Michael Cohen and Self-Concordant Barriers Over L_p Balls

Michael Cohen and Self-Concordant Barriers Over L_p Balls

Simons Institute via YouTube Direct link

Intro

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1 of 19

Intro

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Michael Cohen and Self-Concordant Barriers Over L_p Balls

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  1. 1 Intro
  2. 2 Based on the joint work of
  3. 3 Some stories
  4. 4 Self-concordant functions in dimension one
  5. 5 Locally Quadratic
  6. 6 Self-concordant functions in high dimension
  7. 7 Why Self-concordant?
  8. 8 Yet Michael's another contribution
  9. 9 Self-concordant barriers
  10. 10 A good self-concordant barrier
  11. 11 Intuition "Largeness of the Dikin Ellipsoid"
  12. 12 Main Question
  13. 13 Michael's contribution
  14. 14 Proof idea
  15. 15 Proofidea (Symmetric)
  16. 16 Michael's idea (1)
  17. 17 Michael's idea (2)
  18. 18 Michael's proof
  19. 19 General functions

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