Mathematics Department Colloquium - May 16, 2024 Stony Brook University Sara Kalisnik, ETH Title: On the Applications of Topology Abstract: In recent years, techniques originating in topology have been adapted to the study of large and complex data sets. In this talk I will present two of the most prominent topological methods: persistent homology and mapper. I will also show numerous applications to computer vision, biology, medicine etc. and briefly explain how they can be used in combination with traditional machine learning techniques.

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