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A well-established model for the genealogy of a large population in equilibrium is Kingman's coalescent. For the population together with its genealogy evolving in time, this gives rise to a time-stationary tree-valued process. We study the…

Probability · Mathematics 2010-05-18 Peter Pfaffelhuber , Anton Wakolbinger , Heinz Weisshaupt

Causal inference has gained much popularity in recent years, with interests ranging from academic, to industrial, to educational, and all in between. Concurrently, the study and usage of neural networks has also grown profoundly (albeit at…

Machine Learning · Statistics 2024-05-07 Demetrios Papakostas , Andrew Herren , P. Richard Hahn , Francisco Castillo

Phylogenomics has ushered in an age of discordance. Analyses often reveal abundant discordances among phylogenies of different parts of genomes, as well as incongruences between species trees obtained using different methods or data…

Populations and Evolution · Quantitative Biology 2018-02-01 Erfan Sayyari , James B. Whitfield , Siavash Mirarab

Plant phenotyping tasks such as leaf segmentation and counting are fundamental to the study of phenotypic traits. Since it is well-suited for these tasks, deep supervised learning has been prevalent in recent works proposing better…

Computer Vision and Pattern Recognition · Computer Science 2020-12-22 Douglas Pinto Sampaio Gomes , Lihong Zheng

This paper presents a new approach for trees-based regression, such as simple regression tree, random forest and gradient boosting, in settings involving correlated data. We show the problems that arise when implementing standard…

Methodology · Statistics 2021-08-09 Assaf Rabinowicz , Saharon Rosset

Causal inference is essential for data-driven decision-making, as it aims to uncover causal relationships from observational data. However, identifying causality remains challenging due to the potential for confounding and the distinction…

Machine Learning · Statistics 2026-05-08 Tianyu Yang , Md. Noor-E-Alam

Tree Containment is a fundamental problem in phylogenetics useful for verifying a proposed phylogenetic network, representing the evolutionary history of certain species. Tree Containment asks whether the given phylogenetic tree (for…

Populations and Evolution · Quantitative Biology 2024-06-14 Arkadiy Dushatskiy , Esther Julien , Leen Stougie , Leo van Iersel

In evolutionary biology, the speciation history of living organisms is represented graphically by a phylogeny, that is, a rooted tree whose leaves correspond to current species and branchings indicate past speciation events. Phylogenies are…

Populations and Evolution · Quantitative Biology 2019-08-02 Wai-Tong Louis Fan , Sebastien Roch

A variety of methods have been proposed for interpreting nodes in deep neural networks, which typically involve scoring nodes at lower layers with respect to their effects on the output of higher-layer nodes (where lower and higher layers…

Machine Learning · Computer Science 2018-12-04 Jonathan Warrell , Hussein Mohsen , Mark Gerstein

The goal of these lectures is to review some mathematical aspects of random tree models used in evolutionary biology to model gene trees or species trees. We start with stochastic models of tree shapes (finite trees without edge lengths),…

Probability · Mathematics 2017-08-30 Amaury Lambert

Phylogenetic mixtures model the inhomogeneous molecular evolution commonly observed in data. The performance of phylogenetic reconstruction methods where the underlying data is generated by a mixture model has stimulated considerable recent…

Populations and Evolution · Quantitative Biology 2007-06-30 Frederick A. Matsen , Mike Steel

We prove a new formula for the generating function of multitype Cayley trees counted according to their degree distribution. Using this formula we recover and extend several enumerative results about trees. In particular, we extend some…

Combinatorics · Mathematics 2013-04-08 Olivier Bernardi , Alejandro H. Morales

Reconstructing the tree of life from molecular sequences is a fundamental problem in computational biology. Modern data sets often contain a large number of genes, which can complicate the reconstruction problem due to the fact that…

Probability · Mathematics 2017-07-21 Constantinos Daskalakis , Sebastien Roch

The segmentation of individual trees from forest point clouds is a crucial task for downstream analyses such as carbon sequestration estimation. Recently, deep-learning-based methods have been proposed which show the potential of learning…

Computer Vision and Pattern Recognition · Computer Science 2024-05-06 Jonathan Henrich , Jan van Delden

Given a set of species whose evolution is represented by a species tree, a gene family is a group of genes having evolved from a single ancestral gene. A gene family evolves along the branches of a species tree through various mechanisms,…

Combinatorics · Mathematics 2019-05-14 Cedric Chauve , Yann Ponty , Michael Wallner

The estimation of probability densities based on available data is a central task in many statistical applications. Especially in the case of large ensembles with many samples or high-dimensional sample spaces, computationally efficient…

Methodology · Statistics 2017-05-04 Daniel W. Meyer

Tree-based methods are powerful nonparametric techniques in statistics and machine learning. However, their effectiveness, particularly in finite-sample settings, is not fully understood. Recent applications have revealed their surprising…

Statistics Theory · Mathematics 2024-10-04 Hengrui Luo , Meng Li

Tree shape statistics, particularly measures of tree (im)balance, play an important role in the analysis of the shape of phylogenetic trees. With applications ranging from testing evolutionary models to studying the impact of fertility…

Populations and Evolution · Quantitative Biology 2024-10-15 Sophie J. Kersting , Kristina Wicke , Mareike Fischer

This study introduces a new method of visualizing complex tree structured objects. The usefulness of this method is illustrated in the context of detecting unexpected features in a data set of very large trees. The major contribution is a…

Applications · Statistics 2012-02-14 Burcu Aydin , Gabor Pataki , Haonan Wang , Alim Ladha , Elizabeth Bullitt , J. S. Marron

Most real-world classification problems deal with imbalanced datasets, posing a challenge for Artificial Intelligence (AI), i.e., machine learning algorithms, because the minority class, which is of extreme interest, often proves difficult…

Machine Learning · Computer Science 2025-04-28 Gissel Velarde , Michael Weichert , Anuj Deshmunkh , Sanjay Deshmane , Anindya Sudhir , Khushboo Sharma , Vaibhav Joshi
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