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The rich and varied ways that genetic material can be passed between species has motivated extensive research into the theory of phylogenetic networks. Features that align with biological processes, or with desirable mathematical…

种群与进化 · 定量生物学 2025-08-12 Andrew Francis

The aim of this review is to present and analyze the probabilistic models of mathematical phylogenetics which have been intensively used in recent years in biology as the cornerstone of attempts to infer and reconstruct the ancestral…

种群与进化 · 定量生物学 2020-01-08 Peter D Jarvis , Jeremy G Sumner

Phylogenetic networks extend phylogenetic trees to allow for modeling reticulate evolutionary processes such as hybridization. They take the shape of a rooted, directed, acyclic graph, and when parameterized with evolutionary parameters,…

种群与进化 · 定量生物学 2018-08-28 R. A. L. Elworth , H. A. Ogilvie , J. Zhu , L. Nakhleh

Despite widespread interest and practical use, the theoretical properties of random forests are still not well understood. In this paper we contribute to this understanding in two ways. We present a new theoretically tractable variant of…

机器学习 · 统计学 2013-10-08 Misha Denil , David Matheson , Nando de Freitas

Phylogenetic networks are becoming increasingly popular in phylogenetics since they have the ability to describe a wider range of evolutionary events than their tree counterparts. In this paper, we study Markov models on phylogenetic…

种群与进化 · 定量生物学 2017-06-12 Elizabeth Gross , Colby Long

The evolutionary relationships among organisms have traditionally been represented using rooted phylogenetic trees. However, due to reticulate processes such as hybridization or lateral gene transfer, evolution cannot always be adequately…

种群与进化 · 定量生物学 2022-01-20 Sungsik Kong , Joan Carles Pons , Laura Kubatko , Kristina Wicke

Tree-child networks are a recently-described class of directed acyclic graphs that have risen to prominence in phylogenetics (the study of evolutionary trees and networks). Although these networks have a number of attractive mathematical…

概率论 · 数学 2023-01-10 François Bienvenu , Amaury Lambert , Mike Steel

The evolution of molecular and phenotypic traits is commonly modelled using Markov processes along a phylogeny. This phylogeny can be a tree, or a network if it includes reticulations, representing events such as hybridization or admixture.…

种群与进化 · 定量生物学 2024-08-28 Benjamin Teo , Paul Bastide , Cécile Ané

Phylogenetic trees are simple models of evolutionary processes. They describe conditionally independent divergent evolution of taxa from common ancestors. Phylogenetic trees commonly do not have enough flexibility to adequately model all…

种群与进化 · 定量生物学 2025-11-11 Jonathan D. Mitchell , Barbara R. Holland

Phylogenomics is a new field which applies to tools in phylogenetics to genome data. Due to a new technology and increasing amount of data, we face new challenges to analyze them over a space of phylogenetic trees. Because a space of…

组合数学 · 数学 2020-05-15 Ruriko Yoshida

We present a comprehensive survey of the advancements and techniques in the field of tractable probabilistic generative modeling, primarily focusing on Probabilistic Circuits (PCs). We provide a unified perspective on the inherent…

机器学习 · 计算机科学 2024-06-07 Sahil Sidheekh , Sriraam Natarajan

Phylogenetic networks are becoming of increasing interest to evolutionary biologists due to their ability to capture complex non-treelike evolutionary processes. From a combinatorial point of view, such networks are certain types of rooted…

组合数学 · 数学 2019-10-21 Katharina T. Huber , Guillaume E. Scholz

Casting neural networks in generative frameworks is a highly sought-after endeavor these days. Contemporary methods, such as Generative Adversarial Networks, capture some of the generative capabilities, but not all. In particular, they lack…

机器学习 · 计算机科学 2018-03-28 Or Sharir , Ronen Tamari , Nadav Cohen , Amnon Shashua

In mathematical phylogenetics, evolutionary relationships are often represented by trees and networks. The latter are typically used whenever the relationships cannot be adequately described by a tree, which happens when so-called…

种群与进化 · 定量生物学 2025-12-05 Mirko Wilde , Mareike Fischer

Phylogenetic networks represent evolutionary history of species and can record natural reticulate evolutionary processes such as horizontal gene transfer and gene recombination. This makes phylogenetic networks a more comprehensive…

种群与进化 · 定量生物学 2021-06-15 Remie Janssen , Pengyu Liu

We review the theory of neural networks, as it has emerged in the last ten years or so within the physics community, emphasizing questions of biological relevance over those of importance in mathematical statistics and machine learning…

无序系统与神经网络 · 物理学 2008-02-03 Heinz Horner , Reimer Kuehn

The concept of a temporal phylogenetic network is a mathematical model of evolution of a family of natural languages. It takes into account the fact that languages can trade their characteristics with each other when linguistic communities…

计算机科学中的逻辑 · 计算机科学 2007-05-23 Esra Erdem , Vladimir Lifschitz , Don Ringe

Phylogenetic networks are an extension of phylogenetic trees which are used to represent evolutionary histories in which reticulation events (such as recombination and hybridization) have occurred. A central question for such networks is…

种群与进化 · 定量生物学 2018-03-28 Andrew Francis , Vincent Moulton

Phylogenetic networks generalise phylogenetic trees and allow for the accurate representation of the evolutionary history of a set of present-day species whose past includes reticulate events such as hybridisation and lateral gene transfer.…

种群与进化 · 定量生物学 2018-09-05 Joan Carles Pons , Charles Semple , Mike Steel

In recent years, with the advent of highly scalable artificial-neural-network-based text representation methods the field of natural language processing has seen unprecedented growth and sophistication. It has become possible to distill…

计算与语言 · 计算机科学 2022-11-29 Philipp Siebers , Christian Janiesch , Patrick Zschech
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