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In this paper, we study the problem of distributed mean estimation with 1-bit communication constraints. We propose a mean estimator that is based on (randomized and sequentially-chosen) interval queries, whose 1-bit outcome indicates…

Machine Learning · Statistics 2026-04-07 Ivan Lau , Jonathan Scarlett

We show how an arbitrary qubit rotation can be teleported, albeit probabilistically, using 1 e-bit of entanglement and one classical bit. We use this to present a scheme for implementing quantum secret sharing. The scheme operates…

Quantum Physics · Physics 2009-11-07 Chui-Ping Yang , Julio Gea-Banacloche

Modern applied optimization problems become more and more complex every day. Due to this fact, distributed algorithms that can speed up the process of solving an optimization problem through parallelization are of great importance. The main…

Optimization and Control · Mathematics 2023-12-14 Svetlana Tkachenko , Artem Andreev , Aleksandr Beznosikov , Alexander Gasnikov

We analyze a two-receiver binary-input discrete memoryless broadcast channel, in which the transmitter communicates a common message simultaneously to both receivers and a covert message to only one of them. The unintended recipient of the…

Information Theory · Computer Science 2018-08-30 Keerthi Suria Kumar Arumugam , Matthieu R. Bloch

We study a distributed estimation problem in which two remotely located parties, Alice and Bob, observe an unlimited number of i.i.d. samples corresponding to two different parts of a random vector. Alice can send $k$ bits on average to…

Statistics Theory · Mathematics 2018-06-26 Uri Hadar , Ofer Shayevitz

This paper considers a two-terminal problem in which Alice and Bob aim to perform a joint measurement on a bipartite quantum system $\rho^{AB}$. Alice transmits the results of her measurements to Bob over a classical channel, and the two…

Information Theory · Computer Science 2025-06-24 Anders Høst-Madsen

This paper proposes a spectrum sensing algorithm from one bit measurements in a cognitive radio sensor network. A likelihood ratio test (LRT) for the one bit spectrum sensing problem is derived. Different from the one bit spectrum sensing…

Signal Processing · Electrical Eng. & Systems 2019-03-26 Hadi Zayyani , Farzan Haddadi , Mehdi Korki

Modeling and shaping how information spreads through a network is a major research topic in network analysis. While initially the focus has been mostly on efficiency, recently fairness criteria have been taken into account in this setting.…

Social and Information Networks · Computer Science 2023-02-28 Ruben Becker , Gianlorenzo D'Angelo , Sajjad Ghobadi

We address Bayesian persuasion between a sender and a receiver with state-dependent quadratic cost measures for general classes of distributions. The receiver seeks to make mean-square-error estimate of a state based on a signal sent by the…

Computer Science and Game Theory · Computer Science 2020-09-15 Muhammed O. Sayin , Tamer Basar

Classical probabilistic rounding error analysis is particularly well suited to stochastic rounding (SR), and it yields strong results when dealing with floating-point algorithms that rely heavily on summation. For many numerical linear…

Numerical Analysis · Mathematics 2025-02-26 El-Mehdi El Arar , Massimiliano Fasi , Silviu-Ioan Filip , Mantas Mikaitis

In most error correction coding (ECC) frameworks, the typical error metric is the bit error rate (BER) which measures the number of bit errors. For this metric, the positions of the bits are not relevant to the decoding, and in many noise…

Signal Processing · Electrical Eng. & Systems 2021-10-11 Chai Wah Wu

We examine fundamental tradeoffs in iterative distributed zeroth and first order stochastic optimization in multi-agent networks in terms of \emph{communication cost} (number of per-node transmissions) and \emph{computational cost},…

Optimization and Control · Mathematics 2018-09-11 Anit Kumar Sahu , Dusan Jakovetic , Dragana Bajovic , Soummya Kar

This paper initiates the study of the impact of failures on the fundamental problem of \emph{information spreading} in the Vertex-Congest model, in which in every round, each of the $n$ nodes sends the same $O(\log{n})$-bit message to all…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-07 Keren Censor-Hillel , Tariq Toukan

In massive multiple-input multiple-output (MIMO) systems, acquisition of the channel state information at the transmitter side (CSIT) is crucial. In this paper, a practical CSIT estimation scheme is proposed for frequency division duplexing…

Networking and Internet Architecture · Computer Science 2016-10-13 Zhiyi Zhou , Xu Chen , Dongning Guo , Michael L. Honig

To relax power consumption requirements in multigigabit/s communications systems low resolution quantization can be used. Information-theoretic results have shown that systems employing 1-bit quantization and oversampling are a viable…

Information Theory · Computer Science 2016-04-14 Tim Hälsig , Lukas Landau , Gerhard Fettweis

We address the problem of reliable data transmission within a finite time horizon $T$ over a binary erasure channel with unknown erasure probability. We consider a feedback model wherein the transmitter can query the receiver infrequently…

Information Theory · Computer Science 2026-05-11 Haricharan Balasundaram , Krishna Jagannathan

We consider a number of fundamental statistical and graph problems in the message-passing model, where we have $k$ machines (sites), each holding a piece of data, and the machines want to jointly solve a problem defined on the union of the…

Data Structures and Algorithms · Computer Science 2013-07-29 David P. Woodruff , Qin Zhang

The distributed optimization problem has become increasingly relevant recently. It has a lot of advantages such as processing a large amount of data in less time compared to non-distributed methods. However, most distributed approaches…

Optimization and Control · Mathematics 2024-03-27 Daniil Medyakov , Gleb Molodtsov , Aleksandr Beznosikov , Alexander Gasnikov

We study the scalability of consensus-based distributed optimization algorithms by considering two questions: How many processors should we use for a given problem, and how often should they communicate when communication is not free?…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-09-06 Konstantinos I. Tsianos , Sean Lawlor , Michael G. Rabbat

In this work, we formulate and study a data dissemination problem, which can be viewed as a generalization of the index coding problem and of the data exchange problem to networks with an arbitrary topology. We define $r$-solvable networks,…

Information Theory · Computer Science 2015-10-12 Ivo Kubjas , Vitaly Skachek