Differential Privacy Mechanisms in Neural Tangent Kernel Regression

Fuente: arXiv
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Auteurs principaux: Gu, Jiuxiang, Liang, Yingyu, Sha, Zhizhou, Shi, Zhenmei, Song, Zhao
Format: Preprint
Publié: 2024
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author Gu, Jiuxiang
Liang, Yingyu
Sha, Zhizhou
Shi, Zhenmei
Song, Zhao
author_facet Gu, Jiuxiang
Liang, Yingyu
Sha, Zhizhou
Shi, Zhenmei
Song, Zhao
contents Training data privacy is a fundamental problem in modern Artificial Intelligence (AI) applications, such as face recognition, recommendation systems, language generation, and many others, as it may contain sensitive user information related to legal issues. To fundamentally understand how privacy mechanisms work in AI applications, we study differential privacy (DP) in the Neural Tangent Kernel (NTK) regression setting, where DP is one of the most powerful tools for measuring privacy under statistical learning, and NTK is one of the most popular analysis frameworks for studying the learning mechanisms of deep neural networks. In our work, we can show provable guarantees for both differential privacy and test accuracy of our NTK regression. Furthermore, we conduct experiments on the basic image classification dataset CIFAR10 to demonstrate that NTK regression can preserve good accuracy under a modest privacy budget, supporting the validity of our analysis. To our knowledge, this is the first work to provide a DP guarantee for NTK regression.
format Preprint
id arxiv_https___arxiv_org_abs_2407_13621
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Differential Privacy Mechanisms in Neural Tangent Kernel Regression
Gu, Jiuxiang
Liang, Yingyu
Sha, Zhizhou
Shi, Zhenmei
Song, Zhao
Machine Learning
Artificial Intelligence
Cryptography and Security
Training data privacy is a fundamental problem in modern Artificial Intelligence (AI) applications, such as face recognition, recommendation systems, language generation, and many others, as it may contain sensitive user information related to legal issues. To fundamentally understand how privacy mechanisms work in AI applications, we study differential privacy (DP) in the Neural Tangent Kernel (NTK) regression setting, where DP is one of the most powerful tools for measuring privacy under statistical learning, and NTK is one of the most popular analysis frameworks for studying the learning mechanisms of deep neural networks. In our work, we can show provable guarantees for both differential privacy and test accuracy of our NTK regression. Furthermore, we conduct experiments on the basic image classification dataset CIFAR10 to demonstrate that NTK regression can preserve good accuracy under a modest privacy budget, supporting the validity of our analysis. To our knowledge, this is the first work to provide a DP guarantee for NTK regression.
title Differential Privacy Mechanisms in Neural Tangent Kernel Regression
topic Machine Learning
Artificial Intelligence
Cryptography and Security
url https://arxiv.org/abs/2407.13621