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Graphs are commonly used to represent and visualize causal relations. For a small number of variables, this approach provides a succinct and clear view of the scenario at hand. As the number of variables under study increases, the graphical…

机器学习 · 统计学 2023-08-16 Santtu Tikka , Jouni Helske , Juha Karvanen

A computational theory for clustering and a semi-supervised clustering algorithm is presented. Clustering is defined to be the obtainment of groupings of data such that each group contains no anomalies with respect to a chosen grouping…

机器学习 · 计算机科学 2025-07-17 Nassir Mohammad

We develop a full theoretical approach to clustering in complex networks. A key concept is introduced, the edge multiplicity, that measures the number of triangles passing through an edge. This quantity extends the clustering coefficient in…

无序系统与神经网络 · 物理学 2009-11-11 M. Angeles Serrano , Marian Boguna

In this work we introduce two novel deterministic annealing based clustering algorithms to address the problem of Edge Controller Placement (ECP) in wireless edge networks. These networks lie at the core of the fifth generation (5G)…

机器学习 · 计算机科学 2019-12-09 Reza Soleymanifar , Amber Srivastava , Carolyn Beck , Srinivasa Salapaka

The clustering of a data set is one of the core tasks in data analytics. Many clustering algorithms exhibit a strong contrast between a favorable performance in practice and bad theoretical worst-cases. Prime examples are least-squares…

最优化与控制 · 数学 2018-09-05 S. Borgwardt , F. Happach

Face recognition sees remarkable progress in recent years, and its performance has reached a very high level. Taking it to a next level requires substantially larger data, which would involve prohibitive annotation cost. Hence, exploiting…

计算机视觉与模式识别 · 计算机科学 2019-05-07 Lei Yang , Xiaohang Zhan , Dapeng Chen , Junjie Yan , Chen Change Loy , Dahua Lin

Clustering is a fundamental task in network analysis, essential for uncovering hidden structures within complex systems. Edge clustering, which focuses on relationships between nodes rather than the nodes themselves, has gained increased…

统计计算 · 统计学 2025-07-14 Haomin Li , Daniel K. Sewell

Graph clustering aims to partition nodes into distinct clusters based on their similarity, thereby revealing relationships among nodes. Nevertheless, most existing methods do not fully utilize these edge weights. Leveraging edge weights in…

机器学习 · 计算机科学 2026-02-03 Haobing Liu , Yinuo Zhang , Tingting Wang , Ruobing Jiang , Yanwei Yu

Clustering is an unsupervised learning problem that aims to partition unlabelled data points into groups with similar features. Traditional clustering algorithms provide limited insight into the groups they find as their main focus is…

机器学习 · 计算机科学 2022-10-18 Connor Lawless , Oktay Gunluk

Finding a good clustering of vertices in a network, where vertices in the same cluster are more tightly connected than those in different clusters, is a useful, important, and well-studied task. Many clustering algorithms scale well,…

社会与信息网络 · 计算机科学 2011-10-18 Thomas DuBois , Jennifer Golbeck , Aravind Srinivasan

Clustering is a fundamental learning task widely used as a first step in data analysis. For example, biologists use cluster assignments to analyze genome sequences, medical records, or images. Since downstream analysis is typically…

机器学习 · 计算机科学 2024-06-11 Jonathan Svirsky , Ofir Lindenbaum

Many complex systems in the real world can be characterized by attributed networks. To mine the potential information in these networks, deep embedded clustering, which obtains node representations and clusters simultaneously, has been paid…

机器学习 · 计算机科学 2022-05-31 Yimei Zheng , Caiyan Jia , Jian Yu , Xuanya Li

Clustering is a popular machine learning technique for data mining that can process and analyze datasets to automatically reveal sample distribution patterns. Since the ubiquitous categorical data naturally lack a well-defined metric space…

机器学习 · 计算机科学 2025-09-01 Yiqun Zhang , Mingjie Zhao , Hong Jia , Yang Lu , Mengke Li , Yiu-ming Cheung

Algorithms for clustering points in metric spaces is a long-studied area of research. Clustering has seen a multitude of work both theoretically, in understanding the approximation guarantees possible for many objective functions such as…

数据结构与算法 · 计算机科学 2019-05-27 Maria-Florina Balcan , Travis Dick , Colin White

We study clustering on graphs with multiple edge types. Our main motivation is that similarities between objects can be measured in many different metrics. For instance similarity between two papers can be based on common authors, where…

社会与信息网络 · 计算机科学 2011-09-09 Matthew Rocklin , Ali Pinar

Network clustering reveals the organization of a network or corresponding complex system with elements represented as vertices and interactions as edges in a (directed, weighted) graph. Although the notion of clustering can be somewhat…

机器学习 · 统计学 2017-11-15 Yongjin Park , Joel S. Bader

Operator learning is reshaping scientific computing by amortizing inference across infinite families of problems. While neural operators (NOs) are increasingly well understood for regression, far less is known for classification and its…

Clustering is one of the fundamental tasks in computer vision and pattern recognition. Recently, deep clustering methods (algorithms based on deep learning) have attracted wide attention with their impressive performance. Most of these…

计算机视觉与模式识别 · 计算机科学 2021-06-14 Yanhai Gan , Xinghui Dong , Huiyu Zhou , Feng Gao , Junyu Dong

This paper presents a neural network-based end-to-end clustering framework. We design a novel strategy to utilize the contrastive criteria for pushing data-forming clusters directly from raw data, in addition to learning a feature embedding…

机器学习 · 计算机科学 2016-04-27 Yen-Chang Hsu , Zsolt Kira

Recent work on deep clustering has found new promising methods also for constrained clustering problems. Their typically pairwise constraints often can be used to guide the partitioning of the data. Many problems however, feature…

机器学习 · 计算机科学 2023-05-22 Jonas K. Falkner , Lars Schmidt-Thieme