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An extractor is a function E that is used to extract randomness. Given an imperfect random source X and a uniform seed Y, the output E(X,Y) is close to uniform. We study properties of such functions in the presence of prior quantum…

量子物理 · 物理学 2008-02-04 Robert Koenig , Barbara M. Terhal

Real-time information processing applications such as those enabling a more intelligent infrastructure are increasingly focused on analyzing privacy-sensitive data obtained from individuals. To produce accurate statistics about the habits…

系统与控制 · 计算机科学 2018-03-06 Jerome Le Ny

Given data drawn from an unknown distribution, $D$, to what extent is it possible to ``amplify'' this dataset and output an even larger set of samples that appear to have been drawn from $D$? We formalize this question as follows: an…

机器学习 · 计算机科学 2024-08-27 Brian Axelrod , Shivam Garg , Vatsal Sharan , Gregory Valiant

We study a special case of Willems's two-user multi-access channel with partially cooperating encoders from a security perspective. This model differs from Willems's setup in that only one encoder, Encoder 1, is allowed to conference;…

信息论 · 计算机科学 2016-11-17 Zohaib Hassan Awan , Abdellatif Zaidi , Luc Vandendorpe

Motivated by the desirability of universal composability, we analyze in terms of L_1 distinguishability the task of secret key generation from a joint random variable. Under this secrecy criterion, using the Renyi entropy of order 1+s for s…

信息论 · 计算机科学 2016-09-28 Masahito Hayashi

Non-malleable codes, introduced by Dziembowski, Pietrzak and Wichs (ICS 2010), encode messages $s$ in a manner so that tampering the codeword causes the decoder to either output $s$ or a message that is independent of $s$. While this is an…

信息论 · 计算机科学 2013-09-03 Mahdi Cheraghchi , Venkatesan Guruswami

A basic model for key agreement with a remote (or hidden) source is extended to a multi-user model with joint secrecy and privacy constraints over all entities that do not trust each other after key agreement. Multiple entities using…

信息论 · 计算机科学 2020-10-20 Onur Günlü

We consider the secret key generation problem when sources are randomly excited by the sender and there is a noiseless public discussion channel. Our setting is thus similar to recent works on channels with action-dependent states where the…

信息论 · 计算机科学 2016-11-15 Tzu-Han Chou , Vincent Y. F. Tan , Stark C. Draper

Quantum-proof randomness extractors are an important building block for classical and quantum cryptography as well as device independent randomness amplification and expansion. Furthermore they are also a useful tool in quantum Shannon…

量子物理 · 物理学 2017-05-05 Mario Berta , Omar Fawzi , Volkher B. Scholz

We study privacy amplification by synthetic data release, a phenomenon in which differential privacy guarantees are improved by releasing only synthetic data rather than the private generative model itself. Recent work by Pierquin et al.…

密码学与安全 · 计算机科学 2026-02-06 Clément Pierquin , Aurélien Bellet , Marc Tommasi , Matthieu Boussard

We provide a unified method for constructing explicit distributions which are difficult for restricted models of computation to generate. Our constructions are based on a new notion of robust extractors, which are extractors that remain…

计算复杂性 · 计算机科学 2026-05-11 Farzan Byramji , Daniel M. Kane , Jackson Morris , Anthony Ostuni

We study a statistical signal processing privacy problem, where an agent observes useful data $Y$ and wants to reveal the information to a user. Since the useful data is correlated with the private data $X$, the agent employs a privacy…

信息论 · 计算机科学 2021-07-16 Amirreza Zamani , Tobias J. Oechtering , Mikael Skoglund

We focus on two mainstream privacy models: k-anonymity and differential privacy. Once a privacy model has been selected, the goal is to enforce it while preserving as much data utility as possible. The main objective of this thesis is to…

密码学与安全 · 计算机科学 2013-07-04 Jordi Soria-Comas

We prove an achievability result for privacy amplification and decoupling in terms of the sandwiched R\'enyi entropy of order $\alpha \in (1,2]$; this extends previous results which worked for $\alpha=2$. The fact that this proof works for…

量子物理 · 物理学 2022-01-11 Frédéric Dupuis

Seeded extractors are fundamental objects in pseudorandomness and cryptography, and a deep line of work has designed polynomial-time seeded extractors with nearly-optimal parameters. However, existing constructions of seeded extractors with…

计算复杂性 · 计算机科学 2026-02-10 Dean Doron , João Ribeiro

This paper investigates the privacy amplification problem, and compares the existing two bounds: the exponential bound derived by one of the authors and the min-entropy bound derived by Renner. It turns out that the exponential bound is…

信息论 · 计算机科学 2012-11-26 Shun Watanabe , Masahito Hayashi

A random variable $X$ is an $(n,k)$-zero-fixing source if for some subset $V\subseteq[n]$, $X$ is the uniform distribution on the strings $\{0,1\}^n$ that are zero on every coordinate outside of $V$. An $\epsilon$-extractor for…

计算复杂性 · 计算机科学 2019-12-18 Pavel Pudlák , Vojtech Rödl

Indistinguishability properties such as differential privacy bounds or low empirically measured membership inference are widely treated as proxies to show a model is sufficiently protected against broader memorization risks. However, we…

密码学与安全 · 计算机科学 2026-04-22 Ruixuan Liu , David Evans , Li Xiong

We study the problem of differentially private second moment estimation and present a new algorithm that achieve strong privacy-utility trade-offs even for worst-case inputs under subsamplability assumptions on the data. We call an input…

机器学习 · 计算机科学 2025-05-21 Bar Mahpud , Or Sheffet

Privacy-preserving machine learning enables the training of models on decentralized datasets without the need to reveal the data, both on horizontal and vertically partitioned data. However, it relies on specialized techniques and…

密码学与安全 · 计算机科学 2023-02-14 Florian van Daalen , Inigo Bermejo , Lianne Ippel , Andre Dekker