dc.contributor.author | Sundaram, S. | en |
dc.contributor.author | Hadjicostis, Christoforos N. | en |
dc.creator | Sundaram, S. | en |
dc.creator | Hadjicostis, Christoforos N. | en |
dc.date.accessioned | 2019-04-08T07:48:23Z | |
dc.date.available | 2019-04-08T07:48:23Z | |
dc.date.issued | 2008 | |
dc.identifier.isbn | 978-1-4244-3124-3 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/44915 | |
dc.description.abstract | Given a fixed network where each node has some given initial value, and under the constraint that each node receives noisy transmissions from its immediate neighbors, we provide a distributed scheme for any node to calculate an unbiased estimate of an arbitrary linear function of the initial values. Our scheme consists of a linear iteration where, at each time-step, each node updates its value to be a weighted average of its own previous value and those of its neighbors. We show that after repeating this process with almost any set of weights for a finite number of time-steps (upper bounded by the size of the network), any node in the network will be able to calculate an unbiased estimate of any linear function by taking a linear combination of the values that it sees over the course of the linear iteration. For a given set of weights, this linear combination can also be optimized to minimize the variance of the unbiased estimate calculated by each node. © 2008 IEEE. | en |
dc.source | Proceedings of the IEEE Conference on Decision and Control | en |
dc.source | Proceedings of the IEEE Conference on Decision and Control | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-62949117787&doi=10.1109%2fCDC.2008.4738918&partnerID=40&md5=fbc4566f386f9bf9d2b135ec86fc8841 | |
dc.subject | Linear combinations | en |
dc.subject | Initial values | en |
dc.subject | Finite numbers | en |
dc.subject | Linear functions | en |
dc.subject | Fixed networks | en |
dc.subject | Distributed calculations | en |
dc.subject | Distributed schemes | en |
dc.subject | Linear iterations | en |
dc.subject | Time steps | en |
dc.subject | Unbiased estimates | en |
dc.subject | Weighted averages | en |
dc.title | Distributed calculation of linear functions in noisy networks via linear iterations | en |
dc.type | info:eu-repo/semantics/conferenceObject | |
dc.identifier.doi | 10.1109/CDC.2008.4738918 | |
dc.description.startingpage | 5462 | |
dc.description.endingpage | 5467 | |
dc.author.faculty | Πολυτεχνική Σχολή / Faculty of Engineering | |
dc.author.department | Τμήμα Ηλεκτρολόγων Μηχανικών και Μηχανικών Υπολογιστών / Department of Electrical and Computer Engineering | |
dc.type.uhtype | Conference Object | en |
dc.contributor.orcid | Hadjicostis, Christoforos N. [0000-0002-1706-708X] | |
dc.gnosis.orcid | 0000-0002-1706-708X | |