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The problem of subgroups is ubiquitous in scientific research (ex. disease heterogeneity, spatial distributions in ecology...), and piecewise regression is one way to deal with this phenomenon. Morse-Smale regression offers a way to…

Machine Learning · Statistics 2017-08-22 Colleen M. Farrelly

The Urban Heat Island (UHI) effect, defined as a significant increase in temperature in urban environments compared to surrounding areas, is difficult to study in real cities using sensor data (satellites or in-situ stations) due to their…

Understanding centennial scale climate variability requires data sets that are accurate, long, continuous and of broad spatial coverage. Since instrumental measurements are generally only available after 1850, temperature fields must be…

Applications · Statistics 2015-06-03 Dominique Guillot , Bala Rajaratnam , Julien Emile-Geay

Global Climate Models (GCMs) are crucial for predicting future climate changes by simulating the Earth systems. However, the GCM Outputs exhibit systematic biases due to model uncertainties, parameterization simplifications, and inadequate…

Machine Learning · Statistics 2025-06-09 Wentao Gao , Jiuyong Li , Debo Cheng , Lin Liu , Jixue Liu , Thuc Duy Le , Xiaojing Du , Xiongren Chen , Yanchang Zhao , Yun Chen

Quantifying the uncertainty of wind energy potential from climate models is a very time-consuming task and requires a considerable amount of computational resources. A statistical model trained on a small set of runs can act as a stochastic…

Applications · Statistics 2017-11-13 Jaehong Jeong , Yuan Yan , Stefano Castruccio , Marc G. Genton

Paleoclimate reconstruction on the Common Era (1-2000AD) provide critical context for recent warming trends. This work leverages integrated nested Laplace approximations (INLA) to conduct inference under a Bayesian hierarchical model using…

Applications · Statistics 2019-02-08 Luis A. Barboza , Julien Emile-Geay , Bo Li , Wan He

Accurately predicting long-term rainfall is challenging. Global climate indices, such as the El Ni\~no-Southern Oscillation, are standard input features for machine learning. However, a significant gap persists regarding local-scale indices…

Machine Learning · Computer Science 2026-02-20 Kiattikun Chobtham

Classical field forecast evaluation relies mainly on local scores such as RMSE or MAE. These metrics severely over-penalize small spatial or temporal displacements of coherent structures, a limitation known as the double-penalty issue and…

Atmospheric and Oceanic Physics · Physics 2026-04-20 Cyril Voyant

In this paper, we analyze the generalization performance of the Iterative Hard Thresholding (IHT) algorithm widely used for sparse recovery problems. The parameter estimation and sparsity recovery consistency of IHT has long been known in…

Machine Learning · Statistics 2022-03-18 Xiao-Tong Yuan , Ping Li

We present a spectral method for one-sided linear fractional integral equations on a closed interval that achieves exponentially fast convergence for a variety of equations, including ones with irrational order, multiple fractional orders,…

Numerical Analysis · Mathematics 2024-04-10 Tianyi Pu , Marco Fasondini

Urban heat islands (UHIs) pose a critical challenge in densely populated cities and tropical climates where large amounts of energy are used to meet the cooling demand. To address this, Building and Construction Authority (BCA) of Singapore…

Spectral analysis plays a crucial role in high-dimensional statistics, where determining the asymptotic distribution of various spectral statistics remains a challenging task. Due to the difficulties of deriving the analytic form, recent…

Statistics Theory · Mathematics 2025-04-02 Guoyu Zhang , Dandan Jiang , Fang Yao

Radiative-conductive systems are intrinsically nonlinear due to the quartic temperature dependence of thermal radiation. Under fixed total heating power, convexity arguments imply that nonuniform temperature distributions radiate more…

Quantum Physics · Physics 2026-03-05 Juntao Lu , Zihan Zhang , Yongjian Xiong , Jie Fu

The analysis of climate regions is very important for designers and architects, because the increase in density and built up spaces and reduction in open spaces and green lands induce the increase of heat, especially in an urban area,…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-01-25 Cristina Serban , Carmen Maftei

Climate change is a non-uniform phenomenon. This paper proposes a new quantitative methodology to characterize, measure, and test the existence of climate change heterogeneity. It consists of three steps. First, we introduce a new testable…

Econometrics · Economics 2023-01-09 Maria Dolores Gadea , Jesus Gonzalo

As the role played by statistical and computational sciences in climate and environmental modelling and prediction becomes more important, Machine Learning researchers are becoming more aware of the relevance of their work to help tackle…

Machine Learning · Statistics 2020-12-23 Federico Amato , Fabian Guignard , Sylvain Robert , Mikhail Kanevski

We produce new reconstructions of Northern Hemisphere annually averaged temperature anomalies back to 1000 AD, and explore the effects of including external climate forcings within the reconstruction and of accounting for short-memory and…

Applications · Statistics 2015-03-05 Luis Barboza , Bo Li , Martin P. Tingley , Frederi G. Viens

Ecological inference (EI) is the process of learning about individual behavior from aggregate data. We study a partially identified linear contextual effects model for EI and describe how to estimate the district level parameter averaging…

Applications · Statistics 2019-12-11 Wenxin Jiang , Gary King , Allen Schmaltz , Martin A. Tanner

Urban Building Energy Modeling (UBEM) is an emerging method to investigate urban design and energy systems against the increasing energy demand at urban and neighborhood levels. However, current UBEM methods are mostly physic-based and…

Machine Learning · Statistics 2023-12-06 Ting-Yu Dai , Dev Niyogi , Zoltan Nagy

Variations in zonal surface temperature gradients and zonally asymmetric tropical overturning circulations (Walker circulations) are examined over a wide range of climates simulated with an idealized atmospheric general circulation model…

Atmospheric and Oceanic Physics · Physics 2015-05-19 Timothy M. Merlis , Tapio Schneider