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We propose a novel Bayesian framework for changepoint detection in large-scale spherical spatiotemporal data, with broad applicability in environmental and climate sciences. Our approach models changepoints as spatially dependent…

Methodology · Statistics 2026-02-16 Samantha Shi-Jun , Bo Li

Current techniques for predicting climate change are mainly based on "massive" deterministic numerical modeling. However, the ocean-atmosphere system is a so-called "complex system", made up of a large number of interacting elements. We…

Atmospheric and Oceanic Physics · Physics 2022-05-31 Francois Louchet

Climate models are essential for assessing the impact of greenhouse gas emissions on our changing climate and the resulting increase in the frequency and severity of natural disasters. Despite the widespread acceptance of climate models…

Atmospheric and Oceanic Physics · Physics 2023-11-08 Vsevolod Morozov , Artem Galliamov , Aleksandr Lukashevich , Antonina Kurdukova , Yury Maximov

Extreme environmental events frequently exhibit spatial and temporal dependence. These data are often modeled using max stable processes (MSPs). MSPs are computationally prohibitive to fit for as few as a dozen observations, with supposed…

Methodology · Statistics 2022-05-02 Emily C. Hector , Brian J. Reich

Satellite images have become increasingly valuable for modelling regional climate change effects. Earth surface forecasting represents one such task that integrates satellite images with meteorological data to capture the joint evolution of…

Machine Learning · Computer Science 2024-08-13 Tushar Verma , Sudipan Saha

Any experiment with climate models relies on a potentially large set of spatio-temporal boundary conditions. These can represent both the initial state of the system and/or forcings driving the model output throughout the experiment. Whilst…

Applications · Statistics 2023-12-22 Lachlan Astfalck , Daniel Williamson , Niall Gandy , Lauren Gregoire , Ruza Ivanovic

Estimating climate effects on future ocean storm severity is plagued by large uncertainties, yet for safe design and operation of offshore structures, best possible estimates of climate effects are required given available data. We explore…

Atmospheric and Oceanic Physics · Physics 2022-12-22 Kevin Ewans , Philip Jonathan

While significant progress has been made towards explaining black-box machine-learning (ML) models, there is still a distinct lack of diagnostic tools that elucidate the spatial behaviour of ML models in terms of predictive skill and…

Machine Learning · Computer Science 2023-06-01 Alexander Brenning

There is a growing interest in developing covariance functions for processes on the surface of a sphere due to wide availability of data on the globe. Utilizing the one-to-one mapping between the Euclidean distance and the great circle…

Applications · Statistics 2015-04-09 Jaehong Jeong , Mikyoung Jun

Stochastic process models for spatiotemporal data underlying random fields find substantial utility in a range of scientific disciplines. Subsequent to predictive inference on the values of the random field (or spatial surface indexed…

Methodology · Statistics 2024-07-26 Aritra Halder , Didong Li , Sudipto Banerjee

Recently, a Wasserstein-type distance for Gaussian mixture models has been proposed. However, that framework can only be generalized to identifiable mixtures of general elliptically contoured distributions whose components come from the…

Optimization and Control · Mathematics 2025-03-19 Keyu Chen , Zetian Wang , Yunxin Zhang

We study a class of quadratic Wasserstein distances on spaces consisting of generalized dynamical systems on a von Neumann algebra. We emphasize how symmetry of such a Wasserstein distance arises, but also study the asymmetric case. This…

Operator Algebras · Mathematics 2024-11-05 Rocco Duvenhage

This paper is focused on the statistical analysis of data consisting of a collection of multiple series of probability measures that are indexed by distinct time instants and supported over a bounded interval of the real line. By modeling…

Machine Learning · Statistics 2026-05-05 Yiye Jiang , Jérémie Bigot

Problem definition: A key challenge in supervised learning is data scarcity, which can cause prediction models to overfit to the training data and perform poorly out of sample. A contemporary approach to combat overfitting is offered by…

Optimization and Control · Mathematics 2025-10-10 Reza Belbasi , Aras Selvi , Wolfram Wiesemann

In the field of modern high-energy physics research, there is a growing emphasis on utilizing deep learning techniques to optimize event simulation, thereby expanding the statistical sample size for more accurate physical analysis.…

Computational Physics · Physics 2025-06-16 Chu-Cheng Pan , Xiang Dong , Yu-Chang Sun , Ao-Yan Cheng , Ao-Bo Wang , Yu-Xuan Hu , Hao Cai

We propose a new unsupervised anomaly detection method based on the sliced-Wasserstein distance for training data selection in machine learning approaches. Our filtering technique is interesting for decision-making pipelines deploying…

Machine Learning · Computer Science 2025-04-18 Julien Pallage , Antoine Lesage-Landry

Distances between probability distributions that take into account the geometry of their sample space,like the Wasserstein or the Maximum Mean Discrepancy (MMD) distances have received a lot of attention in machine learning as they can, for…

Machine Learning · Computer Science 2020-04-29 Gaëtan Hadjeres , Frank Nielsen

This paper investigates the cross-correlations across multiple climate model errors. We build a Bayesian hierarchical model that accounts for the spatial dependence of individual models as well as cross-covariances across different climate…

Applications · Statistics 2012-03-02 Huiyan Sang , Mikyoung Jun , Jianhua Z. Huang

In this paper, we incorporate seasonal variations of insolation into the global climate model C-GOLDSTEIN. We use a new approach for modelling insolation from the space perspective presented in the authors' earlier work and build it into…

Atmospheric and Oceanic Physics · Physics 2020-03-27 Sofya Prakhova , Volker Rehbock , Igor Suleimanov

Constructing accurate, flexible, and efficient parametrizations is one of the great challenges in the numerical modelling of geophysical fluids. We consider here the simple yet paradigmatic case of a Lorenz 84 model forced by a Lorenz 63…

Statistical Mechanics · Physics 2020-11-16 Gabriele Vissio , Valerio Lucarini
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