Markov Chains on Phylogenetic Tree Spaces

系统发育树空间上的马尔可夫链

• 批准号: 2902855
• 金额: --
• 依托单位: Imperial College London
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2021
• 资助国家: 英国
• 起止时间: 2021 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2902855
• 关键词: Markov; Chains; Phylogenetic; Tree; Spaces

Phylogenetic trees are the fundamental mathematical representation ofevolutionary processes in biology. They are characterized by thechallenges associated with "big data," as well as the complication thattheir discrete geometric structure results in a non-Euclidean tree space,posing significant computational and statistical limitations. A theoreticalresult from pure mathematics establishes an algebraic geometric treespace, which has recently been shown to support rigorous statistical andprobabilistic studies. This project will practically implement such studiesby harnessing the structural and combinatorial properties of the algebraicgeometric tree space to characterize its information geometry and adaptMarkov chains for statistical inference.

系统发生树是生物进化过程的基本数学表示。它们的特点是与“大数据”相关的挑战，以及它们的离散几何结构导致非欧几里德树空间的复杂性，造成了显着的计算和统计限制。纯数学的一个理论结果建立了一个代数几何树空间，它最近被证明支持严格的统计和概率研究。本计画将利用代数几何树空间的结构与组合特性来描述其资讯几何与调适马尔可夫链的统计推论，以实际执行此等研究。