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In this work, we study the $k$-median and $k$-means clustering problems when the data is distributed across many servers and can contain outliers. While there has been a lot of work on these problems for worst-case instances, we focus on…

Data Structures and Algorithms · Computer Science 2019-03-08 Pranjal Awasthi , Ainesh Bakshi , Maria-Florina Balcan , Colin White , David Woodruff

Infinite games with imperfect information are known to be undecidable unless the information flow is severely restricted. One fundamental decidable case occurs when there is a total ordering among players, such that each player has access…

Computer Science and Game Theory · Computer Science 2016-07-19 Dietmar Berwanger , Anup Basil Mathew , Marie van den Bogaard

In this paper we investigate how so-called quorum-sensing networks can be de-synchronized. Such networks, which arise in many important application fields such as systems biology, are characterized by the fact that direct communication…

Adaptation and Self-Organizing Systems · Physics 2017-04-20 Giovanni Russo

We argue that the tools of decision theory need to be taken more seriously in the specification and analysis of systems. We illustrate this by considering a simple problem involving reliable communication, showing how considerations of…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Francis C. Chu , Joseph Y. Halpern

Message-passing models of distributed computing vary along numerous dimensions: degree of synchrony, kind of faults, number of faults... Unfortunately, the sheer number of models and their subtle distinctions hinder our ability to design a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-13 Adam Shimi , Aurélie Hurault , Philippe Quéinnec

With the advancement of technologies like Industry 4.0, communication networks must meet stringent requirements of applications demanding deterministic and bounded latencies. The problem is further compounded by the need to periodically…

Networking and Internet Architecture · Computer Science 2024-07-15 Aviroop Ghosh , Saleh Yousefi , Thomas Kunz

This note studies a network of agents having continuous-time dynamics with quantized interactions and time-varying directed topology. Due to the discontinuity of the dynamics, solutions of the resulting ODE system are intended in the sense…

Optimization and Control · Mathematics 2011-11-18 Paolo Frasca

The task of implementing a supervisory controller is non-trivial, even though different theories exist that allow automatic synthesis of these controllers in the form of automata. One of the reasons for this discord is due to the…

Logic in Computer Science · Computer Science 2010-10-28 Harsh Beohar , Pieter Cuijpers

With the emergence of time-critical applications in modern communication networks, there is a growing demand for proactive network adaptation and quality of service (QoS) prediction. However, a fundamental question remains largely…

Networking and Internet Architecture · Computer Science 2025-04-28 Samie Mostafavi , Simon Egger , György Dán , James Gross

We address the problem of determining if a discrete time switched consensus system converges for any switching sequence and that of determining if it converges for at least one switching sequence. For these two problems, we provide…

Systems and Control · Computer Science 2015-05-22 Pierre-Yves Chevalier , Julien M. Hendrickx , Raphaël M. Jungers

A natural way to measure the power of a distributed-computing model is to characterize the set of tasks that can be solved in it. %the model. In general, however, the question of whether a given task can be solved in a given model is…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-23 Carole Delporte-Gallet , Hugues Fauconnier , Eli Gafni , Petr Kuznetsov

Among fundamental problems in the context of distributed computing by autonomous mobile entities, one of the most representative and well studied is {\sc Point Convergence}: given an arbitrary initial configuration of identical entities,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-28 David Kirkpatrick , Irina Kostitsyna , Alfredo Navarra , Giuseppe Prencipe , Nicola Santoro

This manuscript discusses a scalable controller synthesis method for networked systems with a large number of identical subsystems based on the H-infinity control framework. The dynamics of the individual subsystems are described by…

Optimization and Control · Mathematics 2020-09-10 Pieter Appeltans , Wim Michiels

We investigate the problem of deterministic pattern matching in multiple streams. In this model, one symbol arrives at a time and is associated with one of s streaming texts. The task at each time step is to report if there is a new match…

Data Structures and Algorithms · Computer Science 2012-04-26 Raphael Clifford , Markus Jalsenius , Ely Porat , Benjamin Sach

In this paper, we deal the following decision problem: given a conjunctive Boolean network defined by its interaction digraph, does it have a limit cycle of a given length k? We prove that this problem is NP-complete in general if k is a…

Discrete Mathematics · Computer Science 2022-03-23 Julio Aracena , Florian Bridoux , Luis Gómez , Lilian Salinas

Consider a complete communication network of $n$ nodes, where the nodes receive a common clock pulse. We study the synchronous $c$-counting problem: given any starting state and up to $f$ faulty nodes with arbitrary behaviour, the task is…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-24 Christoph Lenzen , Joel Rybicki , Jukka Suomela

We consider the problem of sending a message from a sender $s$ to a receiver $r$ through an unreliable network by specifying in a protocol what each vertex is supposed to do if it receives the message from one of its neighbors. A protocol…

Combinatorics · Mathematics 2017-05-19 André Kündgen , Janina Patno

The paper considers the complexity of verifying that a finite state system satisfies a number of definitions of information flow security. The systems model considered is one in which agents operate synchronously with awareness of the…

Cryptography and Security · Computer Science 2014-02-05 Franck Cassez , Ron van der Meyden , Chenyi Zhang

In this paper we consider the k-set agreement problem in distributed message-passing systems using a round-based approach: Both synchrony of communication and failures are captured just by means of the messages that arrive within a round,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Martin Biely , Peter Robinson , Ulrich Schmid

Synchronization problem for linear coupled networks is a hot topic in recent decade. However, until now, some confused concepts and results still puzzle people. To avoid further misleading researchers, it is necessary to point out these…

Chaotic Dynamics · Physics 2013-06-21 Tianping Chen
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