Skip to Main content Skip to Navigation
Journal articles

Fitting coefficients of differential systems with Monte Carlo methods

Abstract : We consider the problem of estimating the coefficients in a system of differential equations when a trajectory of the system is known at a set of times. To do this, we use a simple Monte Carlo sampling method, known as the rejection sampling algorithm. Unlike deterministic methods, it does not provide a point estimate of the coefficients directly, but rather a collection of values that "fits" the known data well. An examination of the properties of the method allows us not only to better understand how to choose the different parameters when implementing the method, but also to introduce a more efficient method by using a new two-step approach which we call sequential rejection sampling. Several examples are presented to illustrate the performance of both the original and the new methods.
Document type :
Journal articles
Complete list of metadata

Cited literature [8 references]  Display  Hide  Download

https://hal.inria.fr/hal-01320623
Contributor : Coordination Episciences Iam <>
Submitted on : Tuesday, May 24, 2016 - 11:01:15 AM
Last modification on : Saturday, October 17, 2020 - 6:52:02 PM

File

vol.20.pp.25-46.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-01320623, version 1

Collections

Citation

Christian Chan Shio, Francine Diener. Fitting coefficients of differential systems with Monte Carlo methods. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2015, 20, pp.25-46. ⟨hal-01320623⟩

Share

Metrics

Record views

174

Files downloads

603