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Untargeted metabolomics based on liquid chromatography-mass spectrometry technology is quickly gaining widespread application given its ability to depict the global metabolic pattern in biological samples. However, the data is noisy and…

统计方法学 · 统计学 2026-03-24 Guoxuan Ma , Jian Kang , Tianwei Yu

We consider the problem of modeling heterogeneous materials where micro-scale dynamics and interactions affect global behavior. In the presence of heterogeneities in material microstructure it is often impractical, if not impossible, to…

材料科学 · 物理学 2022-11-03 Yiming Fan , Marta D'Elia , Yue Yu , Habib N. Najm , Stewart Silling

This paper considers the problem of knowledge-based model construction in the presence of uncertainty about the association of domain entities to random variables. Multi-entity Bayesian networks (MEBNs) are defined as a representation for…

人工智能 · 计算机科学 2013-01-14 Kathryn Blackmond Laskey , Suzanne M. Mahoney , Ed Wright

Deep Neural Networks (DNNs) are powerful tools for various computer vision tasks, yet they often struggle with reliable uncertainty quantification - a critical requirement for real-world applications. Bayesian Neural Networks (BNN) are…

机器学习 · 计算机科学 2023-12-27 Gianni Franchi , Olivier Laurent , Maxence Leguéry , Andrei Bursuc , Andrea Pilzer , Angela Yao

In chemistry, deep neural network models have been increasingly utilized in a variety of applications such as molecular property predictions, novel molecule designs, and planning chemical reactions. Despite the rapid increase in the use of…

化学物理 · 物理学 2019-05-17 Seongok Ryu , Yongchan Kwon , Woo Youn Kim

This paper examines the use of Bayesian Networks to tackle one of the tougher problems in requirements engineering, translating user requirements into system requirements. The approach taken is to model domain knowledge as Bayesian Network…

软件工程 · 计算机科学 2013-01-30 Philip S. Barry , Kathryn Blackmond Laskey

We provide simple schemes to build Bayesian Neural Networks (BNNs), block by block, inspired by a recent idea of computation skeletons. We show how by adjusting the types of blocks that are used within the computation skeleton, we can…

机器学习 · 统计学 2018-06-12 Hao Henry Zhou , Yunyang Xiong , Vikas Singh

The past few years have seen a revived interest in quantum geometrical characterizations of band structures due to the rapid development of topological insulators and semi-metals. Although the metric tensor has been connected to many…

介观与纳米尺度物理 · 物理学 2023-03-07 Adrien Bouhon , Abigail Timmel , Robert-Jan Slager

Inverse problems and, in particular, inferring unknown or latent parameters from data are ubiquitous in engineering simulations. A predominant viewpoint in identifying unknown parameters is Bayesian inference where both prior information…

统计计算 · 统计学 2022-08-31 Vahid Keshavarzzadeh , Robert M. Kirby , Akil Narayan

Bayesian inference provides a rigorous framework to encapsulate our knowledge and uncertainty regarding various physical quantities in a well-defined and self-contained manner. Utilising modern tools, such Bayesian models can be constructed…

高能物理 - 格点 · 物理学 2024-01-02 Julien Frison

We review various methods used to estimate uncertainties in quantum correlation functions, such as parton distribution functions (PDFs). Using a toy model of a PDF, we compare the uncertainty estimates yielded by the traditional Hessian and…

高能物理 - 唯象学 · 物理学 2022-08-17 N. T. Hunt-Smith , A. Accardi , W. Melnitchouk , N. Sato , A. W. Thomas , M. J. White

Bayesian neural networks allow us to keep track of uncertainties, for example in top tagging, by learning a tagger output together with an error band. We illustrate the main features of Bayesian versions of established deep-learning…

高能物理 - 唯象学 · 物理学 2020-01-22 Sven Bollweg , Manuel Haussmann , Gregor Kasieczka , Michel Luchmann , Tilman Plehn , Jennifer Thompson

Techniques from artificial intelligence and machine learning are increasingly employed in nuclear theory, however, the uncertainties that arise from the complex parameter manifold encoded by the neural networks are often overlooked.…

核理论 · 物理学 2025-10-29 Mengyao Huang , Kyle A. Wendt , Nicolas F. Schunck , Erika M. Holmbeck

Simulations based on Reynolds-Averaged Navier--Stokes (RANS) models have been used to support high-consequence decisions related to turbulent flows. Apart from the deterministic model predictions, the decision makers are often equally…

流体动力学 · 物理学 2017-01-25 Jian-Xun Wang , Jin-Long Wu , Heng Xiao

Diagnosis and prediction in some domains, like medical and industrial diagnosis, require a representation that combines uncertainty management and temporal reasoning. Based on the fact that in many cases there are few state changes in the…

人工智能 · 计算机科学 2013-01-30 Gustavo Arroyo-Figueroa , Luis Enrique Sucar

Kernel methods are ubiquitous tools in machine learning. However, there is often little reason for the common practice of selecting a kernel a priori. Even if a universal approximating kernel is selected, the quality of the finite sample…

Representing and quantifying uncertainty in physical parameterisations is a central challenge in weather and climate modelling, and approaches are often developed separately for different timescales. Here, we introduce a unified framework…

大气与海洋物理 · 物理学 2025-12-01 Laura A. Mansfield , Hannah M. Christensen

Deep unrolling is an emerging deep learning-based image reconstruction methodology that bridges the gap between model-based and purely deep learning-based image reconstruction methods. Although deep unrolling methods achieve…

图像与视频处理 · 电气工程与系统科学 2022-12-21 Canberk Ekmekci , Mujdat Cetin

This paper proposes a multitask learning framework for probabilistic model updating by jointly using strain and acceleration measurements. This framework can enhance the structural damage assessment and response prediction of existing steel…

应用统计 · 统计学 2024-02-01 Taro Yaoyama , Tatsuya Itoi , Jun Iyama

We explore the notion of uncertainty in the context of modern abstractive summarization models, using the tools of Bayesian Deep Learning. Our approach approximates Bayesian inference by first extending state-of-the-art summarization models…

计算与语言 · 计算机科学 2022-05-04 Alexios Gidiotis , Grigorios Tsoumakas