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As the modern world becomes increasingly digitized and interconnected, distributed signal processing has proven to be effective in processing its large volume of data. However, a main challenge limiting the broad use of distributed signal…

Signal Processing · Electrical Eng. & Systems 2020-10-23 Qiongxiu Li , Richard Heusdens , Mads Græsbøll Christensen

This paper considers a Gaussian channel with one transmitter and two receivers. The goal is to maximize the communication rate at the intended/primary receiver subject to a disturbance constraint at the unintended/secondary receiver. The…

Information Theory · Computer Science 2016-03-25 Alex Dytso , Ronit Bustin , Daniela Tuninetti , Natasha Devroye , H. Vincent Poor , Shlomo Shamai

Private Simultaneous Messages (PSM) model is a minimal model for secure multiparty computation. Feige, Kilian, and Naor (STOC 1994) and Ishai (Cryptology and Information Security Series 2013) constructed PSM protocols based on quadratic…

Cryptography and Security · Computer Science 2023-08-21 Kazumasa Shinagawa , Reo Eriguchi , Shohei Satake , Koji Nuida

We consider the unweighted bipartite maximum matching problem in the one-pass turnstile streaming model where the input stream consists of edge insertions and deletions. In the insertion-only model, a one-pass $2$-approximation streaming…

Data Structures and Algorithms · Computer Science 2015-05-07 Christian Konrad

Shuffling is a powerful way to amplify privacy of a local randomizer in private distributed data analysis. Most existing analyses of how shuffling amplifies privacy are based on the pure local differential privacy (DP) parameter…

Data Structures and Algorithms · Computer Science 2026-03-03 Shun Takagi , Seng Pei Liew

This work introduces the \emph{Secure and Private Structured-Subset Retrieval (SPSSR)} problem. In SPSSR, a user wishes to retrieve one subset from an arbitrary family of size-$D$ subsets from $K$ messages replicated across $N$…

Information Theory · Computer Science 2026-05-13 Maha Issa , Anoosheh Heidarzadeh

We consider the problem of resolving contention in communication networks with selfish users. In a \textit{contention game} each of $n \geq 2$ identical players has a single information packet that she wants to transmit using one of $k \geq…

Computer Science and Game Theory · Computer Science 2020-03-24 George Christodoulou , Themistoklis Melissourgos , Paul G. Spirakis

We investigate the problem of the predictability of random variable $Y$ under a privacy constraint dictated by random variable $X$, correlated with $Y$, where both predictability and privacy are assessed in terms of the minimum mean-squared…

Information Theory · Computer Science 2016-01-28 Shahab Asoodeh , Fady Alajaji , Tamás Linder

We develop a sharp, experiment-level privacy theory for amplification by shuffling in the Gaussian regime: a fixed finite-output local randomizer with full support and neighboring binary datasets differing in one user. We first prove exact…

Information Theory · Computer Science 2026-03-24 Alex Shvets

We introduce the poly-streaming model, a generalization of streaming models of computation in which $k$ processors process $k$ data streams containing a total of $N$ items. The algorithm is allowed $O\left(f(k)\cdot M_1\right)$ space, where…

Data Structures and Algorithms · Computer Science 2025-07-21 Ahammed Ullah , S. M. Ferdous , Alex Pothen

We propose a new one-bit feedback scheme with scheduling decision based on the maximum expected weighted rate. We show the concavity of the $2$-user case and provide the optimal solution which achieves the maximum weighted rate of the…

Information Theory · Computer Science 2017-09-01 Mohammed Hafez , Ahmed El Shafie , Mohammed Shaqfeh , Tamer Khattab , Hussein Alnuweiri , Huseyin Arslan

We study the problem of single-server multi-message private information retrieval with side information. One user wants to recover $N$ out of $K$ independent messages which are stored at a single server. The user initially possesses a…

Information Theory · Computer Science 2018-08-20 Su Li , Michael Gastpar

Estimating the quantiles of a large dataset is a fundamental problem in both the streaming algorithms literature and the differential privacy literature. However, all existing private mechanisms for distribution-independent quantile…

Data Structures and Algorithms · Computer Science 2022-01-11 Daniel Alabi , Omri Ben-Eliezer , Anamay Chaturvedi

Multi-fidelity methods that use an ensemble of models to compute a Monte Carlo estimator of the expectation of a high-fidelity model can significantly reduce computational costs compared to single-model approaches. These methods use oracle…

Computation · Statistics 2026-03-12 Thomas Dixon , Alex Gorodetsky , John Jakeman , Akil Narayan , Yiming Xu

We study the minimum mean-squared error for 2-means clustering when the outcomes of the vector-valued random variable to be clustered are on two touching spheres of unit radius in $n$-dimensional Euclidean space and the underlying…

Probability · Mathematics 2018-10-17 Bernhard G. Bodmann , Craig J. George

Reinforcement learning (RL) is a powerful tool for sequential decision-making, but its application is often hindered by privacy concerns arising from its interaction data. This challenge is particularly acute in advanced networked systems,…

Machine Learning · Computer Science 2025-11-18 Shaojie Bai , Mohammad Sadegh Talebi , Chengcheng Zhao , Peng Cheng , Jiming Chen

This paper studies the multi-agent average consensus problem under the requirement of differential privacy of the agents' initial states against an adversary that has access to all the messages. We first establish that a differentially…

Optimization and Control · Mathematics 2017-03-01 Erfan Nozari , Pavankumar Tallapragada , Jorge Cortés

The minimum mean-square error (MMSE) achievable by optimal estimation of a random variable $Y\in\mathbb{R}$ given another random variable $X\in\mathbb{R}^{d}$ is of much interest in a variety of statistical settings. In the context of…

Information Theory · Computer Science 2022-07-12 Mario Diaz , Peter Kairouz , Lalitha Sankar

We propose an efficient algorithm for solving group synchronization under high levels of corruption and noise, while we focus on rotation synchronization. We first describe our recent theoretically guaranteed message passing algorithm that…

Computer Vision and Pattern Recognition · Computer Science 2021-10-11 Yunpeng Shi , Gilad Lerman

When collecting information, local differential privacy (LDP) alleviates privacy concerns of users because their private information is randomized before being sent it to the central aggregator. LDP imposes large amount of noise as each…

Cryptography and Security · Computer Science 2020-08-04 Tianhao Wang , Bolin Ding , Min Xu , Zhicong Huang , Cheng Hong , Jingren Zhou , Ninghui Li , Somesh Jha