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Семинар международной лаборатории алгебраической топологии и ее приложений (АТиП)
28 мая 2021 г. 18:10–19:40, г. Москва, Подключиться к конференции Zoom https://us02web.zoom.us/j/89258305301?pwd=RlMwMDlhZFg5WUhDSHhpeXYvT1FwQT09 Идентификатор конференции:892 5830 5301. Код доступа необходимо запросить у менеджера лаборатории
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[Hodge Laplacian via random walks on simplicial complexes]
Г. Липпнер |
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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
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