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hal.structure.identifierMéthodes avancées d’apprentissage statistique et de contrôle [ASTRAL]
dc.contributor.authorDEL MORAL, Pierre
hal.structure.identifierDepartment of Engineering [Cambridge]
dc.contributor.authorSINGH, Sumeetpal Sidhu
dc.date.accessioned2024-04-04T02:46:34Z
dc.date.available2024-04-04T02:46:34Z
dc.date.issued2019-06-21
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191565
dc.description.abstractEnWe present a novel backward Itô-Ventzell formula and an extension of the Aleeksev-Gr\"obner interpolating formula to stochastic flows. We also present some natural spectral conditions that yield direct and simple proofs of time uniform estimates of the difference between the two stochastic flows when their drift and diffusion functions are not the same, yielding what seems to be the first results of this type for this class of anticipative models. We illustrate the impact of these results in the context of diffusion perturbation theory, interacting diffusions and discrete time approximations
dc.language.isoen
dc.subject.enBismut-Elworthy-Li formulae Mathematics Subject Classification : 47D07
dc.subject.enbackward Itô-Ventzell formula
dc.subject.enPerturbation semigroups
dc.subject.enMalliavin differential
dc.subject.enBismut-Elworthy-Li formulae
dc.subject.enSkorohod stochastic integral
dc.subject.enTangent and Hessian processes
dc.subject.enAleeksev-Gröbner lemma
dc.subject.envariational equations
dc.subject.entangent and Hessian processes
dc.subject.enperturba- tion semigroups
dc.subject.enVariational equations
dc.subject.enStochastic flows
dc.subject.enBackward Itô-Ventzell formula
dc.subject.en93E15
dc.subject.en60H07
dc.title.enBackward Itô-Ventzell and stochastic interpolation formulae
dc.typeRapport
dc.subject.halMathématiques [math]/Probabilités [math.PR]
dc.subject.halMathématiques [math]/Systèmes dynamiques [math.DS]
dc.identifier.arxiv1906.09145
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.type.institutionINRIA
bordeaux.type.reportrr
hal.identifierhal-02161914
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02161914v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2019-06-21&rft.au=DEL%20MORAL,%20Pierre&SINGH,%20Sumeetpal%20Sidhu&rft.genre=unknown


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