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We present the first nearly-optimal bounds on the consensus time for the well-known synchronous consensus dynamics, specifically 3-Majority and 2-Choices, for an arbitrary number of opinions. In synchronous consensus dynamics, we consider…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-05 Nobutaka Shimizu , Takeharu Shiraga

Policy optimization methods are one of the most widely used classes of Reinforcement Learning (RL) algorithms. However, theoretical understanding of these methods remains insufficient. Even in the episodic (time-inhomogeneous) tabular…

Machine Learning · Computer Science 2022-12-06 Tianhao Wu , Yunchang Yang , Han Zhong , Liwei Wang , Simon S. Du , Jiantao Jiao

In this paper, we investigate the distributed shortest distance optimization problem for a multi-agent network to cooperatively minimize the sum of the quadratic distances from some convex sets, where each set is only associated with one…

Systems and Control · Computer Science 2016-02-04 Youcheng Lou , Yiguang Hong , Shouyang Wang

We revisit the MaxSAT problem in the data stream model. In this problem, the stream consists of $m$ clauses that are disjunctions of literals drawn from $n$ Boolean variables. The objective is to find an assignment to the variables that…

Data Structures and Algorithms · Computer Science 2022-08-22 Hoa T. Vu

Many streaming algorithms provide only a high-probability relative approximation. These two relaxations, of allowing approximation and randomization, seem necessary -- for many streaming problems, both relaxations must be employed…

Data Structures and Algorithms · Computer Science 2023-05-16 Vladimir Braverman , Robert Krauthgamer , Aditya Krishnan , Shay Sapir

We propose a self-stabilizing algorithm for computing a maximal matching in an anonymous network. The complexity is $O(n^3)$ moves with high probability, under the adversarial distributed daemon. In this algorithm, each node can determine…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Johanne Cohen , Jonas Lefèvre , Khaled Maâmra , Laurence Pilard , Devan Sohier

Population protocols are a model of computation in which an arbitrary number of indistinguishable finite-state agents interact in pairs. The goal of the agents is to decide by stable consensus whether their initial global configuration…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-13 Philipp Czerner , Javier Esparza , Jérôme Leroux

We consider the problem of perfect (information-theoretically) secure message transmission (PSMT) from a sender $S$ to a receiver $R$ in asynchronous directed networks tolerating dual adversary. The adversary can control at most $t_p$ nodes…

Cryptography and Security · Computer Science 2019-01-11 Anupriya Inumella

Modern web applications replicate their data across the globe and require strong consistency guarantees for their most critical data. These guarantees are usually provided via state-machine replication (SMR). Recent advances in SMR have…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-27 Vitor Enes , Carlos Baquero , Alexey Gotsman , Pierre Sutra

We present the first polynomial self-stabilizing algorithm for finding a $\frac23$-approximation of a maximum matching in a general graph. The previous best known algorithm has been presented by Manne \emph{et al.} \cite{ManneMPT11} and has…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-21 Johanne Cohen , Khaled Maâmra , George Manoussakis , Laurence Pilard

An algorithm for $n-1$-strong-equillibrium for distributed consensus in a ring with rational agents was proposed by Afek et al. (2014). A proof of impossibility of $n-1$-strong-equillibrium for distributed consensus in every topology with…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-17 Amit Jacob Fanani , Itay Harel

Population protocols (Angluin et al., PODC, 2004) are a formal model of sensor networks consisting of identical mobile devices. Two devices can interact and thereby change their states. Computations are infinite sequences of interactions…

Logic in Computer Science · Computer Science 2018-08-15 Javier Esparza , Pierre Ganty , Rupak Majumdar , Chana Weil-Kennedy

The problem addressed in this paper is the analysis of a distributed consensus algorithm for arbitrary networks, proposed by B\'en\'ezit et al.. In the initial setting, each node in the network has one of two possible states ("yes" or…

Performance · Computer Science 2013-05-21 Shang Shang , Paul W. Cuff , Sanjeev R. Kulkarni , Pan Hui

This paper addresses the collision detection problem in population protocols. The network consists of state machines called agents. At each time step, exactly one pair of agents is chosen uniformly at random to have an interaction, changing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-18 Takumi Araya , Yuichi Sudo

Extending well-structured transition systems to incorporate a probabilistic scheduling rule, we define a new class of stochastic well-structured transition systems that includes population protocols, chemical reaction networks, and many…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-25 James Aspnes

Karpinski and Nekrich (2008) introduced the problem of parameterized range majority, which asks to preprocess a string of length $n$ such that, given the endpoints of a range, one can quickly find all the distinct elements whose relative…

Data Structures and Algorithms · Computer Science 2014-07-15 Djamal Belazzougui , Travis Gagie , Gonzalo Navarro

In this paper, we introduce regularized stochastic team problems. Under mild assumptions, we prove that there exists an unique fixed point of the best response operator, where this unique fixed point is the optimal regularized team decision…

Optimization and Control · Mathematics 2020-11-09 Naci Saldi

This paper concerns {\em randomized} leader election in synchronous distributed networks. A distributed leader election algorithm is presented for complete $n$-node networks that runs in O(1) rounds and (with high probability) uses only…

Data Structures and Algorithms · Computer Science 2013-05-16 Shay Kutten , Gopal Pandurangan , David Peleg , Peter Robinson , Amitabh Trehan

We analyze a class of distributed quantized consen- sus algorithms for arbitrary networks. In the initial setting, each node in the network has an integer value. Nodes exchange their current estimate of the mean value in the network, and…

Applications · Statistics 2013-05-21 Shang Shang , Paul W. Cuff , Pan Hui , Sanjeev R. Kulkarni

We consider synchronous distributed systems in which anonymous processors communicate by shared read-write variables. The goal is to have all the processors assign unique names to themselves. We consider the instances of this problem…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-09-02 Bogdan S. Chlebus , Gianluca De Marco , Muhammed Talo
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