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Random constraint satisfaction problems (CSPs) such as random $3$-SAT are conjectured to be computationally intractable. The average case hardness of random $3$-SAT and other CSPs has broad and far-reaching implications on problems in…

计算复杂性 · 计算机科学 2019-11-11 Jonah Brown-Cohen , Prasad Raghavendra

We give an exponential separation between one-way quantum and classical communication protocols for a partial Boolean function (a variant of the Boolean Hidden Matching Problem of Bar-Yossef et al.) Earlier such an exponential separation…

量子物理 · 物理学 2022-03-29 Dmytro Gavinsky , Julia Kempe , Iordanis Kerenidis , Ran Raz , Ronald de Wolf

The Exponential Mechanism (ExpM), designed for private optimization, has been historically sidelined from use on continuous sample spaces, as it requires sampling from a generally intractable density, and, to a lesser extent, bounding the…

机器学习 · 统计学 2024-06-12 Robert A. Bridges , Vandy J. Tombs , Christopher B. Stanley

We design the first node-differentially private algorithm for approximating the number of connected components in a graph. Given a database representing an $n$-vertex graph $G$ and a privacy parameter $\varepsilon$, our algorithm runs in…

数据结构与算法 · 计算机科学 2023-04-17 Iden Kalemaj , Sofya Raskhodnikova , Adam Smith , Charalampos E. Tsourakakis

To realize ultra-reliable low latency communications with high spectral efficiency and security, we investigate a joint optimization problem for downlink communications with multiple users and eavesdroppers in the finite blocklength (FBL)…

信息论 · 计算机科学 2022-08-04 Mintaek Oh , Jeonghun Park , Jinseok Choi

We initiate the study of language generation in the limit, a model recently introduced by Kleinberg and Mullainathan [KM24], under the constraint of differential privacy. We consider the continual release model, where a generator must…

机器学习 · 统计学 2026-04-10 Anay Mehrotra , Grigoris Velegkas , Xifan Yu , Felix Zhou

We study the problem of privately releasing an approximate minimum spanning tree (MST). Given a graph $G = (V, E, \vec{W})$ where $V$ is a set of $n$ vertices, $E$ is a set of $m$ undirected edges, and $ \vec{W} \in \mathbb{R}^{|E|} $ is an…

数据结构与算法 · 计算机科学 2024-12-16 Rasmus Pagh , Lukas Retschmeier , Hao Wu , Hanwen Zhang

We propose a new model of a weakly random source that admits randomness extraction. Our model of additive sources includes such natural sources as uniform distributions on arithmetic progressions (APs), generalized arithmetic progressions…

计算复杂性 · 计算机科学 2014-10-28 Abhishek Bhowmick , Ariel Gabizon , Thái Hoàng Lê , David Zuckerman

In this work, fundamental limits and optimal mechanisms of privacy-preserving data release that aims to minimize the privacy leakage under utility constraints of a set of multiple tasks are investigated. While the private feature to be…

信息论 · 计算机科学 2024-09-04 Ta-Yuan Liu , I-Hsiang Wang

We introduce an improved one-shot characterisation of randomness extraction against quantum side information (privacy amplification), strengthening known one-shot bounds and providing a unified derivation of the tightest known asymptotic…

量子物理 · 物理学 2026-04-07 Bartosz Regula , Marco Tomamichel

An exciting new development in differential privacy is the shuffled model, in which an anonymous channel enables non-interactive, differentially private protocols with error much smaller than what is possible in the local model, while…

密码学与安全 · 计算机科学 2020-05-20 Badih Ghazi , Noah Golowich , Ravi Kumar , Rasmus Pagh , Ameya Velingker

The pervasiveness of proprietary language models has raised critical privacy concerns, necessitating advancements in private inference (PI), where computations are performed directly on encrypted data without revealing users' sensitive…

机器学习 · 计算机科学 2025-01-10 Nandan Kumar Jha , Brandon Reagen

Large Language Models (LLMs) are increasingly served on shared accelerators where an adversary with read access to device memory can observe KV caches and hidden states, threatening prompt privacy for open-source models. Cryptographic…

密码学与安全 · 计算机科学 2026-03-09 Anatoly Belikov , Ilya Fedotov

We show that Trevisan's extractor and its variants \cite{T99,RRV99} are secure against bounded quantum storage adversaries. One instantiation gives the first such extractor to achieve an output length $\Theta(K-b)$, where $K$ is the…

量子物理 · 物理学 2010-03-31 Anindya De , Thomas Vidick

Traditional approaches to differential privacy assume a fixed privacy requirement $\epsilon$ for a computation, and attempt to maximize the accuracy of the computation subject to the privacy constraint. As differential privacy is…

机器学习 · 计算机科学 2017-06-01 Katrina Ligett , Seth Neel , Aaron Roth , Bo Waggoner , Z. Steven Wu

Randomness is an important resource for many applications, from gambling to secure communication. However, guaranteeing that the output from a candidate random source could not have been predicted by an outside party is a challenging task,…

量子物理 · 物理学 2011-03-02 Roger Colbeck , Adrian Kent

We study the accuracy of differentially private mechanisms in the continual release model. A continual release mechanism receives a sensitive dataset as a stream of $T$ inputs and produces, after receiving each input, an accurate output on…

数据结构与算法 · 计算机科学 2022-01-12 Palak Jain , Sofya Raskhodnikova , Satchit Sivakumar , Adam Smith

This paper proposes a new design of non-orthogonal multiple access (NOMA) under secrecy considerations. We focus on a NOMA system where a transmitter sends confidential messages to multiple users in the presence of an external eavesdropper.…

信息论 · 计算机科学 2017-05-25 Biao He , An Liu , Nan Yang , Vincent K. N. Lau

We study the setup where each of $n$ users holds an element from a discrete set, and the goal is to count the number of distinct elements across all users, under the constraint of $(\epsilon, \delta)$-differentially privacy: - In the…

密码学与安全 · 计算机科学 2020-09-22 Lijie Chen , Badih Ghazi , Ravi Kumar , Pasin Manurangsi

The shuffle model of DP (Differential Privacy) provides high utility by introducing a shuffler that randomly shuffles noisy data sent from users. However, recent studies show that existing shuffle protocols suffer from the following two…

密码学与安全 · 计算机科学 2025-04-11 Takao Murakami , Yuichi Sei , Reo Eriguchi