Smooth Anonymity for Sparse Graphs

Fuente: arXiv
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Hauptverfasser: Epasto, Alessandro, Esfandiari, Hossein, Mirrokni, Vahab, Medina, Andres Munoz
Format: Preprint
Veröffentlicht: 2022
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author Epasto, Alessandro
Esfandiari, Hossein
Mirrokni, Vahab
Medina, Andres Munoz
author_facet Epasto, Alessandro
Esfandiari, Hossein
Mirrokni, Vahab
Medina, Andres Munoz
contents When working with user data providing well-defined privacy guarantees is paramount. In this work, we aim to manipulate and share an entire sparse dataset with a third party privately. In fact, differential privacy has emerged as the gold standard of privacy, however, when it comes to sharing sparse datasets, e.g. sparse networks, as one of our main results, we prove that \emph{any} differentially private mechanism that maintains a reasonable similarity with the initial dataset is doomed to have a very weak privacy guarantee. In such situations, we need to look into other privacy notions such as $k$-anonymity. In this work, we consider a variation of $k$-anonymity, which we call smooth-$k$-anonymity, and design simple large-scale algorithms that efficiently provide smooth-$k$-anonymity. We further perform an empirical evaluation to back our theoretical guarantees and show that our algorithm improves the performance in downstream machine learning tasks on anonymized data.
format Preprint
id arxiv_https___arxiv_org_abs_2207_06358
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Smooth Anonymity for Sparse Graphs
Epasto, Alessandro
Esfandiari, Hossein
Mirrokni, Vahab
Medina, Andres Munoz
Cryptography and Security
Machine Learning
When working with user data providing well-defined privacy guarantees is paramount. In this work, we aim to manipulate and share an entire sparse dataset with a third party privately. In fact, differential privacy has emerged as the gold standard of privacy, however, when it comes to sharing sparse datasets, e.g. sparse networks, as one of our main results, we prove that \emph{any} differentially private mechanism that maintains a reasonable similarity with the initial dataset is doomed to have a very weak privacy guarantee. In such situations, we need to look into other privacy notions such as $k$-anonymity. In this work, we consider a variation of $k$-anonymity, which we call smooth-$k$-anonymity, and design simple large-scale algorithms that efficiently provide smooth-$k$-anonymity. We further perform an empirical evaluation to back our theoretical guarantees and show that our algorithm improves the performance in downstream machine learning tasks on anonymized data.
title Smooth Anonymity for Sparse Graphs
topic Cryptography and Security
Machine Learning
url https://arxiv.org/abs/2207.06358