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Within machine learning, the supervised learning field aims at modeling the input-output relationship of a system, from past observations of its behavior. Decision trees characterize the input-output relationship through a series of nested…

Machine Learning · Statistics 2019-05-20 Arnaud Joly

Estimating phylogenetic trees is an important problem in evolutionary biology, environmental policy and medicine. Although trees are estimated, their uncertainties are discarded by mathematicians working in tree space. Here we explicitly…

Methodology · Statistics 2017-10-16 Amy D. Willis , Rayna C. Bell

We focus on generative AI for a type of data that still represent one of the most prevalent form of data: tabular data. Our paper introduces two key contributions: a new powerful class of forest-based models fit for such tasks and a simple…

Machine Learning · Computer Science 2024-11-15 Richard Nock , Mathieu Guillame-Bert

We define the beta diffusion tree, a random tree structure with a set of leaves that defines a collection of overlapping subsets of objects, known as a feature allocation. A generative process for the tree structure is defined in terms of…

Machine Learning · Statistics 2015-04-06 Creighton Heaukulani , David A. Knowles , Zoubin Ghahramani

Random forests on the one hand, and neural networks on the other hand, have met great success in the machine learning community for their predictive performance. Combinations of both have been proposed in the literature, notably leading to…

Machine Learning · Computer Science 2021-10-15 Ludovic Arnould , Claire Boyer , Erwan Scornet , Sorbonne Lpsm

This work illustrates potentials for recognition within {\em ad hoc} sensor networks if their nodes possess individual inter-related biologically inspired genetic codes. The work takes ideas from natural immune systems protecting organisms…

Cryptography and Security · Computer Science 2009-12-31 Reinert Korsnes , Knut Ovsthus

Species trees represent the historical divergences of populations or species, while gene trees trace the ancestry of individual gene copies sampled within those populations. In cases involving rapid speciation, gene trees with topologies…

Populations and Evolution · Quantitative Biology 2015-08-28 James H. Degnan , John A. Rhodes

The set of all permutations with $n$ symbols is a symmetric group denoted by $S_n$. A transposition tree, $T$, is a spanning tree over its $n$ vertices $V_T=${$1, 2, 3, \ldots n$} where the vertices are the positions of a permutation $\pi$…

Data Structures and Algorithms · Computer Science 2018-11-20 Bhadrachalam Chitturi , Indulekha T S

Given natural limitations on the length DNA sequences, designing phylogenetic reconstruction methods which are reliable under limited information is a crucial endeavor. There have been two approaches to this problem: reconstructing partial…

Data Structures and Algorithms · Computer Science 2008-12-10 Radu Mihaescu , Cameron Hill , Satish Rao

In the context of reconstructing phylogenetic networks from a collection of phylogenetic trees, several characterisations and subsequently algorithms have been established to reconstruct a phylogenetic network that collectively embeds all…

Combinatorics · Mathematics 2023-08-21 Janosch Döcker , Simone Linz , Charles Semple

Phylogenetic (evolutionary) trees and networks are leaf-labeled graphs that are widely used to represent the evolutionary relationships between entities such as species, languages, cancer cells, and viruses. To reconstruct and analyze…

Data Structures and Algorithms · Computer Science 2023-08-21 Michael J. Dinneen , Pankaj S. Ghodla , Simone Linz

One of the outstanding challenges in comparative genomics is to interpret the evolutionary importance of regulatory variation between species. Rigorous molecular evolution-based methods to infer evidence for natural selection from…

Populations and Evolution · Quantitative Biology 2013-10-16 Joshua G. Schraiber , Yulia Mostovoy , Tiffany Y. Hsu , Rachel B. Brem

Selective inference is considered for testing trees and edges in phylogenetic tree selection from molecular sequences. This improves the previously proposed approximately unbiased test by adjusting the selection bias when testing many trees…

Applications · Statistics 2019-05-27 Hidetoshi Shimodaira , Yoshikazu Terada

We introduce a model for the evolution of species triggered by generation of novel features and exhaustive combination with other available traits. Under the assumption that innovations are rare, we obtain a bursty branching process of…

Populations and Evolution · Quantitative Biology 2014-01-29 Stephanie Keller-Schmidt , Konstantin Klemm

Summary: GeneSupport implements a genome-scale algorithm: Maximum Gene-Support Tree to estimate species tree from gene trees based on multilocus sequences. It provides a new option for multiple genes to infer species tree. It is…

Genomics · Quantitative Biology 2009-10-13 Yunfeng Shan , Xiu-Qing Li

Phylogenetic networks are a generalization of phylogenetic trees that are used in biology to represent reticulate or non-treelike evolution. Recently, several algorithms have been developed which aim to construct phylogenetic networks from…

Populations and Evolution · Quantitative Biology 2011-10-05 K. T. Huber , V. Moulton

A rooted phylogenetic network is a directed acyclic graph with a single root, whose sinks correspond to a set of species. As such networks are useful for representing the evolution of species that have undergone reticulate evolution, there…

Populations and Evolution · Quantitative Biology 2022-06-28 Vincent Moulton , Taoyang Wu

Phylogenetic networks are rooted, labelled directed acyclic graphs which are commonly used to represent reticulate evolution. There is a close relationship between phylogenetic networks and multi-labelled trees (MUL-trees). Indeed, any…

Populations and Evolution · Quantitative Biology 2015-06-16 Katharina T. Huber , Vincent Moulton , Mike Steel , Taoyang Wu

Phylogenetic trees and networks are leaf-labelled graphs that are used to describe evolutionary histories of species. The Tree Containment problem asks whether a given phylogenetic tree is embedded in a given phylogenetic network. Given a…

Populations and Evolution · Quantitative Biology 2010-06-17 Leo van Iersel , Charles Semple , Mike Steel

This study introduces a novel theoretical framework, the Stacked Autoencoder Evolution Hypothesis, which proposes that biological evolutionary systems operate through multi-layered self-encoding and decoding processes, analogous to stacked…

Neural and Evolutionary Computing · Computer Science 2026-02-03 Hiroyuki Iizuka