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We propose a computationally efficient statistical method to obtain distributional properties of annual maximum 24 hour precipitation on a 1 km by 1 km regular grid over Iceland. A latent Gaussian model is built which takes into account…

Methodology · Statistics 2015-06-23 Óli Páll Geirsson , Birgir Hrafnkelsson , Daniel Simpson

Understanding and predicting environmental phenomena often requires the construction of spatio-temporal statistical models, which are typically Gaussian processes. A common assumption made on Gaussian processes is that of covariance…

Methodology · Statistics 2023-03-17 Quan Vu , Andrew Zammit-Mangion , Stephen J. Chuter

Count data with zero inflation and large outliers are ubiquitous in many scientific applications. However, posterior analysis under a standard statistical model, such as Poisson or negative binomial distribution, is sensitive to such…

Methodology · Statistics 2024-05-09 Yasuyuki Hamura , Kaoru Irie , Shonosuke Sugasawa

Coastal flooding poses increasing threats to communities worldwide, necessitating accurate and hyper-local inundation forecasting for effective emergency response. However, real-world deployment of forecasting systems is often constrained…

We construct flexible spatio-temporal models through stochastic partial differential equations (SPDEs) where both diffusion and advection can be spatially varying. Computations are done through a Gaussian Markov random field approximation…

Methodology · Statistics 2024-10-29 Martin Outzen Berild , Geir-Arne Fuglstad

While diffusion models can successfully generate data and make predictions, they are predominantly designed for static images. We propose an approach for efficiently training diffusion models for probabilistic spatiotemporal forecasting,…

Machine Learning · Computer Science 2023-10-12 Salva Rühling Cachay , Bo Zhao , Hailey Joren , Rose Yu

This paper proposes a computationally efficient Bayesian factor model for multiple grouped count data. Adopting the link function approach, the proposed model can capture the association within and between the at-risk probabilities and…

Methodology · Statistics 2024-05-13 Genya Kobayashi , Yuta Yamauchi

In this work, we deal with a bivariate time series of wind speed and direction. Our observed data have peculiar features, such as informative missing values, non-reliable measures under a specific condition and interval-censored data, that…

Methodology · Statistics 2017-04-18 Gianluca Mastrantonio , Gianfranco Calise

We introduce a probabilistic generative model for disentangling spatio-temporal disease trajectories from series of high-dimensional brain images. The model is based on spatio-temporal matrix factorization, where inference on the sources is…

Machine Learning · Statistics 2019-10-11 Clement Abi Nader , Nicholas Ayache , Philippe Robert , Marco Lorenzi

We develop a prior probability model for temporal Poisson process intensities through structured mixtures of Erlang densities with common scale parameter, mixing on the integer shape parameters. The mixture weights are constructed through…

Methodology · Statistics 2021-10-26 Hyotae Kim , Athanasios Kottas

We develop a (nearly) unbiased particle filtering algorithm for a specific class of continuous-time state-space models, such that (a) the latent process $X_t$ is a linear Gaussian diffusion; and (b) the observations arise from a Poisson…

Computation · Statistics 2023-11-07 Ruiyang Jin , Sumeetpal S. Singh , Nicolas Chopin

Edge-caching is recognized as an efficient technique for future cellular networks to improve network capacity and user-perceived quality of experience. To enhance the performance of caching systems, designing an accurate content request…

Signal Processing · Electrical Eng. & Systems 2019-03-08 Sajad Mehrizi , Anestis Tsakmalis , Symeon Chatzinotas , Bjorn Ottersten

Epidemic data often possess certain characteristics, such as the presence of many zeros, the spatial nature of the disease spread mechanism or environmental noise. This paper addresses these issues via suitable Bayesian modelling. In doing…

Applications · Statistics 2014-03-10 C. Malesios , N. Demiris , K. Kalogeropoulos , I. Ntzoufras

We continue studies of the uncertainty quantification problem in emission tomographies such as PET or SPECT when additional multimodal data (e.g., anatomical MRI images) are available. To solve the aforementioned problem we adapt the…

Machine Learning · Statistics 2021-12-03 Fedor Goncharov , Éric Barat , Thomas Dautremer

This manuscript develops computationally efficient online learning for multivariate spatiotemporal models. The method relies on matrix-variate Gaussian distributions, dynamic linear models, and Bayesian predictive stacking to efficiently…

Methodology · Statistics 2026-02-10 Luca Presicce , Sudipto Banerjee

The algorithms used for the optimal management of an ambulance fleet require an accurate description of the spatio-temporal evolution of the emergency events. In the last years, several authors have proposed sophisticated statistical…

Applications · Statistics 2023-05-01 Andrea Gilardi , Riccardo Borgoni , Jorge Mateu

Computational saliency models for still images have gained significant popularity in recent years. Saliency prediction from videos, on the other hand, has received relatively little interest from the community. Motivated by this, in this…

Computer Vision and Pattern Recognition · Computer Science 2017-11-16 Cagdas Bak , Aysun Kocak , Erkut Erdem , Aykut Erdem

Spatial two-component mixture models offer a robust framework for analyzing spatially correlated data with zero inflation. To circumvent potential biases introduced by assuming a specific distribution for the response variables, we employ a…

Methodology · Statistics 2025-09-17 Chung-Wei Shen , Bu-Ren Hsu , Chia-Ming Hsu , Chun-Shu Chen

The solutions of Hamiltonian equations are known to describe the underlying phase space of a mechanical system. In this article, we propose a novel spatio-temporal model using a strategic modification of the Hamiltonian equations,…

Methodology · Statistics 2026-02-17 Satyaki Mazumder , Sayantan Banerjee , Sourabh Bhattacharya

Stochastic reduced models are an important tool in climate systems whose many spatial and temporal scales cannot be fully discretized or underlying physics may not be fully accounted for. One form of reduced model, the linear inverse model…

Methodology · Statistics 2020-04-29 Dallas Foster , Darin Comeau , Nathan M. Urban
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