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In this work, we study a class of hybrid dynamical systems called hybrid gene regulatory networks (HGRNs) which was proposed to model gene regulatory networks. In HGRNs, there exist well-behaved trajectories that reach a fixed point or…

Molecular Networks · Quantitative Biology 2024-04-26 Adrian Wurm , Honglu Sun

Understanding the complex and stochastic nature of Gene Regulatory Networks (GRNs) remains a central challenge in systems biology. Existing modeling paradigms often struggle to effectively capture the intricate, multi-factor regulatory…

Molecular Networks · Quantitative Biology 2025-08-20 Yiyang Jia , Zheng Wei , Zheng Yang , Guohong Peng

Complex biological functions are carried out by the interaction of genes and proteins. Uncovering the gene regulation network behind a function is one of the central themes in biology. Typically, it involves extensive experiments of…

Quantitative Methods · Quantitative Biology 2020-02-25 Jingxiang Shen , Mariela D. Petkova , Yuhai Tu , Feng Liu , Chao Tang

Graph topology identification (GTI) is a central challenge in networked systems, where the underlying structure is often hidden, yet nodal data are available. Conventional solutions to address these challenges rely on probabilistic models…

Signal Processing · Electrical Eng. & Systems 2026-02-18 Yongsheng Han , Raj Thilak Rajan , Geert Leus

Network structures play important roles in social, technological and biological systems. However, the observable nodes and connections in real cases are often incomplete or unavailable due to measurement errors, private protection issues,…

Social and Information Networks · Computer Science 2024-06-19 Mengyuan Chen , Yan Zhang , Zhang Zhang , Lun Du , Jiang Zhang

Dynamic networks are commonly used in applications where relational data is observed over time. Statistical models for such data should capture not only the temporal dependencies between networks observed in time, but also the structural…

Methodology · Statistics 2017-04-10 Jihui Lee , Gen Li , James D. Wilson

A substantial focus of research in molecular biology are gene regulatory networks: the set of transcription factors and target genes which control the involvement of different biological processes in living cells. Previous statistical…

Statistics Theory · Mathematics 2012-08-27 Shane T. Jensen , Guang Chen , Christian J. Stoeckert,

Generative adversarial networks (GANs) are one of the most widely used generative models. GANs can learn complex multi-modal distributions, and generate real-like samples. Despite the major success of GANs in generating synthetic data, they…

Machine Learning · Computer Science 2021-09-07 Sanaz Mohammadjafari , Mucahit Cevik , Ayse Basar

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

Diabetes is a worldwide health issue affecting millions of people. Machine learning methods have shown promising results in improving diabetes prediction, particularly through the analysis of diverse data types, namely gene expression data.…

Machine Learning · Computer Science 2024-04-24 Rita T. Sousa , Heiko Paulheim

"Module networks" are a framework to learn gene regulatory networks from expression data using a probabilistic model in which coregulated genes share the same parameters and conditional distributions. We present a method to infer ensembles…

Quantitative Methods · Quantitative Biology 2009-04-09 Tom Michoel , Riet De Smet , Anagha Joshi , Kathleen Marchal , Yves Van de Peer

Governing equations are essential to the study of nonlinear dynamics, often enabling the prediction of previously unseen behaviors as well as the inclusion into control strategies. The discovery of governing equations from data thus has the…

Dynamical Systems · Mathematics 2021-04-30 Alejandro Carderera , Sebastian Pokutta , Christof Schütte , Martin Weiser

Biomarker discovery from high-throughput transcriptomic data is crucial for advancing precision medicine. However, existing methods often neglect gene-gene regulatory relationships and lack stability across datasets, leading to conflation…

Quantitative Methods · Quantitative Biology 2025-11-18 Chaowang Lan , Jingxin Wu , Yulong Yuan , Chuxun Liu , Huangyi Kang , Caihua Liu

Relational inference aims to identify interactions between parts of a dynamical system from the observed dynamics. Current state-of-the-art methods fit the dynamics with a graph neural network (GNN) on a learnable graph. They use one-step…

Machine Learning · Computer Science 2023-12-21 Liming Pan , Cheng Shi , Ivan Dokmanić

Background. Dynamical models of gene regulatory networks (GRNs) are highly effective in describing complex biological phenomena and processes, such as cell differentiation and cancer development. Yet, the topological and functional…

Molecular Networks · Quantitative Biology 2015-08-17 Andrea Paroni , Alex Graudenzi , Giulio Caravagna , Chiara Damiani , Giancarlo Mauri , Marco Antoniotti

Biomedical sciences are increasingly recognising the relevance of gene co-expression-networks for analysing complex-systems, phenotypes or diseases. When the goal is investigating complex-phenotypes under varying conditions, it comes…

Gene regulation is a complex process involving the role of several genomic elements which work in concert to drive spatio-temporal expression. The experimental characterization of gene regulatory elements is a very complex and…

Genomics · Quantitative Biology 2007-10-11 Arvind Rao , Alfred O. Hero , David J. States , James Douglas Engel

Recent advances in Neural Variational Inference allowed for a renaissance in latent variable models in a variety of domains involving high-dimensional data. While traditional variational methods derive an analytical approximation for the…

Machine Learning · Computer Science 2019-08-20 Alexander I. Cowen-Rivers , Pasquale Minervini , Tim Rocktaschel , Matko Bosnjak , Sebastian Riedel , Jun Wang

Living organisms must respond to environmental changes. Generally, accurate and rapid responses are provided by simple, unidirectional networks that connect inputs with outputs. Besides accuracy and speed, biological responses should also…

Molecular Networks · Quantitative Biology 2021-09-01 Masayo Inoue , Kunihiko Kaneko

Dynamical systems in which local interactions among agents give rise to complex emerging phenomena are ubiquitous in nature and society. This work explores the problem of inferring the unknown interaction structure (represented as a graph)…

Machine Learning · Computer Science 2021-06-01 Gerrit Großmann , Julian Zimmerlin , Michael Backenköhler , Verena Wolf
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