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Despite the growing interest in characterizing the local geometry leading to the global topology of networks, our understanding of the local structure of complex networks, especially real-world networks, is still incomplete. Here, we…

Social and Information Networks · Computer Science 2020-12-08 Amirhossein Farzam , Areejit Samal , Jürgen Jost

Randomized experiments, or "A/B" tests, remain the gold standard for evaluating the causal effect of a policy intervention or product change. However, experimental settings, such as social networks, where users are interacting and…

Social and Information Networks · Computer Science 2021-02-17 Yuan Yuan , Kristen M. Altenburger , Farshad Kooti

Transcription networks, and other directed networks can be characterized by some topological observables such as for example subgraph occurrence (network motifs). In order to perform such kind of analysis, it is necessary to be able to…

Quantitative Methods · Quantitative Biology 2007-06-04 D. Fusco , B. Bassetti , P. Jona , M. Cosentino Lagomarsino

Deep learning on graphs and in particular, graph convolutional neural networks, have recently attracted significant attention in the machine learning community. Many of such techniques explore the analogy between the graph Laplacian…

Machine Learning · Computer Science 2018-02-07 Federico Monti , Karl Otness , Michael M. Bronstein

Many real-world applications give rise to large heterogeneous networks where nodes and edges can be of any arbitrary type (e.g., user, web page, location). Special cases of such heterogeneous graphs include homogeneous graphs, bipartite,…

Social and Information Networks · Computer Science 2019-05-14 Ryan A. Rossi , Nesreen K. Ahmed , Aldo Carranza , David Arbour , Anup Rao , Sungchul Kim , Eunyee Koh

Dimension reduction is a common strategy to study non-linear dynamical systems composed by a large number of variables. The goal is to find a smaller version of the system whose time evolution is easier to predict while preserving some of…

Dynamical Systems · Mathematics 2022-06-23 Marina Vegué , Vincent Thibeault , Patrick Desrosiers , Antoine Allard

We study navigation with limited information in networks and demonstrate that many real-world networks have a structure which can be described as favoring communication at short distance at the cost of constraining communication at long…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. Rosvall , P. Minnhagen , K. Sneppen

Motifs, which have been established as building blocks for network structure, move beyond pair-wise connections to capture longer-range correlations in connections and activity. In spite of this, there are few generative graph models that…

Social and Information Networks · Computer Science 2023-08-03 Giselle Zeno , Timothy La Fond , Jennifer Neville

Many complex networks are described by directed links; in such networks, a link represents, for example, the control of one node over the other node or unidirectional information flows. Some centrality measures are used to determine the…

Physics and Society · Physics 2009-10-24 Naoki Masuda , Yoji Kawamura , Hiroshi Kori

A goal in network science is the geometrical characterization of complex networks. In this direction, we (arXiv:1603.00386; J. Stat. Mech. (2016) P063206) have recently introduced the Forman's discretization of Ricci curvature to the realm…

Molecular Networks · Quantitative Biology 2017-02-28 R. P. Sreejith , Jürgen Jost , Emil Saucan , Areejit Samal

The structure of complex networks can be characterized by counting and analyzing network motifs. Motifs are small subgraphs that occur repeatedly in a network, such as triangles or chains. Recent work has generalized motifs to temporal and…

Physics and Society · Physics 2022-01-04 Timothy LaRock , Ingo Scholtes , Tina Eliassi-Rad

Network alignment is a problem of finding the node mapping between similar networks. It links the data from separate sources and is widely studied in bioinformation and social network fields. The critical difference between network…

Social and Information Networks · Computer Science 2021-07-26 Hailong Li , Naiyue Chen

Given a directed network $ G $, we are interested in studying the qualitative features of $ G $ which govern how perturbations propagate across $ G $. Various classical centrality measures have been already developed and proven useful to…

Social and Information Networks · Computer Science 2022-02-01 Fenghuan He

Images of natural systems may represent patterns of network-like structure, which could reveal important information about the topological properties of the underlying subject. However, the image itself does not automatically provide a…

Computer Vision and Pattern Recognition · Computer Science 2021-09-03 Diego Baptista , Caterina De Bacco

As the complexity of production processes increases, the diversity of data types drives the development of network monitoring technology. This paper mainly focuses on an online algorithm to detect serially correlated directed networks…

Applications · Statistics 2021-12-17 Miaomiao Yu , Yuhao Zhou , Fugee Tsung

Networks are useful for describing systems of interacting objects, where the nodes represent the objects and the edges represent the interactions between them. The applications include chemical and metabolic systems, food webs as well as…

Computational Physics · Physics 2009-10-20 Baruch Barzel , Ofer Biham

Network models have been widely used to study diverse systems and analyze their dynamic behaviors. Given the structural variability of networks, an intriguing question arises: Can we infer the type of system represented by a network based…

Social and Information Networks · Computer Science 2025-05-29 Gonzalo Travieso , Joao Merenda , Odemir M. Bruno

Highlighting similarities and differences between networks is an informative task in investigating many biological processes. Typical examples are detecting differences between an inferred network and the corresponding gold standard, or…

Molecular Networks · Quantitative Biology 2011-09-02 Giuseppe Jurman , Samantha Riccadonna , Roberto Visintainer , Cesare Furlanello

We consider the problem of finding communities or modules in directed networks. The most common approach to this problem in the previous literature has been simply to ignore edge direction and apply methods developed for community discovery…

Data Analysis, Statistics and Probability · Physics 2008-03-22 E. A. Leicht , M. E. J. Newman

The structure of the network can be described by motifs, which are subgraphs that often repeat themselves. In order to understand the structure of network motifs, it is of great importance to study subgraphs from the perspective of…

General Topology · Mathematics 2019-10-25 Ruize Gao , Ying Zhao