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We propose a tree regularization framework, which enables many tree models to perform feature selection efficiently. The key idea of the regularization framework is to penalize selecting a new feature for splitting when its gain (e.g.…

机器学习 · 计算机科学 2012-03-22 Houtao Deng , George Runger

We consider the mutation--selection differential equation with pairwise interaction (or, equivalently, the diploid mutation--selection equation) and establish the corresponding ancestral process, which is a random tree and a variant of the…

概率论 · 数学 2023-04-26 Ellen Baake , Fernando Cordero , Sebastian Hummel

Coupled natural systems are generally modeled at multiple abstraction levels. Both structural scale and behavioral complexity of these models are determinants in the kinds of questions that can be posed and answered. As scale and complexity…

计算工程、金融与科学 · 计算机科学 2018-07-23 Hessam S. Sarjoughian , William A. Boyd , Miguel F. Acevedo

In this article we build a mathematical model for forest growth and we compare this model with a computer forest simulator named SORTIE. The main ingredient taken into account in both models is the competition for light between trees. The…

种群与进化 · 定量生物学 2016-09-02 Pierre Magal , Zhengyang Zhang

We introduce a simple computational model that, with a microscopic dynamics driven by natural selection and mutation alone, allows the description of true speciation events. A statistical analysis of the so generated evolutionary tree…

种群与进化 · 定量生物学 2009-11-11 V. Schwammle , E. Brigatti

We model evolution of plants in a world, made up of different locations, with multiple environments (mutually exclusive and collectively exhaustive subsets of locations). Each environment (landmass) has temperature, rainfall, and other…

种群与进化 · 定量生物学 2019-05-27 Alexander , Khazatsky , Albert Yu , Zihao Zhao , Gabe Zuckerman

We analyze export data aggregated at world global level of 219 classes of products over a period of 39 years. Our main goal is to set up a dynamical model to identify and quantify plausible mechanisms by which the evolutions of the various…

经济学 · 定量金融 2016-09-20 Michele Caraglio , Fulvio Baldovin , Attilio L. Stella

We address a novel approach for stochastic individual-based modelling of a single species population. Individuals are distinguished by their remaining lifetimes, which are regulated by the interplay between the inexorable running of time…

种群与进化 · 定量生物学 2021-01-08 Luis R. T. Neves , Leonardo Paulo Maia

We study the dynamic optimality conjecture, which predicts that splay trees are a form of universally efficient binary search tree, for any access sequence. We reduce this claim to a regular access bound, which seems plausible and might be…

数据结构与算法 · 计算机科学 2020-04-08 Luís M. S. Russo

Diversification models describe the random growth of evolutionary trees, modeling the historical relationships of species through speciation and extinction events. One class of such models allows for independently changing traits, or types,…

统计理论 · 数学 2022-06-22 Dakota Dragomir , Elizabeth S. Allman , John A. Rhodes

A method for creating a forest of model trees to fit samples of a function defined on images is described in several steps: down-sampling the images, determining a tree's hyperplanes, applying convolutions to the hyperplanes to handle small…

机器学习 · 计算机科学 2026-01-28 William Ward Armstrong , Hongyi Li , Jun Xu

We propose a stochastic model for evolution through mutation and natural selection of a population that evolves on a $\bbT_d^+$ tree. We think of this model as a way of describing the evolution fitness landscape of a population. We obtain…

概率论 · 数学 2021-04-13 Carolina Grejo , Fabio Lopes , Fábio Machado , Alejandro Roldán-Correa

Dynamic trees are mixtures of tree structured belief networks. They solve some of the problems of fixed tree networks at the cost of making exact inference intractable. For this reason approximate methods such as sampling or mean field…

机器学习 · 计算机科学 2013-01-18 Amos J. Storkey

Tree-structured models are a powerful alternative to parametric regression models if non-linear effects and interactions are present in the data. Yet, classical tree-structured models might not be appropriate if data comes in clusters of…

统计方法学 · 统计学 2025-01-23 Nikolai Spuck , Matthias Schmid , Moritz Berger

Model performance is frequently reported only for the overall population under consideration. However, due to heterogeneity, overall performance measures often do not accurately represent model performance within specific subgroups. We…

统计方法学 · 统计学 2025-06-03 Ruotao Zhang , Constantine Gatsonis , Jon Steingrimsson

We consider species tree estimation under a standard stochastic model of gene tree evolution that incorporates incomplete lineage sorting (as modeled by a coalescent process) and gene duplication and loss (as modeled by a branching…

概率论 · 数学 2020-07-15 Max Hill , Brandon Legried , Sebastien Roch

Following up on a previous work we examine a model of transportation network in some source-sink flow paradigm subjected to growth and resource allocation. The model is inspired from plants, and we add rules and factors that are analogous…

适应与自组织系统 · 物理学 2021-02-03 Olivier Bui , Xavier Leoncini

We seek models for the genotype evolution of agricultural animals, animals involved in primary production processes. Classical models for genotype evolution have tended to be very simple in order that analytic methods may be employed in…

定量方法 · 定量生物学 2017-12-15 Vladimir Obolonkin , Anatoly Zherelo , George Krylov , Murray Jorgensen , Richard Spelman

We present a novel optimal allocation model for perennial plants, in which assimilates are not allocated directly to vegetative or reproductive parts but instead go first to a storage compartment from where they are then optimally…

种群与进化 · 定量生物学 2013-10-01 Andrii Mironchenko , Jan Kozlowski

We propose a tree-based algorithm for classification and regression problems in the context of functional data analysis, which allows to leverage representation learning and multiple splitting rules at the node level, reducing…

机器学习 · 统计学 2020-11-03 Edoardo Belli , Simone Vantini