| Autor: |
Goldammer, Nico, Welker, Kathrin |
| Předmět: |
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| Zdroj: |
PAMM: Proceedings in Applied Mathematics & Mechanics; Dec2021 Suppelment S1, Vol. 21, p1-1, 1p |
| Abstrakt: |
On this poster, we present optimization techniques on diffeological spaces. Diffeological spaces firstly introduced by J.M. Souriau in the 1980s are a natural generalization of smooth manifolds. In order to generalize optimization methods known on manifolds to diffeological spaces, we define various objects like a diffeological tangent space, a diffeological Riemannian space as well as a diffeological gradient. In addition we give the definition of a diffeological retraction. These objects are necessary for formulating the steepest descent method on diffeological spaces. We present this method and apply it on an example. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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