Nonlinear Dynamics, High Dimensional Data, and Persistent Homology

Nonlinear Dynamics, High Dimensional Data, and Persistent Homology

Applied Algebraic Topology Network via YouTube Direct link

Experimental Data

4 of 18

4 of 18

Experimental Data

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Classroom Contents

Nonlinear Dynamics, High Dimensional Data, and Persistent Homology

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  1. 1 Intro
  2. 2 Two forms of data
  3. 3 Point clouds
  4. 4 Experimental Data
  5. 5 Quasistatic
  6. 6 Numerical Simulations
  7. 7 Algebraic Topology
  8. 8 Updown Symmetry
  9. 9 Persistent Homology
  10. 10 Persistence Diagrams
  11. 11 Metrics
  12. 12 Recent Work
  13. 13 Next Steps
  14. 14 Persistent Homology Point Cloud
  15. 15 Persistent Homology Points
  16. 16 Velocity Profiles
  17. 17 Periodic Orbit
  18. 18 End Goals

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