随机算法 (Fall 2011): Difference between revisions

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= Lecture Notes =
= Lecture Notes =
# [[随机算法 (Fall 2011)/Introduction|Introduction]]
# Introduction
#* [[随机算法 (Fall 2011)/Randomized Algorithms: an Introduction|Randomized Algorithms: an Introduction]]
#*[[随机算法 (Fall 2011)/Complexity Classes|Complexity Classes]]
#*[[随机算法 (Fall 2011)/Complexity Classes|Complexity Classes]]
# Probability Basics
# Probability Basics

Revision as of 16:04, 19 July 2011

Lecture Notes

  1. Introduction
  2. Probability Basics
  3. Balls and Bins
  4. Moment and Deviation
  5. Hashing and Fingerprinting
  6. Chernoff Bound
  7. Concentration of Measure
  8. Dimension Reduction
  9. The Probabilistic Method
  10. Approximation Algorithms, On-line Algorithms
  11. Markov Chain and Random Walk
  12. Random Walk Algorithms
  13. Coupling and Mixing Time
  14. Expander Graphs I
  15. Expander Graphs II
  16. Sampling and Counting
  17. MCMC
  18. Complexity