Optimal Transport and PDE - Gradient Flows in the Wasserstein Metric

Optimal Transport and PDE - Gradient Flows in the Wasserstein Metric

Simons Institute via YouTube Direct link

Uniqueness

15 of 17

15 of 17

Uniqueness

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Classroom Contents

Optimal Transport and PDE - Gradient Flows in the Wasserstein Metric

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  1. 1 Introduction
  2. 2 Motivation
  3. 3 Continuity Equation
  4. 4 PDE Properties
  5. 5 Order of Convergence
  6. 6 Aggregation Equation
  7. 7 Dynamics
  8. 8 Why PDE
  9. 9 Grading flow
  10. 10 Twolayer neural networks
  11. 11 Chisquared divergence
  12. 12 The plan
  13. 13 What is perpendicular mean
  14. 14 When do solutions exist
  15. 15 Uniqueness
  16. 16 Intuition
  17. 17 Existence

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