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Graph clustering involves the task of dividing nodes into clusters, so that the edge density is higher within clusters as opposed to across clusters. A natural, classic and popular statistical setting for evaluating solutions to this…

机器学习 · 统计学 2016-11-17 Yudong Chen , Sujay Sanghavi , Huan Xu

Recent studies successfully learned static graph embeddings that are structurally fair by preventing the effectiveness disparity of high- and low-degree vertex groups in downstream graph mining tasks. However, achieving structure fairness…

机器学习 · 计算机科学 2024-06-21 Yicong Li , Yu Yang , Jiannong Cao , Shuaiqi Liu , Haoran Tang , Guandong Xu

Graph-based subspace clustering methods have exhibited promising performance. However, they still suffer some of these drawbacks: encounter the expensive time overhead, fail in exploring the explicit clusters, and cannot generalize to…

机器学习 · 计算机科学 2021-02-23 Zhao Kang , Zhiping Lin , Xiaofeng Zhu , Wenbo Xu

Graph clustering is a fundamental technique in data analysis with applications in many different fields. While there is a large body of work on clustering undirected graphs, the problem of clustering directed graphs is much less understood.…

物理与社会 · 物理学 2025-01-31 James Martin , Tim Rogers , Luca Zanetti

Mixture model-based frameworks are very popular for statistical inference in clustering. While convenient for producing probabilistic estimates of cluster assignments and uncertainty, they are prone to misspecification, which can lead to…

统计理论 · 数学 2026-05-15 Yu Zheng , Leo L. Duan , Arkaprava Roy

Processing large complex networks like social networks or web graphs has recently attracted considerable interest. In order to do this in parallel, we need to partition them into pieces of about equal size. Unfortunately, previous parallel…

分布式、并行与集群计算 · 计算机科学 2015-01-27 Henning Meyerhenke , Peter Sanders , Christian Schulz

Graphs naturally appear in several real-world contexts including social networks, the web network, and telecommunication networks. While the analysis and the understanding of graph structures have been a central area of study in algorithm…

数据结构与算法 · 计算机科学 2019-09-17 Gramoz Goranci

Clustering algorithms are widely utilized for many modern data science applications. This motivates the need to make outputs of clustering algorithms fair. Traditionally, new fair algorithmic variants to clustering algorithms are developed…

机器学习 · 计算机科学 2021-10-26 Anshuman Chhabra , Adish Singla , Prasant Mohapatra

We study fair clustering problems as proposed by Chierichetti et al. (NIPS 2017). Here, points have a sensitive attribute and all clusters in the solution are required to be balanced with respect to it (to counteract any form of…

数据结构与算法 · 计算机科学 2021-03-10 Melanie Schmidt , Chris Schwiegelshohn , Christian Sohler

Graph Neural Networks (GNNs) have achieved remarkable success across diverse applications. However, due to the biases in the graph structures, graph neural networks face significant challenges in fairness. Although the original user graph…

机器学习 · 计算机科学 2025-11-04 Jiahua Lu , Huaxiao Liu , Shuotong Bai , Junjie Xu , Renqiang Luo , Enyan Dai

Current modularity-based community detection algorithms attempt to find cluster memberships that maximize modularity within a fixed graph topology. Diverging from this conventional approach, our work introduces a novel strategy that employs…

数据分析、统计与概率 · 物理学 2024-02-27 Yongyu Wang , Shiqi Hao , Xiaoyang Wang , Xiaotian Zhuang

In a recent work, [19] studied the following "fair" variants of classical clustering problems such as $k$-means and $k$-median: given a set of $n$ data points in $\mathbb{R}^d$ and a binary type associated to each data point, the goal is to…

数据结构与算法 · 计算机科学 2019-12-18 Lingxiao Huang , Shaofeng H. -C. Jiang , Nisheeth K. Vishnoi

Important data mining problems such as nearest-neighbor search and clustering admit theoretical guarantees when restricted to objects embedded in a metric space. Graphs are ubiquitous, and clustering and classification over graphs arise in…

组合数学 · 数学 2018-01-16 Jose Bento , Stratis Ioannidis

This article explores and analyzes the unsupervised clustering of large partially observed graphs. We propose a scalable and provable randomized framework for clustering graphs generated from the stochastic block model. The clustering is…

社会与信息网络 · 计算机科学 2022-12-06 Mostafa Rahmani , Andre Beckus , Adel Karimian , George Atia

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…

机器学习 · 计算机科学 2025-09-11 Wen-Bo Xie , Xun Fu , Bin Chen , Yan-Li Lee , Tao Deng , Tian Zou , Xin Wang , Zhen Liu , Jaideep Srivastavad

We study the problem of finding low-cost Fair Clusterings in data where each data point may belong to many protected groups. Our work significantly generalizes the seminal work of Chierichetti et.al. (NIPS 2017) as follows. - We allow the…

数据结构与算法 · 计算机科学 2019-06-18 Suman K. Bera , Deeparnab Chakrabarty , Nicolas J. Flores , Maryam Negahbani

In this article, we advance divide-and-conquer strategies for solving the community detection problem in networks. We propose two algorithms which perform clustering on a number of small subgraphs and finally patches the results into a…

机器学习 · 统计学 2017-08-21 Soumendu Sundar Mukherjee , Purnamrita Sarkar , Peter J. Bickel

In this paper, we initiate the study of fair clustering that ensures distributional similarity among similar individuals. In response to improving fairness in machine learning, recent papers have investigated fairness in clustering…

机器学习 · 计算机科学 2020-06-24 Nihesh Anderson , Suman K. Bera , Syamantak Das , Yang Liu

Matching problems with group-fairness constraints and diversity constraints have numerous applications such as in allocation problems, committee selection, school choice, etc. Moreover, online matching problems have lots of applications in…

数据结构与算法 · 计算机科学 2023-08-04 Anand Louis , Meghana Nasre , Prajakta Nimbhorkar , Govind S. Sankar

Conductance-based graph clustering has been recognized as a fundamental operator in numerous graph analysis applications. Despite the significant success of conductance-based graph clustering, existing algorithms are either hard to obtain…

数据结构与算法 · 计算机科学 2022-11-24 Longlong Lin , Rong-Hua Li , Tao Jia