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Due to climate change, the extreme wildfire has become one of the most dangerous natural hazards to human civilization. Even though, some wildfires may be initially caused by human activity, but the spread of wildfires is mainly determined…

Machine Learning · Computer Science 2025-03-13 Qijun Chen , Shaofan Li

We study a probabilistic cellular automaton to describe two population biology problems: the threshold of species coexistence in a predator-prey system and the spreading of an epidemic in a population. By carrying out time-dependent…

Statistical Mechanics · Physics 2015-06-25 Everaldo Arashiro , Tania Tome

We present a formal mathematical multi-agent modeling framework for autonomously combating a wildland fire with unmanned aerial vehicles. The problem is formulated as a collaboration between a drone and a helicopter equipped with a tanker.…

Optimization and Control · Mathematics 2023-01-18 Lawrence Thul , Warren B Powell

We propose an asymmetric modification of the sand-pile-like cellular automaton for earthquake modeling. The cumulative event distribution is shown to be dependent on the asymmetry parameter.

chao-dyn · Physics 2007-05-23 P. G. Akishin , M. V. Altaisky , A. D. Budnik , V. V. Ivanov , I. Antoniou

Unmanned Aerial Vehicle (UAV) path planning algorithms often assume a knowledge reward function or priority map, indicating the most important areas to visit. In this paper we propose a method to create priority maps for monitoring or…

Robotics · Computer Science 2019-03-28 Vera L. J. Somers , Ian R. Manchester

Parallel algorithms for solving any image processing task is a highly demanded approach in the modern world. Cellular Automata (CA) are the most common and simple models of parallel computation. So, CA has been successfully used in the…

Computer Vision and Pattern Recognition · Computer Science 2014-07-30 Deepak Ranjan Nayak , Prashanta Kumar Patra , Amitav Mahapatra

In this paper, the author aims to establish a mathematical model for a mimic computer. To this end, a novel automaton is proposed. First, a one-dimensional cellular automaton is used for expressing some dynamic changes in the structure of a…

Formal Languages and Automata Theory · Computer Science 2017-03-07 Weijun Zhu

Cellular automata have been useful artificial models for exploring how relatively simple rules combined with spatial memory can give rise to complex emergent patterns. Moreover, studying the dynamics of how rules emerge under artificial…

Cellular Automata and Lattice Gases · Physics 2014-07-11 Theodore P. Pavlic , Alyssa M. Adams , Paul C. W. Davies , Sara Imari Walker

The increasing frequency and intensity of wildfires underscore the need for accurate predictive models to enhance wildfire management. Traditional models, such as Rothermel and FARSITE, provide foundational insights but often oversimplify…

Systems and Control · Electrical Eng. & Systems 2024-12-30 Hengameh R. Dehkordi

COVID-19 pandemic is severely impacting the lives of billions across the globe. Even after taking massive protective measures like nation-wide lockdowns, discontinuation of international flight services, rigorous testing etc., the infection…

Quantitative Methods · Quantitative Biology 2020-08-28 Sayantari Ghosh , Saumik Bhattacharya

We propose Neural Cellular Automata (NCA) to simulate the microstructure development during the solidification process in metals. Based on convolutional neural networks, NCA can learn essential solidification features, such as preferred…

Materials Science · Physics 2023-09-08 Jian Tang , Siddhant Kumar , Laura De Lorenzis , Ehsan Hosseini

Wildfires are among the most severe disturbances affecting forest ecosystems, with over 50,000 hectares burned in Patagonia, Argentina, during 2025 alone. This study implements a Reaction-Diffusion-Convection (RDC) model to simulate…

Disordered Systems and Neural Networks · Physics 2026-05-04 Lucas Becerra , Monica Malen Denham , Alejandro B. Kolton , Karina Laneri

Traffic models based on cellular automata have high computational efficiency because of their simplicity in describing unrealistic vehicular behavior and the versatility of cellular automata to be implemented on parallel processing. On the…

Multiagent Systems · Computer Science 2013-02-05 Emanuele Rodaro , Öznur Yeldan

We describe the coupled atmosphere-wildfire model WRF-Fire, which is distributed as a part of WRF. The fire module is based on a fire-spread model, implemented by the level-set method. In each time step, the fire module takes the wind as…

Atmospheric and Oceanic Physics · Physics 2011-02-01 Jan Mandel , Jonathan D. Beezley , Adam K. Kochanski

Wildfires are destructive and inflict massive, irreversible harm to victims' lives and natural resources. Researchers have proposed commissioning unmanned aerial vehicles (UAVs) to provide firefighters with real-time tracking information;…

Robotics · Computer Science 2019-03-19 Esmaeil Seraj , Andrew Silva , Matthew Gombolay

Predicting future states in uncertain environments, such as wildfire spread, medical diagnosis, or autonomous driving, requires models that can consider multiple plausible outcomes. While diffusion models can effectively learn such…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Sebastian Gerard , Josephine Sullivan

As wildfires are expected to become more frequent and severe, improved prediction models are vital to mitigating risk and allocating resources. With remote sensing data, valuable spatiotemporal statistical models can be created and used for…

Machine Learning · Computer Science 2021-11-30 Alissa Chavalithumrong , Hyung-Jin Yoon , Petros Voulgaris

In this paper we present two interesting properties of stochastic cellular automata that can be helpful in analyzing the dynamical behavior of such automata. The first property allows for calculating cell-wise probability distributions over…

Formal Languages and Automata Theory · Computer Science 2015-08-20 Witold Bołt , Jan M. Baetens , Bernard DeBaets

Using the concept of the Boolean derivative we study damage spreading for one dimensional elementary cellular automata and define their maximal Lyapunov exponent. A random matrix approximation describes quite well the behavior of…

Statistical Mechanics · Physics 2007-05-23 F. Bagnoli , R. Rechtman , S. Ruffo

We present simulations of evacuation processes using a recently introduced cellular automaton model for pedestrian dynamics. This model applies a bionics approach to describe the interaction between the pedestrians using ideas from…

Statistical Mechanics · Physics 2015-06-24 Ansgar Kirchner , Andreas Schadschneider