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The bias-variance trade-off is a central concept in supervised learning. In classical statistics, increasing the complexity of a model (e.g., number of parameters) reduces bias but also increases variance. Until recently, it was commonly…

Machine Learning · Statistics 2022-03-25 Jason W. Rocks , Pankaj Mehta

Domain generalization is challenging due to the domain shift and the uncertainty caused by the inaccessibility of target domain data. In this paper, we address both challenges with a probabilistic framework based on variational Bayesian…

Machine Learning · Computer Science 2021-07-16 Zehao Xiao , Jiayi Shen , Xiantong Zhen , Ling Shao , Cees G. M. Snoek

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

Neural networks have become ubiquitous tools for solving signal and image processing problems, and they often outperform standard approaches. Nevertheless, training neural networks is a challenging task in many applications. The prevalent…

Optimization and Control · Mathematics 2022-10-28 Patrick L. Combettes , Jean-Christophe Pesquet , Audrey Repetti

Generative adversarial networks (GANs) are very popular to generate realistic images, but they often suffer from the training instability issues and the phenomenon of mode loss. In order to attain greater diversity in GAN synthesized data,…

Machine Learning · Computer Science 2021-07-13 Blessen George , Vinod K. Kurmi , Vinay P. Namboodiri

In this work we perform outlier detection using ensembles of neural networks obtained by variational approximation of the posterior in a Bayesian neural network setting. The variational parameters are obtained by sampling from the true…

Machine Learning · Statistics 2017-04-25 Nick Pawlowski , Miguel Jaques , Ben Glocker

Classic ensembles generalize better than any single component model. In contrast, recent empirical studies find that modern ensembles of (overparameterized) neural networks may not provide any inherent generalization advantage over single…

Machine Learning · Statistics 2025-06-10 Niclas Dern , John P. Cunningham , Geoff Pleiss

In classification applications, we often want probabilistic predictions to reflect confidence or uncertainty. Dropout, a commonly used training technique, has recently been linked to Bayesian inference, yielding an efficient way to quantify…

Machine Learning · Computer Science 2019-06-25 Zhilu Zhang , Adrian V. Dalca , Mert R. Sabuncu

Traditional neural networks provide deterministic predictions without inherent uncertainty estimates. While Bayesian Neural Networks (BNNs) offer a principled approach to uncertainty quantification, their computational complexity limits…

Machine Learning · Statistics 2026-05-25 Rouaa Hoblos , Noura Dridi , Noureddine Zerhouni , Zeina Al Masry

\noindent Hyper-parameter selection is a central practical problem in modern machine learning, governing regularization strength, model capacity, and robustness choices. Cross-validation is often computationally prohibitive at scale, while…

Machine Learning · Statistics 2025-12-24 Hedibert Lopes , Nick Polson , Vadim Sokolov

Deep learning models, such as convolutional neural networks, have long been applied to image and multi-media tasks, particularly those with structured data. More recently, there has been more attention to unstructured data that can be…

Machine Learning · Computer Science 2021-09-17 Rohitash Chandra , Ayush Bhagat , Manavendra Maharana , Pavel N. Krivitsky

An important problem in training deep networks with high capacity is to ensure that the trained network works well when presented with new inputs outside the training dataset. Dropout is an effective regularization technique to boost the…

Computer Vision and Pattern Recognition · Computer Science 2017-12-06 Mostafa Rahmani , George Atia

A growing body of research in continual learning focuses on the catastrophic forgetting problem. While many attempts have been made to alleviate this problem, the majority of the methods assume a single model in the continual learning…

Machine Learning · Computer Science 2023-07-06 Thang Doan , Seyed Iman Mirzadeh , Mehrdad Farajtabar

Exponential random graph models are extremely difficult models to handle from a statistical viewpoint, since their normalising constant, which depends on model parameters, is available only in very trivial cases. We show how inference can…

Applications · Statistics 2010-09-30 Alberto Caimo , Nial Friel

In this article a novel approach for training deep neural networks using Bayesian techniques is presented. The Bayesian methodology allows for an easy evaluation of model uncertainty and additionally is robust to overfitting. These are…

Machine Learning · Computer Science 2019-04-03 Konstantin Posch , Jürgen Pilz

We present a novel approach using neural networks to recover X-ray spectral model parameters and quantify uncertainties, balancing accuracy and computational efficiency against traditional frequentist and Bayesian methods. Frequentist…

Instrumentation and Methods for Astrophysics · Physics 2025-04-09 A. Tutone , A. Anitra , E. Ambrosi , R. La Placa , A. D'Aì , C. Pinto , M. Del Santo , F. Pintore , A. Pagliaro , A. Anzalone , T. Di Salvo , R. Iaria , L. Burderi , A. Sanna

Graph neural networks for molecular property prediction are frequently underspecified by data and fail to generalise to new scaffolds at test time. A potential solution is Bayesian learning, which can capture our uncertainty in the model…

Biomolecules · Quantitative Biology 2020-12-04 George Lamb , Brooks Paige

Training Deep Neural Networks is complicated by the fact that the distribution of each layer's inputs changes during training, as the parameters of the previous layers change. This slows down the training by requiring lower learning rates…

Machine Learning · Computer Science 2015-03-03 Sergey Ioffe , Christian Szegedy

To obtain uncertainty estimates with real-world Bayesian deep learning models, practical inference approximations are needed. Dropout variational inference (VI) for example has been used for machine vision and medical applications, but VI…

Machine Learning · Computer Science 2017-03-09 Yingzhen Li , Yarin Gal

Recent work has focused on data-driven learning of the evolution of unknown systems via deep neural networks (DNNs), with the goal of conducting long time prediction of the evolution of the unknown system. Training a DNN with low…

Machine Learning · Computer Science 2022-12-28 Victor Churchill , Steve Manns , Zhen Chen , Dongbin Xiu
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