Tools
Tools
Miclo, Laurent
ORCID: https://orcid.org/0000-0001-5502-2862
(2025)
On the convergence of global-optimization fraudulent stochastic algorithms.
Annales Henri Lebesgue, Vol.8.
pp. 569-587.
Official URL : http://tse-fr.eu/pub/131234
Identification Number : 10.5802/ahl.242
Abstract
We introduce and analyse the almost sure convergence of a new stochastic algorithm for the global minimization of Morse functions on compact Riemannian manifolds. This diffusion process is called fraudulent because it requires the knowledge of minimal value of the function to minimize. Its investigation is nevertheless important, since in particular it appears as the limit behavior of non-fraudulent and time-inhomogeneous swarm mean-field algorithms used in global optimization.
| Item Type: | Article |
|---|---|
| Language: | English |
| Date: | 2025 |
| Refereed: | Yes |
| Uncontrolled Keywords: | Global optimization, stochastic algorithms, diffusion processes on Riemannian manifolds, almost sure convergence, Morse functions, Bessel processes |
| Subjects: | B- ECONOMIE ET FINANCE |
| Divisions: | TSE-R (Toulouse) |
| Site: | UT1 |
| Date Deposited: | 28 Jan 2026 14:12 |
| Last Modified: | 28 Jan 2026 14:12 |
| OAI Identifier: | oai:tse-fr.eu:131234 |
| URI: | https://publications.ut-capitole.fr/id/eprint/51763 |
