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In this paper we propose and study a new complexity model for approximation algorithms. The main motivation are practical problems over large data sets that need to be solved many times for different scenarios, e.g., many multicast trees…

Data Structures and Algorithms · Computer Science 2010-06-18 Marek Cygan , Lukasz Kowalik , Marcin Mucha , Marcin Pilipczuk , Piotr Sankowski

This paper proposes the automatic Doubly Robust Random Forest (DRRF) algorithm for estimating the conditional expectation of a moment functional in the presence of high-dimensional nuisance functions. DRRF extends the automatic debiasing…

Methodology · Statistics 2025-06-10 Zhaomeng Chen , Junting Duan , Victor Chernozhukov , Vasilis Syrgkanis

The forest fire model is a reaction-diffusion model where energy, in the form of trees, is injected uniformly, and burned (dissipated) locally. We show that the spatial distribution of fires forms a novel geometric structure where the…

Statistical Mechanics · Physics 2009-10-31 Kan Chen , Per Bak

We study finite-size effects in the self-organized critical forest-fire model by numerically evaluating the tree density and the fire size distribution. The results show that this model does not display the finite-size scaling seen in…

Statistical Mechanics · Physics 2009-10-31 Klaus Schenk , Barbara Drossel , Siegfried Clar , Franz Schwabl

Proposed here is a dynamic Monte-Carlo algorithm that is efficient in simulating dense systems of long flexible chain molecules. It expands on the configurational-bias Monte-Carlo method through the simultaneous generation of a large set of…

Statistical Mechanics · Physics 2018-08-29 Niels Boon

Fire is an indissoluble component of ecosystems, however quantifying the effects of fire on vegetation is challenging task as fire lies outside the typical experimental design attributes. A recent simulation study showed that under…

Populations and Evolution · Quantitative Biology 2014-12-16 Aristides Moustakas

The Bak-Chen-Tang forest fire model was proposed as a toy model of turbulent systems, where energy (in the form of trees) is injected uniformly and globally, but is dissipated (burns) locally. We review our previous results on the model and…

Statistical Mechanics · Physics 2009-11-11 Kan Chen , C. Jayaprakash

We propose a new point process model that combines, in the spatio-temporal setting, both multi-scaling by hybridization and hardcore distances. Our so-called hybrid Strauss hardcore point process model allows different types of interaction,…

Applications · Statistics 2023-08-15 Morteza Raeisi , Florent Bonneu , Edith Gabriel

The problem of learning forest-structured discrete graphical models from i.i.d. samples is considered. An algorithm based on pruning of the Chow-Liu tree through adaptive thresholding is proposed. It is shown that this algorithm is both…

Information Theory · Computer Science 2011-02-15 Vincent Y. F. Tan , Animashree Anandkumar , Alan S. Willsky

Maximum entropy (Maxent) models are a class of statistical models that use the maximum entropy principle to estimate probability distributions from data. Due to the size of modern data sets, Maxent models need efficient optimization…

Machine Learning · Statistics 2024-03-12 Gabriel P. Langlois , Jatan Buch , Jérôme Darbon

Understanding the dynamics of wildfire is crucial for developing management and intervention strategies. Mathematical and computational models can be used to improve our understanding of wildfire processes and dynamics. This paper presents…

Dynamical Systems · Mathematics 2024-02-02 Cordula Reisch , Adrián Navas-Montilla , Ilhan Özgen-Xian

A sandpile model with stochastic toppling rule is studied. The control parameters and the phase diagram are determined through a MF approach, the subcritical and critical regions are analyzed. The model is found to have some similarities…

Condensed Matter · Physics 2009-10-31 Alexei Vazquez , Oscar Sotolongo-Costa

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

We consider the problem of adaptively monitoring a wildfire front using a mobile agent (e.g., a drone), whose trajectory determines where sensor data is collected and thus influences the accuracy of fire propagation estimation. This is a…

A geometric model for the computation of the firefront of a forest wildfire which takes into account several effects (possibly time-dependent wind, anisotropies and slope of the ground) is introduced. It relies on a general theoretical…

Differential Geometry · Mathematics 2024-08-07 Miguel Ángel Javaloyes , Enrique Pendás-Recondo , Miguel Sánchez

Firefly algorithm is a swarm based metaheuristic algorithm inspired by the flashing behavior of fireflies. It is an effective and an easy to implement algorithm. It has been tested on different problems from different disciplines and found…

Neural and Evolutionary Computing · Computer Science 2016-02-26 Surafel Luleseged Tilahun , Jean Medard T Ngnotchouye

Dynamic mean field theory is applied to the problem of forest fires. The starting point is the Monte Carlo simulation in a lattice of million cells. The statistics of the clusters is obtained by means of the Hoshen--Kopelman algorithm. We…

Condensed Matter · Physics 2011-12-13 K. Malarz , S. Kaczanowska , K. Kulakowski

This paper brings explicit considerations of distributed computing architectures and data structures into the rigorous design of Sequential Monte Carlo (SMC) methods. A theoretical result established recently by the authors shows that…

Computation · Statistics 2014-06-24 Anthony Lee , Nick Whiteley

Functional survival models are key tools for analyzing time-to-event data with complex predictors, such as functional or high-dimensional inputs. Despite their predictive strength, these models often lack interpretability, which limits…

Machine Learning · Statistics 2025-04-28 Giuseppe Loffredo , Elvira Romano , Fabrizio MAturo

An algorithm to improve performance parameter for unsupervised decision forest clustering and density estimation is presented. Specifically, a dual assignment parameter is introduced as a density estimator by combining Random Forest and…

Computer Vision and Pattern Recognition · Computer Science 2015-07-19 Hayder Albehadili , Naz Islam