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Related papers: Model Checking Gene Regulatory Networks

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Gene regulatory networks are powerful abstractions of biological systems. Since the advent of high-throughput measurement technologies in biology in the late 90s, reconstructing the structure of such networks has been a central…

Quantitative Methods · Quantitative Biology 2018-12-20 Vân Anh Huynh-Thu , Guido Sanguinetti

Many biological, ecological and economic systems are best described by weighted networks, as the nodes interact with each other with varying strength. However, most network models studied so far are binary, the link strength being either 0…

Disordered Systems and Neural Networks · Physics 2009-11-07 S. H. Yook , H. Jeong , A. -L. Barabasi , Y. Tu

Genetic regulatory networks are usually modeled by systems of coupled differential equations and by finite state models, better known as logical networks, are also used. In this paper we consider a class of models of regulatory networks…

Dynamical Systems · Mathematics 2015-06-26 Ricardo Lima , Edgardo Ugalde

Despite theoretical advantages, causal methods for Gene Regulatory Network (GRN) inference from single-cell RNA-seq data consistently fail to match or outperform correlation-based baselines in many realistic benchmarks, a persistent puzzle…

Machine Learning · Computer Science 2026-05-07 Miguel Fernandez-de-Retana , Ruben Sanchez-Corcuera , Unai Zulaika , Aritz Bilbao-Jayo , Aitor Almeida

Genetic algorithms have played an important role in engineering optimization. Traditional GAs treat each gene separately. However, biophysical studies of gene regulatory networks revealed direct associations between different genes. It…

Neural and Evolutionary Computing · Computer Science 2024-05-01 Zhaoning Shi , Meng Xiang , Zhaoyang Hai , Xiabi Liu , Yan Pei

Inferring genetic networks from gene expression data is one of the most challenging work in the post-genomic era, partly due to the vast space of possible networks and the relatively small amount of data available. In this field, Gaussian…

Methodology · Statistics 2011-05-18 Marine Jeanmougin , Mickael Guedj , Christophe Ambroise

In image generation, generative models can be evaluated naturally by visually inspecting model outputs. However, this is not always the case for graph generative models (GGMs), making their evaluation challenging. Currently, the standard…

Machine Learning · Computer Science 2022-04-29 Rylee Thompson , Boris Knyazev , Elahe Ghalebi , Jungtaek Kim , Graham W. Taylor

Genetic regulation is a key component in development, but a clear understanding of the structure and dynamics of genetic networks is not yet at hand. In this paper we investigate these properties within an artificial genome model originally…

Molecular Networks · Quantitative Biology 2009-08-26 Thimo Rohlf , Christopher R. Winkler

Gene regulatory relationships can be abstracted as a gene regulatory network (GRN), which plays a key role in characterizing complex cellular processes and pathways. Recently, graph neural networks (GNNs), as a class of deep learning…

Molecular Networks · Quantitative Biology 2023-11-07 Hui Zhang , Xuexin An , Qiang He , Yudong Yao , Yudong Zhang , Feng-Lei Fan , Yueyang Teng

Social network analysis faces profound difficulties in sharing data between researchers due to privacy and security concerns. A potential remedy to this issue are synthetic networks, that closely resemble their real counterparts, but can be…

Social and Information Networks · Computer Science 2022-12-16 Alex Davies , Nirav Ajmeri

Graphs are a powerful data structure for representing relational data and are widely used to describe complex real-world systems. Probabilistic Graphical Models (PGMs) and Graph Neural Networks (GNNs) can both leverage graph-structured…

Machine Learning · Statistics 2025-08-26 Michela Lapenna , Caterina De Bacco

Gradual argumentation frameworks represent arguments and their relationships in a weighted graph. Their graphical structure and intuitive semantics makes them a potentially interesting tool for interpretable machine learning. It has been…

Machine Learning · Computer Science 2021-06-28 Jonathan Spieler , Nico Potyka , Steffen Staab

The last decade has witnessed a surge of theoretical and computational models to describe the dynamics of complex gene regulatory networks, and how these interactions can give rise to multistable and heterogeneous cell populations. As the…

Molecular Networks · Quantitative Biology 2023-06-28 Federico Bocci , Dongya Jia , Qing Nie , Mohit Kumar Jolly , Jose Onuchic

Gene regulatory network inference (GRNI) aims to discover how genes causally regulate each other from gene expression data. It is well-known that statistical dependencies in observed data do not necessarily imply causation, as spurious…

Machine Learning · Computer Science 2025-11-05 Gongxu Luo , Haoyue Dai , Loka Li , Chengqian Gao , Boyang Sun , Kun Zhang

Today we have a good theoretical understanding of the representational power of Graph Neural Networks (GNNs). For example, their limitations have been characterized in relation to a hierarchy of Weisfeiler-Lehman (WL) isomorphism tests.…

Machine Learning · Computer Science 2023-03-08 Mohammad Sadegh Akhondzadeh , Vijay Lingam , Aleksandar Bojchevski

Geographically weighted regression (GWR) models handle geographical dependence through a spatially varying coefficient model and have been widely used in applied science, but its general Bayesian extension is unclear because it involves a…

Methodology · Statistics 2026-03-18 Yang Liu , Robert J. B. Goudie

The expressive power of Graph Neural Networks (GNNs) has been studied extensively through the Weisfeiler-Leman (WL) graph isomorphism test. However, standard GNNs and the WL framework are inapplicable for geometric graphs embedded in…

Machine Learning · Computer Science 2024-03-05 Chaitanya K. Joshi , Cristian Bodnar , Simon V. Mathis , Taco Cohen , Pietro Liò

Graph-theoretical analyses of complex brain networks is a rapidly evolving field with a strong impact for neuroscientific and related clinical research. Due to a number of confounding variables, however, a reliable and meaningful…

Neurons and Cognition · Quantitative Biology 2014-08-27 Gerrit Ansmann , Klaus Lehnertz

Generative Adversarial Networks (GANs) are powerful generative models, but suffer from training instability. The recently proposed Wasserstein GAN (WGAN) makes progress toward stable training of GANs, but sometimes can still generate only…

Machine Learning · Computer Science 2017-12-27 Ishaan Gulrajani , Faruk Ahmed , Martin Arjovsky , Vincent Dumoulin , Aaron Courville

We derive the sampling properties of random networks based on weights whose pairwise products parameterize independent Bernoulli trials. This enables an understanding of many degree-based network models, in which the structure of realized…

Statistics Theory · Mathematics 2013-06-07 Sofia C. Olhede , Patrick J. Wolfe