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We propose a new anytime hierarchical clustering method that iteratively transforms an arbitrary initial hierarchy on the configuration of measurements along a sequence of trees we prove for a fixed data set must terminate in a chain of…

Machine Learning · Statistics 2014-04-15 Omur Arslan , Daniel E. Koditschek

Community detection plays a central role in uncovering meso scale structures in networks. However, existing methods often suffer from disconnected or weakly connected clusters, undermining interpretability and robustness. Well-Connected…

Social and Information Networks · Computer Science 2025-09-04 Mohammad Dindoost , Oliver Alvarado Rodriguez , Bartosz Bryg , Minhyuk Park , George Chacko , Tandy Warnow , David A. Bader

Modeling heterogeneity by extraction and exploitation of high-order information from heterogeneous information networks (HINs) has been attracting immense research attention in recent times. Such heterogeneous network embedding (HNE)…

Machine Learning · Computer Science 2022-01-11 Mubashir Imran , Hongzhi Yin , Tong Chen , Zi Huang , Kai Zheng

This research aims to develop a dynamic and scalable framework to facilitate harmonization of Common Data Elements (CDEs) across heterogeneous biomedical datasets by addressing challenges such as semantic heterogeneity, structural…

Information Retrieval · Computer Science 2025-06-04 Madan Krishnamurthy , Daniel Korn , Melissa A Haendel , Christopher J Mungall , Anne E Thessen

A network is a composition of many communities, i.e., sets of nodes and edges with stronger relationships, with distinct and overlapping properties. Community detection is crucial for various reasons, such as serving as a functional unit of…

Machine Learning · Computer Science 2021-01-19 Isa Inuwa-Dutse , Mark Liptrott , Yannis Korkontzelos

The characterization of network community structure has profound implications in several scientific areas. Therefore, testing the algorithms developed to establish the optimal division of a network into communities is a fundamental problem…

Physics and Society · Physics 2013-08-02 Rodrigo Aldecoa , Ignacio Marín

Hypergraphs, increasingly utilised for modelling complex and diverse relationships in modern networks, gain much attention representing intricate higher-order interactions. Among various challenges, cohesive subgraph discovery is one of the…

Social and Information Networks · Computer Science 2025-12-30 Song Kim , Dahee Kim , Taejoon Han , Junghoon Kim , Hyun Ji Jeong , Jungeun Kim

Heterogeneous and complex networks represent intertwined interactions between real-world elements or agents. Determining the multi-scale mesoscopic organization of clusters and intertwined structures is still a fundamental and open problem…

Physics and Society · Physics 2025-01-20 Pablo Villegas , Andrea Gabrielli , Anna Poggialini , Tommaso Gili

Structural Entropy (SE) measures the structural information contained in a graph. Minimizing or maximizing SE helps to reveal or obscure the intrinsic structural patterns underlying graphs in an interpretable manner, finding applications in…

Social and Information Networks · Computer Science 2024-05-14 Yuwei Cao , Hao Peng , Angsheng Li , Chenyu You , Zhifeng Hao , Philip S Yu

Conventional network data has largely focused on pairwise interactions between two entities, yet multi-way interactions among multiple entities have been frequently observed in real-life hypergraph networks. In this article, we propose a…

Machine Learning · Statistics 2021-09-06 Yaoming Zhen , Junhui Wang

Inspired by the human ability to learn and organize knowledge into hierarchical taxonomies with prototypes, this paper addresses key limitations in current deep hierarchical clustering methods. Existing methods often tie the structure to…

Computer Vision and Pattern Recognition · Computer Science 2025-10-01 Zekun Wang , Ethan Haarer , Tianyi Zhu , Zhiyi Dai , Christopher J. MacLellan

This paper characterizes hierarchical clustering methods that abide by two previously introduced axioms -- thus, denominated admissible methods -- and proposes tractable algorithms for their implementation. We leverage the fact that, for…

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

Subcode-ensemble decoders improve iterative decoding by running multiple decoders in parallel over carefully chosen subcodes, increasing the likelihood that at least one decoder avoids the dominant trapping structures. Achieving strong…

Information Theory · Computer Science 2026-02-10 Yubeen Jo , Geon Choi , Chanho Park , Namyoon Lee

Here, we introduce a new tool for community detection, a generator of networks, which uses parameters to control the structure of created networks. Typically, network scientists designing novel community detection algorithms use…

Social and Information Networks · Computer Science 2025-03-13 Brendan Cross , Boleslaw K. Szymanski

Understanding the structural complexity and predictability of complex networks is a central challenge in network science. Although recent studies have revealed a relationship between compression-based entropy and link prediction…

Social and Information Networks · Computer Science 2025-10-14 Sebastián Brzovic , Cristóbal Rojas , Andrés Abeliuk

Complex networks often exhibit community structure, with communities corresponding to denser subgraphs in which nodes are closely linked. When modelling systems where interactions extend beyond node pairs to arbitrary numbers of nodes,…

Physics and Society · Physics 2025-10-16 Bianka Kovács , Barnabás Benedek , Gergely Palla

The information contained in hierarchical topology, intrinsic to many networks, is currently underutilised. A novel architecture is explored which exploits this information through a multiscale decomposition. A dendrogram is produced by a…

Machine Learning · Computer Science 2020-06-24 Alex Lipov , Pietro Liò

Urban structure detection is a basic task in urban geography. Clustering is a core technology to detect the patterns of urban spatial structure, urban functional region, and so on. In big data era, diverse urban sensing datasets recording…

Social and Information Networks · Computer Science 2017-07-13 Xin Lin , Haifeng Li , Yan Zhang , Lei Gao , Ling Zhao , Min Deng

Semi-supervised clustering techniques have emerged as valuable tools for leveraging prior information in the form of constraints to improve the quality of clustering outcomes. Despite the proliferation of such methods, the ability to…

Machine Learning · Computer Science 2023-12-19 Guangjie Zeng , Hao Peng , Angsheng Li , Zhiwei Liu , Runze Yang , Chunyang Liu , Lifang He

Precisely quantifying the heterogeneity or disorder of a network system is very important and desired in studies of behavior and function of the network system. Although many degree-based entropies have been proposed to measure the…

Physics and Society · Physics 2008-10-09 Yanghua Xiao , Wentao Wu , Hui Wang , Momiao Xiong , Wei Wang