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Subspace clustering discovers the clusters embedded in multiple, overlapping subspaces of high dimensional data. Many significant subspace clustering algorithms exist, each having different characteristics caused by the use of different…

Databases · Computer Science 2013-04-15 Sunita Jahirabadkar , Parag Kulkarni

Hierarchical clustering is a fundamental unsupervised machine learning task with the aim of organizing data into a hierarchy of clusters. Many applications of hierarchical clustering involve sensitive user information, therefore motivating…

Data Structures and Algorithms · Computer Science 2025-04-23 Chengyuan Deng , Jie Gao , Jalaj Upadhyay , Chen Wang , Samson Zhou

Hierarchical clustering is a critical task in numerous domains. Many approaches are based on heuristics and the properties of the resulting clusterings are studied post hoc. However, in several applications, there is a natural cost function…

A scalable framework is developed to allocate radio resources across a large number of densely deployed small cells with given traffic statistics on a slow timescale. Joint user association and spectrum allocation is first formulated as a…

Information Theory · Computer Science 2017-01-13 Binnan Zhuang , Dongning Guo , Ermin Wei , Michael L. Honig

Hierarchical Clustering is a popular unsupervised machine learning method with decades of history and numerous applications. We initiate the study of differentially private approximation algorithms for hierarchical clustering under the…

Machine Learning · Computer Science 2023-05-25 Jacob Imola , Alessandro Epasto , Mohammad Mahdian , Vincent Cohen-Addad , Vahab Mirrokni

Bipartite graphs are widely used to model relationships between entities of different types, where nodes are divided into two disjoint sets. Similarity search, a fundamental operation that retrieves nodes similar to a given query node,…

Data Structures and Algorithms · Computer Science 2025-12-15 Xi Ou , Longlong Lin , Zeli Wang , Pingpeng Yuan , Rong-Hua Li

Hierarchical clustering (HC) is an important data analysis technique in which the goal is to recursively partition a dataset into a tree-like structure while grouping together similar data points at each level of granularity. Unfortunately,…

Data Structures and Algorithms · Computer Science 2025-06-09 Vladimir Braverman , Jon C. Ergun , Chen Wang , Samson Zhou

In this paper, we propose a novel adaptive sieving (AS) technique and an enhanced AS (EAS) technique, which are solver independent and could accelerate optimization algorithms for solving large scale convex optimization problems with…

Optimization and Control · Mathematics 2021-08-18 Yancheng Yuan , Tsung-Hui Chang , Defeng Sun , Kim-Chuan Toh

We present \textit{CluProp}, a novel framework that reimagines varied-density clustering in high-dimensional spaces as a label propagation process over neighborhood graphs. Our approach formally bridges the gap between density-based…

Machine Learning · Computer Science 2026-05-04 Yingtao Zheng , Hugo Phibbs , Ninh Pham

Subspace clustering refers to the problem of segmenting data drawn from a union of subspaces. State-of-the-art approaches for solving this problem follow a two-stage approach. In the first step, an affinity matrix is learned from the data…

Computer Vision and Pattern Recognition · Computer Science 2017-04-06 Chun-Guang Li , Chong You , René Vidal

Adaptive Resonance Theory (ART) is considered as an effective approach for realizing continual learning thanks to its ability to handle the plasticity-stability dilemma. In general, however, the clustering performance of ART-based…

Machine Learning · Computer Science 2022-07-08 Naoki Masuyama , Narito Amako , Yuna Yamada , Yusuke Nojima , Hisao Ishibuchi

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

Driven by the growth of Web-scale decentralized services, Federated Clustering (FC) aims to extract knowledge from heterogeneous clients in an unsupervised manner while preserving the clients' privacy, which has emerged as a significant…

Machine Learning · Computer Science 2026-01-13 Shenghong Cai , Zihua Yang , Yang Lu , Mengke Li , Yuzhu Ji , Yiqun Zhang , Yiu-Ming Cheung

Clustering a group of vertices in networks facilitates applications across different domains, such as social computing and Internet of Things. However, challenges arises for clustering networks with increased scale. This paper proposes a…

Social and Information Networks · Computer Science 2022-04-07 Feng Xia , Shuo Yu , Chengfei Liu , Ivan Lee

In this work, we focus on the efficiency and scalability of pairwise constraint-based active clustering, crucial for processing large-scale data in applications such as data mining, knowledge annotation, and AI model pre-training. Our goals…

Machine Learning · Computer Science 2025-09-11 Wen-Bo Xie , Xun Fu , Bin Chen , Yan-Li Lee , Tao Deng , Tian Zou , Xin Wang , Zhen Liu , Jaideep Srivastavad

Clustering algorithms remain valuable tools for grouping and summarizing the most important aspects of data. Example areas where this is the case include image segmentation, dimension reduction, signals analysis, model order reduction,…

Numerical Analysis · Mathematics 2024-12-24 Guy B. Oldaker , Maria Emelianenko

In this paper, we consider a class of constrained clustering problems of points in $\mathbb{R}^{d}$, where $d$ could be rather high. A common feature of these problems is that their optimal clusterings no longer have the locality property…

Computational Geometry · Computer Science 2018-10-03 Hu Ding , Jinhui Xu

Distributed statistical learning has become a popular technique for large-scale data analysis. Most existing work in this area focuses on dividing the observations, but we propose a new algorithm, DDAC-SpAM, which divides the features under…

Machine Learning · Computer Science 2023-07-11 Yifan He , Ruiyang Wu , Yong Zhou , Yang Feng

We are often interested in clustering objects that evolve over time and identifying solutions to the clustering problem for every time step. Evolutionary clustering provides insight into cluster evolution and temporal changes in cluster…

Machine Learning · Computer Science 2019-12-30 Natalia M. Arzeno , Haris Vikalo

An agglomerative hierarchical clustering (AHC) framework and algorithm named HOSil based on a new linkage metric optimized by the average silhouette width (ASW) index is proposed. A conscientious investigation of various clustering methods…

Methodology · Statistics 2019-09-30 Fatima Batool