dc.contributor.author |
Donovan, Graham |
en |
dc.contributor.author |
Kath, WL |
en |
dc.date.accessioned |
2012-03-05T23:59:17Z |
en |
dc.date.issued |
2011 |
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dc.identifier.citation |
SIAM Journal on Applied Mathematics 71(3):903-924 2011 |
en |
dc.identifier.issn |
0036-1399 |
en |
dc.identifier.uri |
http://hdl.handle.net/2292/12994 |
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dc.description.abstract |
We describe an iterative method capable of determining large deviations responsible for rare events of interest in lightwave systems with additive noise. The method makes use of the singular value decomposition (SVD) to efficiently compute the most important directions in state space, and a stochastic optimization scheme known as the cross-entropy (CE) method to determine the most probable manner in which these large deviations arise. Information from the SVD and CE steps of the method provides a basis for performing importance sampling with Monte Carlo simulation, allowing one to determine the probabilities of the rare events associated with such large deviations. We apply the combined method to investigate some of the mechanisms affecting large amplitude fluctuations in optical systems. |
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dc.publisher |
Society for Industrial and Applied Mathematic |
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dc.relation.ispartofseries |
SIAM Journal on Applied Mathematics |
en |
dc.rights |
Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. |
en |
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
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dc.title |
An iterative stochastic method for simulating large deviations and rare events |
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dc.type |
Journal Article |
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dc.identifier.doi |
10.1137/100789373 |
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pubs.issue |
3 |
en |
pubs.begin-page |
903 |
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pubs.volume |
71 |
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dc.rights.holder |
Copyright: Society for Industrial and Applied Mathematic |
en |
pubs.end-page |
924 |
en |
dc.rights.accessrights |
http://purl.org/eprint/accessRights/RestrictedAccess |
en |
pubs.subtype |
Article |
en |
pubs.elements-id |
213999 |
en |
pubs.org-id |
Science |
en |
pubs.org-id |
Mathematics |
en |
pubs.record-created-at-source-date |
2012-02-28 |
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