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In this paper, we develop compositional methods for formally verifying differential privacy for algorithms whose analysis goes beyond the composition theorem. Our methods are based on the observation that differential privacy has deep…

Logic in Computer Science · Computer Science 2021-03-16 Gilles Barthe , Marco Gaboardi , Benjamin Grégoire , Justin Hsu , Pierre-Yves Strub

Differential privacy has emerged as a promising probabilistic formulation of privacy, generating intense interest within academia and industry. We present a push-button, automated technique for verifying $\varepsilon$-differential privacy…

Programming Languages · Computer Science 2017-11-10 Aws Albarghouthi , Justin Hsu

This thesis explores proofs by coupling from the perspective of formal verification. Long employed in probability theory and theoretical computer science, these proofs construct couplings between the output distributions of two…

Logic in Computer Science · Computer Science 2017-11-02 Justin Hsu

Differential privacy is a rigorous, worst-case notion of privacy-preserving computation. Informally, a probabilistic program is differentially private if the participation of a single individual in the input database has a limited effect on…

Logic in Computer Science · Computer Science 2018-03-16 Gilles Barthe , Marco Gaboardi , Emilio Jesús Gallego Arias , Justin Hsu , César Kunz , Pierre-Yves Strub

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

Curators of sensitive datasets sometimes need to know whether queries against the data are differentially private [Dwork et al. 2006]. Two sorts of logics have been proposed for checking this property: (1) type systems and other static…

Programming Languages · Computer Science 2019-06-10 Hengchu Zhang , Edo Roth , Andreas Haeberlen , Benjamin C. Pierce , Aaron Roth

The growing popularity and adoption of differential privacy in academic and industrial settings has resulted in the development of increasingly sophisticated algorithms for releasing information while preserving privacy. Accompanying this…

Programming Languages · Computer Science 2016-12-13 Danfeng Zhang , Daniel Kifer

Differential privacy is the standard method for privacy-preserving data analysis. The importance of having strong guarantees on the reliability of implementations of differentially private algorithms is widely recognized and has sparked…

Previous works in the differential privacy literature that allow users to choose their privacy levels typically operate under the heterogeneous differential privacy (HDP) framework with the simplifying assumption that user data and privacy…

Cryptography and Security · Computer Science 2025-09-04 Syomantak Chaudhuri , Thomas A. Courtade

In modern settings of data analysis, we may be running our algorithms on datasets that are sensitive in nature. However, classical machine learning and statistical algorithms were not designed with these risks in mind, and it has been…

Data Structures and Algorithms · Computer Science 2021-08-21 Huanyu Zhang

Differential privacy is a de facto standard in data privacy with applications in the private and public sectors. Most of the techniques that achieve differential privacy are based on a judicious use of randomness. However, reasoning about…

Programming Languages · Computer Science 2020-07-29 Gian Pietro Farina , Stephen Chong , Marco Gaboardi

Differential privacy is a de facto standard for statistical computations over databases that contain private data. The strength of differential privacy lies in a rigorous mathematical definition that guarantees individual privacy and yet…

Cryptography and Security · Computer Science 2020-05-05 Gilles Barthe , Rohit Chadha , Vishal Jagannath , A. Prasad Sistla , Mahesh Viswanathan

As data-driven technologies advance swiftly, maintaining strong privacy measures becomes progressively difficult. Conventional $(\epsilon, \delta)$-differential privacy, while prevalent, exhibits limited adaptability for many applications.…

Cryptography and Security · Computer Science 2025-07-03 Yifeng Liu , Zehua Wang

The verification of differential privacy algorithms that employ Gaussian distributions is little understood. This paper tackles the challenge of verifying such programs by introducing a novel approach to approximating probability…

Cryptography and Security · Computer Science 2025-09-11 Bishnu Bhusal , Rohit Chadha , A. Prasad Sistla , Mahesh Viswanathan

Differential privacy is becoming a gold standard for privacy research; it offers a guaranteed bound on loss of privacy due to release of query results, even under worst-case assumptions. The theory of differential privacy is an active…

Extended differential privacy, a generalization of standard differential privacy (DP) using a general metric, has been widely studied to provide rigorous privacy guarantees while keeping high utility. However, existing works on extended DP…

Cryptography and Security · Computer Science 2023-07-19 Natasha Fernandes , Yusuke Kawamoto , Takao Murakami

We study the problem of verifying differential privacy for loop-free programs with probabilistic choice. Programs in this class can be seen as randomized Boolean circuits, which we will use as a formal model to answer two different…

Computational Complexity · Computer Science 2020-06-30 Marco Gaboardi , Kobbi Nissim , David Purser

In this paper, we present a differential privacy version of convex and nonconvex sparse classification approach. Based on alternating direction method of multiplier (ADMM) algorithm, we transform the solving of sparse problem into the…

Machine Learning · Statistics 2019-08-05 Puyu Wang , Hai Zhang

Differential privacy offers a formal framework for reasoning about privacy and accuracy of computations on private data. It also offers a rich set of building blocks for constructing data analyses. When carefully calibrated, these analyses…

Cryptography and Security · Computer Science 2019-09-18 Elisabet Lobo-Vesga , Alejandro Russo , Marco Gaboardi

Standard differential privacy imposes uniform privacy constraints across all features, overlooking the inherent distinction between sensitive and insensitive features in practice. In this paper, we introduce a relaxed definition of…

Machine Learning · Computer Science 2026-05-06 Tianyu Wang , Luhao Zhang , Rachel Cummings
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