Mariana C. A. Clare , Maike Sonnewald , Redouane Lguensat , Julie Deshayes , Venkatramani Balaji

For the retrieval of large-scale vegetation biophysical parameters, the inversion of radiative transfer models (RTMs) is the most commonly used approach. In recent years, Artificial Neural Network (ANN)-based methods have become the…

Machine Learning · Computer Science 2024-11-08 Dasheng Fan , Xihan Mu , Yongkang Lai , Donghui Xie , Guangjian Yan

Deep Neural Networks (DNNs) are widely used for their ability to effectively approximate large classes of functions. This flexibility, however, makes the strict enforcement of constraints on DNNs an open problem. Here we present a framework…

Machine Learning · Computer Science 2023-02-10 Eric Marcus , Ray Sheombarsing , Jan-Jakob Sonke , Jonas Teuwen

In this paper, we introduce BNN-DP, an efficient algorithmic framework for analysis of adversarial robustness of Bayesian Neural Networks (BNNs). Given a compact set of input points $T\subset \mathbb{R}^n$, BNN-DP computes lower and upper…

Machine Learning · Computer Science 2023-06-21 Steven Adams , Andrea Patane , Morteza Lahijanian , Luca Laurenti

Artificial neural networks will always make a prediction, even when completely uncertain and regardless of the consequences. This obliviousness of uncertainty is a major obstacle towards their adoption in practice. Techniques exist,…

Machine Learning · Computer Science 2021-05-13 Hans Weytjens , Jochen De Weerdt

While offering a principled framework for uncertainty quantification in deep learning, the employment of Bayesian Neural Networks (BNNs) is still constrained by their increased computational requirements and the convergence difficulties…

Machine Learning · Computer Science 2025-05-26 Moule Lin , Shuhao Guan , Weipeng Jing , Goetz Botterweck , Andrea Patane

This paper introduces a novel approach to quantify the uncertainties in fault diagnosis of motor drives using Bayesian neural networks (BNN). Conventional data-driven approaches used for fault diagnosis often rely on point-estimate neural…

Systems and Control · Electrical Eng. & Systems 2024-12-16 Subham Sahoo , Huai Wang , Frede Blaabjerg

We propose a novel deep learning tool in order to study the evolution of dark energy models. The aim is to combine two architectures: the Recurrent Neural Networks (RNN) and the Bayesian Neural Networks (BNN), we named this full network as…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-18 Celia Escamilla-Rivera , Maryi Alejandra Carvajal Quintero , S. Capozziello

We propose Impatient Deep Neural Networks (DNNs) which deal with dynamic time budgets during application. They allow for individual budgets given a priori for each test example and for anytime prediction, i.e., a possible interruption at…

Computer Vision and Pattern Recognition · Computer Science 2016-10-11 Manuel Amthor , Erik Rodner , Joachim Denzler

Deep neural networks (DNNs) are known for extracting useful information from large amounts of data. However, the representations learned in DNNs are typically hard to interpret, especially in dense layers. One crucial issue of the classical…

Neural and Evolutionary Computing · Computer Science 2021-05-06 Yuyang Gao , Giorgio A. Ascoli , Liang Zhao

Neural Linear Models (NLM) are deep Bayesian models that produce predictive uncertainties by learning features from the data and then performing Bayesian linear regression over these features. Despite their popularity, few works have…

Machine Learning · Statistics 2021-12-17 Sujay Thakur , Cooper Lorsung , Yaniv Yacoby , Finale Doshi-Velez , Weiwei Pan

Due to the growing adoption of deep neural networks in many fields of science and engineering, modeling and estimating their uncertainties has become of primary importance. Despite the growing literature about uncertainty quantification in…

Machine Learning · Computer Science 2023-02-15 Brian Staber , Sébastien Da Veiga

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…

Machine Learning · Statistics 2018-05-28 Nick Pawlowski , Andrew Brock , Matthew C. H. Lee , Martin Rajchl , Ben Glocker
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