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K-means plays a vital role in data mining and is the simplest and most widely used algorithm under the Euclidean Minimum Sum-of-Squares Clustering (MSSC) model. However, its performance drastically drops when applied to vast amounts of…

机器学习 · 计算机科学 2023-11-27 Rustam Mussabayev , Nenad Mladenovic , Bassem Jarboui , Ravil Mussabayev

Spectral clustering has become one of the most widely used clustering techniques when the structure of the individual clusters is non-convex or highly anisotropic. Yet, despite its immense popularity, there exists fairly little theory about…

机器学习 · 统计学 2019-04-16 Shuyang Ling , Thomas Strohmer

The K-Means clustering using LLoyd's algorithm is an iterative approach to partition the given dataset into K different clusters. The algorithm assigns each point to the cluster based on the following objective function \[\ \min…

分布式、并行与集群计算 · 计算机科学 2024-05-21 Ashish Srivastava , Mohammed Nawfal

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

The pioneering method for unsupervised meta-learning, CACTUs, is a clustering-based approach with pseudo-labeling. This approach is model-agnostic and can be combined with supervised algorithms to learn from unlabeled data. However, it…

机器学习 · 计算机科学 2022-09-29 Xingping Dong , Jianbing Shen , Ling Shao

Clustering is a widely used and powerful machine learning technique, but its effectiveness is often limited by the need to specify the number of clusters, k, or by relying on thresholds that implicitly determine k. We introduce k*-means, a…

机器学习 · 计算机科学 2025-05-20 Louis Mahon , Mirella Lapata

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

Graph-Laplacians and their spectral embeddings play an important role in multiple areas of machine learning. This paper is focused on graph-Laplacian dimension reduction for the spectral clustering of data as a primary application. Spectral…

机器学习 · 计算机科学 2021-09-08 Vladimir Druskin , Alexander V. Mamonov , Mikhail Zaslavsky

K-Means clustering algorithm is one of the most commonly used clustering algorithms because of its simplicity and efficiency. K-Means clustering algorithm based on Euclidean distance only pays attention to the linear distance between…

机器学习 · 计算机科学 2022-06-13 Yiqun Zhang , Houbiao Li

Multi-model fitting has been extensively studied from the random sampling and clustering perspectives. Most assume that only a single type/class of model is present and their generalizations to fitting multiple types of models/structures…

计算机视觉与模式识别 · 计算机科学 2019-01-30 Xun Xu , Loong-Fah Cheong , Zhuwen Li

We introduce the {\it diffusion $K$-means} clustering method on Riemannian submanifolds, which maximizes the within-cluster connectedness based on the diffusion distance. The diffusion $K$-means constructs a random walk on the similarity…

统计理论 · 数学 2020-03-17 Xiaohui Chen , Yun Yang

The k-means clustering algorithm is a popular algorithm that partitions data into k clusters. There are many improvements to accelerate the standard algorithm. Most current research employs upper and lower bounds on point-to-cluster…

机器学习 · 计算机科学 2024-10-22 Andreas Lang , Erich Schubert

K-means clustering is widely used in psychological and psychometric research to identify profiles, subgroups, and potential typologies, yet its classical formulation does not test whether such groups exist as latent psychological…

This paper presents a novel centroid-based heuristic algorithm, termed Kempe Swap K-Means, for constrained clustering under rigid must-link (ML) and cannot-link (CL) constraints. The algorithm employs a dual-phase iterative process: an…

机器学习 · 计算机科学 2026-03-31 Yuxuan Ren , Shijie Deng

Many measurement modalities which perform imaging by probing an object pixel-by-pixel, such as via Photoacoustic Microscopy, produce a multi-dimensional feature (typically a time-domain signal) at each pixel. In principle, the many degrees…

计算机视觉与模式识别 · 计算机科学 2022-08-10 Nicholas Pellegrino , Paul Fieguth , Parsin Haji Reza

The task of labeling data for training deep neural networks is daunting and tedious, requiring millions of labels to achieve the current state-of-the-art results. Such reliance on large amounts of labeled data can be relaxed by exploiting…

机器学习 · 计算机科学 2016-02-17 Aysegul Dundar , Jonghoon Jin , Eugenio Culurciello

We consider the problem of clustering in the learning-augmented setting, where we are given a data set in $d$-dimensional Euclidean space, and a label for each data point given by an oracle indicating what subsets of points should be…

机器学习 · 计算机科学 2023-03-02 Thy Nguyen , Anamay Chaturvedi , Huy Lê Nguyen

Medical image analysis using supervised deep learning methods remains problematic because of the reliance of deep learning methods on large amounts of labelled training data. Although medical imaging data repositories continue to expand…

计算机视觉与模式识别 · 计算机科学 2019-06-11 Euijoon Ahn , Ashnil Kumar , Dagan Feng , Michael Fulham , Jinman Kim

Federated learning is a technique that enables the use of distributed datasets for machine learning purposes without requiring data to be pooled, thereby better preserving privacy and ownership of the data. While supervised FL research has…

机器学习 · 计算机科学 2024-02-19 Swier Garst , Marcel Reinders

We study beyond worst case analysis for the $k$-means problem where the goal is to model typical instances of $k$-means arising in practice. Existing theoretical approaches provide guarantees under certain assumptions on the optimal…

数据结构与算法 · 计算机科学 2026-02-03 Poojan Shah , Shashwat Agrawal , Ragesh Jaiswal