Exploring Advanced Algorithms Compsci 224 Lecture 3

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  • 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.
  • More efficient exponential-time
  • Amortized analysis, binomial heaps, Fibonacci heaps.
  • Power of random signs: ℓ2 norm estimation, subspace embeddings (regression), Johnson-Lindenstrauss, deterministic point ...

In-Depth Information on Advanced Algorithms Compsci 224 Lecture 3

Hashing: load balancing, k-wise independence, chaining, linear probing. As the John L. Loeb Associate Professor of Engineering and Applied Sciences at the Harvard John A. Paulson School of ... Hashing: cuckoo hashing analysis, power of two choices. Splay trees.

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

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