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We introduce list privacy amplification (LPA), a relaxation of the final step of quantum key distribution (QKD) in which Alice and Bob extract a list of $L$ candidate keys from a raw string correlated with an eavesdropper Eve, with the…

Quantum Physics · Physics 2026-03-20 Prateek P. Kulkarni

This paper establishes the strict optimality in precision for frequency and distribution estimation under local differential privacy (LDP). We prove that a linear estimator with a symmetric and extremal configuration, and a constant support…

Information Theory · Computer Science 2026-03-24 Mingen Pan

We construct pseudorandom generators of seed length $\tilde{O}(\log(n)\cdot \log(1/\epsilon))$ that $\epsilon$-fool ordered read-once branching programs (ROBPs) of width $3$ and length $n$. For unordered ROBPs, we construct pseudorandom…

Computational Complexity · Computer Science 2018-06-13 Raghu Meka , Omer Reingold , Avishay Tal

Given a set of discrete probability distributions, the minimum entropy coupling is the minimum entropy joint distribution that has the input distributions as its marginals. This has immediate relevance to tasks such as entropic causal…

Information Theory · Computer Science 2023-02-24 Spencer Compton , Dmitriy Katz , Benjamin Qi , Kristjan Greenewald , Murat Kocaoglu

Key extraction via measuring a physical quantity is a class of information theoretic key exchange protocols that rely on the physical characteristics of the communication channel to enable the computation of a shared key by two (or more)…

Cryptography and Security · Computer Science 2015-12-17 Matt Edman , Aggelos Kiayias , Qiang Tang , Bulent Yener

We put forth a new computational notion of entropy, measuring the (in)feasibility of sampling high-entropy strings that are consistent with a given generator. Specifically, the i'th output block of a generator G has accessible entropy at…

Cryptography and Security · Computer Science 2021-08-24 Iftach Haitner , Omer Reingold , Salil Vadhan , Hoeteck Wee

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

We introduce an $(\epsilon, \delta)$-jointly differentially private algorithm for packing problems. Our algorithm not only achieves the optimal trade-off between the privacy parameter $\epsilon$ and the minimum supply requirement (up to…

Data Structures and Algorithms · Computer Science 2019-05-03 Zhiyi Huang , Xue Zhu

In a recent work, Gryaznov, Pudl\'{a}k, and Talebanfard (CCC' 22) introduced a stronger version of affine extractors known as directional affine extractors, together with a generalization of $\mathsf{ROBP}$s where each node can make linear…

Computational Complexity · Computer Science 2024-07-04 Xin Li , Yan Zhong

Multi-source-extractors are functions that extract uniform randomness from multiple (weak) sources of randomness. Quantum multi-source-extractors were considered by Kasher and Kempe (for the quantum-independent-adversary and the…

Cryptography and Security · Computer Science 2023-06-08 Divesh Aggarwal , Naresh Goud Boddu , Rahul Jain , Maciej Obremski

Given a data set of size $n$ in $d'$-dimensional Euclidean space, the $k$-means problem asks for a set of $k$ points (called centers) so that the sum of the $\ell_2^2$-distances between points of a given data set of size $n$ and the set of…

Data Structures and Algorithms · Computer Science 2021-06-01 Anamay Chaturvedi , Matthew Jones , Huy L. Nguyen

We study the problem of releasing the weights of all-pair shortest paths in a weighted undirected graph with differential privacy (DP). In this setting, the underlying graph is fixed and two graphs are neighbors if their edge weights differ…

Data Structures and Algorithms · Computer Science 2022-03-31 Badih Ghazi , Ravi Kumar , Pasin Manurangsi , Jelani Nelson

We present a self-stabilizing leader election algorithm for arbitrary networks, with space-complexity $O(\max\{\log \Delta, \log \log n\})$ bits per node in $n$-node networks with maximum degree~$\Delta$. This space complexity is…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-27 Lélia Blin , Sébastien Tixeuil

This paper investigates a new model to improve the scalability of low-power long-range (LoRa) networks by allowing multiple end devices (EDs) to simultaneously communicate with multiple multi-antenna gateways on the same frequency band and…

Signal Processing · Electrical Eng. & Systems 2021-11-22 The Khai Nguyen , Ha H. Nguyen , Ebrahim Bedeer

Recent work by Dhulipala et al. \cite{DLRSSY22} initiated the study of the $k$-core decomposition problem under differential privacy via a connection between low round/depth distributed/parallel graph algorithms and private algorithms with…

Data Structures and Algorithms · Computer Science 2024-03-01 Laxman Dhulipala , George Z. Li , Quanquan C. Liu

Concern about how to aggregate sensitive user data without compromising individual privacy is a major barrier to greater availability of data. The model of differential privacy has emerged as an accepted model to release sensitive…

Databases · Computer Science 2017-10-03 Graham Cormode , Tejas Kulkarni , Divesh Srivastava

We study the Densest Subgraph (DSG) problem under the additional constraint of differential privacy. DSG is a fundamental theoretical question which plays a central role in graph analytics, and so privacy is a natural requirement. All known…

Data Structures and Algorithms · Computer Science 2024-04-09 Michael Dinitz , Satyen Kale , Silvio Lattanzi , Sergei Vassilvitskii

We initiate the study of multi-source extractors in the quantum world. In this setting, our goal is to extract random bits from two independent weak random sources, on which two quantum adversaries store a bounded amount of information. Our…

Quantum Physics · Physics 2010-05-05 Roy Kasher , Julia Kempe

Given a dataset of $n$ user-contributed strings, each of length at most $\ell$, a key problem is how to identify all frequent substrings while preserving each user's privacy. Recent work by Bernardini et al. (PODS'25) introduced a…

Data Structures and Algorithms · Computer Science 2026-03-11 Peaker Guo , Rayne Holland , Hao Wu

We consider the privacy amplification properties of a sampling scheme in which a user's data is used in $k$ steps chosen randomly and uniformly from a sequence (or set) of $t$ steps. This sampling scheme has been recently applied in the…

Machine Learning · Computer Science 2026-02-20 Vitaly Feldman , Moshe Shenfeld