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We present a technique to characterize differentially expressed genes in terms of their position in a high-dimensional co-expression network. The set-up of Gaussian graphical models is used to construct representations of the co-expression…

Applications · Statistics 2010-11-17 Gabriel C. G. de Abreu , Rodrigo Labouriau

It has recently been discovered that many biological systems, when represented as graphs, exhibit a scale-free topology. One such system is the set of structural relationships among protein domains. The scale-free nature of this and other…

Populations and Evolution · Quantitative Biology 2009-11-10 Eric J. Deeds , Eugene I. Shakhnovich

We develop novel hierarchical reciprocal graphical models to infer gene networks from heterogeneous data. In the case of data that can be naturally divided into known groups, we propose to connect graphs by introducing a hierarchical prior…

Methodology · Statistics 2018-01-23 Yang Ni , Peter Mueller , Yitan Zhu , Yuan Ji

Reconstruction of gene regulatory networks or 'reverse-engineering' is a process of identifying gene interaction networks from experimental microarray gene expression profile through computation techniques. In this paper, we tried to…

Computational Engineering, Finance, and Science · Computer Science 2014-08-25 Khalid Raza , Rafat Parveen

Scale-free networks are abundant in nature and society, describing such diverse systems as the world wide web, the web of human sexual contacts, or the chemical network of a cell. All models used to generate a scale-free topology are…

Statistical Mechanics · Physics 2009-11-07 Albert-Laszlo Barabasi , Erzsebet Ravasz , Tamas Vicsek

Transcriptional profiling on microarrays to obtain gene expressions has been used to facilitate cancer diagnosis. We propose a deep generative machine learning architecture (called DeepCancer) that learn features from unlabeled microarray…

Artificial Intelligence · Computer Science 2016-12-14 Rajendra Rana Bhat , Vivek Viswanath , Xiaolin Li

Several studies on real complex networks from different fields as biology, economy, or sociology have shown that the degree of nodes (number of edges connected to each node) follows a scale-free power-law distribution like $P(k)\approx…

Biological Physics · Physics 2007-05-23 J. C. Nacher , T. Yamada , S. Goto , M. Kanehisa , T. Akutsu

In the context of growing networks, we introduce a simple dynamical model that unifies the generic features of real networks: scale-free distribution of degree and the small world effect. While the average shortest path length increases…

Condensed Matter · Physics 2009-11-07 Konstantin Klemm , Victor M. Eguiluz

Constructing gene interaction networks (GINs) from high-throughput gene expression data is an important and challenging problem in systems biology. Existing algorithms produce networks that either have undirected and unweighted edges, or…

Genomics · Quantitative Biology 2016-03-15 Nitin Kumar Singh , M. Eren Ahsen , Shiva Mankala , Hyun-Seok Kim , Michael A. White , M. Vidyasagar

Recently there have been a tremendous interest in models of networks with a power-law distribution of degree -- so called "scale-free networks." It has been observed that such networks, normally, have extremely short path-lengths, scaling…

Disordered Systems and Neural Networks · Physics 2007-05-23 Petter Holme

Research in network science has shown that many naturally occurring and technologically constructed networks are scale free, that means a power law degree distribution emerges from a growth model in which each new node attaches to the…

Physics and Society · Physics 2009-11-11 Michael Schnegg

Community structures have been identified in various complex real-world networks, for example, communication, information, internet and shareholder networks. The scaling of community size distribution indicates the heterogeneity in the…

Physics and Society · Physics 2022-07-11 Qing Yao , Bingsheng Chen , Tim S. Evans , Kim Christensen

Reconstruction of gene regulatory networks is the process of identifying gene dependency from gene expression profile through some computation techniques. In our human body, though all cells pose similar genetic material but the activation…

Variable selection for structured covariates lying on an underlying known graph is a problem motivated by practical applications, and has been a topic of increasing interest. However, most of the existing methods may not be scalable to high…

Methodology · Statistics 2016-04-27 Changgee Chang , Suprateek Kundu , Qi Long

All networks can be analyzed at multiple scales. A higher scale of a network is made up of macro-nodes: subgraphs that have been grouped into individual nodes. Recasting a network at higher scales can have useful effects, such as decreasing…

Social and Information Networks · Computer Science 2022-02-18 Ross Griebenow , Brennan Klein , Erik Hoel

We consider a method to jointly estimate sparse precision matrices and their underlying graph structures using dependent high-dimensional datasets. We present a penalized maximum likelihood estimator which encourages both sparsity and…

Applications · Statistics 2016-08-22 Adria Caballe , Natalia Bochkina , Claus Mayer

In this paper, we present a simple model of scale-free networks that incorporates both preferential & random attachment and anti-preferential & random deletion at each time step. We derive the degree distribution analytically and show that…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Dinghua Shi , Xiang Zhu , Liming Liu

Prognostic genes have been well studied within each type of cancer. However, investigations of the similarities and differences across cancer types are rare. In view of the optimal course of treatment, the classification of cancers into…

Applications · Statistics 2019-03-20 Arturo Chavez , Dimitris Koutentakis , Youzhi Liang , Sonali Tripathy , Jie Yun

We propose a method for gene expression based analysis of cancer phenotypes incorporating network biology knowledge through unsupervised construction of computational graphs. The structural construction of the computational graphs is driven…

Molecular Networks · Quantitative Biology 2020-10-02 Paul Scherer , Maja Trȩbacz , Nikola Simidjievski , Zohreh Shams , Helena Andres Terre , Pietro Liò , Mateja Jamnik

We construct a gene network based on expression data from DNA microarray experiments, by establishing a link between two genes whenever the Pearson's correlation coefficient between their expression profiles is higher than a certain cutoff.…

Statistical Mechanics · Physics 2007-05-23 P. Provero