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Marian Mrozek (8/30/21): Combinatorial vs. Classical Dynamics: Recurrence
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Classroom Contents
Beyond TDA - Persistent Functions and Applications in Data Sciences 2021
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- 1 Herbert Edelsbrunner: The intrinsic volumes of a space filling diagram and their derivatives
- 2 Ginestra Bianconi (8/28/21): The topological Dirac operator and the dynamics of topological signals
- 3 Vidit Nanda (8/28/21): Principal components along quiver representations
- 4 Konstantin Mischaikow (8/28/21): Solving systems of ODEs via combinatorial homological algebra
- 5 Guo-Wei Wei (8/28/21): How Math and AI are revolutionizing biosciences
- 6 Stefania Ebli (8/29/21): Simplicial Neural Networks
- 7 Claudia Landi (8/29/21): Discrete Morse Theory meets Multi-Parameter Persistence
- 8 Francesco Vaccarino (8/29/21): Parallel decomposition of persistence modules through interval bases
- 9 Mattia G. Bergomi (8/29/21): Comparing Neural Networks via Generalized Persistence
- 10 Jürgen Jost (8/29/21): Geometry and Topology of Data
- 11 Kelin Xia (8/29/21): Persistent function based machine learning for drug design
- 12 Robert Ghrist (8/29/21): Laplacians and Network Sheaves
- 13 Sayan Mukherjee (8/29/21): Modeling shapes and fields: a sheaf theoretic perspective
- 14 Farzana Nasrin (8/29/21): Random Persistence Diagram Generator
- 15 Hiraoka Yasuaki (8/30/21): On characterizing rare events in persistent homology
- 16 Wojciech Chachólski (8/30/21): Enabling a machine to sense geometry
- 17 Patrizio Frosini (8/30/21): On the role of group equivariant non-expansive operators in TDA
- 18 Marian Mrozek (8/30/21): Combinatorial vs. Classical Dynamics: Recurrence
- 19 Massimo Ferri (8/30/21): Selection of points in persistence diagrams
- 20 R. Levi: An application of neighborhoods in directed graphs in the classification of binary dynamics
- 21 Ling Zhou (8/30/21): Other Persistence Invariants: homotopy and the cohomology ring
- 22 Henry Adams (8/30/21): Vietoris-Rips complexes of hypercube graphs
