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'''The Mapper algorithm - Fabian Klos''' | '''The Mapper algorithm - Fabian Klos''' | ||
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''no abstract available'' | ''no abstract available'' | ||
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'''Morse theory and their persistence modules - Peter Albers''' | '''Morse theory and their persistence modules - Peter Albers''' | ||
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''I will present an upgrade of classical Morse theory using persistent modules. This seems not (directly) connected to TDA. After a short introduction to the basic ideas of Morse theory I will explain the associated persistence modules. In this situation the corresponding barcode has a very clear meaning and I’ll present a mini-application showing that short bars can be useful. I learned all this from https://arxiv.org/pdf/1904.04044.pdf .'' | ''I will present an upgrade of classical Morse theory using persistent modules. This seems not (directly) connected to TDA. After a short introduction to the basic ideas of Morse theory I will explain the associated persistence modules. In this situation the corresponding barcode has a very clear meaning and I’ll present a mini-application showing that short bars can be useful. I learned all this from https://arxiv.org/pdf/1904.04044.pdf .'' | ||
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Revision as of 14:25, 17 May 2019
Lecture Series: Mathematics and Data
27 May 2019, 11h-13h, SR C
The Mapper algorithm - Fabian Klos
no abstract available
Morse theory and their persistence modules - Peter Albers
I will present an upgrade of classical Morse theory using persistent modules. This seems not (directly) connected to TDA. After a short introduction to the basic ideas of Morse theory I will explain the associated persistence modules. In this situation the corresponding barcode has a very clear meaning and I’ll present a mini-application showing that short bars can be useful. I learned all this from https://arxiv.org/pdf/1904.04044.pdf .