Reading group in applied topology II
Frequency
Every year
Summary
In this reading group, we will work together through recent important papers in applied topology. Participants will take turns presenting articles, then leading a discussion of the contents.
Content
The field of applied topology is growing extremely rapidly, in terms of both the development of new theory and the elaboration of significant new applications. The goal of this reading group is to provide a framework in which to survey the literature efficiently, to ensure that all participants are aware of the most significant recent developments.
PhD students participating in the course for credit must give two presentations of all or part of an article selected by the course coordinator.
In the spring semester of 2021, we will focus in particular on various papers concerning Laplacians on simplicial complexes and their relation to Hodge decompositions, harmonic representatives, spectral clustering, diffusion processes, and random walks.
Keywords
Applied topology, network, machine learning
Resources
Bibliography
[1] "€œSome new results on the combinatorial Laplcian"€ , see attachment
[2] "€œControl using Higher Order Laplacians in Network Topologies"€, see attachment
[3] http://www.math.ucsd.edu/~fan/research/revised.html
[4] https://arxiv.org/pdf/0711.0189.pdf
Dans les plans d'études
- Forme de l'examen: Exposé (session libre)
- Matière examinée: Reading group in applied topology II
- Cours: 14 Heure(s)