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We explore the fundamental limits of distributed balls-into-bins algorithms. We present an adaptive symmetric algorithm that achieves a bin load of two in log* n+O(1) communication rounds using O(n) messages in total. Larger bin loads can…

Computational Complexity · Computer Science 2011-03-01 Christoph Lenzen , Roger Wattenhofer

We consider transmission over a general memoryless channel, with bounded decoding complexity per bit under message passing decoding. We show that the achievable rate is bounded below capacity if there is a finite success in the decoding in…

Information Theory · Computer Science 2007-07-13 Pulkit Grover

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

Population protocols are a model of distributed computing, in which $n$ agents with limited local state interact randomly, and cooperate to collectively compute global predicates. An extensive series of papers, across different communities,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-17 Dan Alistarh , James Aspnes , Rati Gelashvili

Des travaux r\'{e}cents visent l'optimisation des op\'{e}rations de communication collective dans les environnements de type grille de calcul. La solution la plus r\'{e}pandue est la s\'{e}paration des communications internes et externes…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-16 Luiz Angelo Barchet-Estefanel , Grégory Mounié

For many distributed algorithms, neighborhood size is an important parameter. In radio networks, however, obtaining this information can be difficult due to ad hoc deployments and communication that occurs on a collision-prone shared…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-09 Calvin Newport , Chaodong Zheng

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

Energy is often the most constrained resource in networks of battery-powered devices, and as devices become smaller, they spend a larger fraction of their energy on communication (transceiver usage) not computation. As an imperfect proxy…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-06 Yi-Jun Chang , Varsha Dani , Thomas P. Hayes , Qizheng He , Wenzheng Li , Seth Pettie

We present a compact matrix formulation of the modularity, a commonly used quality measure for the community division in a network. Using this formulation we calculate the density of modularities, a statistical measure of the probability of…

Statistical Mechanics · Physics 2016-08-16 Erik Holmström , Nicolas Bock , Johan Brännlund

We establish novel connections between magic in quantum circuits and communication complexity. In particular, we show that functions computable with low magic have low communication cost. Our first result shows that the $\mathsf{D}\|$…

Quantum Physics · Physics 2025-10-09 Uma Girish , Alex May , Natalie Parham , Henry Yuen

Modern distributed computation infrastructures are often plagued by unavailabilities such as failing or slow servers. These unavailabilities adversely affect the tail latency of computation in distributed infrastructures. The simple…

Information Theory · Computer Science 2020-02-07 Michael Rudow , K. V. Rashmi , Venkatesan Guruswami

We show how to compress communication in selection protocols, where the goal is to agree on a sequence of random bits using only a broadcast channel. More specifically, we present a generic method for converting any selection protocol, into…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-14 Yael Tauman Kalai , Ilan Komargodski

We prove a general lower bound on the bounded-error entanglement-assisted quantum communication complexity of Boolean functions. The bound is based on the concept that any classical or quantum protocol to evaluate a function on distributed…

Quantum Physics · Physics 2011-11-09 Ashley Montanaro , Andreas Winter

We consider the distributed function computation problem in asymmetric communication scenarios, where the sink computes some deterministic function of the data split among N correlated informants. The distributed function computation…

Information Theory · Computer Science 2009-07-13 Samar Agnihotri , Rajesh Venkatachalapathy

The congested clique is a synchronous, message-passing model of distributed computing in which each computational unit (node) in each round can send message of O(log n) bits to each other node of the network, where n is the number of nodes.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-28 Tomasz Jurdzinski , Krzysztof Nowicki

Modularity is widely used to effectively measure the strength of the community structure found by community detection algorithms. However, modularity maximization suffers from two opposite yet coexisting problems: in some cases, it tends to…

Social and Information Networks · Computer Science 2017-01-02 Mingming Chen , Tommy Nguyen , Boleslaw K. Szymanski

Population protocols are a fundamental model in distributed computing, where many nodes with bounded memory and computational power have random pairwise interactions over time. This model has been studied in a rich body of literature aiming…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-05 Simina Branzei , Yuval Peres

We consider a multi-agent network where each node has a stochastic (local) cost function that depends on the decision variable of that node and a random variable, and further the decision variables of neighboring nodes are pairwise…

Optimization and Control · Mathematics 2021-12-24 Navjot Singh , Xuanyu Cao , Suhas Diggavi , Tamer Basar

Mini-batch stochastic gradient descent (SGD) is state of the art in large scale distributed training. The scheme can reach a linear speedup with respect to the number of workers, but this is rarely seen in practice as the scheme often…

Optimization and Control · Mathematics 2019-05-06 Sebastian U. Stich

In this work we address the question of efficiency of distributed computing in anonymous, congested and highly dynamic and not-always-connected networks/systems. More precisely, the system consists of an unknown number of anonymous nodes…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-16 Dariusz R. Kowalski , Miguel A. Mosteiro