Understanding Advanced Algorithms Compsci 224 Lecture 22

Let's dive into the details surrounding Advanced Algorithms Compsci 224 Lecture 22. Preferred path decomposition, link-cut trees.

Key Takeaways about Advanced Algorithms Compsci 224 Lecture 22

  • Zeta transform, Möbius inversion, streaming
  • Randomized paging, packing/covering linear programs, weak duality, approximate complementary slackness, primal/dual online ...
  • Splay trees.
  • Symmetrization, hashing: linear probing (5-wise indep.), bloom filters, cuckoo hashing, bloomier filters.
  • Hashing: cuckoo hashing analysis, power of two choices.

Detailed Analysis of Advanced Algorithms Compsci 224 Lecture 22

Power of random signs: ℓ2 norm estimation, subspace embeddings (regression), Johnson-Lindenstrauss, deterministic point ... Matrix completion. Fusion trees, word-level parallelism, most significant set bit in constant time.

Heavy-light decomposition, O(log2n) amortized analysis of link-cut trees, min cost max flow, min cost circulation, shortest ...

That wraps up our extensive overview of Advanced Algorithms Compsci 224 Lecture 22.

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