Optimization on diffeological spaces

Abstract 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 methods known manifolds spaces, define various objects like tangent space, Riemannian space as well gradient. addition give definition retraction. These necessary for formulating steepest descent method We and apply it an example.