Exploring Advanced Algorithms Compsci 224 Lecture 13

Exploring Advanced Algorithms Compsci 224 Lecture 13 reveals several interesting facts.

  • linear programming: standard form, vertices, bases, simplex.
  • Splay trees.
  • FPTAS (knapsack), FPRAS (DNF counting), semidefinite programming, Goemans-Williamson MAXCUT
  • Logistics, course topics, word RAM, predecessor, van Emde Boas, y-fast tries. Please see Problem 1 of Assignment 1 at ...
  • Symmetrization, hashing: linear probing (5-wise indep.), bloom filters, cuckoo hashing, bloomier filters.

In-Depth Information on Advanced Algorithms Compsci 224 Lecture 13

Guest Fusion trees, word-level parallelism, most significant set bit in constant time. Power of random signs: ℓ2 norm estimation, subspace embeddings (regression), Johnson-Lindenstrauss, deterministic point ... Hashing: load balancing, k-wise independence, chaining, linear probing.

Hashing: cuckoo hashing analysis, power of two choices.

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