Exploring Advanced Algorithms Compsci 224 Lecture 3

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  • Power of random signs: ℓ2 norm estimation, subspace embeddings (regression), Johnson-Lindenstrauss, deterministic point ...
  • Fusion trees, word-level parallelism, most significant set bit in constant time.
  • Symmetrization, hashing: linear probing (5-wise indep.), bloom filters, cuckoo hashing, bloomier filters.
  • Randomized paging, packing/covering linear programs, weak duality, approximate complementary slackness, primal/dual online ...
  • More efficient exponential-time

In-Depth Information on Advanced Algorithms Compsci 224 Lecture 3

Hashing: load balancing, k-wise independence, chaining, linear probing. Logistics, course topics, word RAM, predecessor, van Emde Boas, y-fast tries. Please see Problem 1 of Assignment 1 at ... As the John L. Loeb Associate Professor of Engineering and Applied Sciences at the Harvard John A. Paulson School of ... Necessity of randomized/approximate guarantees, linear sketching, AMS sketch, p-stable sketch for p less than 2.

Hashing: cuckoo hashing analysis, power of two choices.

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