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Robots should be able to learn complex behaviors from human demonstrations. In practice, these human-provided datasets are inevitably imbalanced: i.e., the human demonstrates some subtasks more frequently than others. State-of-the-art…

机器人学 · 计算机科学 2026-01-06 Sagar Parekh , Heramb Nemlekar , Dylan P. Losey

This paper provides new algorithms for distributed clustering for two popular center-based objectives, k-median and k-means. These algorithms have provable guarantees and improve communication complexity over existing approaches. Following…

机器学习 · 计算机科学 2020-01-28 Maria Florina Balcan , Steven Ehrlich , Yingyu Liang

Kernel $k$-means clustering can correctly identify and extract a far more varied collection of cluster structures than the linear $k$-means clustering algorithm. However, kernel $k$-means clustering is computationally expensive when the…

机器学习 · 计算机科学 2019-02-12 Shusen Wang , Alex Gittens , Michael W. Mahoney

Pseudo-Centroid Clustering replaces the traditional concept of a centroid expressed as a center of gravity with the notion of a pseudo-centroid (or a coordinate free centroid) which has the advantage of applying to clustering problems where…

数据结构与算法 · 计算机科学 2016-11-04 Fred Glover

Coresets are efficient representations of data sets such that models trained on the coreset are provably competitive with models trained on the original data set. As such, they have been successfully used to scale up clustering models such…

机器学习 · 统计学 2016-05-03 Mario Lucic , Olivier Bachem , Andreas Krause

This work presents a novel variant of the Firefly Algorithm (FA) for data clustering, addressing limitations of traditional methods like K-Means that struggle with non-uniform cluster shapes, densities, and the need for pre-defining the…

人工智能 · 计算机科学 2026-05-19 MKA Ariyaratne , Azwirman Gusrialdi , Yury Nikulin , Jaakko Peltonen

Distributed data mining techniques and mainly distributed clustering are widely used in the last decade because they deal with very large and heterogeneous datasets which cannot be gathered centrally. Current distributed clustering…

数据库 · 计算机科学 2018-02-02 Malika Bendechache , M-Tahar Kechadi

In machine learning and data mining, Cluster analysis is one of the most widely used unsupervised learning technique. Philosophy of this algorithm is to find similar data items and group them together based on any distance function in…

机器学习 · 统计学 2018-10-09 Kumarjit Pathak , Jitin Kapila

The widely applied k-means algorithm produces clusterings that violate our expectations with respect to high/low similarity/density and is in conflict with Kleinberg's axiomatic system for distance based clustering algorithms that…

机器学习 · 计算机科学 2023-08-08 Mieczysław A. Kłopotek

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

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

Recent advances in center-based clustering continue to improve upon the drawbacks of Lloyd's celebrated $k$-means algorithm over $60$ years after its introduction. Various methods seek to address poor local minima, sensitivity to outliers,…

机器学习 · 统计学 2021-10-28 Debolina Paul , Saptarshi Chakraborty , Swagatam Das , Jason Xu

We propose a hybrid method for accurately estimating the score function, i.e., the gradient of the log steady-state density, using a Gaussian Mixture Model (GMM) in conjunction with a bisecting K-means clustering step. Our approach, which…

混沌动力学 · 物理学 2025-10-31 Ludovico T. Giorgini , Tobias Bischoff , Andre N. Souza

The learning of mixture models can be viewed as a clustering problem. Indeed, given data samples independently generated from a mixture of distributions, we often would like to find the {\it correct target clustering} of the samples…

机器学习 · 统计学 2022-08-26 Zhaoqiang Liu , Vincent Y. F. Tan

One iteration of standard $k$-means (i.e., Lloyd's algorithm) or standard EM for Gaussian mixture models (GMMs) scales linearly with the number of clusters $C$, data points $N$, and data dimensionality $D$. In this study, we explore whether…

机器学习 · 统计学 2018-04-18 Dennis Forster , Jörg Lücke

The paper presents a formula for the reclassification of multidimensional data points (columns of real numbers, "objects", "vectors", etc.). This formula describes the change in the total squared error caused by reclassification of data…

计算机视觉与模式识别 · 计算机科学 2012-09-28 M. Kharinov

To cluster data that are not linearly separable in the original feature space, $k$-means clustering was extended to the kernel version. However, the performance of kernel $k$-means clustering largely depends on the choice of kernel…

机器学习 · 计算机科学 2018-11-02 Yaqiang Yao , Huanhuan Chen

Data-target association is an important step in multi-target localization for the intelligent operation of un- manned systems in numerous applications such as search and rescue, traffic management and surveillance. The objective of this…

系统与控制 · 计算机科学 2017-05-31 Samuel Silva , Rengan Suresh , Feng Tao , Johnathan Votion , Yongcan Cao

This paper investigates the capability of correctly recovering well-separated clusters by various brands of the $k$-means algorithm. The concept of well-separatedness used here is derived directly from the common definition of clusters,…

机器学习 · 计算机科学 2023-08-07 Mieczysław A. Kłopotek

This paper presents a comprehensive comparative analysis of prominent clustering algorithms K-means, DBSCAN, and Spectral Clustering on high-dimensional datasets. We introduce a novel evaluation framework that assesses clustering…

机器学习 · 计算机科学 2025-07-31 Vishnu Vardhan Baligodugula , Fathi Amsaad