Completed
Tomoo Yokoyama (1/13/21):Generalizations of Morse graph of flows and Reeb graph of Hamiltonian flows
Class Central Classrooms beta
YouTube videos curated by Class Central.
Classroom Contents
Applied Algebraic Topology Methods, Computation, and Science - ATMCS/AATRN 2020
Automatically move to the next video in the Classroom when playback concludes
- 1 Vincent Divol 5/25/20: Studying the space of persistence diagrams using optimal partial transport II
- 2 Théo Lacombe (5/25/20): Studying the space of persistence diagrams using optimal partial transport I
- 3 Jacob Leygonie (6/1/20): Differential calculus on persistence barcodes
- 4 Alexander Rolle (6/1/20): Stable and consistent density-based clustering
- 5 Marek Filakovský: Embeddings and Tverberg-Type Problems: New Algorithms and Undecidability Results
- 6 Francesca Tombari (6/8/20): Homotopical decompositions of simplicial and Vietoris Rips complexes
- 7 Woojin Kim (6/15/20): Spatiotemporal persistent homology for dynamic metric spaces
- 8 Joshua Mike (6/15/20): TALLEM: Topological Assembly of Locally Linear Euclidean Models
- 9 Nicolas Berkouk (6/22/20): Sheaves as computable and stable topological invariants for datasets:
- 10 François Petit (6/22/20): Ephemeral persistence modules and distance comparison
- 11 Arnur Nigmetov 6/29/20: Efficient approximation of the matching distance for 2-parameter persistence
- 12 Mickaël Buchet: Every nD persistence module is the restriction of an (n+1)D indecomposable module.
- 13 Shu Kanazawa (7/6/2020): A limit theorem for Betti numbers of random simplicial complexes
- 14 Killian Meehan (7/6/2020): Comparative Stability of Two Zigzag Bottleneck Distances
- 15 Érika Roldán Roa (7/13/20): The fundamental group of 2-dimensional random cubical complexes
- 16 Luis Polanco (7/13/20): Data driven torsion coordinates and Wasserstein stability
- 17 Michał Lipiński 7/20/20: Conley-Morse-Forman theory for generalized combinatorial multivector fields
- 18 Elchanan Solomon (7/20/20): Intrinsic Topological Transforms via the Distance Kernel Embedding
- 19 Hengrui Luo (7/27/20): Generalized penalty for circular coordinate representation
- 20 Abhishek Rathod (7/27/70): Hardness results in discrete Morse theory for 2-complexes
- 21 Siddharth Vishwanath (8/3/20): Statistical invariance of Betti numbers in the thermodynamic regime
- 22 Lewis Marsh (8/3/20): Geometric and topological data analysis of enzyme kinetics
- 23 Alexander Wagner (8/10/20): Nonembeddability of persistence diagrams into Hilbert spaces
- 24 Sarah Tymochko (8/10/20) Detecting bifurcations in dynamical systems with zigzag persistent homology
- 25 Samir Chowdhury (8/17/20): Exploring brain dynamics during ongoing cognition using Mapper
- 26 Hannah Schreiber (8/17/20): Topological simplification of voxelized data
- 27 Takashi Owada 1/11/20: Limit Thms for top. invariants of the dynamic multi-param. simplicial complex
- 28 Min-Chun Wu 1/11/2021: A Topological Approach to Inferring the Intrinsic Dim. of Convex Sensing Data
- 29 Anastasios Stefanou (1/12/21): Interleaving by parts for persistence in a poset
- 30 Hitesh Gakhar (1/12/21):A theoretical analysis of quasiperiodicity using persistent Künneth formulae
- 31 Tomoo Yokoyama (1/13/21):Generalizations of Morse graph of flows and Reeb graph of Hamiltonian flows
- 32 Nicola Quercioli (1/13/21): Group equivariant non-expansive operators and their use in Deep Learning
- 33 Alex Elchesen (1/14/21): Universality of Persistence Diagrams and Bottleneck & Wasserstein Distances
- 34 Anna Schenfisch (1/14/21): A Faithful Discretization of the Persistent Homology Transform
- 35 Ling Zhou (1/15/21): Persistent Homotopy Groups of Metric Spaces
- 36 Nathanael Cox (1/15/21): Effective Algorithms For Quotients of Semi-Algebraic Equivalence Relations
- 37 Zhengchao Wan (1/16/21): Computing Gromov-Hausdorff distances between ultrametric spaces
- 38 Luis Scoccola (1/16/21): Locally persistent categories & metric properties of interleaving distances
