Exploring Advanced Algorithms Compsci 224 Lecture 11

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

  • Power of random signs: ℓ2 norm estimation, subspace embeddings (regression), Johnson-Lindenstrauss, deterministic point ...
  • Online primal/dual: e/(e-1) ski rental, set cover; approximation
  • Path-following interior point, first order methods (gradient descent).
  • Symmetrization, hashing: linear probing (5-wise indep.), bloom filters, cuckoo hashing, bloomier filters.
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In-Depth Information on Advanced Algorithms Compsci 224 Lecture 11

Approximation Scaling for max flow, blocking flow. Guest Fusion trees, word-level parallelism, most significant set bit in constant time.

FPTAS (knapsack), FPRAS (DNF counting), semidefinite programming, Goemans-Williamson MAXCUT

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