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The standard population protocol model assumes that when two agents interact, each observes the entire state of the other agent. We initiate the study of $\textit{message complexity}$ for population protocols, where the state of an agent is…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-16 Talley Amir , James Aspnes , David Doty , Mahsa Eftekhari , Eric Severson

The quantum version of communication complexity allows the two communicating parties to exchange qubits and/or to make use of prior entanglement (shared EPR-pairs). Some lower bound techniques are available for qubit communication…

Computational Complexity · Computer Science 2007-05-23 Harry Buhrman , Ronald de Wolf

Secure multi-party computation (MPC) allows a set of parties to compute a function jointly while keeping their inputs private. Compared with the MPC based on garbled circuits,some recent research results show that MPC based on secret…

Cryptography and Security · Computer Science 2020-01-07 Satsuya Ohata , Koji Nuida

In this paper, we analyze the complexity of functional programs written in the interaction-net computation model, an asynchronous, parallel and confluent model that generalizes linear-logic proof nets. Employing user-defined sized and…

Programming Languages · Computer Science 2015-11-06 Stéphane Gimenez , Georg Moser

Distributed computing, involving multiple servers collaborating on designated computations, faces a critical challenge in optimizing inter-server communication -- an issue central to the study of communication complexity. Quantum resources…

We present a new example of a partial boolean function whose one-way quantum communication complexity is exponentially lower than its one-way classical communication complexity. The problem is a natural generalisation of the previously…

Quantum Physics · Physics 2012-08-02 Ashley Montanaro

We define and study the model of patterned non-determinism in bipartite communication complexity, denoted by $PNP^{X\leftrightarrow Y}$. It generalises the known models $UP^{X\leftrightarrow Y}$ and $FewP^{X\leftrightarrow Y}$ through…

Computational Complexity · Computer Science 2023-11-07 Dmytro Gavinsky

Secure quantum communication traditionally assumes that the adversary controls only the public channel. We consider a more powerful adversary who can demand private information of users. This type of adversary has been studied in public key…

Quantum Physics · Physics 2025-04-10 Trey Li

We propose a linear algebraic method, rooted in the spectral properties of graphs, that can be used to prove lower bounds in communication complexity. Our proof technique effectively marries spectral bounds with information-theoretic…

Information Theory · Computer Science 2024-04-16 Geoffroy Caillat-Grenier , Andrei Romashchenko

We study the communication complexity of linear algebraic problems over finite fields in the multi-player message passing model, proving a number of tight lower bounds. Specifically, for a matrix which is distributed among a number of…

Computational Complexity · Computer Science 2014-07-18 Yi Li , Xiaoming Sun , Chengu Wang , David P. Woodruff

We propose a new training algorithm, named DualFL (Dualized Federated Learning), for solving distributed optimization problems in federated learning. DualFL achieves communication acceleration for very general convex cost functions, thereby…

Machine Learning · Computer Science 2024-01-11 Jongho Park , Jinchao Xu

We present a new method that includes three key components of distributed optimization and federated learning: variance reduction of stochastic gradients, partial participation, and compressed communication. We prove that the new method has…

Machine Learning · Computer Science 2024-01-04 Alexander Tyurin , Peter Richtárik

We revisit the phenomenon of syntactic complexity convergence in conversational interaction, originally found for English dialogue, which has theoretical implication for dialogical concepts such as mutual understanding. We use a modified…

Computation and Language · Computer Science 2024-08-23 Yu Wang , Hendrik Buschmeier

We study the correlation complexity (or equivalently, the communication complexity) of generating a bipartite quantum state $\rho$. When $\rho$ is a pure state, we completely characterize the complexity for approximately generating $\rho$…

Computational Complexity · Computer Science 2012-03-07 Rahul Jain , Yaoyun Shi , Zhaohui Wei , Shengyu Zhang

Many real-world complex networks actually have a bipartite nature: their nodes may be separated into two classes, the links being between nodes of different classes only. Despite this, and despite the fact that many ad-hoc tools have been…

Statistical Mechanics · Physics 2007-05-23 Matthieu Latapy , Clemence Magnien , Nathalie Del Vecchio

We prove new lower bounds for bounded error quantum communication complexity. Our methods are based on the Fourier transform of the considered functions. First we generalize a method for proving classical communication complexity lower…

Quantum Physics · Physics 2007-05-23 Hartmut Klauck

This paper describes an approach for half-duplex cooperative transmission in a classical three-node relay channel. Assuming availability of channel state information at nodes, the approach makes use of this information to optimize distinct…

Information Theory · Computer Science 2011-11-09 Tan F. Wong , Tat M. Lok , John M. Shea

We propose communication pattern logic. A communication pattern describes how processes or agents inform each other, independently of the information content. The full-information protocol in distributed computing is the special case…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-02 Armando Castañeda , Hans van Ditmarsch , David A. Rosenblueth , Diego A. Velázquez

Making classifiers robust to adversarial examples is hard. Thus, many defenses tackle the seemingly easier task of detecting perturbed inputs. We show a barrier towards this goal. We prove a general hardness reduction between detection and…

Machine Learning · Computer Science 2022-06-17 Florian Tramèr

Semi-quantum communication, a model introduced in 2007 by M. Boyer, D. Kenigsberg, and T. Mor (PRL 99 140501), involves the use of fully-quantum users and semi-quantum, or "classical" users. These restricted users are only allowed to…

Quantum Physics · Physics 2019-10-15 Hasan Iqbal , Walter O. Krawec