Maximum Likelihood Reconstruction for Ising Models with Asynchronous Updates

dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorZeng, Hong-Li
dc.contributor.authorAlava, Mikko J.
dc.contributor.authorAurell, Erik
dc.contributor.authorHertz, John
dc.contributor.authorRoudi, Yasser
dc.contributor.departmentTeknillisen fysiikan laitosfi
dc.contributor.departmentDepartment of Applied Physicsen
dc.contributor.schoolPerustieteiden korkeakoulufi
dc.contributor.schoolSchool of Scienceen
dc.date.accessioned2015-11-25T10:02:37Z
dc.date.available2015-11-25T10:02:37Z
dc.date.issued2013
dc.description.abstractWe describe how the couplings in an asynchronous kinetic Ising model can be inferred. We consider two cases: one in which we know both the spin history and the update times and one in which we know only the spin history. For the first case, we show that one can average over all possible choices of update times to obtain a learning rule that depends only on spin correlations and can also be derived from the equations of motion for the correlations. For the second case, the same rule can be derived within a further decoupling approximation. We study all methods numerically for fully asymmetric Sherrington-Kirkpatrick models, varying the data length, system size, temperature, and external field. Good convergence is observed in accordance with the theoretical expectations.en
dc.description.versionPeer revieweden
dc.format.extent210601/1-5
dc.format.mimetypeapplication/pdfen
dc.identifier.citationZeng, Hong-Li & Alava, Mikko J. & Aurell, Erik & Hertz, John & Roudi, Yasser. 2013. Maximum Likelihood Reconstruction for Ising Models with Asynchronous Updates. Physical Review Letters. Volume 110, Issue 21. 210601/1-5. ISSN 0031-9007 (printed). DOI: 10.1103/physrevlett.110.210601.en
dc.identifier.doi10.1103/physrevlett.110.210601
dc.identifier.issn0031-9007 (printed)
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/18768
dc.identifier.urnURN:NBN:fi:aalto-201511255279
dc.language.isoenen
dc.publisherAmerican Physical Society (APS)en
dc.relation.ispartofseriesPhysical Review Lettersen
dc.relation.ispartofseriesVolume 110, Issue 21
dc.rights© 2013 American Physical Society (APS). This is the accepted version of the following article: Zeng, Hong-Li & Alava, Mikko J. & Aurell, Erik & Hertz, John & Roudi, Yasser. 2013. Maximum Likelihood Reconstruction for Ising Models with Asynchronous Updates. Physical Review Letters. Volume 110, Issue 21. 210601/1-5. ISSN 0031-9007 (printed). DOI: 10.1103/physrevlett.110.210601, which has been published in final form at http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.110.210601.en
dc.rights.holderAmerican Physical Society (APS)
dc.subject.keywordIsing modelsen
dc.subject.keywordasynchronous updatesen
dc.subject.keywordspin correlationsen
dc.subject.keywordherrington-Kirkpatrick modelsen
dc.subject.otherPhysicsen
dc.titleMaximum Likelihood Reconstruction for Ising Models with Asynchronous Updatesen
dc.typeA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessäfi
dc.type.dcmitypetexten
dc.type.versionFinal published versionen
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