K-Means Clustering with Local Distance Privacy

With the development of information technology, a mass of data are generated every day. Collecting and analysing these data help service providers improve their services and gain an advantage in the fierce market competition. K-means clustering has been widely used for cluster analysis in real life....

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Main Authors: Mengmeng Yang, Longxia Huang, Chenghua Tang
Format: Article
Language:English
Published: Tsinghua University Press 2023-12-01
Series:Big Data Mining and Analytics
Subjects:
Online Access:https://www.sciopen.com/article/10.26599/BDMA.2022.9020050
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author Mengmeng Yang
Longxia Huang
Chenghua Tang
author_facet Mengmeng Yang
Longxia Huang
Chenghua Tang
author_sort Mengmeng Yang
collection DOAJ
description With the development of information technology, a mass of data are generated every day. Collecting and analysing these data help service providers improve their services and gain an advantage in the fierce market competition. K-means clustering has been widely used for cluster analysis in real life. However, these analyses are based on users’ data, which disclose users’ privacy. Local differential privacy has attracted lots of attention recently due to its strong privacy guarantee and has been applied for clustering analysis. However, existing K-means clustering methods with local differential privacy protection cannot get an ideal clustering result due to the large amount of noise introduced to the whole dataset to ensure the privacy guarantee. To solve this problem, we propose a novel method that provides local distance privacy for users who participate in the clustering analysis. Instead of making the users’ records in-distinguish from each other in high-dimensional space, we map the user’s record into a one-dimensional distance space and make the records in such a distance space not be distinguished from each other. To be specific, we generate a noisy distance first and then synthesize the high-dimensional data record. We propose a Bounded Laplace Method (BLM) and a Cluster Indistinguishable Method (CIM) to sample such a noisy distance, which satisfies the local differential privacy guarantee and local dE-privacy guarantee, respectively. Furthermore, we introduce a way to generate synthetic data records in high-dimensional space. Our experimental evaluation results show that our methods outperform the traditional methods significantly.
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spelling doaj.art-33b0b8276f4346eaba69c440509189ac2023-12-20T09:32:32ZengTsinghua University PressBig Data Mining and Analytics2096-06542023-12-016443344210.26599/BDMA.2022.9020050K-Means Clustering with Local Distance PrivacyMengmeng Yang0Longxia Huang1Chenghua Tang2Data61, Commonwealth Scientific and Industrial Research Organization, Melbourne 3168, AustraliaSchool of Computer Science and Communication Engineering, Jiangsu University, Zhenjiang 212013, ChinaSchool of Computer Science and Information Security, Guilin University of Electronic Technology, Guilin 541010, ChinaWith the development of information technology, a mass of data are generated every day. Collecting and analysing these data help service providers improve their services and gain an advantage in the fierce market competition. K-means clustering has been widely used for cluster analysis in real life. However, these analyses are based on users’ data, which disclose users’ privacy. Local differential privacy has attracted lots of attention recently due to its strong privacy guarantee and has been applied for clustering analysis. However, existing K-means clustering methods with local differential privacy protection cannot get an ideal clustering result due to the large amount of noise introduced to the whole dataset to ensure the privacy guarantee. To solve this problem, we propose a novel method that provides local distance privacy for users who participate in the clustering analysis. Instead of making the users’ records in-distinguish from each other in high-dimensional space, we map the user’s record into a one-dimensional distance space and make the records in such a distance space not be distinguished from each other. To be specific, we generate a noisy distance first and then synthesize the high-dimensional data record. We propose a Bounded Laplace Method (BLM) and a Cluster Indistinguishable Method (CIM) to sample such a noisy distance, which satisfies the local differential privacy guarantee and local dE-privacy guarantee, respectively. Furthermore, we introduce a way to generate synthetic data records in high-dimensional space. Our experimental evaluation results show that our methods outperform the traditional methods significantly.https://www.sciopen.com/article/10.26599/BDMA.2022.9020050k-means clusteringlocal differential privacydata analysis
spellingShingle Mengmeng Yang
Longxia Huang
Chenghua Tang
K-Means Clustering with Local Distance Privacy
Big Data Mining and Analytics
k-means clustering
local differential privacy
data analysis
title K-Means Clustering with Local Distance Privacy
title_full K-Means Clustering with Local Distance Privacy
title_fullStr K-Means Clustering with Local Distance Privacy
title_full_unstemmed K-Means Clustering with Local Distance Privacy
title_short K-Means Clustering with Local Distance Privacy
title_sort k means clustering with local distance privacy
topic k-means clustering
local differential privacy
data analysis
url https://www.sciopen.com/article/10.26599/BDMA.2022.9020050
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AT longxiahuang kmeansclusteringwithlocaldistanceprivacy
AT chenghuatang kmeansclusteringwithlocaldistanceprivacy