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In this article, we study the problem of parameter estimation for a discrete Ornstein - Uhlenbeck model driven by Poisson fractional noise. Based on random walk approximation for the noise, we study least squares and maximum likelihood…

Statistics Theory · Mathematics 2017-12-15 Héctor Araya , Natalia Bahamonde , Tania Roa , Soledad Torres

A macroscopic theory for describing cellular states during steady-growth is presented, which is based on the consistency between cellular growth and molecular replication, as well as the robustness of phenotypes against perturbations.…

Populations and Evolution · Quantitative Biology 2021-02-08 Kunihiko Kaneko , Chikara Furusawa

Phenomics is an emerging branch of modern biology that uses high throughput phenotyping tools to capture multiple environmental and phenotypic traits, often at massive spatial and temporal scales. The resulting high dimensional data…

Quantitative Methods · Quantitative Biology 2019-06-06 Methun Kamruzzaman , Ananth Kalyanaraman , Bala Krishnamoorthy , Stefan Hey , Patrick Schnable

Recently there has been renewed interest in phylogenetic inference methods based on phylogenetic invariants, alongside the related Markov invariants. Broadly speaking, both these approaches give rise to polynomial functions of sequence site…

Quantitative Methods · Quantitative Biology 2017-03-31 Jeremy G Sumner , Amelia Taylor , Barbara R Holland , Peter D Jarvis

The selection of the most suitable evolutionary model to analyze the given molecular data is usually left to biologist's choice. In his famous book, J Felsenstein suggested that certain linear equations satisfied by the expected…

Populations and Evolution · Quantitative Biology 2012-11-20 Marta Casanellas , Jesus Fernandez-Sanchez , Anna Kedzierska

Molecular phenotypes link genomic information with organismic functions, fitness, and evolution. Quantitative traits are complex phenotypes that depend on multiple genomic loci. In this paper, we study the adaptive evolution of a…

Populations and Evolution · Quantitative Biology 2015-06-19 Torsten Held , Armita Nourmohammad , Michael Lässig

Structural information of phylogenetic tree topologies plays an important role in phylogenetic inference. However, finding appropriate topological structures for specific phylogenetic inference tasks often requires significant design effort…

Machine Learning · Statistics 2023-02-20 Cheng Zhang

For consistency (even oracle properties) of estimation and model prediction, almost all existing methods of variable/feature selection critically depend on sparsity of models. However, for ``large $p$ and small $n$" models sparsity…

Methodology · Statistics 2010-08-10 Lu Lin , Lixing Zhu , Yujie Gai

Studying phenotype-gene association can uncover mechanism of diseases and develop efficient treatments. In complex disease where multiple phenotypes are available and correlated, analyzing and interpreting associated genes for each…

Methodology · Statistics 2021-12-14 Yujia Li , Yusi Fang , Peng Liu , George C. Tseng

As whole genomes become widely available, maximum likelihood and Bayesian phylogenetic methods are demonstrating their limits in meeting the escalating computational demands. Conversely, distance-based phylogenetic methods are efficient,…

Populations and Evolution · Quantitative Biology 2025-02-07 Matthew J. Penn , Neil Scheidwasser , Mark P. Khurana , Christl A. Donnelly , David A. Duchêne , Samir Bhatt

Gene expression levels are important molecular quantitative traits that link genotypes to molecular functions and fitness. In Drosophila, population-genetic studies in recent years have revealed substantial adaptive evolution at the genomic…

Populations and Evolution · Quantitative Biology 2015-04-06 Armita Nourmohammad , Joachim Rambeau , Torsten Held , Johannes Berg , Michael Lassig

We are interested in modeling the Darwinian evolution resulting from the interplay of phenotypic variation and natural selection through ecological interactions, in the specific scales of the biological framework of adaptive dynamics.…

Probability · Mathematics 2013-02-05 Nicolas Champagnat , Pierre-Emmanuel Jabin , Sylvie Méléard

In data analysis, latent variables play a central role because they help provide powerful insights into a wide variety of phenomena, ranging from biological to human sciences. The latent tree model, a particular type of probabilistic…

Machine Learning · Computer Science 2014-02-05 Raphaël Mourad , Christine Sinoquet , Nevin L. Zhang , Tengfei Liu , Philippe Leray

The ability to identify reliably a positive or negative partial correlation between the expression levels of two genes is influenced by the number $p$ of genes, the number $n$ of analyzed samples, and the statistical properties of the…

Statistics Theory · Mathematics 2013-09-24 Maya Shevlyakova , Stephan Morgenthaler

This manuscript delves into the intersection of genomics and phenotypic prediction, focusing on the statistical innovation required to navigate the complexities introduced by noisy covariates and confounders. The primary emphasis is on the…

Methodology · Statistics 2024-11-15 Upama Paul Chowdhury , Ronit Bhattacharjee , Susmita Das , Abhik Ghosh

Evolutionary success depends on the capacity to adapt: organisms must respond to environmental challenges through both genetic innovation and lifetime learning. The gene-centric paradigm attributes evolutionary causality exclusively to…

Neural and Evolutionary Computing · Computer Science 2026-02-03 Nam H. Le

Datasets encountered when examining deeper issues in ecology and evolution are often complex. This calls for careful strategies for both model building, model selection, and model averaging. Our paper aims at motivating, exhibiting, and…

Applications · Statistics 2026-03-19 Gerda Claeskens , Céline Cunen , Nils Lid Hjort

In NeuroEvolution, the topologies of artificial neural networks are optimized with evolutionary algorithms to solve tasks in data regression, data classification, or reinforcement learning. One downside of NeuroEvolution is the large amount…

Neural and Evolutionary Computing · Computer Science 2019-02-12 Jörg Stork , Martin Zaefferer , Thomas Bartz-Beielstein

Plant breeding programs use data obtained from multi-environment selection experiments to produce improved varieties with the ultimate aim of maintaining high levels of genetic gain. Selection accuracy can be improved with the use of…

Methodology · Statistics 2026-05-13 Brian R Cullis , Alison B Smith , David GD Hughes , David Butler

In this paper, the issue of adapting probabilities for Evolutionary Algorithm (EA) search operators is revisited. A framework is devised for distinguishing between measurements of performance and the interpretation of those measurements for…

Neural and Evolutionary Computing · Computer Science 2009-07-06 James M. Whitacre , Tuan Q. Pham , Ruhul A. Sarker