Orlando Marigliano (MPI MIS, Leipzig): Sampling from the uniform distribution on an algebraic manifold
Ort: MPI für Mathematik in den Naturwissenschaften Leipzig, Inselstr. 22, G3 10 (Hörsaal)
An algebraic manifold is a submanifold of the smooth locus of some real variety embedded in affine space. We can choose a point on it by first choosing a hyperplane of the right codimension and then choosing one of the intersection points of the plane with the manifold. In this talk, I explain how to do this such that the chosen point is uniformly distributed. I show examples of the corresponding algorithm for sampling in action and highlight a connection to topological data analysis.
Beginn: 12. Dezember 2018 10:00
Ende: 12. Dezember 2018 11:00