En poursuivant votre navigation sur ce site, vous acceptez l'utilisation d'un simple cookie d'identification. Aucune autre exploitation n'est faite de ce cookie. OK
1

Projected particle methods for solving McKean Vlasov SDEs

Bookmarks Report an error
Multi angle
Authors : Belomestny, Denis (Author of the conference)
CIRM (Publisher )

Loading the player...

Abstract : We propose a novel projection-based particle method for solving the McKean-Vlasov stochastic differential equations. Our approach is based on a projection-type estimation of the marginal density of the solution in each time step.
The projection-based particle method leads in many situation to a significant reduction of numerical complexity compared to the widely used kernel density estimation algorithms.
We derive strong convergence rates and rates of density estimation. The convergence analysis in the case of linearly growing coefficients turns out to be rather challenging and requires some new type of averaging technique.
This case is exemplified by explicit solutions to a class of McKean-Vlasov equations with affine drift.
The performance of the proposed algorithm is illustrated by several numerical examples.

MSC Codes :
65C30 - Stochastic differential and integral equations
65C35 - Stochastic particle methods (numerical analysis)

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 03/08/17
    Conference Date : 02/08/17
    Subseries : Research talks
    arXiv category : Numerical Analysis
    Mathematical Area(s) : Numerical Analysis & Scientific Computing
    Format : MP4 (.mp4) - HD
    Video Time : 00:53:14
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2017-08-02_Belomestny.mp4

Information on the Event

Event Title : CEMRACS: Numerical methods for stochastic models: control, uncertainty quantification, mean-field / CEMRACS : Méthodes numériques pour équations stochastiques : contrôle, incertitude, champ moyen
Event Organizers : Bouchard, Bruno ; Chassagneux, Jean-François ; Delarue, François ; Gobet, Emmanuel ; Lelong, Jérôme
Dates : 17/07/17 - 25/08/17
Event Year : 2017
Event URL : http://conferences.cirm-math.fr/1556.html

Citation Data

DOI : 10.24350/CIRM.V.19204403
Cite this video as: Belomestny, Denis (2017). Projected particle methods for solving McKean Vlasov SDEs. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19204403
URI : http://dx.doi.org/10.24350/CIRM.V.19204403

See Also

Bibliography



Bookmarks Report an error