Gradient and Hessian Approximations for Model-based Blackbox Optimization

Gradient and Hessian Approximations for Model-based Blackbox Optimization

GERAD Research Center via YouTube Direct link

Adjusted generalized centred simplex gradient

13 of 18

13 of 18

Adjusted generalized centred simplex gradient

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Gradient and Hessian Approximations for Model-based Blackbox Optimization

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  1. 1 Gradient and Hessian Approximations for Model-based Blackbox Optimization
  2. 2 Solid state tank design
  3. 3 Optimizing the design
  4. 4 Order-N accuracy at x
  5. 5 Newton's Method
  6. 6 Proof
  7. 7 Models from gradients
  8. 8 A cleaner approach
  9. 9 Generalizing the Simplex Gradient
  10. 10 Pseudo inverses
  11. 11 Generalized Simplex Gradient error bound
  12. 12 Centred Simplex Gradients
  13. 13 Adjusted generalized centred simplex gradient
  14. 14 Adjusted Centred Simplex Gradient
  15. 15 A simpler approach
  16. 16 Generalized Simplex Hessian
  17. 17 Summary
  18. 18 Open directions

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