Аннотация:
It is well-known that the simple random walk on a graph is closely related to the normalized Laplace operator, and that this connection yields interesting applications to data analysis - PageRank type methods, for instance. I will explain a way to define a random walk on simplicial complexes that relates to the higher order (aka Hodge) Laplacians in a similar — albeit somewhat more complicated — manner. This, in turn, can be used to devise methods to analyze data that is naturally represented as a simplicial complex.
Язык доклада: английский
|
