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Changes in the timescales at which complex systems evolve are essential to predicting critical transitions and catastrophic failures. Disentangling the timescales of the dynamics governing complex systems remains a key challenge. With this…

Methodology · Statistics 2024-03-11 Giona Casiraghi , Georges Andres

Functional data analysis, which models data as realizations of random functions over a continuum, has emerged as a useful tool for time series data. Often, the goal is to infer the dynamic connections (or time-varying conditional…

Methodology · Statistics 2024-12-10 Chunshan Liu , Daniel R. Kowal , James Doss-Gollin , Marina Vannucci

In many forest fire incidences, late detection of the fire has lead to severe damages to the forest and human property requiring more resources to gain control over the fire. An early warning and immediate response system can be a promising…

Signal Processing · Electrical Eng. & Systems 2018-10-18 Kaushlendra Pandey , Abhishek Gupta

Change detection in remote sensing imagery is essential for a variety of applications such as urban planning, disaster management, and climate research. However, existing methods for identifying semantically changed areas overlook the…

Computer Vision and Pattern Recognition · Computer Science 2023-12-08 Maximilian Bernhard , Niklas Strauß , Matthias Schubert

The aim of this paper is to explore and develop advanced spatial Bayesian assessment methods and techniques for land use modeling. The paper provides a comprehensive guide for assessing additional informational entropy value of model…

Methodology · Statistics 2008-06-17 Kostas Alexandridis , Bryan C. Pijanowski

Predicting the extent of massive wildfires once ignited is essential to reduce the subsequent socioeconomic losses and environmental damage, but challenging because of the complexity of fire behaviour. Existing physics-based models are…

Machine Learning · Computer Science 2024-12-12 Bo Pang , Sibo Cheng , Yuhan Huang , Yufang Jin , Yike Guo , I. Colin Prentice , Sandy P. Harrison , Rossella Arcucci

Flexible spatial models that allow transitions between tail dependence classes have recently appeared in the literature. However, inference for these models is computationally prohibitive, even in moderate dimensions, due to the necessity…

Statistics Theory · Mathematics 2020-12-03 Likun Zhang , Benjamin A. Shaby , Jennifer L. Wadsworth

Wildfire risk prediction remains a critical yet challenging task due to the complex interactions among fuel conditions, meteorology, topography, and human activity. Despite growing interest in data-driven approaches, publicly available…

Computer Vision and Pattern Recognition · Computer Science 2026-01-01 Zhengsen Xu , Sibo Cheng , Lanying Wang , Hongjie He , Wentao Sun , Jonathan Li , Lincoln Linlin Xu

Wildfires increasingly threaten human life, ecosystems, and infrastructure, with events like the 2025 Palisades and Eaton fires in Los Angeles County underscoring the urgent need for more advanced prediction frameworks. Existing…

Artificial Intelligence · Computer Science 2025-08-05 Haowen Xu , Sisi Zlatanova , Ruiyu Liang , Ismet Canbulat

Spatial boundaries, such as ecological transitions or climatic regime interfaces, capture steep environmental gradients, and shifts in their structure can signal emerging environmental changes. Quantifying uncertainty in spatial boundary…

Applications · Statistics 2025-12-18 Stephen Tivenan , Indranil Sahoo , Yanjun Qian

We present a strategy for the numerical solution of convection-coupled phase-transition problems, with focus on solidification and melting. We solve for the temperature and flow fields over time. The position of the phase-change interface…

Numerical Analysis · Mathematics 2022-02-28 Leonardo Boledi , Benjamin Terschanski , Stefanie Elgeti , Julia Kowalski

Industrial accidents, chemical spills, and structural fires can release large amounts of harmful materials that disperse into urban atmospheres and impact populated areas. Computer models are typically used to predict the transport of toxic…

Machine Learning · Computer Science 2024-06-06 Yinan Wang , M. Giselle Fernández-Godino , Nipun Gunawardena , Donald D. Lucas , Xiaowei Yue

The Burning Index (BI) produced daily by the United States government's National Fire Danger Rating System is commonly used in forecasting the hazard of wildfire activity in the United States. However, recent evaluations have shown the BI…

Applications · Statistics 2011-08-04 Haiyong Xu , Frederic Paik Schoenberg

Self-exciting spatiotemporal Hawkes processes have found increasing use in the study of large-scale public health threats ranging from gun violence and earthquakes to wildfires and viral contagion. Whereas many such applications feature…

Methodology · Statistics 2021-07-14 Andrew J. Holbrook , Xiang Ji , Marc A. Suchard

Wildfires propagate through intricate interactions between wind, fuel, and terrain, resulting in complex behaviors that pose challenges for accurate predictions. This study investigates the interaction between wind velocity topology and…

Fluid Dynamics · Physics 2025-04-23 Siva Viknesh , Ali Tohidi , Fatemeh Afghah , Rob Stoll , Amirhossein Arzani

The boundary integral method is extended to derive closed integro-differential equations applicable to computation of the shape and propagation speed of a steadily moving spot and to the analysis of dynamic instabilities in the sharp…

Pattern Formation and Solitons · Physics 2016-09-07 L. M. Pismen

Bayesian learning has emerged as a compelling and vital research direction in the field of structural dynamics, offering a probabilistic lens to understand and refine the analysis of complex dynamical systems. This review meticulously…

Data Analysis, Statistics and Probability · Physics 2025-06-03 Wang-Ji Yan , Lin-Feng Mei , Yuan-Wei Yin , Jiang Mo , Costas Papadimitriou , Ka-Veng Yuen , Michael Beer

Wildland fire smoke exposures are an increasing threat to public health, and thus there is a growing need for studying the effects of protective behaviors on reducing health outcomes. Emerging smartphone applications provide unprecedented…

Methodology · Statistics 2024-07-09 Lili Wu , Chenyin Gao , Shu Yang , Brian J. Reich , Ana G. Rappold

In this work, we introduce a generalized framework for multiscale state-space modeling that incorporates nested nonlinear dynamics, with a specific focus on Bayesian learning under switching regimes. Our framework captures the complex…

Machine Learning · Statistics 2024-10-31 Nayely Vélez-Cruz , Manfred D. Laubichler

Forest fires are the outcome of a complex interaction between environmental factors, topography and socioeconomic factors (Bedia et al, 2014). Therefore, understand causality and early prediction are crucial elements for controlling such…