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The breaking of ergodicity in isolated quantum systems with a single-particle mobility edge is an intriguing subject that has not yet been fully understood. In particular, whether a nonergodic but metallic phase exists or not in the…

无序系统与神经网络 · 物理学 2018-12-13 Yi-Ting Hsu , Xiao Li , Dong-Ling Deng , S. Das Sarma

Geographically weighted regression (GWR) models handle geographical dependence through a spatially varying coefficient model and have been widely used in applied science, but its general Bayesian extension is unclear because it involves a…

统计方法学 · 统计学 2026-03-18 Yang Liu , Robert J. B. Goudie

The Hessian method is widely applied in the global analysis of parton distribution functions (PDFs), which uses a set of orthogonal eigenvectors to give predictions of a physical observable. Its uncertainty is estimated based on the…

高能物理 - 唯象学 · 物理学 2025-09-12 Wenxiao Zhan , Siqi Yang , Minghui Liu , Liang Han , Daniel Stump , C. -P. Yuan

Macroscopic models for spatially extended systems under random influences are often described by stochastic partial differential equations (SPDEs). Some techniques for understanding solutions of such equations, such as estimating…

动力系统 · 数学 2009-03-27 Jinqiao Duan

Estimating motion from spatiotemporal geoscientific data is a fundamental component of many environmental modeling and forecasting tasks. In this work, we propose a physics-informed deep learning framework for estimating altitude-wise…

机器学习 · 计算机科学 2026-04-30 Peter Pavlík , Anna Bou Ezzeddine , Viera Rozinajová

Querying uncertain data sets (represented as probability distributions) presents many challenges due to the large amount of data involved and the difficulties comparing uncertainty between distributions. The Earth Mover's Distance (EMD) has…

数据库 · 计算机科学 2011-12-01 Brian E. Ruttenberg , Ambuj K. Singh

Parameter inference is a fundamental problem in data-driven modeling. Given observed data that is believed to be a realization of some parameterized model, the aim is to find parameter values that are able to explain the observed data. In…

数据结构与算法 · 计算机科学 2016-04-20 Carlo Albert , Simone Ulzega , Ruedi Stoop

In this article we expand and develop the authors' recent proposed methodology for efficient stochastic superparameterization (SP) algorithms for geophysical turbulence. Geophysical turbulence is characterized by significant intermittent…

计算物理 · 物理学 2013-10-08 Ian Grooms , Andrew J Majda

Earthquakes cannot be predicted with precision, but algorithms exist for intermediate-term middle range prediction of main shocks above a pre-assigned threshold, based on seismicity patterns. Few years ago, a first attempt was made in the…

地球物理 · 物理学 2017-03-07 G. F. Panza , A. Peresan , F. Sansò , M. Crespi , A. Mazzoni , A. Nascetti

This paper presents a statistical analysis of air temperature data from 32 stations in Italy and the UK up to 2000 m above sea level, from 2002 to 2021. The data came from both highland and lowland areas, in order to evaluate both the…

应用统计 · 统计学 2024-09-27 Chalachew Muluken Liyew , Elvira Di Nardo , Rosa Meo , Stefano Ferraris

We present global predictions of the ground state mass of atomic nuclei based on a novel Machine Learning (ML) algorithm. We combine precision nuclear experimental measurements together with theoretical predictions of unmeasured nuclei.…

核理论 · 物理学 2023-04-19 M. R. Mumpower , M. Li , T. M. Sprouse , B. S. Meyer , A. E. Lovell , A. T. Mohan

Researchers in urban and regional studies increasingly deal with spatial data that reflects geographic location and spatial relationships. As a framework for dealing with the unique nature of spatial data, various spatial regression models…

计量经济学 · 经济学 2025-06-17 Michael Balzer

Since the beginning of this century, the significant advancements in artificial intelligence and neural networks have offered the potential to bring new transformations to short-term earthquake prediction research. However, currently, there…

地球物理 · 物理学 2025-07-23 Zhiyu Xu , Qingliang Chen

The past decades have seen increasing interest in modelling uncertainty by heterogeneous methods, combining probability and interval analysis, especially for assessing parameter uncertainty in engineering models. A unifying mathematical…

概率论 · 数学 2022-08-15 Jelena Karakašević , Michael Oberguggenberger

In this paper hyperbolic partial differential equations with random coefficients are discussed. Such random partial differential equations appear for instance in traffic flow problems as well as in many physical processes in random media.…

偏微分方程分析 · 数学 2017-06-19 Andrea Barth , Franz G. Fuchs

Earth observation (EO) by airborne and satellite remote sensing and in-situ observations play a fundamental role in monitoring our planet. In the last decade, machine learning and Gaussian processes (GPs) in particular has attained…

机器学习 · 计算机科学 2020-07-03 Gustau Camps-Valls , Dino Sejdinovic , Jakob Runge , Markus Reichstein

For civil structures, structural damage due to severe loading events such as earthquakes, or due to long-term environmental degradation, usually occurs in localized areas of a structure. A new sparse Bayesian probabilistic framework for…

应用统计 · 统计学 2015-07-02 Yong Huang , James L. Beck

Developing statistical models for seismic noise is an exercise of high value in seismic data analysis since these models play a critical role in detecting the onset of seismic events. A majority of these models are usually built on certain…

统计方法学 · 统计学 2020-09-04 Kanchan Aggarwal , Siddhartha Mukhopadhyay , Arun K Tangirala

Compositional observations are an increasingly prevalent data source in spatial statistics. Analysis of such data is typically done on log-ratio transformations or via Dirichlet regression. However, these approaches often make unnecessarily…

统计方法学 · 统计学 2025-05-27 Michael R. Schwob , Mevin B. Hooten , Nicholas M. Calzada , Timothy H. Keitt

Existing methods for diagnosing predictability in climate indices often make a number of unjustified assumptions about the climate system that can lead to misleading conclusions. We present a flexible family of state-space models capable of…

应用统计 · 统计学 2018-07-10 Philip G. Sansom , David B. Stephenson , Daniel B. Williamson