Isotonic Regression in General Dimensions – Richard Samworth, University of Cambridge

Isotonic Regression in General Dimensions – Richard Samworth, University of Cambridge

Alan Turing Institute via YouTube Direct link

Statistical dimension

11 of 20

11 of 20

Statistical dimension

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Isotonic Regression in General Dimensions – Richard Samworth, University of Cambridge

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  1. 1 Intro
  2. 2 Isotonic regression
  3. 3 Multidimensional covariance
  4. 4 Natural partial ordering
  5. 5 Independent observations
  6. 6 Dijkstras algorithm
  7. 7 Work on isotonic regression
  8. 8 Fixed lattice design
  9. 9 Least squares estimator
  10. 10 Bound the risk
  11. 11 Statistical dimension
  12. 12 Antichain
  13. 13 Global empirical risk minimization
  14. 14 Adaptation
  15. 15 Lower bound
  16. 16 Monotonic functions
  17. 17 Random design
  18. 18 Random design results
  19. 19 The adage carry theorem
  20. 20 Summary

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