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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.

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Beginn: 12. Dezember 2018 10:00

Ende: 12. Dezember 2018 11:00