These labels were automatically added by AI and may be inaccurate. For details, see About Literature Database.
Abstract
We analyze the number of queries that a whitebox adversary needs to make to a
private learner in order to reconstruct its training data. For $(\epsilon,
\delta)$ DP learners with training data drawn from any arbitrary compact metric
space, we provide the \emph{first known lower bounds on the adversary's query
complexity} as a function of the learner's privacy parameters. \emph{Our
results are minimax optimal for every $\epsilon \geq 0, \delta \in [0, 1]$,
covering both $\epsilon$-DP and $(0, \delta)$ DP as corollaries}. Beyond this,
we obtain query complexity lower bounds for $(\alpha, \epsilon)$ R\'enyi DP
learners that are valid for any $\alpha > 1, \epsilon \geq 0$. Finally, we
analyze data reconstruction attacks on locally compact metric spaces via the
framework of Metric DP, a generalization of DP that accounts for the underlying
metric structure of the data. In this setting, we provide the first known
analysis of data reconstruction in unbounded, high dimensional spaces and
obtain query complexity lower bounds that are nearly tight modulo logarithmic
factors.
T. B. Brown, B. Mann, N. Ryder, M. Subbiah, J. Kaplan, P. Dhariwal, A. Neelakantan, P. Shyam, G. Sastry, A. Askell, S. Agarwal, A. Herbert-Voss, G. Krueger, T. Henighan, R. Child, A. Ramesh, D. M. Ziegler, J. Wu, C. Winter, C. Hesse, M. Chen, E. Sigler, M. Litwin, S. Gray, B. Chess, J. Clark, C. Berner, S. McCandlish, A. Radford, I. Sutskever, D. Amodei
Published: 2020
Advances in Neural Information Processing Systems
Network size and size of the weights in memorization with two-layers neural networks
Sebastien Bubeck, Ronen Eldan, Yin Tat Lee, Dan Mikulincer
Published: 2020
Theory of Cryptography Conference
Concentrated differential privacy: Simplifications, extensions, and lower bounds
Extracting training data from large language models
Nicholas Carlini, Florian Tramer, Eric Wallace, Matthew Jagielski, Ariel Herbert-Voss, Katherine Lee, Adam Roberts, Tom Brown, Dawn Song, Ulfar Erlingsson, Alina Oprea, Colin Raffel
Published: 2021
Proc. of PETS
Broadening the scope of differential privacy using metrics
K. Chatzikokolakis, M. E. Andres, N. E. Bordenabe, C. Palamidessi