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We study how to detect groups in a complex network each of which consists of component nodes sharing a similar connection pattern. Based on the mixture models and the exploratory analysis set up by Newman and Leicht (Newman and Leicht 2007…

Data Analysis, Statistics and Probability · Physics 2008-12-17 J. Wang , C. -H. Lai

We study the problem of identifying different behaviors occurring in different parts of a large heterogenous network. We zoom in to the network using lenses of different sizes to capture the local structure of the network. These network…

Social and Information Networks · Computer Science 2019-01-29 Kshiteesh Hegde , Malik Magdon-Ismail

In the paper we consider the linear underdetermined system of a special type. Systems of this type appear in non-homogeneous network flow programming problems in the form of systems of constraints and can be characterized as systems with a…

Optimization and Control · Mathematics 2008-07-04 Ludmila Pilipchuk , Eugene Vecharynski

It is a significant challenge to predict the network topology from a small amount of dynamical observations. Different from the usual framework of the node-based reconstruction, two optimization approaches (i.e., the global and partitioned…

Physics and Society · Physics 2016-03-03 Ming Xu , Chuan-Yun Xu , Huan Wang , Yong-Kui Li , Jing-Bo Hu , Ke-Fei Cao

The heterogeneous micromechanical properties of biological tissues have profound implications across diverse medical and engineering domains. However, identifying full-field heterogeneous elastic properties of soft materials using…

Numerical Analysis · Mathematics 2025-07-09 Wensi Wu , Mitchell Daneker , Kevin T. Turner , Matthew A. Jolley , Lu Lu

Inverse problems in imaging are typically ill-posed and are usually solved by employing regularized optimization techniques. The usage of appropriate constraints can restrict the solution space, thus making it feasible for a reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2025-11-14 Jasleen Birdi , Tamal Majumder , Debanjan Halder , Muskan Kularia , Kedar Khare

Finding hidden layers in complex networks is an important and a non-trivial problem in modern science. We explore the framework of quantum graphs to determine whether concealed parts of a multi-layer system exist and if so then what is…

Disordered Systems and Neural Networks · Physics 2021-10-04 Łukasz G. Gajewski , Julian Sienkiewicz , Janusz A. Hołyst

The problem of community detection in multi-layer undirected networks has received considerable attention in recent years. However, practical scenarios often involve multi-layer bipartite networks, where each layer consists of two distinct…

Social and Information Networks · Computer Science 2024-05-09 Huan Qing

Many real-world graphs (networks) are heterogeneous with different types of nodes and edges. Heterogeneous graph embedding, aiming at learning the low-dimensional node representations of a heterogeneous graph, is vital for various…

Social and Information Networks · Computer Science 2021-12-15 Wentao Xu , Yingce Xia , Weiqing Liu , Jiang Bian , Jian Yin , Tie-Yan Liu

As networks grow in size and complexity, backbones become an essential network representation. Indeed, they provide a simplified yet informative overview of the underlying organization by retaining the most significant and structurally…

Social and Information Networks · Computer Science 2024-07-30 Sanaa Hmaida , Hocine Cherifi , Mohammed El Hassouni

Multilayer networks represent systems in which there are several topological levels each one representing one kind of interaction or interdependency between the systems' elements. These networks have attracted a lot of attention recently…

Physics and Society · Physics 2015-04-22 Emanuele Cozzo , Guilherme Ferraz de Arruda , Francisco A. Rodrigues , Yamir Moreno

Networks (or graphs) are used to model the dyadic relations between entities in a complex system. In cases where there exists multiple relations between the entities, the complex system can be represented as a multilayer network, where the…

Social and Information Networks · Computer Science 2019-10-04 Abhishek Santra , Sanjukta Bhowmick , Sharma Chakravarthy

Since real-world objects and their interactions are often multi-modal and multi-typed, heterogeneous networks have been widely used as a more powerful, realistic, and generic superclass of traditional homogeneous networks (graphs).…

Social and Information Networks · Computer Science 2020-12-18 Carl Yang , Yuxin Xiao , Yu Zhang , Yizhou Sun , Jiawei Han

Disordered hyperuniform many-body systems are distinguishable states of matter that lie between a crystal and liquid: they are like perfect crystals in the way they suppress large-scale density fluctuations and yet are like liquids or…

Soft Condensed Matter · Physics 2016-09-21 Salvatore Torquato

Networks are one of the most valuable data structures for modeling problems in the real world. However, the most recent node embedding strategies have focused on undirected graphs, with limited attention to directed graphs, especially…

Machine Learning · Computer Science 2023-11-27 Xiyang Sun , Fumiyasu Komaki

Forthcoming wireless communications will be characterized by the ubiquity of multiaccess. Despite the inherently increased complexity, end-users should be able to take advantage of the most suitable access network. Thus, access selection in…

Networking and Internet Architecture · Computer Science 2011-05-10 Kostas Pentikousis , Ramón Agüero , Jens Gebert , José Antonio Galache , Oliver Blume , Pekka Pääkkönen

Complex network theory has been used to study complex systems. However, many real-life systems involve multiple kinds of objects . They can't be described by simple graphs. In order to provide complete information of these systems, we…

Physics and Society · Physics 2015-11-10 Jin-Li Guo , Xin-Yun Zhu

The nature of information security has been, and probably will continue to be, marked by the asymmetric competition of attackers and defenders over the control of an uncertain environment. The reduction of this degree of uncertainty via an…

Software Engineering · Computer Science 2024-07-11 Marius-Constantin Ilau , Tristan Caulfield , David Pym

Heterogeneous object design is an active research area in recent years. The conventional CAD modeling approaches only provide geometry and topology of the object, but do not contain any information with regard to the materials of the object…

Computational Engineering, Finance, and Science · Computer Science 2010-04-22 Vikas Gupta , K. S. Kasana , Puneet Tandon

Complex systems are characterized by many interacting units that give rise to emergent behavior. A particularly advantageous way to study these systems is through the analysis of the networks that encode the interactions among the system's…

Physics and Society · Physics 2019-03-21 Alberto Aleta , Yamir Moreno