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Faster Polytope Rounding, Sampling, and Volume Computation via a Sublinear Ball Walk

Faster Polytope Rounding, Sampling, and Volume Computation via a Sublinear Ball Walk

IEEE FOCS: Foundations of Computer Science via YouTube Direct link

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Faster Polytope Rounding, Sampling, and Volume Computation via a Sublinear Ball Walk

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  1. 1 Intro
  2. 2 Current bottleneck
  3. 3 Markov chains
  4. 4 Results
  5. 5 Algorithm overview
  6. 6 Sublinear implementation
  7. 7 Why does it work
  8. 8 High probability
  9. 9 Faster implementation
  10. 10 Running time
  11. 11 Expected cost
  12. 12 Bound expected waiting time
  13. 13 Anti concentration lemma
  14. 14 Future directions

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