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Michel Métivier

Researcher at École Polytechnique

Publications -  27
Citations -  2894

Michel Métivier is an academic researcher from École Polytechnique. The author has contributed to research in topics: Stochastic differential equation & Adaptive filter. The author has an hindex of 10, co-authored 27 publications receiving 2773 citations.

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BookDOI

Adaptive Algorithms and Stochastic Approximations

TL;DR: The juxtaposition of these two expressions in the title reflects the ambition of the authors to produce a reference work, both for engineers who use adaptive algorithms and for probabilists or statisticians who would like to study stochastic approximations in terms of problems arising from real applications.
Book

Stochastic partial differential equations in infinite dimensional spaces

TL;DR: In this article, the authors present a series of lectures Michel Metivier held at the Scuola Normale during the years 1986 and 1987 on weak solutions to stochastic partial equations, a topic that requires a deep knowledge of nonlinear functional analysis and probability.
Book ChapterDOI

Stochastic integral equations

TL;DR: In this paper, a theory for general stochastic integral equations with a Lipschitz-type hypothesis is presented and the stability of the solutions under small perturbations of the coefficients, initial conditions, and driving term is studied.
Book ChapterDOI

Rate of Convergence

TL;DR: In this chapter, the rate of convergence of the algorithm to its ODE and/or to the desired value θ* is described in more detail and the analysis is again asymptotic.