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Inferring concerted changes among biological traits along an evolutionary history remains an important yet challenging problem. Besides adjusting for spurious correlation induced from the shared history, the task also requires sufficient…

Phylogenetic comparative methods explore the relationships between quantitative traits adjusting for shared evolutionary history. This adjustment often occurs through a Brownian diffusion process along the branches of the phylogeny that…

Methodology · Statistics 2017-01-27 Max R. Tolkoff , Michael L. Alfaro , Guy Baele , Philippe Lemey , Marc A. Suchard

Phylogenetic comparative methods correct for shared evolutionary history among a set of non-independent organisms by modeling sample traits as arising from a diffusion process along on the branches of a possibly unknown history. To…

Applications · Statistics 2020-09-30 Paul Bastide , Lam Si Tung Ho , Guy Baele , Philippe Lemey , Marc A Suchard

Inferring dependencies between complex biological traits while accounting for evolutionary relationships between specimens is of great scientific interest yet remains infeasible when trait and specimen counts grow large. The…

Background: Continuous traits evolution of a group of taxa that are correlated through a phylogenetic tree is commonly modelled using parametric stochastic differential equations to represent deterministic change of trait through time,…

Populations and Evolution · Quantitative Biology 2026-04-03 Bayu Brahmantio , Krzysztof Bartoszek , Etka Yapar

The advances of next-generation sequencing technology have accelerated study of the microbiome and stimulated the high throughput profiling of metagenomes. The large volume of sequenced data has encouraged the rise of various studies for…

Methodology · Statistics 2019-04-30 Qiwei Li , Shuang Jiang , Andrew Y. Koh , Guanghua Xiao , Xiaowei Zhan

A simple way to model phenotypic evolution is to assume that after splitting, the trait values of the sister species diverge as independent Brownian motions. Relying only on a prior distribution for the underlying species tree (conditioned…

Populations and Evolution · Quantitative Biology 2013-05-14 Serik Sagitov , Krzysztof Bartoszek

We describe a new and computationally efficient Bayesian methodology for inferring species trees and demographics from unlinked binary markers. Likelihood calculations are carried out using diffusion models of allele frequency dynamics…

Populations and Evolution · Quantitative Biology 2019-09-18 Marnus Stoltz , Boris Bauemer , Remco Bouckaert , Colin Fox , Gordon Hiscott , David Bryant

Recent advances in diffusion models have demonstrated their strong capabilities in generating high-fidelity samples from complex distributions through an iterative refinement process. Despite the empirical success of diffusion models in…

Robotics · Computer Science 2024-07-03 Chaoyi Pan , Zeji Yi , Guanya Shi , Guannan Qu

Modelling the transmission dynamics of an infectious disease is a complex task. Not only it is difficult to accurately model the inherent non-stationarity and heterogeneity of transmission, but it is nearly impossible to describe,…

Computation · Statistics 2023-07-19 Sanmitra Ghosh , Paul J. Birrell , Daniela De Angelis

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…

Populations and Evolution · Quantitative Biology 2024-10-07 Mingqi He , Sophie Hautphenne , Yao-ban Chan

It has become increasingly common to collect high-dimensional binary response data; for example, with the emergence of new sampling techniques in ecology. In smaller dimensions, multivariate probit (MVP) models are routinely used for…

Methodology · Statistics 2022-10-26 Antik Chakraborty , Rihui Ou , David B. Dunson

Clinical end-point traits are often characterized by quantitative or qualitative precursors and it has been argued that it may be statistically a more powerful strategy to analyze these precursor traits to decipher the genetic architecture…

Methodology · Statistics 2025-04-17 Soumya Sahu , Saurabh Ghosh

The behavior of ecological systems mainly relies on the interactions between the species it involves. We consider the problem of inferring the species interaction network from abundance data. To be relevant, any network inference…

Applications · Statistics 2019-10-29 Raphaëlle Momal , Stéphane Robin , Christophe Ambroise

BACKGROUND: As databases grow larger, it becomes harder to fully control their collection, and they frequently come with missing values: incomplete observations. These large databases are well suited to train machine-learning models, for…

Machine Learning · Computer Science 2022-02-23 Alexandre Perez-Lebel , Gaël Varoquaux , Marine Le Morvan , Julie Josse , Jean-Baptiste Poline

Models with intractable normalizing functions arise frequently in statistics. Common examples of such models include exponential random graph models for social networks and Markov point processes for ecology and disease modeling. Inference…

Computation · Statistics 2018-08-03 Jaewoo Park , Murali Haran

This paper develops an inferential theory for high-dimensional matrix-variate factor models with missing observations. We propose an easy-to-use all-purpose method that involves two straightforward steps. First, we perform principal…

Methodology · Statistics 2025-03-26 Yongxia Zhang , Jinwen Liang , Liwen Xu , Keming Yu , Maozai Tian

Inferring microbial interaction networks from abundance patterns is an important approach to advance our understanding of microbial communities in general and the human microbiome in particular. Here we suggest discriminating two levels of…

Populations and Evolution · Quantitative Biology 2023-06-06 Isabella-Hilda Mendler , Barbara Drossel , Marc-Thorsten Hütt

Phylogenetic comparative methods are well established tools for using inter-species variation to analyse phenotypic evolution and adaptation. They are generally hampered, however, by predominantly univariate approaches and failure to…

Populations and Evolution · Quantitative Biology 2024-12-13 Krzysztof Bartoszek

The explosion of data throughout the biomedical sciences provides unprecedented opportunities to learn about the dynamics of evolution and disease progression, but harnessing these large and diverse datasets remains challenging. Here, we…

Quantitative Methods · Quantitative Biology 2019-12-03 Sam F. Greenbury , Mauricio Barahona , Iain G. Johnston
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