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In this paper, we consider the communication complexity of protocols that compute stable matchings. We work within the context of Gale and Shapley's original stable marriage problem\cite{GS62}: $n$ men and $n$ women each privately hold a…

Computational Complexity · Computer Science 2014-10-10 Rafail Ostrovsky , Will Rosenbaum

Results from the communication complexity literature have demonstrated that stable matching requires communication: one cannot find or verify a stable match without having access to essentially all of the ordinal preference information held…

Theoretical Economics · Economics 2022-12-09 Naveen Durvasula

Consensus is one of the most thoroughly studied problems in distributed computing, yet there are still complexity gaps that have not been bridged for decades. In particular, in the classical message-passing setting with processes' crashes,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-25 MohammadTaghi HajiAghayi , Dariusz R. Kowalski , Jan Olkowski

One of the most challenging coordination problems in artificial intelligence is to achieve successful collaboration across large-scale heterogeneous systems that include Robots, Agents, and People (RAP). In the best case, these RAP systems…

Multiagent Systems · Computer Science 2018-08-27 Neda Hajiakhoond , Gita Sukthankar

We present an efficient reduction that converts any machine learning algorithm into an interactive protocol, enabling collaboration with another party (e.g., a human) to achieve consensus on predictions and improve accuracy. This approach…

Machine Learning · Computer Science 2024-12-02 Natalie Collina , Surbhi Goel , Varun Gupta , Aaron Roth

The communication cost of a classical protocol is typically measured in terms of the number of bits communicated for this determines the time required for communication during the protocol. Similarly, for quantum communication protocols,…

Quantum Physics · Physics 2021-01-04 Ashutosh Marwah , Dave Touchette

Communication scenarios between two parties can be implemented by first encoding messages into some states of a physical system which acts as the physical medium of the communication and then decoding the messages by measuring the state of…

Quantum Physics · Physics 2024-04-23 Teiko Heinosaari , Oskari Kerppo , Leevi Leppäjärvi , Martin Plávala

Communication complexity is a fundamental aspect of information science, concerned with the amount of communication required to solve a problem distributed among multiple parties. The standard quantification of one-way communication…

Quantum Physics · Physics 2024-12-25 Satyaki Manna , Anubhav Chaturvedi , Debashis Saha

We study distribution testing with communication and memory constraints in the following computational models: (1) The {\em one-pass streaming model} where the goal is to minimize the sample complexity of the protocol subject to a memory…

Machine Learning · Computer Science 2019-06-12 Ilias Diakonikolas , Themis Gouleakis , Daniel M. Kane , Sankeerth Rao

The \emph{rational fair consensus problem} can be informally defined as follows. Consider a network of $n$ (selfish) \emph{rational agents}, each of them initially supporting a \emph{color} chosen from a finite set $ \Sigma$. The goal is to…

Computer Science and Game Theory · Computer Science 2017-05-29 Andrea Clementi , Luciano Gualà , Guido Proietti , Giacomo Scornavacca

Detection of defective members of large populations has been widely studied in the statistics community under the name "group testing", a problem which dates back to World War II when it was suggested for syphilis screening. There the main…

Information Theory · Computer Science 2009-09-28 Mahdi Cheraghchi , Ali Hormati , Amin Karbasi , Martin Vetterli

In a multiparty message-passing model of communication, there are $k$ players. Each player has a private input, and they communicate by sending messages to one another over private channels. While this model has been used extensively in…

Data Structures and Algorithms · Computer Science 2013-05-22 Mark Braverman , Faith Ellen , Rotem Oshman , Toniann Pitassi , Vinod Vaikuntanathan

Information theoretically secure multi-party computation (MPC) is a central primitive of modern cryptography. However, relatively little is known about the communication complexity of this primitive. In this work, we develop powerful…

Cryptography and Security · Computer Science 2014-04-15 Deepesh Data , Vinod M. Prabhakaran , Manoj M. Prabhakaran

Classical medium access control (MAC) protocols are interpretable, yet their task-agnostic control signaling messages (CMs) are ill-suited for emerging mission-critical applications. By contrast, neural network (NN) based protocol models…

Information Theory · Computer Science 2022-07-11 Sejin Seo , Jihong Park , Seung-Woo Ko , Jinho Choi , Mehdi Bennis , Seong-Lyun Kim

This paper studies the message complexity of authenticated Byzantine agreement (BA) in synchronous, fully-connected distributed networks under an honest majority. We focus on the so-called {\em implicit} Byzantine agreement problem where…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-13 Manish Kumar , Anisur Rahaman Molla

Population protocols model information spreading and computation in network systems where pairwise node exchanges are determined by an external random scheduler and nodes have small memory. Most of the population protocols in the literature…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-06 Costas Busch , Dariusz R. Kowalski

It has been shown that one can design distributed algorithms that are (nearly) singularly optimal, meaning they simultaneously achieve optimal time and message complexity (within polylogarithmic factors), for several fundamental global…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-12 Fabien Dufoulon , Gopal Pandurangan , Peter Robinson , Michele Scquizzato

We consider the problem of bounded-error quantum state identification: given either state \alpha_0 or state \alpha_1, we are required to output `0', `1' or `?' ("don't know"), such that conditioned on outputting `0' or `1', our guess is…

Quantum Physics · Physics 2022-03-29 Dmytro Gavinsky , Julia Kempe , Oded Regev , Ronald de Wolf

We study the sample complexity of the prototypical tasks quantum purity estimation and quantum inner product estimation. In purity estimation, we are to estimate $tr(\rho^2)$ of an unknown quantum state $\rho$ to additive error $\epsilon$.…

Quantum Physics · Physics 2024-10-17 Weiyuan Gong , Jonas Haferkamp , Qi Ye , Zhihan Zhang

Distributed systems have become increasingly prevalent in the software industry. Due to their intrinsic complexity, much research has focused on the verification of their behaviour. An active research line is around behaviour models that…

Programming Languages · Computer Science 2026-04-09 Francisco Parrinha , João Mota , António Ravara
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