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Rate variation among the sites of a molecular sequence is commonly found in applications of phylogenetic inference. Several approaches exist to account for this feature but they do not usually enable the investigator to pinpoint the sites…

Quantitative Methods · Quantitative Biology 2013-05-23 Elisa Loza-Reyes , Merrilee Hurn , Tony Robinson

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

A mathematical model is identifiable if its parameters can be recovered from data. Here, we focus on a particular class of model, linear compartmental models, which are used to represent the transfer of substances in a system. We analyze…

Dynamical Systems · Mathematics 2021-06-22 Patrick Chan , Katherine Johnston , Anne Shiu , Aleksandra Sobieska , Clare Spinner

Networks having the geometry and the connectivity of trees are considered as the spatial support of spatiotemporal dynamical processes. A tree is characterized by two parameters: its ramification and its depth. The local dynamics at the…

Pattern Formation and Solitons · Physics 2009-11-07 M. G. Cosenza , K. Tucci

Phylogenetics is a branch of computational biology that studies the evolutionary relationships among biological entities. Its long history and numerous applications notwithstanding, inference of phylogenetic trees from sequence data remains…

Populations and Evolution · Quantitative Biology 2024-03-26 Mingyang Zhou , Zichao Yan , Elliot Layne , Nikolay Malkin , Dinghuai Zhang , Moksh Jain , Mathieu Blanchette , Yoshua Bengio

A wide range of applications and research has been done with genome-scale metabolic models. In this work we describe a methodology for comparing metabolic networks constructed from genome-scale metabolic models and how to apply this…

Molecular Networks · Quantitative Biology 2026-02-06 D. Gamermann , A. Montagud , J. A. Conejero , P. F. de Córdoba , J. F. Urchieguía

A central problem in biology is to understand how organisms evolve and adapt to their environment by acquiring variations in the observable characteristics or traits of species across the tree of life. With the growing availability of…

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…

Populations and Evolution · Quantitative Biology 2017-06-12 Elizabeth Gross , Colby Long

When employing mechanistic models to study biological phenomena, practical parameter identifiability is important for making accurate predictions across wide range of unseen scenarios, as well as for understanding the underlying mechanisms.…

Quantitative Methods · Quantitative Biology 2023-10-19 Yue Liu , Kevin Suh , Philip K. Maini , Daniel J. Cohen , Ruth E. Baker

Learning the unknown causal parameters of a linear structural causal model is a fundamental task in causal analysis. The task, known as the problem of identification, asks to estimate the parameters of the model from a combination of…

Artificial Intelligence · Computer Science 2024-07-18 Julian Dörfler , Benito van der Zander , Markus Bläser , Maciej Liskiewicz

Coalescent models of evolution account for incomplete lineage sorting by specifying a species tree parameter which determines a distribution on gene trees. It has been shown that the unrooted topology of the species tree parameter of the…

Populations and Evolution · Quantitative Biology 2017-01-25 Colby Long , Laura Kubatko

The varying-coefficient model is a strong tool for the modelling of interactions in generalized regression. It is easy to apply if both the variables that are modified as well as the effect modifiers are known. However, in general one has a…

Methodology · Statistics 2017-05-25 Moritz Berger , Gerhard Tutz , Matthias Schmid

Computational and mathematical models rely heavily on estimated parameter values for model development. Identifiability analysis determines how well the parameters of a model can be estimated from experimental data. Identifiability analysis…

Quantitative Methods · Quantitative Biology 2021-02-12 Marissa Renardy , Denise Kirschner , Marisa Eisenberg

Decision trees are widely used for interpretable machine learning due to their clearly structured reasoning process. However, this structure belies a challenge we refer to as predictive equivalence: a given tree's decision boundary can be…

Machine Learning · Computer Science 2025-10-15 Hayden McTavish , Zachery Boner , Jon Donnelly , Margo Seltzer , Cynthia Rudin

Plant phenotyping (Guo et al. 2021; Pieruschka et al. 2019) focuses on studying the diverse traits of plants related to the plants' growth. To be more specific, by accurately measuring the plant's anatomical, ontogenetical, physiological…

Machine Learning · Computer Science 2022-01-17 Jun Wu , Elizabeth A. Ainsworth , Sheng Wang , Kaiyu Guan , Jingrui He

Phylogenetic reconstruction aims at finding plausible hypotheses of the evolutionary history of genes or species based on genomic sequence information. The distinction of orthologous genes (genes that having a common ancestry and diverged…

Populations and Evolution · Quantitative Biology 2016-02-29 Marc Hellmuth , Nicolas Wieseke

Social networks exhibit strikingly systematic patterns across a wide range of human contexts. While genetic variation accounts for a significant portion of the variation in many complex social behaviors, the heritability of egocentric…

Genomics · Quantitative Biology 2009-02-11 James H. Fowler , Christopher T. Dawes , Nicholas A. Christakis

Phylogenomics heavily relies on well-curated sequence data sets that consist, for each gene, exclusively of 1:1-orthologous. Paralogs are treated as a dangerous nuisance that has to be detected and removed. We show here that this severe…

Discrete Mathematics · Computer Science 2017-12-19 Marc Hellmuth , Nicolas Wieseke , Marcus Lechner , Hans-Peter Lenhof , Martin Middendorf , Peter F. Stadler

Discovering evolutionary traits that are heritable across species on the tree of life (also referred to as a phylogenetic tree) is of great interest to biologists to understand how organisms diversify and evolve. However, the measurement of…

It is becoming increasingly important to explain complex, black-box machine learning models. Although there is an expanding literature on this topic, Shapley values stand out as a sound method to explain predictions from any type of machine…

Machine Learning · Statistics 2020-07-03 Annabelle Redelmeier , Martin Jullum , Kjersti Aas
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