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Fairness of decision-making algorithms is an increasingly important issue. In this paper, we focus on spectral clustering with group fairness constraints, where every demographic group is represented in each cluster proportionally as in the…

机器学习 · 计算机科学 2025-06-11 Francesco Tonin , Alex Lambert , Johan A. K. Suykens , Volkan Cevher

Approximate message passing (AMP) refers to a class of efficient algorithms for statistical estimation in high-dimensional problems such as compressed sensing and low-rank matrix estimation. This paper analyzes the performance of AMP in the…

信息论 · 计算机科学 2018-10-23 Cynthia Rush , Ramji Venkataramanan

We propose two probability-like measures of individual cluster-membership certainty which can be applied to a hard partition of the sample such as that obtained from the Partitioning Around Medoids (PAM) algorithm, hierarchical clustering…

应用统计 · 统计学 2018-01-23 Dongmeng Liu , Jinko Graham

In this paper we present a novel iterative multiphase clustering technique for efficiently clustering high dimensional data points. For this purpose we implement clustering feature (CF) tree on a real data set and a Gaussian density…

机器学习 · 计算机科学 2014-11-13 Chandrima Sarkar , Atanu Roy

Spectral clustering is a widely studied problem, yet its complexity is prohibitive for dynamic graphs of even modest size. We claim that it is possible to reuse information of past cluster assignments to expedite computation. Our approach…

机器学习 · 统计学 2017-06-13 Lionel Martin , Andreas Loukas , Pierre Vandergheynst

We study goodness-of-fit of discrete distributions in the distributed setting, where samples are divided between multiple users who can only release a limited amount of information about their samples due to various information constraints.…

数据结构与算法 · 计算机科学 2019-07-23 Jayadev Acharya , Clément L. Canonne , Yanjun Han , Ziteng Sun , Himanshu Tyagi

As a result of the recent popularity of social networks and the increase in the number of research papers published across all fields, attributed networks consisting of relationships between objects, such as humans and the papers, that have…

社会与信息网络 · 计算机科学 2020-10-15 Yuta Yajima , Akihiro Inokuchi

Graph clustering is a fundamental task in network analysis where the goal is to detect sets of nodes that are well-connected to each other but sparsely connected to the rest of the graph. We present faster approximation algorithms for an…

数据结构与算法 · 计算机科学 2023-06-09 Vedangi Bengali , Nate Veldt

Creating low dimensional representations of a high dimensional data set is an important component in many machine learning applications. How to cluster data using their low dimensional embedded space is still a challenging problem in…

机器学习 · 计算机科学 2023-03-27 Zahra Moslehi , Abdolreza Mirzaei , Mehran Safayani

Spectral clustering requires the time-consuming decomposition of the Laplacian matrix of the similarity graph, thus limiting its applicability to large datasets. To improve the efficiency of spectral clustering, a top-down approach was…

机器学习 · 计算机科学 2024-12-19 Zhichang Xu , Zhiguo Long , Hua Meng

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…

机器学习 · 计算机科学 2022-07-08 Naoki Masuyama , Narito Amako , Yuna Yamada , Yusuke Nojima , Hisao Ishibuchi

High-dimensional clustering analysis is a challenging problem in statistics and machine learning, with broad applications such as the analysis of microarray data and RNA-seq data. In this paper, we propose a new clustering procedure called…

统计方法学 · 统计学 2022-10-31 Tianqi Liu , Yu Lu , Biqing Zhu , Hongyu Zhao

Motivated by applications in social and biological network analysis, we introduce a new form of agnostic clustering termed~\emph{motif correlation clustering}, which aims to minimize the cost of clustering errors associated with both edges…

数据结构与算法 · 计算机科学 2018-11-07 Pan Li , Gregory J. Puleo , Olgica Milenkovic

Clustering techniques attempt to group objects with similar properties into a cluster. Clustering the nodes of an attributed graph, in which each node is associated with a set of feature attributes, has attracted significant attention.…

计算机视觉与模式识别 · 计算机科学 2020-09-15 Chaojie Ji , Hongwei Chen , Ruxin Wang , Yunpeng Cai , Hongyan Wu

Microarrays are made it possible to simultaneously monitor the expression profiles of thousands of genes under various experimental conditions. Identification of co-expressed genes and coherent patterns is the central goal in microarray or…

计算工程、金融与科学 · 计算机科学 2013-07-15 T. Chandrasekhar , K. Thangavel , E. Elayaraja , E. N. Sathishkumar

The paper has been withdrawn since more effective experiments should be completed. Auto-encoders (AE) has been widely applied in different fields of machine learning. However, as a deep model, there are a large amount of learnable…

机器学习 · 计算机科学 2017-03-14 Zihao Wang , Yiuming Cheung

While traditional research on text clustering has largely focused on grouping documents by topic, it is conceivable that a user may want to cluster documents along other dimensions, such as the authors mood, gender, age, or sentiment.…

信息检索 · 计算机科学 2014-01-22 Sajib Dasgupta , Vincent Ng

Clustering, a fundamental activity in unsupervised learning, is notoriously difficult when the feature space is high-dimensional. Fortunately, in many realistic scenarios, only a handful of features are relevant in distinguishing clusters.…

机器学习 · 统计学 2020-10-23 Zhiyue Zhang , Kenneth Lange , Jason Xu

Well-spread samples are desirable in many disciplines because they improve estimation when target variables exhibit spatial structure. This paper introduces an integrated methodological framework for spreading samples over the population's…

统计方法学 · 统计学 2025-10-29 Bardia Panahbehagh , Mehdi Mohebbi , Amir Mohammad HosseiniNasab

Managing radio spectrum resources is a crucial issue. The frequency assignment problem (FAP) basically aims to allocate, in an efficient manner, limited number of frequencies to communication links. Geographically close links, however,…

网络与互联网体系结构 · 计算机科学 2016-05-17 H. Birkan Yilmaz , Bon-Hong Koo , Sung-Ho Park , Hwi-Sung Park , Jae-Hyun Ham , Chan-Byoung Chae