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Risk prediction capitalizing on emerging human genome findings holds great promise for new prediction and prevention strategies. While the large amounts of genetic data generated from high-throughput technologies offer us a unique…

Methodology · Statistics 2021-01-29 Xiaoxi Shen , Xiaoran Tong , Qing Lu

We describe the theoretical and computational framework for the Dynamic Signatures for Genetic Regulatory Network (DSGRN) database. The motivation stems from urgent need to understand the global dynamics of biologically relevant signal…

Dynamical Systems · Mathematics 2015-12-15 Bree Cummins , Tomas Gedeon , Shaun Harker , Konstantin Mischaikow , Kafung Mok

Gene regulation is a series of processes that control gene expression and its extent. The connections among genes and their regulatory molecules, usually transcription factors, and a descriptive model of such connections, are known as gene…

Molecular Networks · Quantitative Biology 2017-04-24 Yasser Abduallah , Turki Turki , Kevin Byron , Zongxuan Du , Miguel Cervantes-Cervantes , Jason T. L. Wang

The Poisson equation is commonly encountered in engineering, for instance in computational fluid dynamics (CFD) where it is needed to compute corrections to the pressure field to ensure the incompressibility of the velocity field. In the…

The correlation matrix of massive biomedical data (e.g. gene expression or neuroimaging data) often exhibits a complex and organized, yet latent graph topological structure. We propose a two step procedure that first detects the latent…

Applications · Statistics 2017-08-09 Shuo Chen , Jian Kang , Yishi Xing , Yunpeng Zhao , Don Milton

The complex dynamics of gene expression in living cells can be well-approximated using Boolean networks. The average sensitivity is a natural measure of stability in these systems: values below one indicate typically stable dynamics…

Molecular Networks · Quantitative Biology 2018-10-03 Bryan C. Daniels , Hyunju Kim , Douglas Moore , Siyu Zhou , Harrison Smith , Bradley Karas , Stuart A. Kauffman , Sara I. Walker

CoVariance Neural Networks (VNNs) perform convolutions on the graph determined by the covariance matrix of the data, which enables expressive and stable covariance-based learning. However, covariance matrices are typically dense, fail to…

Machine Learning · Computer Science 2026-01-21 Andrea Cavallo , Samuel Rey , Antonio G. Marques , Elvin Isufi

Background: Single-cell RNA sequencing (scRNA-seq) enables gene expression profiling at cellular resolution but is inherently affected by sparsity caused by dropout events, where expressed genes are recorded as zeros due to technical…

Genomics · Quantitative Biology 2026-04-15 Yuichiro Iwashita , Ahtisham Fazeel Abbasi , Koichi Kise , Andreas Dengel , Muhammad Nabeel Asim

The Gene Regulatory Network (GRN) of biological cells governs a number of key functionalities that enables them to adapt and survive through different environmental conditions. Close observation of the GRN shows that the structure and…

Neural and Evolutionary Computing · Computer Science 2023-10-10 Adrian Ratwatte , Samitha Somathilaka , Sasitharan Balasubramaniam , Assaf A. Gilad

We present a probabilistic model for learning from dynamic relational data, wherein the observed interactions among networked nodes are modeled via the Bernoulli Poisson link function, and the underlying network structure are characterized…

Social and Information Networks · Computer Science 2018-05-29 Sikun Yang , Heinz Koeppl

Inference of gene regulatory networks has been an active area of research for around 20 years, leading to the development of sophisticated inference algorithms based on a variety of assumptions and approaches. With the always increasing…

Molecular Networks · Quantitative Biology 2022-11-03 Malvina Marku , Vera Pancaldi

Detecting differences in gene expression is an important part of single-cell RNA sequencing experiments, and many statistical methods have been developed for this aim. Most differential expression analyses focus on comparing expression…

Boolean networks have been proposed as potentially useful models for genetic control. An important aspect of these networks is the stability of their dynamics in response to small perturbations. Previous approaches to stability have assumed…

Molecular Networks · Quantitative Biology 2015-05-13 Andrew Pomerance , Edward Ott , Michelle Girvan , Wolfgang Losert

When modeling network data using a latent position model, it is typical to assume that the nodes' positions are independently and identically distributed. However, this assumption implies the average node degree grows linearly with the…

Statistics Theory · Mathematics 2025-01-07 Neil A. Spencer , Cosma Rohilla Shalizi

Modelling gene regulatory networks not only requires a thorough understanding of the biological system depicted but also the ability to accurately represent this system from a mathematical perspective. Throughout this chapter, we aim to…

Quantitative Methods · Quantitative Biology 2018-05-04 Olivia Angelin-Bonnet , Patrick J. Biggs , Matthieu Vignes

An almost ubiquitous assumption made in the stochastic-analytic study of the quality of service in cellular networks is Poisson distribution of base stations. It is usually justified by various irregularities in the real placement of base…

Probability · Mathematics 2013-01-21 Bartlomiej Blaszczyszyn , Mohamed Kadhem Karray , Holger Paul Keeler

The practical utility of machine learning models in the sciences often hinges on their interpretability. It is common to assess a model's merit for scientific discovery, and thus novel insights, by how well it aligns with already available…

Machine Learning · Computer Science 2024-10-29 Intekhab Hossain , Jonas Fischer , Rebekka Burkholz , John Quackenbush

Semantic segmentation with limited annotations, such as weakly supervised semantic segmentation (WSSS) and semi-supervised semantic segmentation (SSSS), is a challenging task that has attracted much attention recently. Most leading WSSS…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Junwen Pan , Pengfei Zhu , Kaihua Zhang , Bing Cao , Yu Wang , Dingwen Zhang , Junwei Han , Qinghua Hu

In this work, we introduce a new methodology for inferring the interaction structure of discrete valued time series which are Poisson distributed. While most related methods are premised on continuous state stochastic processes, in fact,…

Methodology · Statistics 2021-08-12 Jeremie Fish , Jie Sun , Erik Bollt

Gene regulatory networks (GRNs) are essential for understanding cell fate decisions and disease mechanisms, yet cross-species GRN inference from single-cell RNA-seq data remains challenging due to noise, sparsity, and cross-species…

Genomics · Quantitative Biology 2026-01-19 Shuai Yan , Qingzhi Yu , Wengfeng Dai , Xiang Cheng