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Gene regulatory networks (GRNs) orchestrate cellular decision making and survival strategies. Inferring the structure of these networks from high-dimensional transcriptomics data is a central challenge in systems biology. Traditional…

Applications · Statistics 2025-08-01 Visweswaran Ravikumar , Aaresh Bhathena , Wajd N Al-Holou , Salar Fattahi , Arvind Rao

Single-cell sequencing has a significant role to explore biological processes such as embryonic development, cancer evolution, and cell differentiation. These biological properties can be presented by a two-dimensional scatter plot.…

Genomics · Quantitative Biology 2021-10-19 Ziyi Liu , Minghui Liao , Fulin luo , Bo Du

Causal discovery aims to infer causal relationships among variables from observational data, typically represented by a directed acyclic graph (DAG). Most existing methods assume independent and identically distributed observations, an…

Methodology · Statistics 2026-03-27 Alex Chen , Qing Zhou

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

High-dimensional networks play a key role in understanding complex relationships. These relationships are often dynamic in nature and can change with multiple external factors (e.g., time and groups). Methods for estimating graphical models…

Methodology · Statistics 2024-07-30 Louis Dijkstra , Arne Godt , Ronja Foraita

Over the last decade, a large variety of clustering algorithms have been developed to detect coregulatory relationships among genes from microarray gene expression data. Model based clustering approaches have emerged as statistically well…

Quantitative Methods · Quantitative Biology 2008-01-15 Anagha Joshi , Yves Van de Peer , Tom Michoel

Single-cell gene expression data are often characterized by large matrices, where the number of cells may be lower than the number of genes of interest. Factorization models have emerged as powerful tools to condense the available…

Methodology · Statistics 2023-05-22 Antonio Canale , Luisa Galtarossa , Davide Risso , Lorenzo Schiavon , Giovanni Toto

Clustering multivariate data is a pervasive task in many applied problems, particularly in social studies and life science. Model-based approaches to clustering rely on mixture models, where each mixture component corresponds to the kernel…

Methodology · Statistics 2026-01-22 Laura Ferrini , Federico Castelletti

The rapid development of high-throughput technologies has enabled the generation of data from biological or disease processes that span multiple layers, like genomic, proteomic or metabolomic data, and further pertain to multiple sources,…

Machine Learning · Statistics 2022-01-25 Subhabrata Majumdar , George Michailidis

Sparse inverse covariance estimation (i.e., edge de-tection) is an important research problem in recent years, wherethe goal is to discover the direct connections between a set ofnodes in a networked system based upon the observed…

Machine Learning · Computer Science 2021-01-15 Hang Yin , Xinyue Liu , Xiangnan Kong

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

Cataloging the neuronal cell types that comprise circuitry of individual brain regions is a major goal of modern neuroscience and the BRAIN initiative. Single-cell RNA sequencing can now be used to measure the gene expression profiles of…

Analysis of single-cell RNA sequencing data is often conducted through network projections such as coexpression networks, primarily due to the abundant availability of network analysis tools for downstream tasks. However, this approach has…

Quantitative Methods · Quantitative Biology 2025-12-24 Wan He , Daniel I. Bolnick , Samuel V. Scarpino , Tina Eliassi-Rad

In the last years, tens of thousands gene expression profiles for cells of several organisms have been monitored. Gene expression is a complex transcriptional process where mRNA molecules are translated into proteins, which control most of…

Biomolecules · Quantitative Biology 2009-11-11 T. Ochiai , J. C. Nacher , T. Akutsu

The solution of high-dimensional inference and prediction problems in computational biology is almost always a compromise between mathematical theory and practical constraints such as limited computational resources. As time progresses,…

Quantitative Methods · Quantitative Biology 2009-01-13 Anagha Joshi , Riet De Smet , Kathleen Marchal , Yves Van de Peer , Tom Michoel

We present computer-assisted methods for analyzing stochastic models of gene regulatory networks. The main idea that underlies this equation-free analysis is the design and execution of appropriately-initialized short bursts of stochastic…

Biological Physics · Physics 2009-11-11 Radek Erban , Ioannis G. Kevrekidis , David Adalsteinsson , Timothy C. Elston

We introduce a novel class of graphical models, termed profile graphical models, that represent, within a single graph, how an external factor influences the dependence structure of a multivariate set of variables. This class is quite…

Methodology · Statistics 2026-03-31 Alejandra Avalos-Pacheco , Monia Lupparelli , Francesco C. Stingo

In a multicellular organism different cell types express a gene in different amounts. Samples from which gene expression levels can be measured typically contain a mixture of different cell types, the resulting measurements thus give only…

Quantitative Methods · Quantitative Biology 2017-08-09 Nico Riedel , Johannes Berg

Cell populations are never truly homogeneous; individual cells exist in biochemical states that define functional differences between them. New technology based on microfluidic arrays combined with multiplexed quantitative polymerase chain…

Graphical models describe associations between variables through the notion of conditional independence. Gaussian graphical models are a widely used class of such models where the relationships are formalized by non-null entries of the…

Methodology · Statistics 2023-08-08 Sagnik Bhadury , Riten Mitra , Jeremy T. Gaskins
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