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Regression models are used in a wide range of applications providing a powerful scientific tool for researchers from different fields. Linear, or simple parametric, models are often not sufficient to describe complex relationships between…

Machine Learning · Statistics 2021-11-24 Aliaksandr Hubin , Geir Storvik , Florian Frommlet

Joint Bayesian factor models are popular for characterizing relationships between multivariate correlated predictors and a response variable. Standard models assume that all variables, including both the predictors and the response, are…

Methodology · Statistics 2025-05-19 Glenn Palmer , David B. Dunson

An important problem in bioinformatics is the inference of gene regulatory networks (GRN) from temporal expression profiles. In general, the main limitations faced by GRN inference methods is the small number of samples with huge…

Computer Vision and Pattern Recognition · Computer Science 2011-07-26 Fabrício Martins Lopes , David C. Martins-Jr , Junior Barrera , Roberto M. Cesar-Jr

Rapid developments in genetics and biology have led to phylogenetic methods becoming an important direction in the study of cancer and viral evolution. Although our understanding of gene biology and biochemistry has increased and is…

Algebraic Geometry · Mathematics 2020-06-09 Yingying Wu , Shing-Tung Yau

The Bayesian approach to feature extraction, known as factor analysis (FA), has been widely studied in machine learning to obtain a latent representation of the data. An adequate selection of the probabilities and priors of these bayesian…

Machine Learning · Statistics 2020-01-27 Carlos Sevilla-Salcedo , Vanessa Gómez-Verdejo , Pablo M. Olmos

In many transcriptomic studies, the correlation of genes might fluctuate with quantitative factors such as genetic ancestry. We propose a method that models the covariance between two variables to vary against a continuous covariate. For…

Methodology · Statistics 2021-05-03 Tae Hyun Kim , Dan Nicolae

Factor analysis (FA) and principal component analysis (PCA) are popular statistical methods for summarizing and explaining the variability in multivariate datasets. By default, FA and PCA assume the number of components or factors to be…

Methodology · Statistics 2022-05-17 Chetkar Jha , Ian Barnett

In modern scientific studies, it is often imperative to determine whether a set of phenotypes is affected by a single factor. If such an influence is identified, it becomes essential to discern whether this effect is contingent upon…

Methodology · Statistics 2024-03-22 Srijan Chattopadhyay , Swapnaneel Bhattacharyya , Sevantee Basu

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

We introduce a data-driven dynamic factor framework for modeling the joint evolution of high-dimensional covariates and responses without parametric assumptions. Standard factor models applied to covariates alone often lose explanatory…

Machine Learning · Statistics 2026-01-16 Graeme Baker , Agostino Capponi , J. Antonio Sidaoui

Model-based reinforcement learning methods often use learning only for the purpose of estimating an approximate dynamics model, offloading the rest of the decision-making work to classical trajectory optimizers. While conceptually simple,…

Machine Learning · Computer Science 2022-12-22 Michael Janner , Yilun Du , Joshua B. Tenenbaum , Sergey Levine

This study presents the approach to analyzing the evolution of an arbitrary complex system whose behavior is characterized by a set of different time-dependent factors. The key requirement for these factors is only that they must contain an…

Data Analysis, Statistics and Probability · Physics 2020-12-01 Anatolii V. Mokshin , Vladimir V. Mokshin , Diana A. Mirziyarova

Phylogenetics is the study of the evolutionary relationships between organisms. One of the main challenges in the field is to take biological data for a group of organisms and to infer an evolutionary tree, a graph that represents these…

Populations and Evolution · Quantitative Biology 2019-06-05 Elizabeth Gross , Colby Long , Joseph Rusinko

Phylogenetic comparative methods may fail to produce meaningful results when either the underlying model is inappropriate or the data contain insufficient information to inform the inference. The ability to measure the statistical power of…

Quantitative Methods · Quantitative Biology 2012-07-26 Carl Boettiger , Graham Coop , Peter Ralph

In population genetics, extant samples are usually used for inference of past population genetic forces. With the Kingman coalescent and the backward diffusion equation, inference of the marginal likelihood proceeds from an extant sample…

Populations and Evolution · Quantitative Biology 2020-04-03 Claus Vogl , Sandra Peer

Correlations between two variables of a high-dimensional system can be indicative of an underlying interaction, but can also result from indirect effects. Inverse Ising inference is a method to distinguish one from the other. Essentially,…

Populations and Evolution · Quantitative Biology 2014-12-10 Benedikt Obermayer , Erel Levine

Predicting spatial gene expression from routine H\&E enables large-scale molecular profiling, yet current models treat this as isolated pointwise tasks, thereby overlooking essential biological structures like gene coordination and spatial…

Machine Learning · Computer Science 2026-05-19 Qi Si , Penglei Wang , Yushuai Wu , Yifeng Jiao , Xuyang Liu , Xin Guo , Yuan Qi , Yuan Cheng

The evolution of molecular and phenotypic traits is commonly modelled using Markov processes along a phylogeny. This phylogeny can be a tree, or a network if it includes reticulations, representing events such as hybridization or admixture.…

Populations and Evolution · Quantitative Biology 2024-08-28 Benjamin Teo , Paul Bastide , Cécile Ané

The fairness characteristic is a critical attribute of trusted AI systems. A plethora of research has proposed diverse methods for individual fairness testing. However, they are suffering from three major limitations, i.e., low efficiency,…

Neural and Evolutionary Computing · Computer Science 2022-05-18 Ming Fan , Wenying Wei , Wuxia Jin , Zijiang Yang , Ting Liu

Mixed-effects models are among the most commonly used statistical methods for the exploration of multispecies data. In recent years, also Joint Species Distribution Models and Generalized Linear Latent Variale Models have gained in…

Computation · Statistics 2025-01-31 Bert van der Veen , Robert Brian O'Hara