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The remarkable success of foundation models has sparked growing interest in their application to single-cell biology. Models like Geneformer and scGPT promise to serve as versatile tools in this specialized field. However, representing a…

Quantitative Methods · Quantitative Biology 2024-11-12 Jiabei Cheng , Jiachen Li , Kaiyuan Yang , Hongbin Shen , Ye Yuan

When analysing gene expression time series data an often overlooked but crucial aspect of the model is that the regulatory network structure may change over time. Whilst some approaches have addressed this problem previously in the…

Molecular Networks · Quantitative Biology 2012-03-05 Thomas Thorne , Michael P. H Stumpf

Gene expression in individual cells is highly variable and sporadic, often resulting in the synthesis of mRNAs and proteins in bursts. Bursting in gene expression is known to impact cell-fate in diverse systems ranging from latency in HIV-1…

Molecular Networks · Quantitative Biology 2016-02-17 Niraj Kumar , Abhyudai Singh , Rahul V. Kulkarni

While network science has become an indispensable tool for studying complex systems, the conventional use of pairwise links often shows limitations in describing high-order interactions properly. Hypergraphs, where each edge can connect…

Physics and Society · Physics 2024-12-20 Zhao Li , Jing Zhang , Jiqiang Zhang , Guozhong Zheng , Weiran Cai , Li Chen

In many applications, multivariate samples may harbor previously unrecognized heterogeneity at the level of conditional independence or network structure. For example, in cancer biology, disease subtypes may differ with respect to…

Machine Learning · Statistics 2013-01-11 Steven M. Hill , Sach Mukherjee

Estimating conditional independence graphs from high-dimensional Gaussian data is challenging because methods must detect relevant edges while rigorously controlling statistical errors. We propose a Bayesian framework based on a prior…

Methodology · Statistics 2026-04-21 Roland B. Sogan , Tabea Rebafka , Fanny Villers

New experimental methods make it possible to measure the expression levels of many genes, simultaneously, in snapshots from thousands or even millions of individual cells. Current approaches to analyze these experiments involve clustering…

A graphical model is a structured representation of the data generating process. The traditional method to reason over random variables is to perform inference in this graphical model. However, in many cases the generating process is only a…

Machine Learning · Statistics 2019-10-31 Victor Garcia Satorras , Zeynep Akata , Max Welling

The pattern of zero entries in the inverse covariance matrix of a multivariate normal distribution corresponds to conditional independence restrictions between variables. Covariance selection aims at estimating those structural zeros from…

Statistics Theory · Mathematics 2016-08-16 Nicolai Meinshausen , Peter Bühlmann

Gene co-expression network differential analysis is designed to help biologists understand gene expression patterns under different condition. By comparing different gene co-expression networks we may find conserved part as well as…

Quantitative Methods · Quantitative Biology 2016-05-17 Dong Li , James B. Brown , Luisa Orsini , Zhisong Pan , Guyu Hu , Shan He

Statistical inference of genetic regulatory networks is essential for understanding temporal interactions of regulatory elements inside the cells. For inferences of large networks, identification of network structure is typical achieved…

Quantitative Methods · Quantitative Biology 2008-04-07 Heng Lian

Cellular phenotypes are determined by the dynamical activity of networks of co-regulated genes. Elucidating such networks is crucial for the understanding of normal cell physiology as well as for the dissection of complex pathologic…

Molecular Networks · Quantitative Biology 2007-05-23 Kai Wang , Nilanjana Banerjee , Adam Margolin , Ilya Nemenman , Katia Basso , Riccardo Favera , Andrea Califano

Jointly identifying a mixture of discrete and continuous factors of variability without supervision is a key problem in unraveling complex phenomena. Variational inference has emerged as a promising method to learn interpretable mixture…

Machine Learning · Computer Science 2021-04-14 Yeganeh M. Marghi , Rohan Gala , Uygar Sümbül

We outline a representation for discrete multivariate distributions in terms of interventional potential functions that are globally normalized. This representation can be used to model the effects of interventions, and the independence…

Machine Learning · Statistics 2012-05-14 Mark Schmidt , Kevin Murphy

Fluctuations in the measured mRNA levels of unperturbed cells under fixed conditions have often been viewed as an impediment to the extraction of information from expression profiles. Here, we argue that such expression fluctuations should…

Molecular Networks · Quantitative Biology 2007-05-23 William W. Chen , Jeremy L. England , Eugene I. Shakhnovich

In this paper, we consider two stochastic models of gene expression in prokaryotic cells. In the first model, sixteen biochemical reactions involved in transcription, translation and transcriptional regulation in the presence of inducer…

Condensed Matter · Physics 2007-05-23 Indrani Bose , Rajesh Karmakar , Siddhartha Roy

Recent experiments at the level of a single cell have shown that gene expression occurs in abrupt stochastic bursts. Further, in an ensemble of cells, the levels of proteins produced have a bimodal distribution. In a large fraction of…

Soft Condensed Matter · Physics 2009-11-07 Siddhartha Roy , Indrani Bose , Subhrangshu Sekhar Manna

We seek models for the genotype evolution of agricultural animals, animals involved in primary production processes. Classical models for genotype evolution have tended to be very simple in order that analytic methods may be employed in…

Quantitative Methods · Quantitative Biology 2017-12-15 Vladimir Obolonkin , Anatoly Zherelo , George Krylov , Murray Jorgensen , Richard Spelman

Network models provide a powerful framework for analysing single-cell count data, facilitating the characterisation of cellular identities, disease mechanisms, and developmental trajectories. However, uncertainty modeling in unsupervised…

Genomics · Quantitative Biology 2026-04-27 Shanshan Ren , Thomas E. Bartlett , Lina Gerontogianni , Swati Chandna

The estimation of covariance matrices of gene expressions has many applications in cancer systems biology. Many gene expression studies, however, are hampered by low sample size and it has therefore become popular to increase sample size by…

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