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We present a simple, efficient model for learning boundary detection based on a random forest classifier. Our approach combines (1) efficient clustering of training examples based on simple partitioning of the space of local edge…

计算机视觉与模式识别 · 计算机科学 2015-06-30 Sam Hallman , Charless C. Fowlkes

We turn the stochastic critical forest-fire model introduced by Drossel and Schwabl (PRL 69, 1629, 1992) into a deterministic threshold model. This new model has many features in common with sandpile and earthquake models of Self-Organized…

统计力学 · 物理学 2009-10-31 Proshun Sinha-Ray , Henrik Jeldtoft Jensen

Random forests are a very effective and commonly used statistical method, but their full theoretical analysis is still an open problem. As a first step, simplified models such as purely random forests have been introduced, in order to shed…

统计理论 · 数学 2014-07-16 Sylvain Arlot , Robin Genuer

Let $T$ be a regular rooted tree. For every natural number $n$, let $B_n$ be the finite subtree of vertices with graph distance at most $n$ from the root. Consider the following forest-fire model on $B_n$: Each vertex can be "vacant" or…

概率论 · 数学 2014-04-02 Robert Graf

Because most natural phenomena exhibit dependence at multiple scales like locations of earthquakes or forest fire occurrences, spatio-temporal single-scale point process models are unrealistic in many applications. This motivates us to…

应用统计 · 统计学 2020-12-18 Morteza Raeisi , Florent Bonneu , Edith Gabriel

We show that the byproducts of the standard training process of a random forest yield not only the well known and almost computationally free out-of-bag point estimate of the model generalization error, but also give a direct path to…

机器学习 · 统计学 2022-03-14 Paulo C. Marques F

Forest-savanna bistability - the hypothesis that forests and savannas exist as alternative stable states in the tropics - and its implications are key challenges for mathematical modelers and ecologists in the context of ongoing climate…

种群与进化 · 定量生物学 2025-05-05 Kimberly Shen , Simon Levin , Denis D. Patterson

We study a model for the destruction of a random network by fire. Suppose that we are given a multigraph of minimum degree at least 2 having real-valued edge-lengths. We pick a uniform point from along the length and set it alight; the…

概率论 · 数学 2026-01-14 Christina Goldschmidt , Eleonora Kreačić

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…

统计力学 · 物理学 2009-11-11 Kan Chen , C. Jayaprakash

In this paper we consider a classical model of gasless combustion in a one dimensional formulation under the assumption of ignition temperature kinetics. We study the propagation of flame fronts in this model when the initial distribution…

斑图形成与孤子 · 物理学 2024-03-06 Amanda Matson , Leonid Kagan , Claude-Michel Brauner , Gregory Sivashinsky , Peter V. Gordon

The random forest algorithm, proposed by L. Breiman in 2001, has been extremely successful as a general-purpose classification and regression method. The approach, which combines several randomized decision trees and aggregates their…

统计理论 · 数学 2015-11-19 Gérard Biau , Erwan Scornet

We consider a class of density-dependent branching processes which generalises exponential, logistic and Gompertz growth. A population begins with a single individual, grows exponentially initially, and then growth may slow down as the…

概率论 · 数学 2022-04-11 David Cheek

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…

统计力学 · 物理学 2009-10-31 Klaus Schenk , Barbara Drossel , Siegfried Clar , Franz Schwabl

Random Forests are one of the most popular classifiers in machine learning. The larger they are, the more precise is the outcome of their predictions. However, this comes at a cost: their running time for classification grows linearly with…

机器学习 · 计算机科学 2019-12-24 Frederik Gossen , Bernhard Steffen

Motivated as a null model for comparison with data, we study the following model for a phylogenetic tree on $n$ extant species. The origin of the clade is a random time in the past, whose (improper) distribution is uniform on $(0,\infty)$.…

概率论 · 数学 2007-05-23 David J. Aldous , Lea Popovic

Two wildland fire models are described, one based on reaction-diffusion-convection partial differential equations, and one based on semi-empirical fire spread by the level let method. The level set method model is coupled with the Weather…

大气与海洋物理 · 物理学 2010-03-01 Jan Mandel , Jonathan D. Beezley , Janice L. Coen , Minjeong Kim

Few researches have studied simultaneous detection of smoke and flame accompanying fires due to their different physical natures that lead to uncertain fluid patterns. In this study, we collect a large image data set to re-label them as a…

计算机视觉与模式识别 · 计算机科学 2022-02-17 Hang Zhang , Su Yang , Hongyong Wang , zhongyan lu , helin sun

Various flame tracking techniques are often used in hydrodynamic simulations. Their use is indispensable when resolving actual scale of the flame is impossible. We show that parameters defining "artificial flame" propagation found from…

天体物理学 · 物理学 2007-05-23 Andrey V. Zhiglo

Climate change is expected to aggravate wildfire activity through the exacerbation of fire weather. Improving our capabilities to anticipate wildfires on a global scale is of uttermost importance for mitigating their negative effects. In…

The explosive growth of spatial data and extensive utilization of spatial databases emphasize the necessity for the automated discovery of spatial knowledge. In modern times, spatial data mining has emerged as an area of voluminous…

其他计算机科学 · 计算机科学 2010-02-11 K. Angayarkkani , N. Radhakrishnan