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Algorithms having uniform convergence with respect to their initial condition (i.e., with fixed-time stability) are receiving increasing attention for solving control and observer design problems under time constraints. However, we still…

A randomized algorithm for a search problem is *pseudodeterministic* if it produces a fixed canonical solution to the search problem with high probability. In their seminal work on the topic, Gat and Goldwasser posed as their main open…

计算复杂性 · 计算机科学 2025-12-05 Lijie Chen , Zhenjian Lu , Igor C. Oliveira , Hanlin Ren , Rahul Santhanam

Topological self-stabilization describes the ability of a distributed system to let the nodes themselves establish a meaningful overlay network. Independent from the initial network topology, the system converges to the desired topology via…

计算机科学中的逻辑 · 计算机科学 2016-04-15 Christina Rickmann

The population protocol model is a computational model for passive mobile agents. We address the leader election problem, which determines a unique leader on arbitrary communication graphs starting from any configuration. Unfortunately,…

分布式、并行与集群计算 · 计算机科学 2025-11-10 Haruki Kanaya , Ryota Eguchi , Taisho Sasada , Michiko Inoue

In distributed model predictive control (DMPC), where a centralized optimization problem is solved in distributed fashion using dual decomposition, it is important to keep the number of iterations in the solution algorithm, i.e. the amount…

最优化与控制 · 数学 2013-07-11 Pontus Giselsson , Anders Rantzer

The maximum independent set problem is a classical NP-hard problem in theoretical computer science. In this work, we study a special case where the family of graphs considered is restricted to intersection graphs of sets of axis-aligned…

数据结构与算法 · 计算机科学 2024-10-10 Rishi Advani , Abolfazl Asudeh

Research of delayed neural networks with variable self-inhibitions, inter-connection weights, and inputs is an important issue. %In the real world, self-inhibitions, %inter-connection weights, and inputs should vary through time. In In this…

动力系统 · 数学 2007-05-23 Wenlian Lu , Tianping Chen

This paper demonstrates the usefulness of distributed local verification of proofs, as a tool for the design of self-stabilizing algorithms.In particular, it introduces a somewhat generalized notion of distributed local proofs, and utilizes…

分布式、并行与集群计算 · 计算机科学 2015-12-25 Amos Korman , Shay Kutten , Toshimitsu Masuzawa

In the area of distributed graph algorithms a number of network's entities with local views solve some computational task by exchanging messages with their neighbors. Quite unfortunately, an inherent property of most existing distributed…

数据结构与算法 · 计算机科学 2019-01-15 Merav Parter , Eylon Yogev

Lower bounds and impossibility results in distributed computing are both intellectually challenging and practically important. Hundreds if not thousands of proofs appear in the literature, but surprisingly, the vast majority of them apply…

分布式、并行与集群计算 · 计算机科学 2021-10-13 Guy Goren , Yoram Moses , Alexander Spiegelman

Finding a maximal independent set (MIS) in a graph is a cornerstone task in distributed computing. The local nature of an MIS allows for fast solutions in a static distributed setting, which are logarithmic in the number of nodes or in…

分布式、并行与集群计算 · 计算机科学 2015-07-17 Keren Censor-Hillel , Elad Haramaty , Zohar Karnin

We investigate leader election problem via ranking within self-stabilising population protocols. In this scenario, the agent's state space comprises $n$ rank states and $x$ extra states. The initial configuration of $n$ agents consists of…

分布式、并行与集群计算 · 计算机科学 2025-05-06 Leszek Gąsieniec , Tytus Grodzicki , Grzegorz Stachowiak

We study the transport properties of nonautonomous chaotic dynamical systems over a finite time duration. We are particularly interested in those regions that remain coherent and relatively non-dispersive over finite periods of time,…

动力系统 · 数学 2015-05-19 Gary Froyland , Naratip Santitissadeekorn , Adam Monahan

Algorithmic graph theory has thoroughly analyzed how, given a network describing constraints between various nodes, groups can be formed among these so that the resulting configuration optimizes a \emph{global} metric. In contrast, for…

离散数学 · 计算机科学 2014-02-13 Guillaume Ducoffe , Dorian Mazauric , Augustin Chaintreau

Providing generalization guarantees for stochastic optimization algorithms remains a key challenge in learning theory. Recently, numerous works demonstrated the impact of the geometric properties of optimization trajectories on…

机器学习 · 计算机科学 2026-01-23 Mario Tuci , Lennart Bastian , Benjamin Dupuis , Nassir Navab , Tolga Birdal , Umut Şimşekli

In this paper we present an algorithmic framework for solving a class of combinatorial optimization problems on graphs with bounded pathwidth. The problems are NP-hard in general, but solvable in linear time on this type of graphs. The…

数据结构与算法 · 计算机科学 2012-12-18 Mugurel Ionut Andreica

We analyze the impact of transient and Byzantine faults on the construction of a maximal independent set in a general network. We adapt the self-stabilizing algorithm presented by Turau \cite{turau2007linear} for computing such a vertex…

分布式、并行与集群计算 · 计算机科学 2021-11-17 Johanne Cohen , Laurence Pilard , Jonas Sénizergues

We consider a distributed computing network consisting of a master and multiple workers processing tasks of different types. The master is running multiple applications. Each application stochastically generates real-time jobs with a strict…

分布式、并行与集群计算 · 计算机科学 2020-01-31 Yu-Pin Hsu , Yu-Chih Huang , Shin-Lin Shieh

We present a fully-distributed self-healing algorithm DEX, that maintains a constant degree expander network in a dynamic setting. To the best of our knowledge, our algorithm provides the first efficient distributed construction of…

分布式、并行与集群计算 · 计算机科学 2013-10-22 Gopal Pandurangan , Peter Robinson , Amitabh Trehan

In this paper, we formulate and investigate a generalized consensus algorithm which makes an attempt to unify distributed averaging and maximizing algorithms considered in the literature. Each node iteratively updates its state as a…

分布式、并行与集群计算 · 计算机科学 2012-09-06 Guodong Shi , Karl Henrik Johansson