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Random forest (RF) methodology is one of the most popular machine learning techniques for prediction problems. In this article, we discuss some cases where random forests may suffer and propose a novel generalized RF method, namely…

Machine Learning · Statistics 2019-04-24 Haozhe Zhang , Dan Nettleton , Zhengyuan Zhu

In classical extreme value theory probabilities of extreme events are estimated assuming all the components of a random vector to be in a domain of attraction of an extreme value distribution. In contrast, the conditional extreme value…

Statistics Theory · Mathematics 2011-08-30 Bikramjit Das , Sidney I. Resnick

Coupled human-environment systems are increasingly being understood as complex adaptive systems (CAS), in which micro-level interactions between components lead to emergent behavior. Agent-based models (ABMs) hold great promise for…

Applications · Statistics 2026-02-20 Dylan Munson , Arijit Dey , Simon Mak

Atmospheric Extreme Events (EEs) cause severe damages to human societies and ecosystems. The frequency and intensity of EEs and other associated events are increasing in the current climate change and global warming risk. The accurate…

Extreme weather is one of the main mechanisms through which climate change will directly impact human society. Coping with such change as a global community requires markedly improved understanding of how global warming drives extreme…

Computational Physics · Physics 2019-09-18 Adam Rupe , Karthik Kashinath , Nalini Kumar , Victor Lee , Prabhat , James P. Crutchfield

Chapman's model for ozone concentration is studied. In this nonlinear model, the photodissociation coefficients for $O_{2}$ and $O_{3}$ are time-depending due to earth-rotation. From the Kapitsa's method, valid in the high frequency limit,…

Atmospheric and Oceanic Physics · Physics 2007-05-23 J. C. Flores , S. Montecinos

Classical methods for quantile regression fail in cases where the quantile of interest is extreme and only few or no training data points exceed it. Asymptotic results from extreme value theory can be used to extrapolate beyond the range of…

Methodology · Statistics 2024-01-23 Nicola Gnecco , Edossa Merga Terefe , Sebastian Engelke

As our planet is entering into the "global boiling" era, understanding regional climate change becomes imperative. Effective downscaling methods that provide localized insights are crucial for this target. Traditional approaches, including…

Atmospheric and Oceanic Physics · Physics 2024-04-08 Fenghua Ling , Zeyu Lu , Jing-Jia Luo , Lei Bai , Swadhin K. Behera , Dachao Jin , Baoxiang Pan , Huidong Jiang , Toshio Yamagata

Mexico City tracks ground-level ozone levels to assess compliance with national ambient air quality standards and to prevent environmental health emergencies. Ozone levels show distinct daily patterns, within the city, and over the course…

Applications · Statistics 2019-04-29 Philip A. White , Emilio Porcu

We introduce a minimization formulation for the determination of a finite-dimensional, time-dependent, orthonormal basis that captures directions of the phase space associated with transient instabilities. While these instabilities have…

Computational Physics · Physics 2016-04-27 Hessam Babaee , Themistoklis Sapsis

Extreme value theory for chaotic dynamical systems is a rapidly expanding area of research. Given a system and a real function (observable) defined on its phase space, extreme value theory studies the limit probabilistic laws obeyed by…

Dynamical Systems · Mathematics 2015-05-28 Mark P. Holland , Renato Vitolo , Pau Rabassa , Alef E. Sterk , Henk W. Broer

Connected and Automated Hybrid Electric Vehicles have the potential to reduce fuel consumption and travel time in real-world driving conditions. The eco-driving problem seeks to design optimal speed and power usage profiles based upon…

Machine Learning · Computer Science 2022-02-01 Zhaoxuan Zhu , Nicola Pivaro , Shobhit Gupta , Abhishek Gupta , Marcello Canova

The rapid ascent in carbon dioxide emissions is a major cause of global warming and climate change, which pose a huge threat to human survival and impose far-reaching influence on the global ecosystem. Therefore, it is very necessary to…

Artificial Intelligence · Computer Science 2023-02-03 Xiangqian Li

This paper introduces a method for spatial interpolation of extreme values, and in particular targets the case in which conventional data, resulting from a measurement for example, are available at only a few locations. To overcome this the…

Methodology · Statistics 2012-03-13 B. D. Youngman

Mesoscale convective systems MCSs play a central role in tropical rainfall and are closely linked to extreme precipitation and large scale variability. However, a quantitative understanding of their environmental controls remains…

Computational Physics · Physics 2026-04-24 Huaiping Wang , Qiu Yang

Motivated by the study of pollution trends in the city of Bergen, we introduce a flexible statistical framework for modeling multivariate air pollution data via a nonhomogeneous Hidden Semi-Markov Vector Auto-Regression. The hidden process…

Weather extremes are a major societal and economic hazard, claiming thousands of lives and causing billions of dollars in damage every year. Under climate change, their impact and intensity are expected to worsen significantly.…

Machine Learning · Computer Science 2022-10-24 Antoine Blanchard , Nishant Parashar , Boyko Dodov , Christian Lessig , Themistoklis Sapsis

Climate models are essential for assessing the impact of greenhouse gas emissions on our changing climate and the resulting increase in the frequency and severity of natural disasters. Despite the widespread acceptance of climate models…

Atmospheric and Oceanic Physics · Physics 2023-11-08 Vsevolod Morozov , Artem Galliamov , Aleksandr Lukashevich , Antonina Kurdukova , Yury Maximov

Routing decisions are initially based on minimizing travel time. Nevertheless, eco-routing considers the environmental aspect (e.g. emissions, fuel, and exposure) and was introduced to replace the initial routing concept to mitigate the…

Systems and Control · Electrical Eng. & Systems 2019-12-17 Lama Alfaseeh , Bilal Farooq

Spatial epidemiology identifies the drivers of elevated population-level disease risks, using disease counts, exposures and known confounders at the areal unit level. Poisson regression models are typically used for inference, which…

Methodology · Statistics 2026-02-03 Duncan Lee , Vinny Davies