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Considering high-temperature heating, the equations of transient heat conduction model require an adaptation, i.e. the dependence of thermophysical parameters of the model on the temperature is to be identified for each specific material to…

Systems and Control · Electrical Eng. & Systems 2022-07-04 Zhukov Petr , Glushchenko Anton , Fomin Andrey

In order to explore the effects of climate change on atmospheric convection and the water cycle, we develop and analyse an extension of the Rainy-B\'enard model, which is itself a moist version of the Rayleigh-B\'enard model of dry…

Fluid Dynamics · Physics 2025-04-09 Gregory N. Dritschel , Steven M. Tobias , Douglas J. Parker , Lorenzo Tomassini

Earth System Models (ESMs) are essential tools for understanding the impact of human actions on Earth's climate. One key application of these models is studying extreme weather events, such as heat waves or dry spells, which have…

Atmospheric and Oceanic Physics · Physics 2023-04-25 Seth Bassetti , Brian Hutchinson , Claudia Tebaldi , Ben Kravitz

The modeling of spatio-temporal trends in temperature extremes can help better understand the structure and frequency of heatwaves in a changing climate. Here, we study annual temperature maxima over Southern Europe using a century-spanning…

Methodology · Statistics 2020-09-08 Peng Zhong , Raphaël Huser , Thomas Opitz

Time series are used in many domains including finance, engineering, economics and bioinformatics generally to represent the change of a measurement over time. Modeling techniques may then be used to give a synthetic representation of such…

Methodology · Statistics 2013-12-30 Faicel Chamroukhi , Allou Samé , Gérard Govaert , Patrice Aknin

Effective adaptation and mitigation strategies for climate change require high-resolution projections to inform strategic decision-making. Conventional global climate models, which typically operate at resolutions of 150 to 200 kilometers,…

Machine learning models deployed in non-stationary environments are exposed to temporal distribution shift, which can erode predictive reliability over time. While common mitigation strategies such as periodic retraining and recalibration…

Machine Learning · Computer Science 2026-04-06 Naimur Rahman , Naazreen Tabassum

Earth System Models (ESMs) are the primary tools for investigating future Earth system states at time scales from decades to centuries, especially in response to anthropogenic greenhouse gas release. State-of-the-art ESMs can reproduce the…

Machine Learning · Computer Science 2023-06-05 Maximilian Gelbrecht , Alistair White , Sebastian Bathiany , Niklas Boers

For modeling extreme rainfall, the widely used Brown-Resnick max-stable model extends the concept of the variogram to suit bloc maxima, allowing the explicit modeling of the extremal dependence shown by the spatial data. This extremal…

Atmospheric and Oceanic Physics · Physics 2022-08-16 Oscar E. Jurado , Marco Oesting , Henning W. Rust

The purpose of this paper is to implement a random death process into a persistent random walk model which produces subballistic superdiffusion (L\'{e}vy walk). We develop a Markovian model of cell motility with the extra residence variable…

Statistical Mechanics · Physics 2015-05-20 Sergei Fedotov , Abby Tan , Andrey Zubarev

The effect of a random transverse field (RTF) on the wetting and layering transitions of a spin-1/2 Ising model, in the presence of bulk and surface fields, is studied within an effective field theory by using the differential operator…

Soft Condensed Matter · Physics 2007-05-23 L. Bahmad , A. Benyoussef , A. El-Kenz , H. Ez-Zahraouy

This paper introduces a linear state-space model with time-varying dynamics. The time dependency is obtained by forming the state dynamics matrix as a time-varying linear combination of a set of matrices. The time dependency of the weights…

Machine Learning · Statistics 2014-10-06 Jaakko Luttinen , Tapani Raiko , Alexander Ilin

The climate change dispute is about changes over time of environmental characteristics (such as rainfall). Some people say that a possible change is not so much in the mean but rather in the extreme phenomena (that is, the average rainfall…

Statistics Theory · Mathematics 2015-06-16 Laurens de Haan , Albert Klein Tank , Cláudia Neves

We present a non-linear AI-model designed to reconstruct monthly mean anomalies of the European temperature and precipitation based on the Euro-Atlantic Weather regimes (WR) indices. WR represent recurrent, quasi-stationary, and persistent…

Machine Learning · Computer Science 2025-12-11 A. Camilletti , G. Franch , E. Tomasi , M. Cristoforetti

We present a stochastic mean-reverting jump-diffusion model to simulate rainfall time series and validate it using long-term half-hourly rain fall data from the North-East region of India. The model captures the intermittent and…

Statistical Mechanics · Physics 2026-04-10 Joya GhoshDastider , D. Pal , Pankaj Kumar Mishra

In this study, we apply functional regression analysis to identify the specific within-season periods during which temperature and precipitation anomalies most affect crop yields. Using provincial data for Italy from 1952 to 2023, we…

Applications · Statistics 2026-01-21 Giovanni Bocchi , Alessandra Micheletti , Paolo Nota , Alessandro Olper

The low frequency variability of the extratropical atmosphere involves hemispheric-scale recurring, often persistent, states known as teleconnection patterns or regimes, which can have profound impact on predictability on intra-seasonal and…

Atmospheric and Oceanic Physics · Physics 2024-01-31 Dmitry Mukhin , Abdel Hannachi , Tobias Braun , Norbert Marwan

We investigate the application of conformable derivatives to model critical phenomena near continuous phase transitions. By incorporating a deformation parameter into the differential structure, we derive unified expressions for…

Statistical Mechanics · Physics 2026-01-13 José Weberszpil , Ralf Metzler

We propose a non-steady state model of the global temperature change. The model describes Earth's surface temperature dynamics under main climate forcing. The equations were derived from basic physical relationships and detailed assessment…

Predictions of global climate models typically operate on coarse spatial scales due to the large computational costs of climate simulations. This has led to a considerable interest in methods for statistical downscaling, a similar process…

Artificial Intelligence · Computer Science 2024-06-03 Christina Winkler , Paula Harder , David Rolnick
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