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The North Pacific exhibits patterns of low-frequency variability on the intra-annual to decadal time scales, which manifest themselves in both model data and the observational record, and prediction of such low-frequency modes of…

Numerical Analysis · Mathematics 2016-06-22 Darin Comeau , Zhizhen Zhao , Dimitrios Giannakis , Andrew J. Majda

Hierarchical forecasting methods have been widely used to support aligned decision-making by providing coherent forecasts at different aggregation levels. Traditional hierarchical forecasting approaches, such as the bottom-up and top-down…

Machine Learning · Computer Science 2020-06-04 Evangelos Spiliotis , Mahdi Abolghasemi , Rob J Hyndman , Fotios Petropoulos , Vassilios Assimakopoulos

With the growing capabilities of Geographic Information Systems (GIS) and user-friendly software, statisticians today routinely encounter geographically referenced data containing observations from a large number of spatial locations and…

Methodology · Statistics 2017-05-23 Sudipto Banerjee

Motivated by the challenge of analyzing the dynamics of weekly sea border crossings in the Mediterranean (2015-2025) and the English Channel (2018-2025), we develop a Bayesian dynamic framework for modeling heteroskedastic count time…

Applications · Statistics 2026-03-23 Gregor Zens , Jakub Bijak

The majority of real-world processes are spatiotemporal, and the data generated by them exhibits both spatial and temporal evolution. Weather is one of the most essential processes in this domain, and weather forecasting has become a…

Machine Learning · Computer Science 2024-09-24 Shakir Showkat Sofi , Ivan Oseledets

Multi-year-to-decadal climate prediction is a key tool in understanding the range of potential regional and global climate futures. Here, we present a framework that combines machine learning and analog forecasting for predictions on these…

Atmospheric and Oceanic Physics · Physics 2025-02-26 M. A. Fernandez , Elizabeth A. Barnes

We examine the problem of making reconciled forecasts of large collections of related time series through a behavioural/Bayesian lens. Our approach explicitly acknowledges and exploits the 'connectedness' of the series in terms of…

Methodology · Statistics 2022-10-03 Ross Hollyman , Fotios Petropoulos , Michael E. Tipping

We encounter time series data in many domains such as finance, physics, business, and weather. One of the main tasks of time series analysis, one that helps to take informed decisions under uncertainty, is forecasting. Time series are often…

Artificial Intelligence · Computer Science 2023-08-29 Gal Elgavish

Given a set of synchronous time series, each associated with a sensor-point in space and characterized by inter-series relationships, the problem of spatiotemporal forecasting consists of predicting future observations for each point.…

Machine Learning · Computer Science 2024-06-11 Ivan Marisca , Cesare Alippi , Filippo Maria Bianchi

With extreme weather events becoming more common, the risk posed by surface water flooding is ever increasing. In this work we propose a model, and associated Bayesian inference scheme, for generating probabilistic (high-resolution…

We put forward a new Bayesian modeling strategy for spatiotemporal count data that enables efficient posterior sampling. Most previous models for such data decompose logarithms of the response Poisson rates into fixed effects and spatial…

Methodology · Statistics 2025-07-29 Yifan Cheng , Cheng Li

Subseasonal-to-seasonal forecasting is crucial for public health, disaster preparedness, and agriculture, and yet it remains a particularly challenging timescale to predict. We explore the use of an interpretable AI-informed model analog…

Atmospheric and Oceanic Physics · Physics 2026-04-06 Jacob B. Landsberg , Matthew Newman , Elizabeth A. Barnes

Among the most relevant processes in the Earth system for human habitability are quasi-periodic, ocean-driven multi-year events whose dynamics are currently incompletely characterized by physical models, and hence poorly predictable. This…

Atmospheric and Oceanic Physics · Physics 2023-08-09 Matthew Bonas , Christopher K. Wikle , Stefano Castruccio

Multivariate time series forecasting with hierarchical structure is pervasive in real-world applications, demanding not only predicting each level of the hierarchy, but also reconciling all forecasts to ensure coherency, i.e., the forecasts…

Machine Learning · Computer Science 2025-03-04 Shiyu Wang , Fan Zhou , Yinbo Sun , Lintao Ma , James Zhang , Yangfei Zheng

Platform businesses operate on a digital core and their decision making requires high-dimensional accurate forecast streams at different levels of cross-sectional (e.g., geographical regions) and temporal aggregation (e.g., minutes to…

Econometrics · Economics 2024-06-03 Jeroen Rombouts , Marie Ternes , Ines Wilms

Air pollution remains a major environmental risk factor that is often associated with adverse health outcomes. However, quantifying and evaluating its effects on human health is challenging due to the complex nature of exposure data. Recent…

Methodology · Statistics 2025-06-02 Soumyakanti Pan , Sudipto Banerjee

Statistical static timing analysis deals with the increasing variations in manufacturing processes to reduce the pessimism in the worst case timing analysis. Because of the correlation between delays of circuit components, timing model…

Hardware Architecture · Computer Science 2017-05-16 Bing Li , Ning Chen , Manuel Schmidt , Walter Schneider , Ulf Schlichtmann

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

Existing hierarchical forecasting techniques scale poorly when the number of time series increases. We propose to learn a coherent forecast for millions of time series with a single bottom-level forecast model by using a sparse loss…

Machine Learning · Computer Science 2024-02-27 Olivier Sprangers , Wander Wadman , Sebastian Schelter , Maarten de Rijke

Forecasting surface water dynamics is crucial for water resource management and climate change adaptation. However, the field lacks comprehensive datasets and standardized benchmarks. In this paper, we introduce HydroChronos, a large-scale,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-19 Daniele Rege Cambrin , Eleonora Poeta , Eliana Pastor , Isaac Corley , Tania Cerquitelli , Elena Baralis , Paolo Garza