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Bayesian optimization is a highly efficient approach to optimizing objective functions which are expensive to query. These objectives are typically represented by Gaussian process (GP) surrogate models which are easy to optimize and support…

Machine Learning · Computer Science 2024-05-09 Yucen Lily Li , Tim G. J. Rudner , Andrew Gordon Wilson

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…

Machine Learning · Statistics 2020-02-27 Tim Pearce , Felix Leibfried , Alexandra Brintrup , Mohamed Zaki , Andy Neely

Bayesian Neural Networks (BNNs) are trained to optimize an entire distribution over their weights instead of a single set, having significant advantages in terms of, e.g., interpretability, multi-task learning, and calibration. Because of…

Machine Learning · Computer Science 2022-10-07 Jary Pomponi , Simone Scardapane , Aurelio Uncini

Bayesian neural networks (BNN) can estimate the uncertainty in predictions, as opposed to non-Bayesian neural networks (NNs). However, BNNs have been far less widely used than non-Bayesian NNs in practice since they need iterative NN…

Machine Learning · Computer Science 2022-02-15 Namuk Park , Taekyu Lee , Songkuk Kim

Quantifying image distortions caused by strong gravitational lensing and estimating the corresponding matter distribution in lensing galaxies has been primarily performed by maximum likelihood modeling of observations. This is typically a…

Instrumentation and Methods for Astrophysics · Physics 2017-09-20 Yashar D. Hezaveh , Laurence Perreault Levasseur , Philip J. Marshall

Next-generation cosmic microwave background (CMB) experiments will have lower noise and therefore increased sensitivity, enabling improved constraints on fundamental physics parameters such as the sum of neutrino masses and the…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-16 João Caldeira , W. L. Kimmy Wu , Brian Nord , Camille Avestruz , Shubhendu Trivedi , Kyle T. Story

Gravitational lensing is a powerful tool for constraining substructure in the mass distribution of galaxies, be it from the presence of dark matter sub-halos or due to physical mechanisms affecting the baryons throughout galaxy evolution.…

Astrophysics of Galaxies · Physics 2020-10-28 Georgios Vernardos , Grigorios Tsagkatakis , Yannis Pantazis

Datasets in engineering applications are often limited and contaminated, mainly due to unavoidable measurement noise and signal distortion. Thus, using conventional data-driven approaches to build a reliable discriminative model, and…

Machine Learning · Statistics 2020-04-14 Xihaier Luo , Ahsan Kareem

Convolutional neural networks (CNNs) and transformers, which are composed of multiple processing layers and blocks to learn the representations of data with multiple abstract levels, are the most successful machine learning models in recent…

Machine Learning · Computer Science 2022-03-03 Biyi Fang , Jean Utke , Diego Klabjan

The detection of Cosmic Microwave Background primordial $B$-mode polarization would constitute a ``smoking gun" signal of primordial gravitational waves. However, this measurement requires accurate removal of polarized Galactic foregrounds…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-18 Luca Gomez Bachar , Cora Dvorkin , Alberto Daniel Supanitsky

Uncertainty quantification and robustness to distribution shifts are important goals in machine learning and artificial intelligence. Although Bayesian Neural Networks (BNNs) allow for uncertainty in the predictions to be assessed,…

Machine Learning · Computer Science 2024-10-23 Michele Caprio , Souradeep Dutta , Kuk Jin Jang , Vivian Lin , Radoslav Ivanov , Oleg Sokolsky , Insup Lee

The estimation of the bulge and disk massses, the main baryonic components of a galaxy, can be performed using various approaches, but their implementation tend to be challenging as they often rely on strong assumptions about either the…

Astrophysics of Galaxies · Physics 2025-03-28 Jessica N. Lopez Sanchez , Erick Munive Villa , Ana A. Avilez Lopez , Oscar M. Martinez Bravo

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 network (DNN) models have achieved state-of-the-art predictive accuracy in a wide range of supervised learning applications. However, accurately quantifying the uncertainty in DNN predictions remains a challenging task. For…

Machine Learning · Computer Science 2022-06-14 Daiwei Zhang , Tianci Liu , Jian Kang

Seismic tomography is a methodology to image subsurface properties of the Earth. In order to better interpret the resulting images, it is important to assess uncertainty in the results. Mixture density networks (MDNs) provide an efficient…

Geophysics · Physics 2024-12-12 Xin Zhang , Yan Wang , Haijiang Zhang

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…

Image and Video Processing · Electrical Eng. & Systems 2022-09-28 Matteo Ferrante , Tommaso Boccato , Nicola Toschi

Stress prediction in porous materials and structures is challenging due to the high computational cost associated with direct numerical simulations. Convolutional Neural Network (CNN) based architectures have recently been proposed as…

Computational Engineering, Finance, and Science · Computer Science 2023-11-07 Vasilis Krokos , Stéphane P. A. Bordas , Pierre Kerfriden

This paper explores a novel application of spherical convolutional neural networks (CNNs) to detect primordial non-Gaussianity in the cosmic microwave background (CMB), a key probe of inflationary dynamics. While effective, traditional…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-28 Jorik Melsen , Thomas Flöss , P. Daniel Meerburg

Deep neural networks (DNNs) have become integral to a wide range of scientific and practical applications due to their flexibility and strong predictive performance. Despite their accuracy, however, DNNs frequently exhibit poor calibration,…

Machine Learning · Computer Science 2026-03-12 Sanne Ruijs , Alina Kosiakova , Farrukh Javed

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…

Machine Learning · Statistics 2016-01-19 Yarin Gal , Zoubin Ghahramani