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Ensuring fairness in machine learning algorithms is a challenging and essential task. We consider the problem of clustering a set of points while satisfying fairness constraints. While there have been several attempts to capture group…

机器学习 · 计算机科学 2023-02-07 Debajyoti Kar , Mert Kosan , Debmalya Mandal , Sourav Medya , Arlei Silva , Palash Dey , Swagato Sanyal

Measuring similarity between two objects is the core operation in existing clustering algorithms in grouping similar objects into clusters. This paper introduces a new similarity measure called point-set kernel which computes the similarity…

机器学习 · 计算机科学 2022-01-07 Kai Ming Ting , Jonathan R. Wells , Ye Zhu

A novel clustering technique based on the projection onto convex set (POCS) method, called POCS-based clustering algorithm, is proposed in this paper. The proposed POCS-based clustering algorithm exploits a parallel projection method of…

机器学习 · 计算机科学 2023-03-24 Le-Anh Tran , Henock M. Deberneh , Truong-Dong Do , Thanh-Dat Nguyen , My-Ha Le , Dong-Chul Park

In this paper, thinking over characteristics of ant colony optimization Algorithm, taking into account the characteristics of cloud computing, combined with clonal selection algorithm (CSA) global optimum advantage of the convergence of the…

分布式、并行与集群计算 · 计算机科学 2014-11-11 Jianbiao Lin , Yukun Zhong , Xiaowei Lin , Hui Lin , Qiang Zeng

An ant colony optimization approach for partitioning a set of objects is proposed. In order to minimize the intra-variance, or within sum-of-squares, of the partitioned classes, we construct ant-like solutions by a constructive approach…

机器学习 · 统计学 2019-12-04 Jeffry Chavarria-Molina , Juan Jose Fallas-Monge , Javier Trejos-Zelaya

Detecting code clones is crucial in various software engineering tasks. In particular, code clone detection can have significant uses in the context of analyzing and fixing bugs in large scale applications. However, prior works, such as…

软件工程 · 计算机科学 2020-09-23 Hongfa Xue , Yongsheng Mei , Kailash Gogineni , Guru Venkataramani , Tian Lan

We consider the classical $k$-means clustering problem in the setting bi-criteria approximation, in which an algoithm is allowed to output $\beta k > k$ clusters, and must produce a clustering with cost at most $\alpha$ times the to the…

数据结构与算法 · 计算机科学 2015-08-04 Konstantin Makarychev , Yury Makarychev , Maxim Sviridenko , Justin Ward

In response to the need for learning tools tuned to big data analytics, the present paper introduces a framework for efficient clustering of huge sets of (possibly high-dimensional) data. Building on random sampling and consensus (RANSAC)…

机器学习 · 统计学 2016-11-17 Panagiotis A. Traganitis , Konstantinos Slavakis , Georgios B. Giannakis

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

The $k$-center problem requires the selection of $k$ points (centers) from a given metric pointset $W$ so to minimize the maximum distance of any point of $W$ from the closest center. This paper focuses on a fair variant of the problem,…

数据结构与算法 · 计算机科学 2025-03-10 Matteo Ceccarello , Andrea Pietracaprina , Geppino Pucci , Francesco Visonà

$k$-means++ \cite{arthur2007k} is a widely used clustering algorithm that is easy to implement, has nice theoretical guarantees and strong empirical performance. Despite its wide adoption, $k$-means++ sometimes suffers from being slow on…

机器学习 · 计算机科学 2020-12-23 Vincent Cohen-Addad , Silvio Lattanzi , Ashkan Norouzi-Fard , Christian Sohler , Ola Svensson

The purpose of this paper is to improve the traditional K-means algorithm. In the traditional K mean clustering algorithm, the initial clustering centers are generated randomly in the data set. It is easy to fall into the local minimum…

机器学习 · 计算机科学 2018-10-11 Su Chang , Xu Zhenzong , Gao Xuan

Though mostly used as a clustering algorithm, k-means are originally designed as a quantization algorithm. Namely, it aims at providing a compression of a probability distribution with k points. Building upon [21, 33], we try to investigate…

统计理论 · 数学 2018-01-31 Clément Levrard

Reduced k-means clustering is a method for clustering objects in a low-dimensional subspace. The advantage of this method is that both clustering of objects and low-dimensional subspace reflecting the cluster structure are simultaneously…

统计理论 · 数学 2014-02-14 Yoshikazu Terada

Clustering can be defined as the process of assembling objects into a number of groups whose elements are similar to each other in some manner. As a technique that is used in many domains, such as face clustering, plant categorization,…

机器学习 · 计算机科学 2022-04-05 Mehmet F. Demirel , Enrico Au-Yeung

Scaling clustering algorithms to massive data sets is a challenging task. Recently, several successful approaches based on data summarization methods, such as coresets and sketches, were proposed. While these techniques provide provably…

机器学习 · 统计学 2018-02-21 Olivier Bachem , Mario Lucic , Silvio Lattanzi

The planted clique problem is well-studied in the context of observing, explaining, and predicting interesting computational phenomena associated with statistical problems. When equating computational efficiency with the existence of…

计算复杂性 · 计算机科学 2023-11-10 Jay Mardia

We devise coresets for kernel $k$-Means with a general kernel, and use them to obtain new, more efficient, algorithms. Kernel $k$-Means has superior clustering capability compared to classical $k$-Means, particularly when clusters are…

数据结构与算法 · 计算机科学 2024-04-09 Shaofeng H. -C. Jiang , Robert Krauthgamer , Jianing Lou , Yubo Zhang

Quantum machine learning has received significant interest in recent years, with theoretical studies showing that quantum variants of classical machine learning algorithms can provide good generalization from small training data sizes.…

An application of quantum cloning to optimally interface a quantum system with a classical observer is presented, in particular we describe a procedure to perform a minimal disturbance measurement on a single qubit by adopting a 1->2…

量子物理 · 物理学 2009-11-11 M. Ricci , F. Sciarrino , N. J. Cerf , R. Filip , J. Fiurasek , F. De Martini