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Networks analysis has been commonly used to study the interactions between units of complex systems. One problem of particular interest is learning the network's underlying connection pattern given a single and noisy instantiation. While…

Machine Learning · Statistics 2021-06-08 Tianxi Li , Can M. Le

A wealth of evidence shows that real world networks are endowed with the small-world property i.e., that the maximal distance between any two of their nodes scales logarithmically rather than linearly with their size. In addition, most…

We study the statistical properties of the sampled scale-free networks, deeply related to the proper identification of various real-world networks. We exploit three methods of sampling and investigate the topological properties such as…

Disordered Systems and Neural Networks · Physics 2009-11-24 Sang Hoon Lee , Pan-Jun Kim , Hawoong Jeong

Recent progress in encoder-decoder neural network architecture design has led to significant performance improvements in a wide range of medical image segmentation tasks. However, state-of-the-art networks for a given task may be too…

Image and Video Processing · Electrical Eng. & Systems 2021-12-22 Tariq M. Khan , Syed S. Naqvi , Erik Meijering

Small-world networks, i.e. networks displaying both a high clustering coefficient and a small characteristic path length, are obliquitous in nature. Since their identification, the "small-worldness" metric, as proposed by Humphries and…

Physics and Society · Physics 2015-05-15 Massimiliano Zanin

Real world complex networks often exhibit multiplex structure, connecting entities from different aspects of physical systems such as social, transportation and biological networks. Little is known about general properties of such networks…

Social and Information Networks · Computer Science 2019-11-28 Blaž Škrlj , Benjamin Renoust

It is often the case that the performance of a neural network can be improved by adding layers. In real-world practices, we always train dozens of neural network architectures in parallel which is a wasteful process. We explored $CompNet$,…

Neural and Evolutionary Computing · Computer Science 2018-04-30 Jun Lu , Wei Ma , Boi Faltings

Effectively preserving both the structural and dynamical properties during the reduction of complex networks remains a significant research topic. Existing network reduction methods based on renormalization group or sampling often face…

Social and Information Networks · Computer Science 2025-07-15 Dan Chen , Housheng Su , Yong Wang , Jie Liu

Performance of standard processes over large distributed networks typically scales with the size of the network. For example, in planar topologies where nodes communicate with their natural neighbors, the scaling factor is $O(n)$, where $n$…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-18 Abhinav Mishra

As neural networks become widely deployed in different applications and on different hardware, it has become increasingly important to optimize inference time and model size along with model accuracy. Most current techniques optimize model…

Machine Learning · Statistics 2018-06-12 Guillaume Leclerc , Manasi Vartak , Raul Castro Fernandez , Tim Kraska , Samuel Madden

We describe the structure of the graphs with the smallest average distance and the largest average clustering given their order and size. There is usually a unique graph with the largest average clustering, which at the same time has the…

Molecular Networks · Quantitative Biology 2010-07-28 Dionysios Barmpoutis , Richard M. Murray

Temporal networks have been increasingly used to model a diversity of systems that evolve in time; for example human contact structures over which dynamic processes such as epidemics take place. A fundamental aspect of real-life networks is…

Physics and Society · Physics 2017-11-08 Luis E C Rocha , Naoki Masuda , Petter Holme

Deep neural network (DNN) verification is an emerging field, with diverse verification engines quickly becoming available. Demonstrating the effectiveness of these engines on real-world DNNs is an important step towards their wider…

Logic in Computer Science · Computer Science 2020-08-11 Sumathi Gokulanathan , Alexander Feldsher , Adi Malca , Clark Barrett , Guy Katz

The small-world phenomenon has been already the subject of a huge variety of papers, showing its appeareance in a variety of systems. However, some big holes still remain to be filled, as the commonly adopted mathematical formulation…

Statistical Mechanics · Physics 2009-11-07 Vito Latora , Massimo Marchiori

In this paper we investigate networks whose evolution is governed by the interaction of a random assembly process and an optimization process. In the first process, new nodes are added one at a time and form connections to randomly selected…

Disordered Systems and Neural Networks · Physics 2011-05-16 Markus Brede

We find that traditional statistics for measuring degree mixing are strongly affected by superrich nodes. To counteract and measure the effect of superrich nodes, we propose a paradigm to quantify the mixing pattern of a real network in…

Physics and Society · Physics 2015-05-14 Xiao-Ke Xu , Jie Zhang , Junfeng Sun , Michael Small

The study of the topological structure of complex networks has fascinated researchers for several decades, and today we have a fairly good understanding of the types and reoccurring characteristics of many different complex networks.…

Social and Information Networks · Computer Science 2014-06-23 Matthieu Roy , Stefan Schmid , Gilles Trédan

Many real-world networks have high clustering among vertices: vertices that share neighbors are often also directly connected to each other. A network's clustering can be a useful indicator of its connectedness and community structure.…

Social and Information Networks · Computer Science 2018-04-12 Jeff Alstott , Christine Klymko , Pamela B. Pyzza , Mary Radcliffe

Complex networks are frequently employed to model physical or virtual complex systems. When certain entities exist across multiple systems simultaneously, unveiling their corresponding relationships across the networks becomes crucial. This…

Physics and Society · Physics 2025-04-16 Rui Tang , Ziyun Yong , Shuyu Jiang , Xingshu Chen , Yaofang Liu , Yi-Cheng Zhang , Gui-Quan Sun , Wei Wang

Recent results from statistical physics show that large classes of complex networks, both man-made and of natural origin, are characterized by high clustering properties yet strikingly short path lengths between pairs of nodes. This class…

Information Theory · Computer Science 2016-11-17 Rui A. Costa , Joao Barros