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Bayesian models quantify uncertainty and facilitate optimal decision-making in downstream applications. For most models, however, practitioners are forced to use approximate inference techniques that lead to sub-optimal decisions due to…

Machine Learning · Statistics 2019-09-12 Tomasz Kuśmierczyk , Joseph Sakaya , Arto Klami

Bayesian probabilistic numerical methods are a set of tools providing posterior distributions on the output of numerical methods. The use of these methods is usually motivated by the fact that they can represent our uncertainty due to…

Computation · Statistics 2018-08-01 Xiaoyue Xi , François-Xavier Briol , Mark Girolami

In our paper published earlier we discussed forecasts of earthquake focal mechanism and ways to test the forecast efficiency. Several verification methods were proposed, but they were based on ad-hoc, empirical assumptions, thus their…

Geophysics · Physics 2015-06-19 Y. Y. Kagan , D. D Jackson

Bayesian analysis is increasingly popular for use in social science and other application areas where the data are observations from an informative sample. An informative sampling design leads to inclusion probabilities that are correlated…

Statistics Theory · Mathematics 2016-06-07 Terrance D. Savitsky , Daniell Toth

Smartphone-based earthquake early warning systems implemented by citizen science initiatives are characterized by a significant variability in their smartphone network geometry. This has an direct impact on the earthquake detection…

Applications · Statistics 2022-11-03 Francesco Finazzi , Frank Yannick Massoda Tchoussi

Forecasting the full distribution of the number of earthquakes is revealed to be inherently superior to forecasting their mean. Forecasting the full distribution of earthquake numbers is also shown to yield robust projections in the…

Geophysics · Physics 2019-03-19 Shyam Nandan , Guy Ouillon , Didier Sornette , Stefan Wiemer

Bayesian spatial modeling of heavy-tailed distributions has become increasingly popular in various areas of science in recent decades. We propose a Weibull regression model with spatial random effects for analyzing extreme economic loss.…

Applications · Statistics 2019-12-10 Hou-Cheng Yang , Lijiang Geng , Yishu Xue , Guanyu Hu

A general dynamical cluster identification framework including both modeling and computation is developed. The earthquake declustering problem is studied to demonstrate how this framework applies. A stochastic model is proposed for…

Statistics Theory · Mathematics 2009-06-12 Zhengxiao Wu

Earthquake catalog declustering is the procedure of separating event clusters from background seismicity, which is an important task in statistical seismology, earthquake forecasting, and probabilistic seismic hazard analysis. Several…

Geophysics · Physics 2025-04-14 Robert Shcherbakov , Sidhanth Kothari

This paper introduces a Bayesian hierarchical modeling framework within a fully probabilistic setting for crop yield estimation, model selection, and uncertainty forecasting under multiple future greenhouse gas emission scenarios. By…

Applications · Statistics 2025-07-30 Dan Li , Vassili Kitsios , David Newth , Terence John O'Kane

This work considers Bayesian inference under misspecification for complex statistical models comprised of simpler submodels, referred to as modules, that are coupled together. Such ``multi-modular" models often arise when combining…

Statistics Theory · Mathematics 2023-08-02 David T. Frazier , David J. Nott

The authors propose a methodology to perform seismic damage assessment of instrumented wood-frame buildings using response measurements. The proposed methodology employs a nonlinear model-based state observer that combines sparse…

Systems and Control · Computer Science 2019-02-27 Milad Roohi , Eric M. Hernandez , David Rosowsky

Linear mixed effects models are widely used in statistical modelling. We consider a mixed effects model with Bayesian variable selection in the random effects using spike-and-slab priors and developed a variational Bayes inference scheme…

Methodology · Statistics 2024-08-15 M-Z. Spyropoulou , J. Hopker , J. E. Griffin

In this study, we examine a Bayesian approach to analyze extreme daily rainfall amounts and forecast return-levels. Estimating the probability of occurrence and quantiles of future extreme events is important in many applications, including…

Applications · Statistics 2022-08-29 Douglas E. Johnston

Earthquake early warning systems play crucial roles in reducing the risk of seismic disasters. Previously, the dominant modeling system was the single-station models. Such models digest signal data received at a given station and predict…

Machine Learning · Computer Science 2024-12-25 Yu-Ming Huang , Kuan-Yu Chen , Wen-Wei Lin , Da-Yi Chen

A novel data-driven methodology is presented for the joint selection of prior parameters for both fixed and random effects in Linear Mixed Models (LMMs). This approach facilitates the estimation of complex random-effects structures, as well…

Methodology · Statistics 2026-04-28 Matteo Amestoy , R. Vermeulen , Mark A. van de Wiel , Wessel N. van Wieringen

Seismic data noise processing is an important part of seismic exploration data processing, and the effect of noise elimination is directly related to the follow-up processing of data. In response to this problem, many authors have proposed…

Geophysics · Physics 2024-10-28 Junheng Peng , Yong Li , Zhangquan Liao , Xuben Wang , Xingyu Yang

Numerical simulation of seismicity has been successfully developed and used for the two last decades. Presently, the general theory of modeling and the progress in computational techniques provide wide options for simulation of seismic and…

Geophysics · Physics 2015-07-17 Aleksandr M. Linkov , Liliana Rybarska-Rusinek , Victor V. Zoubkov

Many modern experiments, such as microarray gene expression and genome-wide association studies, present the problem of estimating a large number of parallel effects. Bayesian inference is a popular approach for analyzing such data by…

Methodology · Statistics 2018-10-26 J G Liao , Arthur Berg , Timothy L McMurry

Onsite disasters like earthquakes can trigger cascading hazards and impacts, such as landslides and infrastructure damage, leading to catastrophic losses; thus, rapid and accurate estimates are crucial for timely and effective post-disaster…

Machine Learning · Computer Science 2024-03-21 Xuechun Li , Paula M. Burgi , Wei Ma , Hae Young Noh , David J. Wald , Susu Xu