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Related papers: Privacy-Preserving Vertical K-Means Clustering

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Metric $k$-center clustering is a fundamental unsupervised learning primitive. Although widely used, this primitive is heavily affected by noise in the data, so that a more sensible variant seeks for the best solution that disregards a…

Machine Learning · Computer Science 2022-02-28 Paolo Pellizzoni , Andrea Pietracaprina , Geppino Pucci

Clustering algorithms have long been the topic of research, representing the more popular side of unsupervised learning. Since clustering analysis is one of the best ways to find some clarity and structure within raw data, this paper…

Machine Learning · Computer Science 2025-11-25 Naitik Gada

We design a new algorithm for the Euclidean $k$-means problem that operates in the local model of differential privacy. Unlike in the non-private literature, differentially private algorithms for the $k$-means objective incur both additive…

Machine Learning · Computer Science 2021-06-29 Uri Stemmer

Subspace clustering (SC) aims to cluster data lying in a union of low-dimensional subspaces. Usually, SC learns an affinity matrix and then performs spectral clustering. Both steps suffer from high time and space complexity, which leads to…

Machine Learning · Computer Science 2021-06-01 Jicong Fan

In this paper, we first propose a new iterative algorithm, called the K-sets+ algorithm for clustering data points in a semi-metric space, where the distance measure does not necessarily satisfy the triangular inequality. We show that the…

Data Structures and Algorithms · Computer Science 2017-05-12 Cheng-Shang Chang , Chia-Tai Chang , Duan-Shin Lee , Li-Heng Liou

We define the notion of a well-clusterable data set combining the point of view of the objective of $k$-means clustering algorithm (minimising the centric spread of data elements) and common sense (clusters shall be separated by gaps). We…

Machine Learning · Computer Science 2020-04-07 Mieczysław A. Kłopotek

Data protection algorithms are becoming increasingly important to support modern business needs for facilitating data sharing and data monetization. Anonymization is an important step before data sharing. Several organizations leverage on…

Cryptography and Security · Computer Science 2021-08-11 Manish Kesarwani , Akshar Kaul , Stefano Braghin , Naoise Holohan , Spiros Antonatos

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…

Machine Learning · Computer Science 2022-06-13 Yiqun Zhang , Houbiao Li

Clustering is an important data mining technique where we will be interested in maximizing intracluster distance and also minimizing intercluster distance. We have utilized clustering techniques for detecting deviation in product sales and…

Databases · Computer Science 2013-12-11 S. Hanumanth Sastry , Prof. M. S. Prasada Babu

Decentralized learning (DL) offers a novel paradigm in machine learning by distributing training across clients without central aggregation, enhancing scalability and efficiency. However, DL's peer-to-peer model raises challenges in…

Cryptography and Security · Computer Science 2024-04-30 Ali Reza Ghavamipour , Benjamin Zi Hao Zhao , Fatih Turkmen

Clustering is an unsupervised technique of Data Mining. It means grouping similar objects together and separating the dissimilar ones. Each object in the data set is assigned a class label in the clustering process using a distance measure.…

Information Retrieval · Computer Science 2011-10-13 Parul Agarwal , M. Afshar Alam , Ranjit Biswas

The K-means one-step dimensionality reduction clustering method has made some progress in addressing the curse of dimensionality in clustering tasks. However, it combines the K-means clustering and dimensionality reduction processes for…

Machine Learning · Computer Science 2024-10-31 Fangfang Li , Quanxue Gao , Cheng Deng , Wei Xia

Clustering is an essential primitive in unsupervised machine learning. We bring forth the problem of sublinear-time differentially-private clustering as a natural and well-motivated direction of research. We combine the $k$-means and…

Machine Learning · Computer Science 2021-12-28 Jeremiah Blocki , Elena Grigorescu , Tamalika Mukherjee

Smart cities, which can monitor the real world and provide smart services in a variety of fields, have improved people's living standards as urbanization has accelerated. However, there are security and privacy concerns because smart city…

Cryptography and Security · Computer Science 2023-10-20 Jing Jia , Kenta Saito , Hiroaki Nishi

The rapid growth of data from edge devices has catalyzed the performance of machine learning algorithms. However, the data generated resides at client devices thus there are majorly two challenge faced by traditional machine learning…

Machine Learning · Computer Science 2024-07-15 Shivam Gupta , Tarushi , Tsering Wangzes , Shweta Jain

As a staple of data analysis and unsupervised learning, the problem of private clustering has been widely studied under various privacy models. Centralized differential privacy is the first of them, and the problem has also been studied for…

Data Structures and Algorithms · Computer Science 2024-06-18 Max Dupré la Tour , Monika Henzinger , David Saulpic

Cluster analysis often serves as the initial step in the process of data classification. In this paper, the problem of clustering different length input data is considered. The edit distance as the minimum number of elementary edit…

Information Retrieval · Computer Science 2007-05-23 Slobodan Petrovic , Gonzalo Alvarez

In this note, we describe a simple approach to obtain a differentially private algorithm for k-clustering with nearly the same multiplicative factor as any non-private counterpart at the cost of a large polynomial additive error. The…

Data Structures and Algorithms · Computer Science 2020-09-29 Huy L. Nguyen

Data clustering is a fundamental operation in data analysis. For handling large-scale data, the standard k-means clustering method is not only slow, but also memory-inefficient. We propose an efficient clustering method for billion-scale…

Computer Vision and Pattern Recognition · Computer Science 2017-09-13 Yusuke Matsui , Keisuke Ogaki , Toshihiko Yamasaki , Kiyoharu Aizawa

The diameter $k$-clustering problem is the problem of partitioning a finite subset of $\mathbb{R}^d$ into $k$ subsets called clusters such that the maximum diameter of the clusters is minimized. One early clustering algorithm that computes…

Data Structures and Algorithms · Computer Science 2014-03-10 Marcel R. Ackermann , Johannes Blömer , Daniel Kuntze , Christian Sohler