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We introduce a novel multi-parameter rating methodology for comparing theoretical models with experimental data in heavy-ion collisions, addressing limitations of the global $\chi^2$/ndf criterion. The methodology divides phase space into…

高能物理 - 唯象学 · 物理学 2026-03-26 S. O. Omelchenko , V. M. Pugatch

In this work, a stochastic representation based on a physical transport principle is proposed to account for mesoscale eddy effects on the large-scale oceanic circulation. This stochastic framework arises from a decomposition of the…

地球物理 · 物理学 2022-07-26 Long Li , Bruno Deremble , Noé Lahaye , Etienne Mémin

A systematic Bayesian framework is developed for physics constrained parameter inference ofstochastic differential equations (SDE) from partial observations. The physical constraints arederived for stochastic climate models but are…

数据分析、统计与概率 · 物理学 2016-11-25 Daniel Peavoy , Christian L. E. Franzke , Gareth O. Roberts

In this paper we discuss how the notion of subgeometric ergodicity in Markov chain theory can be exploited to study stationarity and ergodicity of nonlinear time series models. Subgeometric ergodicity means that the transition probability…

计量经济学 · 经济学 2020-11-11 Mika Meitz , Pentti Saikkonen

Projections of future climate change rely heavily on climate models, and combining climate models through a multi-model ensemble is both more accurate than a single climate model and valuable for uncertainty quantification. However,…

应用统计 · 统计学 2020-02-27 Huang Huang , Dorit Hammerling , Bo Li , Richard Smith

Within the performance-based earthquake engineering (PBEE) framework, the fragility model plays a pivotal role. Such a model represents the probability that the engineering demand parameter (EDP) exceeds a certain safety threshold given a…

应用统计 · 统计学 2023-02-02 X. Zhu , M. Broccardo , B. Sudret

For earthquake-resistant design, engineering seismologists employ time-history analysis for nonlinear simulations. The nonstationary stochastic method previously developed by Pousse et al. (2006) has been updated. This method has the…

应用统计 · 统计学 2012-12-18 Aurore Laurendeau , Fabrice Cotton , Luis Fabian Bonilla

A new class of stochastic field models is constructed using nested stochastic partial differential equations (SPDEs). The model class is computationally efficient, applicable to data on general smooth manifolds, and includes both the…

应用统计 · 统计学 2011-04-19 David Bolin , Finn Lindgren

Hierarchical Bayesian models are increasingly used in large, inhomogeneous complex network dynamical systems by modeling parameters as draws from a hyperparameter-governed distribution. However, theoretical guarantees for these estimates as…

统计理论 · 数学 2026-01-23 Yi Yu , Yubo Hou , Yinchong Wang , Nan Zhang , Jianfeng Feng , Wenlian Lu

It is given an attempt for statistical estimation of when earthquake prediction for Balkan- Black Sea region using the geomagnetic field signal. The preliminary test of the approach for England (Hartland), Turkey (Kandilli) and India…

地球物理 · 物理学 2007-05-23 Strachimir Chterev Mavrodiev

A few ground-motion prediction models have been published in the last years, for predicting ground motions produced by interface and intraslab earthquakes. When one must carry out a probabilistic seismic hazard analysis in a region…

This paper presents a hierarchical Bayesian modeling framework for the uncertainty quantification in modal identification of linear dynamical systems using multiple vibration data sets. This novel framework integrates the state-of-the-art…

统计方法学 · 统计学 2020-05-19 Omid Sedehi , Lambros S. Katafygiotis , Costas Papadimitriou

We provide quantitative estimates in total variation distance for positive semi-groups, which can be non-conservative and non-homogeneous. The techniques relies on a family of conservative semigroups that describes a typical particle and…

偏微分方程分析 · 数学 2020-07-22 Vincent Bansaye , Bertrand Cloez , Pierre Gabriel

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

A multicomponent random process used as a model for the problem of space-time earthquake prediction; this allows us to develop consistent estimation for conditional probabilities of large earthquakes if the values of the predictor…

地球物理 · 物理学 2009-04-28 V. M. Ghertzik

Spatial fields in the Earth and environmental sciences are often available at multiple scales or resolutions. While coarse-scale data (e.g., from global circulation models) are often abundant, they lack the local detail provided by…

统计方法学 · 统计学 2026-04-01 Alejandro Calle-Saldarriaga , Paul F. V. Wiemann , Matthias Katzfuss

Machine learning (ML)-based models have demonstrated high skill and computational efficiency, often outperforming conventional physics-based models in weather and subseasonal predictions. While prior studies have assessed their fidelity in…

Modeling data with non-stationary covariance structure is important to represent heterogeneity in geophysical and other environmental spatial processes. In this work, we investigate a multistage approach to modeling non-stationary…

统计方法学 · 统计学 2020-02-05 Ashton Wiens , Douglas Nychka , William Kleibe

A multiscale numerical method is proposed for the solution of semi-linear elliptic stochastic partial differential equations with localized uncertainties and non-linearities, the uncertainties being modeled by a set of random parameters. It…

数值分析 · 数学 2019-01-23 Anthony Nouy , Florent Pled

Post-earthquake hazard and impact estimation are critical for effective disaster response, yet current approaches face significant limitations. Traditional models employ fixed parameters regardless of geographical context, misrepresenting…

机器学习 · 统计学 2025-04-08 Xuechun Li , Shan Gao , Runyu Gao , Susu Xu