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Communicating state machines provide a formal foundation for distributed computation. Unfortunately, they are Turing-complete and, thus, challenging to analyse. In this paper, we classify restrictions on channels which have been proposed to…

Formal Languages and Automata Theory · Computer Science 2022-08-12 Felix Stutz , Damien Zufferey

The interaction of particles in an electrolytic medium can be calculated by solving the Poisson equation inside the solutes and the linearized Poisson--Boltzmann equation in the solvent, with suitable boundary conditions at the interfaces.…

Soft Condensed Matter · Physics 2025-12-12 Sergii V. Siryk , Walter Rocchia

We consider the following communication problem: Alice and Bob each have some valuation functions $v_1(\cdot)$ and $v_2(\cdot)$ over subsets of $m$ items, and their goal is to partition the items into $S, \bar{S}$ in a way that maximizes…

Computer Science and Game Theory · Computer Science 2017-04-13 Mark Braverman , Jieming Mao , S. Matthew Weinberg

We describe scalable protocols for solving the secure multi-party computation (MPC) problem among a large number of parties. We consider both the synchronous and the asynchronous communication models. In the synchronous setting, our…

Data Structures and Algorithms · Computer Science 2015-09-29 Varsha Dani , Valerie King , Mahnush Movahedi , Jared Saia , Mahdi Zamani

We present three simple and efficient protocol constructions to solve Yao's Millionaire Problem when the parties involved are non-colluding and semi-honest. The first construction uses a partially homomorphic Encryption Scheme and is a…

Cryptography and Security · Computer Science 2013-10-31 Ashish Kumar , Anupam Gupta

Computing set joins of two inputs is a common task in database theory. Recently, Van Gucht, Williams, Woodruff and Zhang [PODS 2015] considered the complexity of such problems in the natural model of (classical) two-party communication…

Quantum Physics · Physics 2016-08-24 Stacey Jeffery , François Le Gall

A multiparty session formalises a set of concurrent communicating participants. We propose a type system for multiparty sessions where some communications between participants can be ignored. This allows us to type some sessions with global…

Logic in Computer Science · Computer Science 2023-08-22 Franco Barbanera , Mariangiola Dezani-Ciancaglini

The minimum number of NOT gates in a logic circuit computing a Boolean function is called the inversion complexity of the function. In 1957, A. A. Markov determined the inversion complexity of every Boolean function and proved that…

Discrete Mathematics · Computer Science 2015-11-02 Vadim V. Kochergin , Anna V. Mikhailovich

A discrete function of $n$ variables is a mapping $g : X_1 \times \ldots \times X_n \rightarrow A$, where $X_1, \ldots, X_n$, and $A$ are arbitrary finite sets. Function $g$ is called {\em separable} if there exist $n$ functions $g_i : X_i…

Combinatorics · Mathematics 2017-11-21 Endre Boros , Ondrej Cepek , Vladimir Gurvich

Next-generation multiple-input multiple-output (MIMO) systems, characterized by extremely large-scale arrays, holographic surfaces, three-dimensional architectures, and flexible antennas, are poised to deliver unprecedented data rates,…

Information Theory · Computer Science 2025-10-07 Jian Xiao , Ji Wang , Qi Sun , Qimei Cui , Xingwang Li , Dusit Niyato , Chih-Lin I

Over the past few years, the federated learning ($\texttt{FL}$) community has witnessed a proliferation of new $\texttt{FL}$ algorithms. However, our understating of the theory of $\texttt{FL}$ is still fragmented, and a thorough, formal…

Machine Learning · Computer Science 2025-05-23 Saber Malekmohammadi , Kiarash Shaloudegi , Zeou Hu , Yaoliang Yu

Communicating state machines provide a formal foundation for distributed computation. Unfortunately, they are Turing-complete and, thus, challenging to analyse. In this paper, we classify restrictions on channels which have been proposed to…

Formal Languages and Automata Theory · Computer Science 2022-09-22 Felix Stutz , Damien Zufferey

We define the Streaming Communication model that combines the main aspects of communication complexity and streaming. We consider two agents that want to compute some function that depends on inputs that are distributed to each agent. The…

Computational Complexity · Computer Science 2016-09-23 Lucas Boczkowski , Iordanis Kerenidis , Frédéric Magniez

The class $FORMULA[s] \circ \mathcal{G}$ consists of Boolean functions computable by size-$s$ de Morgan formulas whose leaves are any Boolean functions from a class $\mathcal{G}$. We give lower bounds and (SAT, Learning, and PRG) algorithms…

Computational Complexity · Computer Science 2020-02-21 Valentine Kabanets , Sajin Koroth , Zhenjian Lu , Dimitrios Myrisiotis , Igor Oliveira

Federated learning is a framework for distributed optimization that places emphasis on communication efficiency. In particular, it follows a client-server broadcast model and is particularly appealing because of its ability to accommodate…

Machine Learning · Computer Science 2022-03-30 Han Wang , Siddartha Marella , James Anderson

In this paper, we design secure multi-party computation (MPC) protocols in the asynchronous communication setting with optimal resilience. Our protocols are secure against a computationally-unbounded malicious adversary, characterized by an…

Cryptography and Security · Computer Science 2022-05-27 Ananya Appan , Anirudh Chandramouli , Ashish Choudhury

Optimization-based techniques for federated learning (FL) often come with prohibitive communication cost, as high dimensional model parameters need to be communicated repeatedly between server and clients. In this paper, we follow a…

Machine Learning · Computer Science 2024-06-05 Tim d'Hondt , Mykola Pechenizkiy , Robert Peharz

Multiparty session types (MP) are a type discipline for enforcing the structured, deadlock-free communication of concurrent and message-passing programs. Traditional MP have a limited form of choice in which alternative communication…

Logic in Computer Science · Computer Science 2024-06-10 Kirstin Peters , Nobuko Yoshida

This paper considers a game-theoretic formulation of the covert communications problem with finite blocklength, where the transmitter (Alice) can randomly vary her transmit power in different blocks, while the warden (Willie) can randomly…

Information Theory · Computer Science 2020-05-28 Alex S. Leong , Daniel E. Quevedo , Subhrakanti Dey

Symmetric submodular functions are an important family of submodular functions capturing many interesting cases including cut functions of graphs and hypergraphs. Maximization of such functions subject to various constraints receives little…

Data Structures and Algorithms · Computer Science 2016-04-19 Moran Feldman
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