Exploring Advanced Algorithms Compsci 224 Lecture 11

Exploring Advanced Algorithms Compsci 224 Lecture 11 reveals several interesting facts.

  • Hashing: load balancing, k-wise independence, chaining, linear probing.
  • Scaling for max flow, blocking flow.
  • Randomized paging, packing/covering linear programs, weak duality, approximate complementary slackness, primal/dual online ...
  • Logistics, course topics, word RAM, predecessor, van Emde Boas, y-fast tries. Please see Problem 1 of Assignment 1 at ...
  • FPTAS (knapsack), FPRAS (DNF counting), semidefinite programming, Goemans-Williamson MAXCUT

In-Depth Information on Advanced Algorithms Compsci 224 Lecture 11

Approximation Power of random signs: ℓ2 norm estimation, subspace embeddings (regression), Johnson-Lindenstrauss, deterministic point ... Simplex wrap-up, strong duality, complementary slackness, ellipsoid, intro to interior point. Khintchine, decoupling, Hanson-Wright, proof of distributional JL lemma.

Fusion trees, word-level parallelism, most significant set bit in constant time.

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