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Poisson subsampling is the default sampling scheme in differentially private machine learning, largely because its unstructured randomness yields tractable privacy amplification analyses. Yet this same randomness introduces substantial…

Machine Learning · Computer Science 2026-05-11 Andy Dong , Ayfer Özgür

We provide new lower bounds on the privacy guarantee of the multi-epoch Adaptive Batch Linear Queries (ABLQ) mechanism with shuffled batch sampling, demonstrating substantial gaps when compared to Poisson subsampling; prior analysis was…

Machine Learning · Computer Science 2024-11-08 Lynn Chua , Badih Ghazi , Pritish Kamath , Ravi Kumar , Pasin Manurangsi , Amer Sinha , Chiyuan Zhang

We demonstrate a substantial gap between the privacy guarantees of the Adaptive Batch Linear Queries (ABLQ) mechanism under different types of batch sampling: (i) Shuffling, and (ii) Poisson subsampling; the typical analysis of…

Machine Learning · Computer Science 2024-06-07 Lynn Chua , Badih Ghazi , Pritish Kamath , Ravi Kumar , Pasin Manurangsi , Amer Sinha , Chiyuan Zhang

Amplification by subsampling is one of the main primitives in machine learning with differential privacy (DP): Training a model on random batches instead of complete datasets results in stronger privacy. This is traditionally formalized via…

Cryptography and Security · Computer Science 2024-11-04 Jan Schuchardt , Mihail Stoian , Arthur Kosmala , Stephan Günnemann

We introduce the Poisson Binomial mechanism (PBM), a discrete differential privacy mechanism for distributed mean estimation (DME) with applications to federated learning and analytics. We provide a tight analysis of its privacy guarantees,…

Cryptography and Security · Computer Science 2022-07-21 Wei-Ning Chen , Ayfer Özgür , Peter Kairouz

We introduce the Balls-and-Bins sampling for differentially private (DP) optimization methods such as DP-SGD. While it has been common practice to use some form of shuffling in DP-SGD implementations, privacy accounting algorithms have…

Machine Learning · Computer Science 2025-04-02 Lynn Chua , Badih Ghazi , Charlie Harrison , Ethan Leeman , Pritish Kamath , Ravi Kumar , Pasin Manurangsi , Amer Sinha , Chiyuan Zhang

Privacy amplification exploits randomness in data selection to provide tighter differential privacy (DP) guarantees. This analysis is key to DP-SGD's success in machine learning, but, is not readily applicable to the newer state-of-the-art…

Machine Learning · Computer Science 2024-05-07 Christopher A. Choquette-Choo , Arun Ganesh , Thomas Steinke , Abhradeep Thakurta

Differentially Private Stochastic Gradient Descent (DP-SGD) forms a fundamental building block in many applications for learning over sensitive data. Two standard approaches, privacy amplification by subsampling, and privacy amplification…

Machine Learning · Computer Science 2020-07-31 Borja Balle , Peter Kairouz , H. Brendan McMahan , Om Thakkar , Abhradeep Thakurta

We study the problem of computing the privacy parameters for DP machine learning when using privacy amplification via random batching and noise correlated across rounds via a correlation matrix $\textbf{C}$ (i.e., the matrix mechanism).…

Cryptography and Security · Computer Science 2025-03-24 Christopher A. Choquette-Choo , Arun Ganesh , Saminul Haque , Thomas Steinke , Abhradeep Thakurta

We consider the problem of computing tight privacy guarantees for the composition of subsampled differentially private mechanisms. Recent algorithms can numerically compute the privacy parameters to arbitrary precision but must be carefully…

Cryptography and Security · Computer Science 2025-04-09 Christian Janos Lebeda , Matthew Regehr , Gautam Kamath , Thomas Steinke

Balancing privacy and accuracy is a major challenge in designing differentially private machine learning algorithms. One way to improve this tradeoff for free is to leverage the noise in common data operations that already use randomness.…

Machine Learning · Computer Science 2021-10-20 Jacob Imola , Kamalika Chaudhuri

We consider the privacy amplification properties of a sampling scheme in which a user's data is used in $k$ steps chosen randomly and uniformly from a sequence (or set) of $t$ steps. This sampling scheme has been recently applied in the…

Machine Learning · Computer Science 2026-02-20 Vitaly Feldman , Moshe Shenfeld

Correlated noise mechanisms such as DP Matrix Factorization (DP-MF) have proven to be effective alternatives to DP-SGD in large-epsilon few-epoch training regimes. Significant work has been done to find the best correlated noise strategies,…

Machine Learning · Computer Science 2025-05-13 Ryan McKenna

Many forms of sensitive data, such as web traffic, mobility data, or hospital occupancy, are inherently sequential. The standard method for training machine learning models while ensuring privacy for units of sensitive information, such as…

Differentially private stochastic gradient descent (DP-SGD) has been instrumental in privately training deep learning models by providing a framework to control and track the privacy loss incurred during training. At the core of this…

Machine Learning · Computer Science 2024-08-21 Jeremiah Birrell , Reza Ebrahimi , Rouzbeh Behnia , Jason Pacheco

The Differentially Private Stochastic Gradient Descent (DP-SGD) algorithm supports the training of machine learning (ML) models with formal Differential Privacy (DP) guarantees. Traditionally, DP-SGD processes training data in batches using…

Cryptography and Security · Computer Science 2025-12-15 Meenatchi Sundaram Muthu Selva Annamalai , Borja Balle , Jamie Hayes , Emiliano De Cristofaro

We consider the privacy amplification properties of a sampling scheme in which a user's data is used in k steps chosen randomly and uniformly from a sequence (or set) of t steps. This sampling scheme has been recently applied in the context…

Machine Learning · Computer Science 2026-01-16 Vitaly Feldman , Moshe Shenfeld

Differential privacy comes equipped with multiple analytical tools for the design of private data analyses. One important tool is the so-called "privacy amplification by subsampling" principle, which ensures that a differentially private…

Machine Learning · Computer Science 2018-11-26 Borja Balle , Gilles Barthe , Marco Gaboardi

Differential privacy (DP) considers a scenario, where an adversary has almost complete information about the entries of a database This worst-case assumption is likely to overestimate the privacy thread for an individual in real life.…

Cryptography and Security · Computer Science 2025-04-16 Dennis Breutigam , Rüdiger Reischuk

Given a group size m and a sensitive dataset D, group privacy (GP) releases information about D with the guarantee that the adversary cannot infer with high confidence whether the underlying data is D or a neighboring dataset D' that…

Cryptography and Security · Computer Science 2024-08-27 Yangfan Jiang , Xinjian Luo , Yin Yang , Xiaokui Xiao
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