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Enhancing seismic fragility and risk assessment of nuclear power plants relies on accurate prediction of reactor building responses to seismic hazards, which can be further improved through dynamic analysis of high-fidelity finite element…

Applications · Statistics 2026-04-27 Taro Yaoyama , Sangwon Lee , Minoru Matsubara , Kenzo Kodera , Takeshi Ugata , Tatsuya Itoi

Estimation of spatially-varying parameters for computationally expensive forward models governed by partial differential equations is addressed. A novel multiscale Bayesian inference approach is introduced based on deep probabilistic…

Machine Learning · Statistics 2022-03-02 Yingzhi Xia , Nicholas Zabaras

We study linear models under heavy-tailed priors from a probabilistic viewpoint. Instead of computing a single sparse most probable (MAP) solution as in standard deterministic approaches, the focus in the Bayesian compressed sensing…

Computer Vision and Pattern Recognition · Computer Science 2014-03-05 George Papandreou , Alan Yuille

Climate change is increasing the occurrence of extreme precipitation events, threatening infrastructure, agriculture, and public safety. Ensemble prediction systems provide probabilistic forecasts but exhibit biases and difficulties in…

Machine Learning · Computer Science 2025-04-09 Christopher Bülte , Sohir Maskey , Philipp Scholl , Jonas von Berg , Gitta Kutyniok

We propose a novel method ($floZ$), based on normalizing flows, to estimate the Bayesian evidence (and its numerical uncertainty) from a pre-existing set of samples drawn from the unnormalized posterior distribution. We validate it on…

Machine Learning · Statistics 2024-12-06 Rahul Srinivasan , Marco Crisostomi , Roberto Trotta , Enrico Barausse , Matteo Breschi

Floods are among the most common and devastating natural hazards, imposing immense costs on our society and economy due to their disastrous consequences. Recent progress in weather prediction and spaceborne flood mapping demonstrated the…

Computer Vision and Pattern Recognition · Computer Science 2024-09-30 Brandon Victor , Mathilde Letard , Peter Naylor , Karim Douch , Nicolas Longépé , Zhen He , Patrick Ebel

Gaussian and discrete non-Gaussian spatial datasets are common across fields like public health, ecology, geosciences, and social sciences. Bayesian spatial generalized linear mixed models (SGLMMs) are a flexible class of models for…

Methodology · Statistics 2025-01-27 Jin Hyung Lee , Ben Seiyon Lee

The increasing impact of human-induced climate change and unplanned urban constructions has increased flooding incidents in recent years. Accurate identification of flooded areas is crucial for effective disaster management and urban…

Computer Vision and Pattern Recognition · Computer Science 2025-02-25 Muhammad Umair Danish , Madhushan Buwaneswaran , Tehara Fonseka , Katarina Grolinger

A Bayesian approach is developed to analyze change points in multivariate time series and space-time data. The methodology is used to assess the impact of extended inundation on the ecosystem of the Gulf Plains bioregion in northern…

Methodology · Statistics 2013-06-21 Chris Strickland , Robert Burdett , Robert Denham , Robert Kohn , Kerrie Mengersen

Climate hazards can cause major disasters when they occur simultaneously as compound hazards. To understand the distribution of climate risk and inform adaptation policies, scientists need to simulate a large number of physically realistic…

Machine Learning · Computer Science 2023-12-01 Alison Peard , Jim Hall

In this work, we propose the Generative Latent Flow (GLF), an algorithm for generative modeling of the data distribution. GLF uses an Auto-encoder (AE) to learn latent representations of the data, and a normalizing flow to map the…

Computer Vision and Pattern Recognition · Computer Science 2019-09-24 Zhisheng Xiao , Qing Yan , Yali Amit

We present a machine learning method to predict extreme hydrologic events from spatially and temporally varying hydrological and meteorological data. We used a timestep reduction technique to reduce the computational and memory requirements…

Machine Learning · Computer Science 2021-05-03 Nicholas Majeske , Bidisha Abesh , Chen Zhu , Ariful Azad

Simulation of rainfall over a region for long time-sequences can be very useful for planning and policy-making, especially in India where the economy is heavily reliant on monsoon rainfall. However, such simulations should be able to…

Applications · Statistics 2017-09-04 Adway Mitra

Accurate flood forecasting remains a challenge for water-resource management, as it demands modeling of local, time-varying runoff drivers (e.g., rainfall-induced peaks, baseflow trends) and complex spatial interactions across a river…

Machine Learning · Computer Science 2025-09-03 Aishwarya Sarkar , Autrin Hakimi , Xiaoqiong Chen , Hai Huang , Chaoqun Lu , Ibrahim Demir , Ali Jannesari

Simulating turbulent fluid flows is a computationally prohibitive task, as it requires the resolution of fine-scale structures and the capture of complex nonlinear interactions across multiple scales. This is particularly the case in direct…

Fluid Dynamics · Physics 2026-04-22 Ismaël Zighed , Nicolas Thome , Patrick Gallinari , Taraneh Sayadi

Latent Gaussian models (LGMs) are widely used in statistics and machine learning. Bayesian inference in non-conjugate LGMs is difficult due to intractable integrals involving the Gaussian prior and non-conjugate likelihoods. Algorithms…

Machine Learning · Statistics 2013-06-06 Mohammad Emtiyaz Khan , Aleksandr Y. Aravkin , Michael P. Friedlander , Matthias Seeger

Modelling dependencies between climate extremes is important for climate risk assessment, for instance when allocating emergency management funds. In statistics, multivariate extreme value theory is often used to model spatial extremes.…

Projections of storm surge return levels are a basic requirement for effective management of coastal risks. A common approach to estimate hazards posed by extreme sea levels is to use a statistical model, which may use a time series of a…

Applications · Statistics 2018-08-28 Tony E. Wong

The future predictive performance of a Bayesian model can be estimated using Bayesian cross-validation. In this article, we consider Gaussian latent variable models where the integration over the latent values is approximated using the…

Computation · Statistics 2016-08-09 Aki Vehtari , Tommi Mononen , Ville Tolvanen , Tuomas Sivula , Ole Winther

Extreme sea level estimates are fundamental for mitigating against coastal flooding as they provide insight for defence engineering. As the global climate changes, rising sea levels combined with increases in storm intensity and frequency…

Methodology · Statistics 2022-08-02 Eleanor D'Arcy , Jonathan A. Tawn