Wasserstein Distributionally Robust Optimization - Theory and Applications in Machine Learning

Wasserstein Distributionally Robust Optimization - Theory and Applications in Machine Learning

Institute for Pure & Applied Mathematics (IPAM) via YouTube Direct link

Main Takeaways

13 of 20

13 of 20

Main Takeaways

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Classroom Contents

Wasserstein Distributionally Robust Optimization - Theory and Applications in Machine Learning

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  1. 1 Intro
  2. 2 Decision-Making under Uncertainty
  3. 3 Data-Driven Decision-Making
  4. 4 Nominal Distribution
  5. 5 Estimation Errors
  6. 6 Wasserstein Distance
  7. 7 Stability Theory
  8. 8 Distributionally Robust Optimization (DRO)
  9. 9 Wasserstein DRO
  10. 10 Gelbrich Bound (p = 2)
  11. 11 Strong Duality
  12. 12 Piecewise Concave Loss
  13. 13 Main Takeaways
  14. 14 Warst-Case Risk for p = 1
  15. 15 Computing the Gelbrich Bound
  16. 16 Piecewise Quadratic Lass
  17. 17 Classification
  18. 18 Regression
  19. 19 Maximum Likelihood Estimation
  20. 20 Minimum Mean Square Error Estimation

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