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The heavy-tailed behavior of the generalized extreme-value distribution makes it a popular choice for modeling extreme events such as floods, droughts, heatwaves, wildfires, etc. However, estimating the distribution's parameters using…

Nonlinear regression is a useful statistical tool, relating observed data and a nonlinear function of unknown parameters. When the parameter-dependent nonlinear function is computationally intensive, a straightforward regression analysis by…

Applications · Statistics 2009-01-26 Dorin Drignei , Chris E. Forest , Doug Nychka

This paper presents a novel system for monitoring cattle behavior and detecting estrus (heat) periods using sensor data and machine learning. We designed and deployed a low-cost Bluetooth-based neck collar equipped with accelerometer and…

Machine Learning · Computer Science 2025-06-23 Druva Dhakshinamoorthy , Avikshit Jha , Sabyasachi Majumdar , Devdulal Ghosh , Ranjita Chakraborty , Hena Ray

Climate change is commonly associated with an overall increase in mean temperature in a defined past time period. Many studies consider temperature trends at the global scale, but the literature is lacking in in-depth analysis of the…

Applications · Statistics 2022-10-12 Qibin Duan , Clare A. McGrory , Glenn Brown , Kerrie Mengersen , You-Gan Wang

Temperature-dependent transport data, including diffusion coefficients and ionic conductivities, are routinely analysed by fitting empirical models such as the Arrhenius equation. These fitted models yield parameters such as the activation…

Materials Science · Physics 2026-05-25 Andrew R. McCluskey , Samuel W. Coles , Benjamin J. Morgan

Computing the return times of extreme events and assessing the impact of climate change on such return times is fundamental to extreme event attribution studies. However, the rarity of such events in the observational record makes this task…

Atmospheric and Oceanic Physics · Physics 2024-12-03 Clément Le Priol , Joy M. Monteiro , Freddy Bouchet

Climate models are biased with respect to real-world observations. They usually need to be adjusted before being used in impact studies. The suite of statistical methods that enable such adjustments is called bias correction (BC). However,…

Machine Learning · Computer Science 2025-01-08 Omer Nivron , Damon J. Wischik , Mathieu Vrac , Emily Shuckburgh , Alex T. Archibald

For a continuous-time catalytic branching random walk (CBRW) on Z, with an arbitrary finite number of catalysts, we study the asymptotic behavior of position of the rightmost particle when time tends to infinity. The mild requirements…

Probability · Mathematics 2020-07-14 Ekaterina Vl. Bulinskaya

We employ an ensemble of hydrodynamic cluster simulations to create spatially and spectrally resolved images of quality comparable to Chandra's expected performance. Emission from simulation mass elements is represented using the XSPEC…

Astrophysics · Physics 2009-10-31 Benjamin F. Mathiesen , August E. Evrard

Climate change poses a major challenge to humanity, especially in its impact on agriculture, a challenge that a responsible AI should meet. In this paper, we examine a CBR system (PBI-CBR) designed to aid sustainable dairy farming by…

Artificial Intelligence · Computer Science 2021-04-30 Mohammed Temraz , Eoin Kenny , Elodie Ruelle , Laurence Shalloo , Barry Smyth , Mark T Keane

As the costs of sensors and associated IT infrastructure decreases - as exemplified by the Internet of Things - increasing volumes of observational data are becoming available for use by environmental scientists. However, as the number of…

Machine Learning · Statistics 2022-01-26 Charlie Kirkwood , Theo Economou , Henry Odbert , Nicolas Pugeault

Computer Vision practitioners must thoroughly understand their model's performance, but conditional evaluation is complex and error-prone. In biometric verification, model performance over continuous covariates---real-number attributes of…

Machine Learning · Computer Science 2020-09-22 Mel McCurrie , Hamish Nicholson , Walter J. Scheirer , Samuel Anthony

There is increasing evidence that global warming manifests itself in more frequent warm days and that heat waves will become more frequent. Presently, a formal definition of a heat wave is not agreed upon in the literature. To avoid this…

Determining whether Global Average Temperature (GAT) is an integrated process of order 1, I(1), or is a stationary process around a trend function is crucial for detection, attribution, impact and forecasting studies of climate change. In…

Econometrics · Economics 2023-12-12 Maria Dolores Gadea , Jesus Gonzalo , Andrey Ramos

In high-frequency financial data not only returns, but also waiting times between consecutive trades are random variables. Therefore, it is possible to apply continuous-time random walks (CTRWs) as phenomenological models of the…

Statistical Mechanics · Physics 2008-12-02 Enrico Scalas , Rudolf Gorenflo , Francesco Mainardi , Maurizio Mantelli , Marco Raberto

Accurate uncertainty quantification in graph neural networks (GNNs) is essential, especially in high-stakes domains where GNNs are frequently employed. Conformal prediction (CP) offers a promising framework for quantifying uncertainty by…

Machine Learning · Computer Science 2023-12-06 Seohyeon Cha , Honggu Kang , Joonhyuk Kang

We consider the problem of estimating a temperature-dependent thermal conductivity model (curve) from temperature measurements. We apply a Bayesian estimation approach that takes into account measurement errors and limited prior information…

Computational Engineering, Finance, and Science · Computer Science 2024-03-21 Rodrigo L. S. Silva , Clemens Verhoosel , Erik Quaeghebeur

Detecting early warning signals in climatic time series is essential for anticipating critical transitions and tipping points. Common statistical indicators include increased variance and lag-one autocorrelation prior to bifurcation points.…

Methodology · Statistics 2026-02-11 Sigrunn H. Sørbye , Eirik Myrvoll-Nilsen , Håvard Rue

Logarithmic aging phenomena are prevalent in various systems, including electronic materials and biological structures. This study utilizes a generalized continuous time random walk (CTRW) framework to investigate the mechanisms behind the…

Statistical Mechanics · Physics 2024-09-24 Chunyan Li , Haiwen Liu , X. C. Xie

By informing the onset of the degradation process, health status evaluation serves as a significant preliminary step for reliable remaining useful life (RUL) estimation of complex equipment. This paper proposes a novel temporal dynamics…

Machine Learning · Computer Science 2024-01-10 Anushiya Arunan , Yan Qin , Xiaoli Li , Chau Yuen
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