随机算法 (Fall 2011): Difference between revisions

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#* [[随机算法 (Fall 2011)/Expander Graphs|Expander Graphs]]
#* [[随机算法 (Fall 2011)/Expander Graphs|Expander Graphs]]
#* [[随机算法 (Fall 2011)/Graph Spectrum|Graph Spectrum]]
#* [[随机算法 (Fall 2011)/Graph Spectrum|Graph Spectrum]]
#* [[随机算法 (Fall 2011)/The Spectral Gap|The Spectral Gap]]
#* [[随机算法 (Fall 2011)/Random Walk on Expander Graph|Random Walk on Expander Graph]]
#* [[随机算法 (Fall 2011)/Random Walk on Expander Graph|Random Walk on Expander Graph]]
# Expander Graphs II
# Expander Graphs II

Revision as of 15:54, 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