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In this work we study the dynamics of systems composed of numerous interacting elements interconnected through a random weighted directed graph, such as models of random neural networks. We develop an original theoretical approach based on…

Chaotic Dynamics · Physics 2015-09-30 Gilles Wainrib , Mathieu Galtier

In the process of building (structural learning) a probabilistic graphical model from a set of observed data, the directional, cyclic dependencies between the random variables of the model are often found. Existing graphical models such as…

Machine Learning · Computer Science 2023-10-26 Oleksii Sirotkin

Transcriptomic data is a treasure-trove in modern molecular biology, as it offers a comprehensive viewpoint into the intricate nuances of gene expression dynamics underlying biological systems. This genetic information must be utilised to…

Molecular Networks · Quantitative Biology 2023-12-13 Vikram Singh , Vikram Singh

Graph Neural Networks (GNNs) are the first choice for learning algorithms on graph data. GNNs promise to integrate (i) node features as well as (ii) edge information in an end-to-end learning algorithm. How does this promise work out…

Machine Learning · Computer Science 2021-03-12 Lukas Faber , Yifan Lu , Roger Wattenhofer

Cellular response to environmental and internal signals can be modeled by dynamical gene regulatory networks (GRN). In the literature, three main classes of gene network models can be distinguished: (i) non-quantitative (or data-based)…

Molecular Networks · Quantitative Biology 2025-05-08 Nicolas Champagnat , Rodolphe Loubaton , Laurent Vallat , Pierre Vallois

Predicting genetic perturbations enables the identification of potentially crucial genes prior to wet-lab experiments, significantly improving overall experimental efficiency. Since genes are the foundation of cellular life, building gene…

Quantitative Methods · Quantitative Biology 2025-05-09 Changxi Chi , Jun Xia , Jingbo Zhou , Jiabei Cheng , Chang Yu , Stan Z. Li

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

Biological processes underlying the basic functions of a cell involve complex interactions between genes. From a technical point of view, these interactions can be represented through a graph where genes and their connections are,…

Methodology · Statistics 2020-11-24 Thi Kim Hue Nguyen , Monica Chiogna

In this paper, we study the connectivity of a one-dimensional soft random geometric graph (RGG). The graph is generated by placing points at random on a bounded line segment and connecting pairs of points with a probability that depends on…

Probability · Mathematics 2021-01-04 Michael Wilsher , Carl P. Dettmann , Ayalvadi Ganesh

Probabilistic graphical models (PGMs) have become a popular tool for computational analysis of biological data in a variety of domains. But, what exactly are they and how do they work? How can we use PGMs to discover patterns that are…

Quantitative Methods · Quantitative Biology 2010-02-22 Edoardo M Airoldi

Probabilistic dependency graphs (PDGs) are a flexible class of probabilistic graphical models, subsuming Bayesian Networks and Factor Graphs. They can also capture inconsistent beliefs, and provide a way of measuring the degree of this…

Data Structures and Algorithms · Computer Science 2023-11-10 Oliver E. Richardson , Joseph Y. Halpern , Christopher De Sa

Predicting the responses of a cell under perturbations may bring important benefits to drug discovery and personalized therapeutics. In this work, we propose a novel graph variational Bayesian causal inference framework to predict a cell's…

Graph-structured data appears frequently in domains including chemistry, natural language semantics, social networks, and knowledge bases. In this work, we study feature learning techniques for graph-structured inputs. Our starting point is…

Machine Learning · Computer Science 2017-09-26 Yujia Li , Daniel Tarlow , Marc Brockschmidt , Richard Zemel

Identifying causative genes from patient phenotypes remains a significant challenge in precision medicine, with important implications for the diagnosis and treatment of genetic disorders. We propose a novel graph-based approach for…

Machine Learning · Computer Science 2025-06-17 Kamilia Zaripova , Ege Özsoy , Nassir Navab , Azade Farshad

A critical task in systems biology is the identification of genes that interact to control cellular processes by transcriptional activation of a set of target genes. Many methods have been developed to use statistical correlations in…

Quantitative Methods · Quantitative Biology 2010-11-24 Adam A. Margolin , Kai Wang , Andrea Califano , Ilya Nemenman

Dependency networks (Heckerman et al., 2000) are potential probabilistic graphical models for systems comprising a large number of variables. Like Bayesian networks, the structure of a dependency network is represented by a directed graph,…

Machine Learning · Computer Science 2021-07-05 Kazuya Takabatake , Shotaro Akaho

Scene graph is a structured representation of a scene that can clearly express the objects, attributes, and relationships between objects in the scene. As computer vision technology continues to develop, people are no longer satisfied with…

Computer Vision and Pattern Recognition · Computer Science 2022-01-10 Xiaojun Chang , Pengzhen Ren , Pengfei Xu , Zhihui Li , Xiaojiang Chen , Alex Hauptmann

Variations in complex traits are influenced by multiple genetic variants, environmental risk factors, and their interactions. Though substantial progress has been made in identifying single genetic variants associated with complex traits,…

Genomics · Quantitative Biology 2025-08-22 Ming Li , Ruo-Sin Peng , Changshuai Wei , Qing Lu

Graphs are general and powerful data representations which can model complex real-world phenomena, ranging from chemical compounds to social networks; however, effective feature extraction from graphs is not a trivial task, and much work…

Modelling long-range dependencies is critical for scene understanding tasks in computer vision. Although CNNs have excelled in many vision tasks, they are still limited in capturing long-range structured relationships as they typically…

Computer Vision and Pattern Recognition · Computer Science 2022-09-16 Li Zhang , Dan Xu , Anurag Arnab , Philip H. S. Torr