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Unraveling the co-expression of genes across studies enhances the understanding of cellular processes. Inferring gene co-expression networks from transcriptome data presents many challenges, including spurious gene correlations, sample…

Machine Learning · Statistics 2024-10-01 Teodora Pandeva , Martijs Jonker , Leendert Hamoen , Joris Mooij , Patrick Forré

This paper is motivated by the comparison of genetic networks based on microarray samples. The aim is to test whether the differences observed between two inferred Gaussian graphical models come from real differences or arise from…

Statistics Theory · Mathematics 2014-06-20 Camille Charbonnier , Nicolas Verzelen , Fanny Villers

The asymptotic behavior of estimates and information criteria in linear models are studied in the context of hierarchically correlated sampling units. The work is motivated by biological data collected on species where autocorrelation is…

Applications · Statistics 2021-10-20 Cécile Ané

When analyzing microarray data, hierarchical models are often used to share information across genes when estimating means and variances or identifying differential expression. Many methods utilize some form of the two-level hierarchical…

Applications · Statistics 2012-10-01 Steven P. Lund , Dan Nettleton

Reconstruction of gene regulatory networks is the process of identifying gene dependency from gene expression profile through some computation techniques. In our human body, though all cells pose similar genetic material but the activation…

Inferring functional relationships within complex networks from static snapshots of a subset of variables is a ubiquitous problem in science. For example, a key challenge of systems biology is to translate cellular heterogeneity data…

Molecular Networks · Quantitative Biology 2024-08-09 Euan Joly-Smith , Zitong Jerry Wang , Andreas Hilfinger

Biclustering is a method for detecting homogeneous submatrices in a given observed matrix, and it is an effective tool for relational data analysis. Although there are many studies that estimate the underlying bicluster structure of a…

Methodology · Statistics 2021-07-16 Chihiro Watanabe , Taiji Suzuki

We argue that the selective inclusion of data points based on latent objectives is common in practical situations, such as music sequences. Since this selection process often distorts statistical analysis, previous work primarily views it…

Machine Learning · Computer Science 2024-07-02 Yujia Zheng , Zeyu Tang , Yiwen Qiu , Bernhard Schölkopf , Kun Zhang

Genome-wide association studies (GWAS) have identified thousands of genetic variants associated with complex traits, and some variants are shown to be associated with multiple complex traits. Genetic covariance between two traits is defined…

Methodology · Statistics 2023-10-06 Jianqiao Wang , Sai Li , Hongzhe Li

Data complexity analysis quantifies the hardness of constructing a predictive model on a given dataset. However, the effectiveness of existing data complexity measures can be challenged by the existence of irrelevant features and feature…

Computational Engineering, Finance, and Science · Computer Science 2023-08-15 Zhendong Sha , Li Zhu , Zijun Jiang , Yuanzhu Chen , Ting Hu

Differential co-expression analysis has been widely applied by scientists in understanding the biological mechanisms of diseases. However, the unknown differential patterns are often complicated; thus, models based on simplified parametric…

Methodology · Statistics 2022-01-13 Tianxi Li , Xiwei Tang , Ajay Chatrath

Motivation: Microarray data has been recently been shown to be efficacious in distinguishing closely related cell types that often appear in the diagnosis of cancer. It is useful to determine the minimum number of genes needed to do such a…

Biological Physics · Physics 2007-05-23 J. M. Deutsch

Cluster analysis has proved to be an invaluable tool for the exploratory and unsupervised analysis of high dimensional datasets. Among methods for clustering, hierarchical approaches have enjoyed substantial popularity in genomics and other…

Methodology · Statistics 2014-11-20 Patrick K. Kimes , Yufeng Liu , D. Neil Hayes , J. S. Marron

Networks have in recent years emerged as an invaluable tool for describing and quantifying complex systems in many branches of science. Recent studies suggest that networks often exhibit hierarchical organization, where vertices divide into…

Machine Learning · Statistics 2008-11-05 Aaron Clauset , Cristopher Moore , M. E. J. Newman

We consider multivariate two-sample tests of means, where the location shift between the two populations is expected to be related to a known graph structure. An important application of such tests is the detection of differentially…

Applications · Statistics 2012-07-02 Laurent Jacob , Pierre Neuvial , Sandrine Dudoit

Genetic interactions confer robustness on cells in response to genetic perturbations. This often occurs through molecular buffering mechanisms that can be predicted using, among other features, the degree of coexpression between genes,…

Quantitative Methods · Quantitative Biology 2017-03-14 Alberto Roverato , Robert Castelo

We propose a general, modular method for significance testing of groups (or clusters) of variables in a high-dimensional linear model. In presence of high correlations among the covariables, due to serious problems of identifiability, it is…

Statistics Theory · Mathematics 2015-02-12 Jacopo Mandozzi , Peter Bühlmann

Analysis of multivariate data sets from e.g. microarray studies frequently results in lists of genes which are associated with some response of interest. The biological interpretation is often complicated by the statistical instability of…

Applications · Statistics 2015-03-19 Charlotte Soneson , Magnus Fontes

A hypercomplex representation of DNA is proposed to facilitate comparison of DNA sequences with fuzzy composition. Using hypercomplex number representation, conventional sequence analysis method, such as, dot matrix analysis, dynamic…

Quantitative Methods · Quantitative Biology 2023-08-03 Jian-Jun Shu , Yajing Li

This paper describes a generalization of previous methods for constructing tree-structured belief network with hidden variables. The major new feature of the described method is the ability to produce a tree decomposition even when there…

Artificial Intelligence · Computer Science 2013-04-05 L. Liu , Y. Ma , D. Wilkins , Z. Bian , X. Ying