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 ...
  • Path-following interior point, first order methods (gradient descent).
  • 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.
  • Zeta transform, Möbius inversion, streaming

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 ... Simplex wrap-up, strong duality, complementary slackness, ellipsoid, intro to interior point. Online primal/dual: e/(e-1) ski rental, set cover; approximation

Randomized paging, packing/covering linear programs, weak duality, approximate complementary slackness, primal/dual online ...

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