Distributed anonymous function computation in information fusion and multiagent systems

We propose a model for deterministic distributed function computation by a network of identical and anonymous nodes, with bounded computation and storage capabilities that do not scale with the network size. Our goal is to characterize the class of functions that can be computed within this model. I...

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Main Authors: Hendrickx, Julien, Olshevsky, Alexander, Tsitsiklis, John N.
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:en_US
Published: Institute of Electrical and Electronics Engineers 2010
Online Access:http://hdl.handle.net/1721.1/59370
https://orcid.org/0000-0003-2658-8239
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author Hendrickx, Julien
Olshevsky, Alexander
Tsitsiklis, John N.
author2 Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
author_facet Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Hendrickx, Julien
Olshevsky, Alexander
Tsitsiklis, John N.
author_sort Hendrickx, Julien
collection MIT
description We propose a model for deterministic distributed function computation by a network of identical and anonymous nodes, with bounded computation and storage capabilities that do not scale with the network size. Our goal is to characterize the class of functions that can be computed within this model. In our main result, we exhibit a class of non-computable functions, and prove that every function outside this class can at least be approximated. The problem of computing averages in a distributed manner plays a central role in our development.
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spelling mit-1721.1/593702022-09-30T07:27:36Z Distributed anonymous function computation in information fusion and multiagent systems Hendrickx, Julien Olshevsky, Alexander Tsitsiklis, John N. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology. Laboratory for Information and Decision Systems Tsitsiklis, John N. Hendrickx, Julien Olshevsky, Alexander Tsitsiklis, John N. We propose a model for deterministic distributed function computation by a network of identical and anonymous nodes, with bounded computation and storage capabilities that do not scale with the network size. Our goal is to characterize the class of functions that can be computed within this model. In our main result, we exhibit a class of non-computable functions, and prove that every function outside this class can at least be approximated. The problem of computing averages in a distributed manner plays a central role in our development. National Science Foundation (U.S.) (grant ECCS-0701623) 2010-10-15T15:14:20Z 2010-10-15T15:14:20Z 2010-01 2009-09 Article http://purl.org/eprint/type/JournalArticle 978-1-4244-5870-7 INSPEC Accession Number: 11135206 http://hdl.handle.net/1721.1/59370 Hendrickx, J.M., A. Olshevsky, and J.N. Tsitsiklis. “Distributed anonymous function computation in information fusion and multiagent systems.” Communication, Control, and Computing, 2009. Allerton 2009. 47th Annual Allerton Conference on. 2009. 1582-1589. © Copyright 2010 IEEE https://orcid.org/0000-0003-2658-8239 en_US http://dx.doi.org/10.1109/ALLERTON.2009.5394487 47th Annual Allerton Conference on Communication, Control, and Computing, 2009 Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Institute of Electrical and Electronics Engineers IEEE
spellingShingle Hendrickx, Julien
Olshevsky, Alexander
Tsitsiklis, John N.
Distributed anonymous function computation in information fusion and multiagent systems
title Distributed anonymous function computation in information fusion and multiagent systems
title_full Distributed anonymous function computation in information fusion and multiagent systems
title_fullStr Distributed anonymous function computation in information fusion and multiagent systems
title_full_unstemmed Distributed anonymous function computation in information fusion and multiagent systems
title_short Distributed anonymous function computation in information fusion and multiagent systems
title_sort distributed anonymous function computation in information fusion and multiagent systems
url http://hdl.handle.net/1721.1/59370
https://orcid.org/0000-0003-2658-8239
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