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Traditional k-means clustering underperforms on non-convex shapes and requires the number of clusters k to be specified in advance. We propose a simple geometric enhancement: after standard k-means, each cluster center is assigned a radius…

机器学习 · 计算机科学 2025-04-30 Stefan Kober

Federated learning (FL) scenarios inherently generate a large communication overhead by frequently transmitting neural network updates between clients and server. To minimize the communication cost, introducing sparsity in conjunction with…

The success of deep learning hinges on enormous data and large models, which require labor-intensive annotations and heavy computation costs. Subset selection is a fundamental problem that can play a key role in identifying smaller portions…

机器学习 · 计算机科学 2023-12-19 Srikumar Ramalingam , Pranjal Awasthi , Sanjiv Kumar

K-Means algorithm is a popular clustering method. However, it has two limitations: 1) it gets stuck easily in spurious local minima, and 2) the number of clusters k has to be given a priori. To solve these two issues, a multi-prototypes…

机器学习 · 计算机科学 2023-02-15 Dong Li , Shuisheng Zhou , Tieyong Zeng , Raymond H. Chan

As one type of efficient unsupervised learning methods, clustering algorithms have been widely used in data mining and knowledge discovery with noticeable advantages. However, clustering algorithms based on density peak have limited…

机器学习 · 计算机科学 2019-11-26 Jianguo Chen , Philip S. Yu

Clustering is an effective technique in data mining to generate groups that are the matter of interest. Among various clustering approaches, the family of k-means algorithms and min-cut algorithms gain most popularity due to their…

机器学习 · 计算机科学 2014-11-25 Xiaojun Chang , Feiping Nie , Zhigang Ma , Yi Yang

We propose a unified framework to speed up the existing stochastic matrix factorization (SMF) algorithms via variance reduction. Our framework is general and it subsumes several well-known SMF formulations in the literature. We perform a…

机器学习 · 统计学 2017-05-23 Renbo Zhao , William B. Haskell , Jiashi Feng

This paper presents a new statistical method for clustering step data, a popular form of health record data easily obtained from wearable devices. Since step data are high-dimensional and zero-inflated, classical methods such as K-means and…

统计方法学 · 统计学 2020-10-16 Wookyeong Song , Hee-Seok Oh , Yaeji Lim , Ying Kuen Cheung

Unsupervised feature selection has been always attracting research attention in the communities of machine learning and data mining for decades. In this paper, we propose an unsupervised feature selection method seeking a feature…

机器学习 · 计算机科学 2015-06-04 Sen Wang , Feiping Nie , Xiaojun Chang , Lina Yao , Xue Li , Quan Z. Sheng

In the most popular distributed stream processing frameworks (DSPFs), programs are modeled as a directed acyclic graph. This model allows a DSPF to benefit from the parallelism power of distributed clusters. However, choosing the proper…

分布式、并行与集群计算 · 计算机科学 2023-11-03 Hamid Nasiri , Saeed Nasehi , Arman Divband , Maziar Goudarzi

Clustering with fast algorithms large samples of high dimensional data is an important challenge in computational statistics. Borrowing ideas from MacQueen (1967) who introduced a sequential version of the $k$-means algorithm, a new class…

统计计算 · 统计学 2015-03-17 Hervé Cardot , Peggy Cénac , Jean-Marie Monnez

We propose a new fast algorithm optimized for full-wave electromagnetic (EM) scattering analysis of a large-scale cloud of chaffs with arbitrary orientation, spatial distribution, and length. By leveraging the unique EM scattering…

计算物理 · 物理学 2024-10-07 Chung Hyun Lee , Dong-Kook Kang , Kyoung Il Kwon , Kyung-Tae Kim , Dong-Yeop Na

Motivated by the increasing availability of low- and mixed-precision arithmetic on modern hardware, we develop mixed-precision variants of Lloyd's algorithm for k-means clustering. The main ingredient is a family of mixed-precision kernels…

数值分析 · 数学 2026-05-26 Erin Carson , Xinye Chen , Xiaobo Liu

Fair clustering is crucial for mitigating bias in unsupervised learning, yet existing algorithms often suffer from quadratic or super-quadratic computational complexity, rendering them impractical for large-scale datasets. To bridge this…

机器学习 · 计算机科学 2025-11-14 Shengfei Wei , Suyuan Liu , Jun Wang , Ke Liang , Miaomiao Li , Lei Luo

Spectral clustering is a powerful unsupervised machine learning algorithm for clustering data with non convex or nested structures. With roots in graph theory, it uses the spectral properties of the Laplacian matrix to project the data in a…

量子物理 · 物理学 2021-06-15 Iordanis Kerenidis , Jonas Landman

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

We present Advancing Front Mapping (AFM), a provably robust algorithm for the computation of surface mappings to simple base domains. Given an input mesh and a convex or star-shaped target domain, AFM installs a (possibly refined) version…

计算几何 · 计算机科学 2024-01-08 Marco Livesu

K-Medoids(KM) is a standard clustering method, used extensively on semi-metric data.Error analyses of KM have traditionally used an in-sample notion of error,which can be far from the true error and suffer from generalization gap. We…

机器学习 · 计算机科学 2019-10-31 Aravindakshan Babu , Saurabh Agarwal , Sudarshan Babu , Hariharan Chandrasekaran

Non-negative Matrix Factorization(NMF) algorithm can only be used to find low rank approximation of original non-negative data while Concept Factorization(CF) algorithm extends matrix factorization to single non-linear kernel space,…

机器学习 · 计算机科学 2024-10-29 Fei Li , Liang Du , Chaohong Ren

The popular K-means clustering algorithm potentially suffers from a major weakness for further analysis or interpretation. Some cluster may have disproportionately more (or fewer) points from one of the subpopulations in terms of some…

机器学习 · 计算机科学 2026-02-10 Guancheng Zhou , Haiping Xu , Hongkang Xu , Chenyu Li , Donghui Yan
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