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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…

机器学习 · 计算机科学 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…

机器学习 · 统计学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

天体物理仪器与方法 · 物理学 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…

宇宙学与河外天体物理 · 物理学 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.…

星系天体物理 · 物理学 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…

机器学习 · 统计学 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…

机器学习 · 计算机科学 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…

宇宙学与河外天体物理 · 物理学 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,…

机器学习 · 计算机科学 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…

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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

地球物理 · 物理学 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…

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

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…

计算工程、金融与科学 · 计算机科学 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…

宇宙学与河外天体物理 · 物理学 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,…

机器学习 · 计算机科学 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…

机器学习 · 统计学 2016-01-19 Yarin Gal , Zoubin Ghahramani