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Gaussian conditional realizations are routinely used for risk assessment and planning in a variety of Earth sciences applications. Conditional realizations can be obtained by first creating unconditional realizations that are then…

Methodology · Statistics 2017-02-07 Denis Marcotte , Denis Allard

Physics parameterizations are often needed for numerical weather prediction (NWP) of precipitation forecast. This is mainly because the resolutions of most computational atmospheric models are not fine enough to explicitly resolve sub-grid…

Geophysics · Physics 2025-06-19 Khanh Hung Mai , Duc Le , Kazuo Saito , Tomizawa Futo , Yohei Sawada

We review some recent methods of subgrid-scale parameterization used in the context of climate modeling. These methods are developed to take into account (subgrid) processes playing an important role in the correct representation of the…

Statistical Mechanics · Physics 2017-01-18 Jonathan Demaeyer , Stéphane Vannitsem

Trends in terrestrial temperature variability are perhaps more relevant for species viability than trends in mean temperature. In this paper, we develop methodology for estimating such trends using multi-resolution climate data from polar…

Machine Learning · Statistics 2019-01-23 Arash Khodadadi , Daniel J McDonald

Point process modeling is gaining increasing attention, as point process type data are emerging in numerous scientific applications. In this article, motivated by a neuronal spike trains study, we propose a novel point process regression…

Methodology · Statistics 2020-12-10 Xiwei Tang , Lexin Li

Numerical Weather Prediction (NWP) models that integrate coupled physical equations forward in time are the traditional tools for simulating atmospheric processes and forecasting weather. With recent advancements in deep learning, AI-based…

Computational Physics · Physics 2025-12-22 Milton Gomez , Louis Poulain--Auzeau , Alexis Berne , Tom Beucler

Accurate forecasting of multivariate time series data is important in many engineering and scientific applications. Recent state-of-the-art works ignore the inter-relations between variates, using their model on each variate independently.…

Machine Learning · Computer Science 2025-03-18 Liran Nochumsohn , Hedi Zisling , Omri Azencot

Accurate weather forecasts are important for disaster prevention, agricultural planning, etc. Traditional numerical weather prediction (NWP) methods offer physically interpretable high-accuracy predictions but are computationally expensive…

Machine Learning · Computer Science 2025-10-10 Yuan Gao , Hao Wu , Ruiqi Shu , Huanshuo Dong , Fan Xu , Rui Ray Chen , Yibo Yan , Qingsong Wen , Xuming Hu , Kun Wang , Jiahao Wu , Qing Li , Hui Xiong , Xiaomeng Huang

Statistical post-processing of global ensemble weather forecasts is revisited by leveraging recent developments in machine learning. Verification of past forecasts is exploited to learn systematic deficiencies of numerical weather…

Atmospheric and Oceanic Physics · Physics 2023-10-23 Zied Ben-Bouallegue , Jonathan A Weyn , Mariana C A Clare , Jesper Dramsch , Peter Dueben , Matthew Chantry

Probabilistic forecasts of wind speed are important for a wide range of applications, ranging from operational decision making in connection with wind power generation to storm warnings, ship routing and aviation. We present a statistical…

Applications · Statistics 2016-08-06 Michael Scheuerer , David Möller

This work is motivated by constructing a weather simulator for precipitation. Temperature and humidity are two of the most important driving forces of precipitation, and the strategy is to have a stochastic model for temperature and…

Applications · Statistics 2015-05-27 Xiangping Hu , Ingelin Steinsland , Daniel Simpson , Sara Martino , Håvard Rue

Aiming to generate realistic synthetic times series of the bivariate process of daily mean temperature and precipitations, we introduce a non-homogeneous hidden Markov model. The non-homogeneity lies in periodic transition probabilities…

Applications · Statistics 2018-10-29 Augustin Touron , Thi Thu Huong Hoang , Sylvie Parey

For many survey-based spatial modelling problems, responses are observed as spatially aggregated over survey regions due to limited resources. Covariates, from weather models and satellite imageries, can be observed at many different…

Applications · Statistics 2022-04-04 Harrison Zhu , Adam Howes , Owen van Eer , Maxime Rischard , Yingzhen Li , Dino Sejdinovic , Seth Flaxman

This paper develops forecasting methodology and application of new classes of dynamic models for time series of non-negative counts. Novel univariate models synthesise dynamic generalized linear models for binary and conditionally Poisson…

Methodology · Statistics 2022-06-07 Lindsay Berry , Mike West

Multivariate spatially-oriented data sets are prevalent in the environmental and physical sciences. Scientists seek to jointly model multiple variables, each indexed by a spatial location, to capture any underlying spatial association for…

Methodology · Statistics 2021-08-19 Lu Zhang , Sudipto Banerjee

Statistical methods are required to evaluate and quantify the uncertainty in environmental processes, such as land and sea surface temperature, in a changing climate. Typically, annual harmonics are used to characterize the variation in the…

Applications · Statistics 2020-03-17 Joshua S. North , Erin M. Schliep , Christopher K. Wikle

In this article, a multiple split method is proposed that enables construction of multidimensional probabilistic forecasts of a selected set of variables. The method uses repeated resampling to estimate uncertainty of simultaneous…

Risk Management · Quantitative Finance 2024-07-11 Katarzyna Maciejowska , Weronika Nitka

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

Given coarser-resolution projections from global climate models or satellite data, the downscaling problem aims to estimate finer-resolution regional climate data, capturing fine-scale spatial patterns and variability. Downscaling is any…

Signal Processing · Electrical Eng. & Systems 2025-01-28 Subhankar Ghosh , Arun Sharma , Jayant Gupta , Aneesh Subramanian , Shashi Shekhar

In climate change study, the infrared spectral signatures of climate change have recently been conceptually adopted, and widely applied to identifying and attributing atmospheric composition change. We propose a Bayesian hierarchical model…

Applications · Statistics 2016-04-04 Zhen Zhang , Chae Young Lim , Tapabrata Maiti , Seiji Kato