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Our problem of interest is to cluster vertices of a graph by identifying underlying community structure. Among various vertex clustering approaches, spectral clustering is one of the most popular methods because it is easy to implement…

Machine Learning · Statistics 2020-09-23 Congyuan Yang , Carey E. Priebe , Youngser Park , David J. Marchette

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

Annotation graphs and annotation servers offer infrastructure to support the analysis of human language resources in the form of time-series data such as text, audio and video. This paper outlines areas of common need among empirical…

Computation and Language · Computer Science 2007-05-23 Christopher Cieri , Steven Bird

Graph-based clustering methods have demonstrated the effectiveness in various applications. Generally, existing graph-based clustering methods first construct a graph to represent the input data and then partition it to generate the…

Machine Learning · Computer Science 2019-12-17 Yuheng Jia , Hui Liu , Junhui Hou , Sam Kwong

Recently, graphs have been widely used to represent many different kinds of real world data or observations such as social networks, protein-protein networks, road networks, and so on. In many cases, each node in a graph is associated with…

Social and Information Networks · Computer Science 2016-09-28 Jihwan Lee , Keehwan Park , Sunil Prabhakar

Traditionally, graph quality metrics focus on readability, but recent studies show the need for metrics which are more specific to the discovery of patterns in graphs. Cluster analysis is a popular task within graph analysis, yet there is…

Data Structures and Algorithms · Computer Science 2019-08-22 Amyra Meidiana , Seok-Hee Hong , Peter Eades , Daniel Keim

We propose a multi-phase approach to explore network structures. In this method, structure analysis is not carried out on the observed network directly. Instead, certain similarity measures of the nodes are derived from the network firstly,…

Physics and Society · Physics 2009-07-03 Xiaofeng Gong , Shuguang Guan , C. -H. Lai

Spectral clustering is sensitive to how graphs are constructed from data particularly when proximal and imbalanced clusters are present. We show that Ratio-Cut (RCut) or normalized cut (NCut) objectives are not tailored to imbalanced data…

Machine Learning · Statistics 2013-09-11 Jing Qian , Venkatesh Saligrama

Most machine learning and data analytics applications, including performance engineering in software systems, require a large number of annotations and labelled data, which might not be available in advance. Acquiring annotations often…

Software Engineering · Computer Science 2023-09-21 Peter Samoaa , Linus Aronsson , Antonio Longa , Philipp Leitner , Morteza Haghir Chehreghani

We introduce type annotations as a flexible typing mechanism for graph systems and discuss their advantages with respect to classical typing based on graph morphisms. In this approach the type system is incorporated with the graph and…

Software Engineering · Computer Science 2016-12-07 Paolo Bottoni , Andrew Fish , Francesco Parisi Presicce

The present paper is devoted to clustering geometric graphs. While the standard spectral clustering is often not effective for geometric graphs, we present an effective generalization, which we call higher-order spectral clustering. It…

Machine Learning · Computer Science 2021-03-16 Konstantin Avrachenkov , Andrei Bobu , Maximilien Dreveton

A panoply of multi-view clustering algorithms has been developed to deal with prevalent multi-view data. Among them, spectral clustering-based methods have drawn much attention and demonstrated promising results recently. Despite progress,…

Machine Learning · Computer Science 2019-09-17 Zhao Kang , Guoxin Shi , Shudong Huang , Wenyu Chen , Xiaorong Pu , Joey Tianyi Zhou , Zenglin Xu

Higher-order connectivity patterns such as small induced sub-graphs called graphlets (network motifs) are vital to understand the important components (modules/functional units) governing the configuration and behavior of complex networks.…

Social and Information Networks · Computer Science 2020-09-15 Aldo G. Carranza , Ryan A. Rossi , Anup Rao , Eunyee Koh

We introduce a principled and theoretically sound spectral method for $k$-way clustering in signed graphs, where the affinity measure between nodes takes either positive or negative values. Our approach is motivated by social balance…

Machine Learning · Statistics 2019-05-21 Mihai Cucuringu , Peter Davies , Aldo Glielmo , Hemant Tyagi

Vector space representations of words capture many aspects of word similarity, but such methods tend to make vector spaces in which antonyms (as well as synonyms) are close to each other. We present a new signed spectral normalized graph…

Computation and Language · Computer Science 2016-01-21 João Sedoc , Jean Gallier , Lyle Ungar , Dean Foster

Adaptive networks model social, physical, technical, or biological systems as attributed graphs evolving at the level of both their topology and data. They are naturally described by graph transformation, but the majority of authors take an…

Discrete Mathematics · Computer Science 2021-12-22 Nicolas Behr , Bello Shehu Bello , Sebastian Ehmes , Reiko Heckel

Graph clustering is essential in graph analysis for revealing structural patterns and node communities. Despite recent advances in self-supervised contrastive learning that have improved clustering via structural and attribute signals,…

Machine Learning · Computer Science 2026-05-28 Lei Zhang , Fubo Sun , Haipeng Yang , Zhong Guan , Likang Wu

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

Generating scene graph to describe all the relations inside an image gains increasing interests these years. However, most of the previous methods use complicated structures with slow inference speed or rely on the external data, which…

Computer Vision and Pattern Recognition · Computer Science 2018-08-28 Yikang Li , Wanli Ouyang , Bolei Zhou , Jianping Shi , Chao Zhang , Xiaogang Wang

We present a means of formulating and solving graph coloring problems with probabilistic graphical models. In contrast to the prevalent literature that uses factor graphs for this purpose, we instead approach it from a cluster graph…

Machine Learning · Computer Science 2021-10-06 Simon Streicher , Johan du Preez
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