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An added edge to a graph is called an inset edge. Predicting k inset edges which minimize the average distance of a graph is known to be NP-Hard. When k = 1 the complexity of the problem is polynomial. In this paper, we further find the…

Data Structures and Algorithms · Computer Science 2020-08-14 M. H. Khalifeh , A. -H. Esfahanian

The undirected technique for evaluating belief networks [Jensen, et.al., 1990, Lauritzen and Spiegelhalter, 1988] requires clustering the nodes in the network into a junction tree. In the traditional view, the junction tree is constructed…

Artificial Intelligence · Computer Science 2013-02-21 Denise L. Draper

Finding dense substructures in a graph is a fundamental graph mining operation, with applications in bioinformatics, social networks, and visualization to name a few. Yet most standard formulations of this problem (like clique, quasiclique,…

Social and Information Networks · Computer Science 2015-03-10 Ahmet Erdem Sariyuce , C. Seshadhri , Ali Pinar , Umit V. Catalyurek

An added edge to a graph is called an inset edge. Predicting k inset edges which minimize the average distance of a graph is known to be NP-Hard. However, when k = 1 the complexity of the problem is polynomial. In this paper, some tools for…

Computational Complexity · Computer Science 2020-08-14 M. H. Khalifeh , A. -H. Esfahanian

We present an instance segmentation scheme based on pixel affinity information, which is the relationship of two pixels belonging to a same instance. In our scheme, we use two neural networks with similar structure. One is to predict pixel…

Computer Vision and Pattern Recognition · Computer Science 2018-11-28 Yiding Liu , Siyu Yang , Bin Li , Wengang Zhou , Jizheng Xu , Houqiang Li , Yan Lu

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

The Cluster Editing problem seeks a transformation of a given undirected graph into a disjoint union of cliques via a minimum number of edge additions or deletions. A multi-parameterized version of the problem is studied, featuring a number…

Data Structures and Algorithms · Computer Science 2015-12-01 Faisal N. Abu-Khzam

The modern science of networks has brought significant advances to our understanding of complex systems. One of the most relevant features of graphs representing real systems is community structure, or clustering, i. e. the organization of…

Physics and Society · Physics 2010-09-17 Santo Fortunato

The goal of clustering is to group similar objects into meaningful partitions. This process is well understood when an explicit similarity measure between the objects is given. However, far less is known when this information is not readily…

Machine Learning · Computer Science 2020-10-12 Michaël Perrot , Pascal Mattia Esser , Debarghya Ghoshdastidar

This work presents an unsupervised deep discriminant analysis for clustering. The method is based on deep neural networks and aims to minimize the intra-cluster discrepancy and maximize the inter-cluster discrepancy in an unsupervised…

Machine Learning · Computer Science 2022-06-13 Jinyu Cai , Wenzhong Guo , Jicong Fan

Radar signals have been dramatically increasing in complexity, limiting the source separation ability of traditional approaches. In this paper we propose a Deep Learning-based clustering method, which encodes concurrent signals into images,…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Stefano Gasperini , Magdalini Paschali , Carsten Hopke , David Wittmann , Nassir Navab

We investigate the problem of nodes clustering under privacy constraints when representing a dataset as a graph. Our contribution is threefold. First we formally define the concept of differential privacy for structured databases such as…

Cryptography and Security · Computer Science 2018-01-22 Rafael Pinot

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 road network…

Machine Learning · Computer Science 2013-10-22 Mohamed Khalil El Mahrsi , Fabrice Rossi

We represent the further development of S-tree technique of the study the structure of clusters of galaxies. The S-tree technique developed by Gurzadyan et al enables one to analyse the substructures of clusters via self-consistent use of…

Astrophysics · Physics 2007-05-23 K. M. Bekarian , A. A. Melkonian

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

Attributed graph clustering is challenging as it requires joint modelling of graph structures and node attributes. Recent progress on graph convolutional networks has proved that graph convolution is effective in combining structural and…

Machine Learning · Computer Science 2019-06-05 Xiaotong Zhang , Han Liu , Qimai Li , Xiao-Ming Wu

This paper proposes and analyzes a novel clustering algorithm that combines graph-based diffusion geometry with techniques based on density and mode estimation. The proposed method is suitable for data generated from mixtures of…

Machine Learning · Statistics 2019-01-01 Mauro Maggioni , James M. Murphy

Several methods have been proposed to estimate the number of clusters in a dataset; the basic ideal behind all of them has been to study an index that measures inter-cluster separation and intra-cluster cohesion over a range of cluster…

Computer Vision and Pattern Recognition · Computer Science 2016-01-12 Bhaskar Mukhoty , Ruchir Gupta , Y. N. Singh

Clustering analysis identifies samples as groups based on either their mutual closeness or homogeneity. In order to detect clusters in arbitrary shapes, a novel and generic solution based on boundary erosion is proposed. The clusters are…

Computer Vision and Pattern Recognition · Computer Science 2018-04-16 Cheng-Hao Deng , Wan-Lei Zhao

Spectral clustering is one of the most prominent clustering approaches. The distance-based similarity is the most widely used method for spectral clustering. However, people have already noticed that this is not suitable for multi-scale…

Machine Learning · Computer Science 2020-09-11 Hengrui Wang , Yubo Zhang , Mingzhi Chen , Tong Yang
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