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We present an efficient phylogenetic reconstruction algorithm allowing insertions and deletions which provably achieves a sequence-length requirement (or sample complexity) growing polynomially in the number of taxa. Our algorithm is…

概率论 · 数学 2013-02-25 Constantinos Daskalakis , Sebastien Roch

Phylogenetic networks generalize phylogenetic trees by allowing the modelization of events of reticulate evolution. Among the different kinds of phylogenetic networks that have been proposed in the literature, the subclass of binary…

数据结构与算法 · 计算机科学 2020-07-01 Gabriel Cardona , Joan Carles Pons , Celine Scornavacca

We introduce a new phylogenetic reconstruction algorithm which, unlike most previous rigorous inference techniques, does not rely on assumptions regarding the branch lengths or the depth of the tree. The algorithm returns a forest which is…

种群与进化 · 定量生物学 2011-09-30 Constantinos Daskalakis , Elchanan Mossel , Sebastien Roch

Likelihood-free inference (LFI) methods, such as approximate Bayesian computation, have become commonplace for conducting inference in complex models. Many approaches are based on summary statistics or discrepancies derived from synthetic…

统计方法学 · 统计学 2025-06-06 David T. Frazier , Christopher Drovandi , Lucas Kock , David J. Nott

Likelihood-free methods are useful for parameter estimation of complex models with intractable likelihood functions for which it is easy to simulate data. Such models are prevalent in many disciplines including genetics, biology, ecology…

统计方法学 · 统计学 2022-03-29 Christopher Drovandi , David T Frazier

The hierarchical and recursive expressive capability of rooted trees is applicable to represent statistical models in various areas, such as data compression, image processing, and machine learning. On the other hand, such hierarchical…

机器学习 · 计算机科学 2022-01-25 Yuta Nakahara , Shota Saito , Akira Kamatsuka , Toshiyasu Matsushima

Bayesian phylogenetic inference is currently done via Markov chain Monte Carlo (MCMC) with simple proposal mechanisms. This hinders exploration efficiency and often requires long runs to deliver accurate posterior estimates. In this paper,…

机器学习 · 统计学 2024-05-24 Cheng Zhang , Frederick A. Matsen

Phylogenetic networks are a type of directed acyclic graph that represent how a set $X$ of present-day species are descended from a common ancestor by processes of speciation and reticulate evolution. In the absence of reticulate evolution,…

组合数学 · 数学 2017-08-11 Andrew Francis , Charles Semple , Mike Steel

Given i.i.d. data from an unknown distribution, we consider the problem of predicting future items. An adaptive way to estimate the probability density is to recursively subdivide the domain to an appropriate data-dependent granularity. A…

统计理论 · 数学 2007-06-13 Marcus Hutter

Phylogenetics uses alignments of molecular sequence data to learn about evolutionary trees. Substitutions in sequences are modelled through a continuous-time Markov process, characterised by an instantaneous rate matrix, which standard…

种群与进化 · 定量生物学 2020-07-20 Naomi E. Hannaford , Sarah E. Heaps , Tom M. W. Nye , Tom A. Williams , T. Martin Embley

Likelihood-based methods are widely considered the best approaches for reconstructing ancestral states. Although much effort has been made to study properties of these methods, previous works often assume that both the tree topology and…

统计方法学 · 统计学 2021-04-02 Lam Si Tung Ho , Edward Susko

In many statistical problems, the data distribution is specified through a generative process for which the likelihood function is analytically intractable, yet inference on the associated model parameters remains of primary interest. We…

统计方法学 · 统计学 2026-04-01 Haoyu Jiang , Yuexi Wang , Yun Yang

Phylogenetic trees describe the relationships between species in the evolutionary process, and provide information about the rates of diversification. To understand the mechanisms behind macroevolution, we consider a class of multitype…

种群与进化 · 定量生物学 2024-10-07 Mingqi He , Sophie Hautphenne , Yao-ban Chan

Likelihood-free inference provides a rigorous approach to preform Bayesian analysis using forward simulations only. The main advantage of likelihood-free methods is its ability to account for complex physical processes and observational…

宇宙学与河外天体物理 · 物理学 2022-02-09 Sut-Ieng Tam , Keiichi Umetsu , Adam Amara

We present a continuation method that entails generating a sequence of transition probability density functions from the prior to the posterior in the context of Bayesian inference for parameter estimation problems. The characterization of…

统计计算 · 统计学 2019-11-27 Ben Mansour Dia

Probabilistic graphical models that encode an underlying Markov random field are fundamental building blocks of generative modeling to learn latent representations in modern multivariate data sets with complex dependency structures. Among…

统计方法学 · 统计学 2025-04-03 Yujie Chen , Anindya Bhadra , Antik Chakraborty

Phylogenetic tree inference using deep DNA sequencing is reshaping our understanding of rapidly evolving systems, such as the within-host battle between viruses and the immune system. Densely sampled phylogenetic trees can contain special…

种群与进化 · 定量生物学 2020-06-03 Cheng Zhang , Vu Dinh , Frederick A. Matsen

Bayesian phylogenetics typically estimates a posterior distribution, or aspects thereof, using Markov chain Monte Carlo methods. These methods integrate over tree space by applying local rearrangements to move a tree through its space as a…

Recent years have seen a rapid expansion of the model space explored in statistical phylogenetics, emphasizing the need for new approaches to statistical model representation and software development. Clear communication and representation…

Likelihood-based phylogenetic inference is generally considered to be the most reliable classification method for unknown sequences. However, traditional likelihood-based phylogenetic methods cannot be applied to large volumes of short…

种群与进化 · 定量生物学 2010-04-01 Frederick A Matsen , Robin B Kodner , E Virginia Armbrust