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Precise analysis of nanoparticles for characterization in electron microscopy images is essential for advancing nanomaterial development. Yet it remains challenging due to the time-consuming nature of manual methods and the shortcomings of…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Anindya Pal , Varun Ajith , Saumik Bhattacharya , Sayantari Ghosh

This work describes how the formalization of complex network concepts in terms of discrete mathematics, especially mathematical morphology, allows a series of generalizations and important results ranging from new measurements of the…

Statistical Mechanics · Physics 2007-09-19 Luciano da Fontoura Costa , Luis Enrique C. da Rocha

It appeared recently that the classical random graph model used to represent real-world complex networks does not capture their main properties. Since then, various attempts have been made to provide accurate models. We study here a model…

Statistical Mechanics · Physics 2021-03-22 Jean-Loup Guillaume , Matthieu Latapy

A complex network is a condensed representation of the relational topological framework of a complex system. A main reason for the existence of such networks is the transmission of items through the entities of these complex systems. Here,…

Physics and Society · Physics 2018-04-18 María Pereda , Ernesto Estrada

This work considers clustering nodes of a largely incomplete graph. Under the problem setting, only a small amount of queries about the edges can be made, but the entire graph is not observable. This problem finds applications in…

Machine Learning · Computer Science 2021-10-04 Shahana Ibrahim , Xiao Fu

Classifying large scale networks into several categories and distinguishing them according to their fine structures is of great importance with several applications in real life. However, most studies of complex networks focus on properties…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Ruyue Xin , Jiang Zhang , Yitong Shao

Particle competition and cooperation (PCC) is a graph-based semi-supervised learning approach. When PCC is applied to interactive image segmentation tasks, pixels are converted into network nodes, and each node is connected to its k-nearest…

Computer Vision and Pattern Recognition · Computer Science 2020-02-17 Fabricio Breve

A wide range of complex systems can be modeled as networks with corresponding constraints on the edges and nodes, which have been extensively studied in recent years. Nowadays, with the progress of information technology, systems that…

Physics and Society · Physics 2016-05-24 Han Zhang , Chang-Dong Wang , Jian-Huang Lai , Philip S. Yu

Complex networks, modeled as large graphs, received much attention during these last years. However, data on such networks is only available through intricate measurement procedures. Until recently, most studies assumed that these…

Networking and Internet Architecture · Computer Science 2007-05-23 Matthieu Latapy , Clemence Magnien

Each complex network (or class of networks) presents specific topological features which characterize its connectivity and highly influence the dynamics of processes executed on the network. The analysis, discrimination, and synthesis of…

Disordered Systems and Neural Networks · Physics 2009-09-29 Luciano da F. Costa , Francisco A. Rodrigues , Gonzalo Travieso , P. R. Villas Boas

Complex networks can be understood as graphs whose connectivity deviates from those of regular or near-regular graphs, which are understood as being `simple'. While a great deal of the attention so far dedicated to complex networks has been…

Data Analysis, Statistics and Probability · Physics 2008-08-29 Luciano da Fontoura Costa , Francisco A. Rodrigues

Bipartite networks manifest as a stream of edges that represent transactions, e.g., purchases by retail customers. Many machine learning applications employ neighborhood-based measures to characterize the similarity among the nodes, such as…

Social and Information Networks · Computer Science 2018-05-09 Nesreen K. Ahmed , Nick Duffield , Liangzhen Xia

The increasing interest in complex networks research has been a consequence of several intrinsic features of this area, such as the generality of the approach to represent and model virtually any discrete system, and the incorporation of…

Agglomeration techniques can be successfully employed to reduce the computational costs of numerical simulations and stand at the basis of multilevel algebraic solvers. To automatically perform mesh agglomeration, we propose a novel…

Numerical Analysis · Mathematics 2025-08-08 Paola F. Antonietti , Mattia Corti , Gabriele Martinelli

In this article, we introduce a novel geometrical index $\delta_{agg}$, which is associated with the Euler number and is obtained by an image processing procedure for a given digital picture of aggregated particles such that $\delta_{agg}$…

Computational Engineering, Finance, and Science · Computer Science 2013-07-05 Shigeki Matsutani , Yoshiyuki Shimosako

Superpixels have become very popular in many computer vision applications. Nevertheless, they remain underexploited since the superpixel decomposition may produce irregular and non stable segmentation results due to the dependency to the…

Computer Vision and Pattern Recognition · Computer Science 2025-09-26 Rémi Giraud , Vinh-Thong Ta , Aurélie Bugeau , Pierrick Coupé , Nicolas Papadakis

A good deal of current research in complex networks involves the characterization and/or classification of the topological properties of given structures, which has motivated several respective measurements. This letter proposes a framework…

Physics and Society · Physics 2016-07-26 Cesar H. Comin , Filipi N. Silva , Luciano da F. Costa

Many systems in nature, society and technology can be described as networks, where the vertices are the system's elements and edges between vertices indicate the interactions between the corresponding elements. Edges may be weighted if the…

Physics and Society · Physics 2011-04-18 Filippo Radicchi , José J. Ramasco , Santo Fortunato

In this work we explore the possibility of applying machine learning methods designed for one-dimensional problems to the task of galaxy image classification. The algorithms used for image classification typically rely on multiple costly…

Astrophysics of Galaxies · Physics 2022-02-23 F. Tarsitano , C. Bruderer , K. Schawinski , W. G. Hartley

We introduce a novel edge tracing algorithm using Gaussian process regression. Our edge-based segmentation algorithm models an edge of interest using Gaussian process regression and iteratively searches the image for edge pixels in a…

Computer Vision and Pattern Recognition · Computer Science 2021-12-15 Jamie Burke , Stuart King