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Two natural and widely used representations for the community structure of networks are clusterings, which partition the vertex set into disjoint subsets, and layouts, which assign the vertices to positions in a metric space. This paper…

Discrete Mathematics · Computer Science 2009-02-06 Andreas Noack

It has been hypothesized that some form of "modular" structure in artificial neural networks should be useful for learning, compositionality, and generalization. However, defining and quantifying modularity remains an open problem. We cast…

Machine Learning · Computer Science 2022-06-23 Richard D. Lange , David S. Rolnick , Konrad P. Kording

Human mobility clustering is an important problem for understanding human mobility behaviors (e.g., work and school commutes). Existing methods typically contain two steps: choosing or learning a mobility representation and applying a…

Machine Learning · Computer Science 2023-01-23 Haoji Hu , Haowen Lin , Yao-Yi Chiang

We have proposed a model based upon flocking on a complex network, and then developed two clustering algorithms on the basis of it. In the algorithms, firstly a \textit{k}-nearest neighbor (knn) graph as a weighted and directed graph is…

Machine Learning · Computer Science 2008-12-31 Qiang Li , Yan He , Jing-ping Jiang

Community detection has attracted increasing attention during the past decade, and many algorithms have been proposed to find the underlying community structure in a given network. Many of these algorithms are based on modularity…

Optimization and Control · Mathematics 2015-01-27 Necdet Serhat Aybat , Sahar Zarmehri , Soundar Kumara

Clustering is one of the most common unsupervised learning tasks in machine learning and data mining. Clustering algorithms have been used in a plethora of applications across several scientific fields. However, there has been limited…

Machine Learning · Computer Science 2017-02-09 Quang N. Tran , Ba-Ngu Vo , Dinh Phung , Ba-Tuong Vo

This paper considers networks where relationships between nodes are represented by directed dissimilarities. The goal is to study methods that, based on the dissimilarity structure, output hierarchical clusters, i.e., a family of nested…

Machine Learning · Computer Science 2016-07-22 Gunnar Carlsson , Facundo Mémoli , Alejandro Ribeiro , Santiago Segarra

Link prediction problem has increasingly become prominent in many domains such as social network analyses, bioinformatics experiments, transportation networks, criminal investigations and so forth. A variety of techniques has been developed…

Artificial Intelligence · Computer Science 2023-05-18 Safiye Ghasemi , Amin Zarei

Clustering is a fundamental analysis tool aiming at classifying data points into groups based on their similarity or distance. It has found successful applications in all natural and social sciences, including biology, physics, economics,…

Information Retrieval · Computer Science 2021-02-24 Wen-Bo Xie , Yan-Li Lee , Cong Wang , Duan-Bing Chen , Tao Zhou

Even though clustering trajectory data attracted considerable attention in the last few years, most of prior work assumed that moving objects can move freely in an euclidean space and did not consider the eventual presence of an underlying…

Machine Learning · Computer Science 2012-10-04 Mohamed Khalil El Mahrsi , Fabrice Rossi

The structure of many complex networks includes edge directionality and weights on top of their topology. Network analysis that can seamlessly consider combination of these properties are desirable. In this paper, we study two important…

Social and Information Networks · Computer Science 2021-11-24 Frederique Oggier , Silivanxay Phetsouvanh , Anwitaman Datta

Link prediction is an open problem in the complex network, which attracts much research interest currently. However, little attention has been paid to the relation between network structure and the performance of prediction methods. In…

Social and Information Networks · Computer Science 2014-10-28 Xu Feng , Jichang Zhao , Ke Xu

Nonlinear subspace clustering based on a feed-forward neural network has been demonstrated to provide better clustering accuracy than some advanced subspace clustering algorithms. While this approach demonstrates impressive outcomes, it…

Machine Learning · Computer Science 2024-08-28 Long Shi , Lei Cao , Zhongpu Chen , Badong Chen , Yu Zhao

Community detection, which focuses on clustering nodes or detecting communities in (mostly) a single network, is a problem of considerable practical interest and has received a great deal of attention in the research community. While being…

Machine Learning · Statistics 2017-11-07 Soumendu Sundar Mukherjee , Purnamrita Sarkar , Lizhen Lin

Adversarial robustness has received increasing attention along with the study of adversarial examples. So far, existing works show that robust models not only obtain robustness against various adversarial attacks but also boost the…

Machine Learning · Computer Science 2021-11-29 Yang Bai , Xin Yan , Yong Jiang , Shu-Tao Xia , Yisen Wang

Network models provide a powerful and flexible framework for analyzing a wide range of structured data sources. In many situations of interest, however, multiple networks can be constructed to capture different aspects of an underlying…

Social and Information Networks · Computer Science 2021-11-03 Madeline Navarro , Genevera I. Allen , Michael Weylandt

Clustering is an essential technique for network analysis, with applications in a diverse range of fields. Although spectral clustering is a popular and effective method, it fails to consider higher-order structure and can perform poorly on…

Social and Information Networks · Computer Science 2020-09-14 William George Underwood , Andrew Elliott , Mihai Cucuringu

Distributed processing over networks relies on in-network processing and cooperation among neighboring agents. Cooperation is beneficial when agents share a common objective. However, in many applications agents may belong to different…

Optimization and Control · Mathematics 2023-07-19 Xiaochuan Zhao , Ali H. Sayed

Ensembles of coupled nonlinear oscillators are a popular paradigm and an ideal benchmark for analyzing complex collective behaviors. The onset of cluster synchronization is found to be at the core of various technological and biological…

Adaptation and Self-Organizing Systems · Physics 2024-03-29 Sayantan Nag Chowdhury , Md Sayeed Anwar , Dibakar Ghosh

Clustering is a fundamental problem in network analysis that finds closely connected groups of nodes and separates them from other nodes in the graph, while link prediction is to predict whether two nodes in a network are likely to have a…

Social and Information Networks · Computer Science 2022-11-29 Shanfan Zhang , Wenjiao Zhang , Zhan Bu
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