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Composition is a cornerstone of classical differential privacy, enabling strong end-to-end guarantees for complex algorithms through composition theorems (e.g., basic and advanced). In the quantum setting, however, privacy is defined…

Quantum Physics · Physics 2026-01-05 Daniel Alabi , Theshani Nuradha

Differential privacy (DP) is a compelling privacy definition that explains the privacy-utility tradeoff via formal, provable guarantees. Inspired by recent progress toward general-purpose data release algorithms, we propose a private…

Data Structures and Algorithms · Computer Science 2020-06-17 Benjamin Coleman , Anshumali Shrivastava

Differential Privacy (DP) is a probabilistic framework that protects privacy while preserving data utility. To protect the privacy of the individuals in the dataset, DP requires adding a precise amount of noise to a statistic of interest;…

Computation · Statistics 2025-05-05 Yu-Wei Chen , Pranav Sanghi , Jordan Awan

Our research delves into the balance between maintaining privacy and preserving statistical accuracy when dealing with multivariate data that is subject to \textit{componentwise local differential privacy} (CLDP). With CLDP, each component…

Statistics Theory · Mathematics 2025-01-22 Chiara Amorino , Arnaud Gloter

Achieving communication efficiency in decentralized machine learning has been attracting significant attention, with communication compression recognized as an effective technique in algorithm design. This paper takes a first step to…

Machine Learning · Computer Science 2023-05-18 Boyue Li , Yuejie Chi

A novel private communication framework is proposed where privacy is induced by transmitting over a channel instances of linear inverse problems that are identifiable to the legitimate receiver but unidentifiable to an eavesdropper. The gap…

Information Theory · Computer Science 2024-07-24 Maxime Ferreira Da Costa , Jianxiu Li , Urbashi Mitra

We study the task of differentially private clustering. For several basic clustering problems, including Euclidean DensestBall, 1-Cluster, k-means, and k-median, we give efficient differentially private algorithms that achieve essentially…

Machine Learning · Computer Science 2020-08-19 Badih Ghazi , Ravi Kumar , Pasin Manurangsi

Ratio statistics--such as relative risk and odds ratios--play a central role in hypothesis testing, model evaluation, and decision-making across many areas of machine learning, including causal inference and fairness analysis. However,…

Machine Learning · Statistics 2025-05-28 Tomer Shoham , Katrina Ligettt

We investigate the framework of privacy amplification by iteration, recently proposed by Feldman et al., from an information-theoretic lens. We demonstrate that differential privacy guarantees of iterative mappings can be determined by a…

Information Theory · Computer Science 2020-01-22 Shahab Asoodeh , Mario Diaz , Flavio P. Calmon

With changes in privacy laws, there is often a hard requirement for client data to remain on the device rather than being sent to the server. Therefore, most processing happens on the device, and only an altered element is sent to the…

Cryptography and Security · Computer Science 2022-12-27 Ajinkya K Mulay

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

We study the computational cost of differential privacy in terms of memory efficiency. While the trade-off between accuracy and differential privacy is well-understood, the inherent cost of privacy regarding memory use remains largely…

Cryptography and Security · Computer Science 2026-02-13 Alessandro Epasto , Xin Lyu , Pasin Manurangsi

Communication and privacy are two critical concerns in distributed learning. Many existing works treat these concerns separately. In this work, we argue that a natural connection exists between methods for communication reduction and…

Machine Learning · Computer Science 2019-12-09 Tian Li , Zaoxing Liu , Vyas Sekar , Virginia Smith

Any reasonable measure of distinguishability of quantum states must satisfy a data processing inequality, that is, it must not increase under the action of a quantum channel. We can ask about the proportion of information lost or preserved…

Quantum Physics · Physics 2025-10-15 Shreyas Iyer , Peixue Wu , Paula Belzig , Graeme Smith

This paper establishes a general theory of energy-constrained quantum and private capacities of quantum channels. We begin by defining various energy-constrained communication tasks, including quantum communication with a uniform energy…

Quantum Physics · Physics 2018-11-22 Mark M. Wilde , Haoyu Qi

We revisit the distributed hypothesis testing (or hypothesis testing with communication constraints) problem from the viewpoint of privacy. Instead of observing the raw data directly, the transmitter observes a sanitized or randomized…

Information Theory · Computer Science 2019-06-26 Atefeh Gilani , Selma Belhadj Amor , Sadaf Salehkalaibar , Vincent Y. F. Tan

In this work we analyze the sample complexity of classification by differentially private algorithms. Differential privacy is a strong and well-studied notion of privacy introduced by Dwork et al. (2006) that ensures that the output of an…

Data Structures and Algorithms · Computer Science 2015-09-15 Vitaly Feldman , David Xiao

Quantum learning from remotely accessed quantum compute and data must address two key challenges: verifying the correctness of data and ensuring the privacy of the learner's data-collection strategies and resulting conclusions. The covert…

Quantum Physics · Physics 2025-10-09 Abhishek Anand , Matthias C. Caro , Ari Karchmer , Saachi Mutreja

We optimize the trade-off between privacy and utility in the high-privacy regime. We adopt local differential privacy (LDP) and its quantum extension, quantum local differential privacy (QLDP), for privacy protection, and investigate…

Quantum Physics · Physics 2026-05-27 Yuuya Yoshida

Differential privacy offers formal quantitative guarantees for algorithms over datasets, but it assumes attackers that know and can influence all but one record in the database. This assumption often vastly overapproximates the attackers'…

Cryptography and Security · Computer Science 2020-12-01 Damien Desfontaines , Esfandiar Mohammadi , Elisabeth Krahmer , David Basin
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