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Variational Bayesian neural networks (BNNs) perform variational inference over weights, but it is difficult to specify meaningful priors and approximate posteriors in a high-dimensional weight space. We introduce functional variational…

Machine Learning · Computer Science 2019-03-15 Shengyang Sun , Guodong Zhang , Jiaxin Shi , Roger Grosse

Deep networks, especially convolutional neural networks (CNNs), have been successfully applied in various areas of machine learning as well as to challenging problems in other scientific and engineering fields. This paper introduces…

Numerical Analysis · Mathematics 2020-05-04 Yingzhou Li , Xiuyuan Cheng , Jianfeng Lu

Supervised learning of convolutional neural networks (CNNs) can require very large amounts of labeled data. Labeling thousands or millions of training examples can be extremely time consuming and costly. One direction towards addressing…

Computer Vision and Pattern Recognition · Computer Science 2017-07-27 Amir Ghaderi , Vassilis Athitsos

We propose a local modelling approach using deep convolutional neural networks (CNNs) for fine-grained image classification. Recently, deep CNNs trained from large datasets have considerably improved the performance of object recognition.…

Computer Vision and Pattern Recognition · Computer Science 2015-03-02 ZongYuan Ge , Chris McCool , Conrad Sanderson , Peter Corke

Modern neural network architectures have achieved remarkable accuracies but remain highly dependent on their training data, often lacking interpretability in their learned mappings. While effective on large datasets, they tend to overfit on…

Machine Learning · Computer Science 2025-03-19 Pavia Bera , Sanjukta Bhanja

Convolutional Neural Network (CNN) image classifiers are traditionally designed to have sequential convolutional layers with a single output layer. This is based on the assumption that all target classes should be treated equally and…

Computer Vision and Pattern Recognition · Computer Science 2017-10-06 Xinqi Zhu , Michael Bain

Deep learning Convolutional Neural Network (CNN) models are powerful classification models but require a large amount of training data. In niche domains such as bird acoustics, it is expensive and difficult to obtain a large number of…

Computer Vision and Pattern Recognition · Computer Science 2019-09-18 Dina B. Efremova , Mangalam Sankupellay , Dmitry A. Konovalov

Deep neural networks (NNs) are powerful black box predictors that have recently achieved impressive performance on a wide spectrum of tasks. Quantifying predictive uncertainty in NNs is a challenging and yet unsolved problem. Bayesian NNs,…

Machine Learning · Statistics 2017-11-07 Balaji Lakshminarayanan , Alexander Pritzel , Charles Blundell

Neural networks are powerful function approximators with tremendous potential in learning complex distributions. However, they are prone to overfitting on spurious patterns. Bayesian inference provides a principled way to regularize neural…

Machine Learning · Computer Science 2024-12-02 Yanzhe Bekkemoen , Helge Langseth

Very deep convolutional neural networks (CNNs) yield state of the art results on a wide variety of visual recognition problems. A number of state of the the art methods for image recognition are based on networks with well over 100 layers…

Computer Vision and Pattern Recognition · Computer Science 2016-07-15 Joel Moniz , Christopher Pal

In multimedia forensics, learning-based methods provide state-of-the-art performance in determining origin and authenticity of images and videos. However, most existing methods are challenged by out-of-distribution data, i.e., with…

Machine Learning · Computer Science 2020-07-29 Anatol Maier , Benedikt Lorch , Christian Riess

Bayesian neural networks (BNNs) demonstrate promising success in improving the robustness and uncertainty quantification of modern deep learning. However, they generally struggle with underfitting at scale and parameter efficiency. On the…

We study wide Bayesian neural networks focusing on the rare but statistically dominant fluctuations that govern posterior concentration, beyond Gaussian-process limits. Large-deviation theory provides explicit variational objectives-rate…

Machine Learning · Statistics 2026-02-27 Katerina Papagiannouli , Dario Trevisan , Giuseppe Pio Zitto

Ensembles of neural networks (NNs) have long been used to estimate predictive uncertainty; a small number of NNs are trained from different initialisations and sometimes on differing versions of the dataset. The variance of the ensemble's…

Machine Learning · Computer Science 2018-11-30 Tim Pearce , Mohamed Zaki , Andy Neely

Convolutional Neural Networks (CNNs) are a standard approach for visual recognition due to their capacity to learn hierarchical representations from raw pixels. In practice, practitioners often choose among (i) training a compact custom CNN…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Annoor Sharara Akhand

Neural networks are vulnerable to input perturbations such as additive noise and adversarial attacks. In contrast, human perception is much more robust to such perturbations. The Bayesian brain hypothesis states that human brains use an…

Machine Learning · Computer Science 2020-11-11 Yujia Huang , James Gornet , Sihui Dai , Zhiding Yu , Tan Nguyen , Doris Y. Tsao , Anima Anandkumar

Approximate Bayesian Computation is widely used in systems biology for inferring parameters in stochastic gene regulatory network models. Its performance hinges critically on the ability to summarize high-dimensional system responses such…

Machine Learning · Statistics 2021-04-13 Mattias Åkesson , Prashant Singh , Fredrik Wrede , Andreas Hellander

To get Bayesian neural networks to perform comparably to standard neural networks it is usually necessary to artificially reduce uncertainty using a "tempered" or "cold" posterior. This is extremely concerning: if the prior is accurate,…

Machine Learning · Statistics 2021-04-28 Laurence Aitchison

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…

Machine Learning · Statistics 2022-09-07 Joel Janek Dabrowski , Daniel Edward Pagendam

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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