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Computability, in the presence of asynchrony and failures, is one of the central questions in distributed computing. The celebrated asynchronous computability theorem (ACT) characterizes the computing power of the read-write shared-memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-18 Guillermo Toyos-Marfurt , Petr Kuznetsov

The celebrated \emph{asynchronous computability theorem} provides a characterization of the class of decision tasks that can be solved in a wait-free manner by asynchronous processes that communicate by writing and taking atomic snapshots…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-18 Fernando Benavides , Sergio Rajsbaum

Cumulative memory -- the sum of space used per step over the duration of a computation -- is a fine-grained measure of time-space complexity that was introduced to analyze cryptographic applications like password hashing. It is a more…

Computational Complexity · Computer Science 2023-07-06 Paul Beame , Niels Kornerup

The celebrated Asynchronous Computability Theorem of Herlihy and Shavit (STOC 1993 and STOC 1994) provided a topological characterization of the tasks that are solvable in a distributed system where processes are communicating by writing…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-26 Carole Delporte , Hugues Fauconnier , Pierre Fraigniaud , Sergio Rajsbaum , Corentin Travers

Given any task $\Pi$, Brandt's speedup theorem (PODC 2019) provides a mechanical way to design another task~$\Pi'$ on the same input-set as $\Pi$ such that, for any $t\geq 1$, $\Pi$ is solvable in $t$ rounds if and only if $\Pi'$ is…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-05 Paul Bastide , Pierre Fraigniaud

We consider the parameterized verification problem for distributed algorithms where the goal is to develop techniques to prove the correctness of a given algorithm regardless of the number of participating processes. Motivated by an…

Formal Languages and Automata Theory · Computer Science 2022-04-26 Nathalie Bertrand , Nicolas Markey , Ocan Sankur , Nicolas Waldburger

Designing bounded-memory algorithms is becoming increasingly important nowadays. Previous works studying bounded-memory algorithms focused on proving impossibility results, while the design of bounded-memory algorithms was left relatively…

Machine Learning · Computer Science 2019-10-15 Michal Moshkovitz , Naftali Tishby

Biological and machine pattern recognition systems face a common challenge: Given sensory data about an unknown object, classify the object by comparing the sensory data with a library of internal representations stored in memory. In many…

Information Theory · Computer Science 2007-07-13 M. Brandon Westover , Joseph A. O'Sullivan

We study the maximum $k$-set coverage problem in the following distributed setting. A collection of sets $S_1,\ldots,S_m$ over a universe $[n]$ is partitioned across $p$ machines and the goal is to find $k$ sets whose union covers the most…

Data Structures and Algorithms · Computer Science 2018-08-24 Sepehr Assadi , Sanjeev Khanna

The asynchronous computability theorem (ACT) uses concepts from combinatorial topology to characterize which tasks have wait-free solutions in read-write memory. A task can be expressed as a relation between two chromatic simplicial…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-27 Vikram Saraph , Maurice Herlihy , Eli Gafni

Round complexity is an extensively studied metric of distributed algorithms. In contrast, our knowledge of the \emph{message complexity} of distributed computing problems and its relationship (if any) with round complexity is still quite…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-01 Fabien Dufoulon , Shreyas Pai , Gopal Pandurangan , Sriram Pemmaraju , Peter Robinson

In this paper, we consider a network of processors aiming at cooperatively solving mixed-integer convex programs subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2022-07-19 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Francesco Sasso , Roland Bouffanais

Biological information processing manifests a huge variety in its complexity and capability among different organisms, which presumably stems from the evolutionary optimization under limited computational resources. Starting from the…

Biological Physics · Physics 2025-10-21 Takehiro Tottori , Tetsuya J. Kobayashi

Emulating atomic read/write shared objects in a message-passing system is a fundamental problem in distributed computing. Considering that network communication is the most expensive resource, efficiency is measured first of all in terms of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-17 Theophanis Hadjistasi , Nicolas Nicolaou , Alexander A. Schwarzmann

The information transmission rate (ITR), or effective bit rate, is a popular and widely used information measurement metric, particularly popularized for SSVEP-based Brain-Computer (BCI) interfaces. By combining speed and accuracy into a…

Human-Computer Interaction · Computer Science 2023-06-13 Suayb S. Arslan , Pawan Sinha

We consider the verification of distributed systems composed of an arbitrary number of asynchronous processes. Processes are identical finite-state machines that communicate by reading from and writing to a shared memory. Beyond the…

Formal Languages and Automata Theory · Computer Science 2023-08-01 Nicolas Waldburger

Two parties observing correlated random variables seek to run an interactive communication protocol. How many bits must they exchange to simulate the protocol, namely to produce a view with a joint distribution within a fixed statistical…

Information Theory · Computer Science 2016-02-01 Himanshu Tyagi , Shaileshh Venkatakrishnan , Pramod Viswanath , Shun Watanabe

Transformer architectures have achieved state-of-the-art results on a variety of sequence modeling tasks. However, their attention mechanism comes with a quadratic complexity in sequence lengths, making the computational overhead…

Computation and Language · Computer Science 2022-06-03 Hao Peng , Jungo Kasai , Nikolaos Pappas , Dani Yogatama , Zhaofeng Wu , Lingpeng Kong , Roy Schwartz , Noah A. Smith

We explore multi-round quantum memoryless communication protocols. These are restricted version of multi-round quantum communication protocols. The "memoryless" term means that players forget history from previous rounds, and their behavior…

Computational Complexity · Computer Science 2017-10-05 Farid Ablayev , Andris Ambainis , Kamil Khadiev , AliyaKhadieva

During the last two decades, a small set of distributed computing models for networks have emerged, among which LOCAL, CONGEST, and Broadcast Congested Clique (BCC) play a prominent role. We consider hybrid models resulting from combining…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-05 Pierre Fraigniaud , Pedro Montealegre , Pablo Paredes , Ivan Rapaport , Martín Ríos-Wilson , Ioan Todinca
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