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We introduce a modified version of the excess risk, which can be used to obtain tighter, fast-rate PAC-Bayesian generalisation bounds. This modified excess risk leverages information about the relative hardness of data examples to reduce…

Machine Learning · Computer Science 2023-01-25 Felix Biggs , Benjamin Guedj

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

To reduce the communication cost of differential privacy mechanisms, we introduce a novel construction, called Poisson private representation (PPR), designed to compress and simulate any local randomizer while ensuring local differential…

Cryptography and Security · Computer Science 2024-11-12 Yanxiao Liu , Wei-Ning Chen , Ayfer Özgür , Cheuk Ting Li

Random cropping is one of the most common data augmentation techniques in computer vision, yet the role of its inherent randomness in training differentially private machine learning models has thus far gone unexplored. We observe that when…

Machine Learning · Computer Science 2026-03-27 Kaan Durmaz , Jan Schuchardt , Sebastian Schmidt , Stephan Günnemann

The Poisson-sampling technique eliminates dependencies among symbol appearances in a random sequence. It has been used to simplify the analysis and strengthen the performance guarantees of randomized algorithms. Applying this method to…

Information Theory · Computer Science 2014-05-30 Jayadev Acharya , Ashkan Jafarpour , Alon Orlitsky , Ananda Theertha Suresh

We introduce a privacy measure called statistic maximal leakage that quantifies how much a privacy mechanism leaks about a specific secret, relative to the adversary's prior information about that secret. Statistic maximal leakage is an…

Information Theory · Computer Science 2024-11-28 Shuaiqi Wang , Zinan Lin , Giulia Fanti

We propose a numerical accountant for evaluating the tight $(\varepsilon,\delta)$-privacy loss for algorithms with discrete one dimensional output. The method is based on the privacy loss distribution formalism and it uses the recently…

Machine Learning · Statistics 2021-06-24 Antti Koskela , Joonas Jälkö , Lukas Prediger , Antti Honkela

Sampling is renowned for its privacy amplification in differential privacy (DP), and is often assumed to improve the utility of a DP mechanism by allowing a noise reduction. In this paper, we further show that this last assumption is…

Cryptography and Security · Computer Science 2026-01-23 Àlex Miranda-Pascual , Javier Parra-Arnau , Thorsten Strufe

We initiate an investigation of private sampling from distributions. Given a dataset with $n$ independent observations from an unknown distribution $P$, a sampling algorithm must output a single observation from a distribution that is close…

Machine Learning · Computer Science 2022-11-16 Sofya Raskhodnikova , Satchit Sivakumar , Adam Smith , Marika Swanberg

Many commonly used learning algorithms work by iteratively updating an intermediate solution using one or a few data points in each iteration. Analysis of differential privacy for such algorithms often involves ensuring privacy of each step…

Machine Learning · Computer Science 2018-12-12 Vitaly Feldman , Ilya Mironov , Kunal Talwar , Abhradeep Thakurta

In this paper we present the Sampling Privacy mechanism for privately releasing personal data. Sampling Privacy is a sampling based privacy mechanism that satisfies differential privacy.

Cryptography and Security · Computer Science 2017-08-08 Josh Joy , Mario Gerla

A truncated partial wave analysis for the photoproduction of two pseudoscalar mesons on a nucleon is discussed with respect to the determination of a complete set of observables. For the selection of such a set we have applied a criterion…

Nuclear Theory · Physics 2015-06-15 A. Fix , H. Arenhoevel

Applying a randomized algorithm to a subset rather than the entire dataset amplifies privacy guarantees. We propose a class of subsampling methods ``MUltistage Sampling Technique (MUST)'' for privacy amplification (PA) in the context of…

Machine Learning · Statistics 2024-11-05 Xingyuan Zhao , Ruyu Zhou , Fang Liu

We introduce Concentrated Differential Privacy, a relaxation of Differential Privacy enjoying better accuracy than both pure differential privacy and its popular "(epsilon,delta)" relaxation without compromising on cumulative privacy loss…

Data Structures and Algorithms · Computer Science 2016-03-17 Cynthia Dwork , Guy N. Rothblum

For better learning, large datasets are often split into small batches and fed sequentially to the predictive model. In this paper, we study such batch decompositions from a probabilistic perspective. We assume that data points (possibly…

Machine Learning · Computer Science 2025-04-10 Ghurumuruhan Ganesan

Often, it is required to estimate the probability that a quantity such as toxicity level, plutonium, temperature, rainfall, damage, wind speed, wave size, earthquake magnitude, risk, etc., exceeds an unsafe high threshold. The probability…

Methodology · Statistics 2019-07-24 Benjamin Kedem , Lemeng Pan , Paul Smith , Chen Wang

With the rapidly increasing ability to collect and analyze personal data, data privacy becomes an emerging concern. In this work, we develop a new statistical notion of local privacy to protect each categorical data that will be collected…

Cryptography and Security · Computer Science 2021-07-06 Ganghua Wang , Jie Ding

Several anonymization techniques, such as generalization and bucketization, have been designed for privacy preserving microdata publishing. Recent work has shown that generalization loses considerable amount of information, especially for…

Databases · Computer Science 2009-09-15 Tiancheng Li , Ninghui Li , Jian Zhang , Ian Molloy

This work studies formal utility and privacy guarantees for a simple multiplicative database transformation, where the data are compressed by a random linear or affine transformation, reducing the number of data records substantially, while…

Machine Learning · Statistics 2009-01-13 Shuheng Zhou , Katrina Ligett , Larry Wasserman

We provide a detailed study of the estimation of probability distributions---discrete and continuous---in a stringent setting in which data is kept private even from the statistician. We give sharp minimax rates of convergence for…

Statistics Theory · Mathematics 2013-05-28 John C. Duchi , Michael I. Jordan , Martin J. Wainwright