Media Summary: Zeta transform, Möbius inversion, streaming Logistics, course topics, word RAM, predecessor, van Emde Boas, y-fast tries. Please see Problem 1 of Assignment 1 at ... Power of random signs: ℓ2 norm estimation, subspace embeddings (regression), Johnson-Lindenstrauss, deterministic point ...
Advanced Algorithms Compsci 224 Lecture 25 - Detailed Analysis & Overview
Zeta transform, Möbius inversion, streaming Logistics, course topics, word RAM, predecessor, van Emde Boas, y-fast tries. Please see Problem 1 of Assignment 1 at ... Power of random signs: ℓ2 norm estimation, subspace embeddings (regression), Johnson-Lindenstrauss, deterministic point ... 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.
Symmetrization, hashing: linear probing (5-wise indep.), bloom filters, cuckoo hashing, bloomier filters. Preferred path decomposition, link-cut trees. Hashing: cuckoo hashing analysis, power of two choices. Learning from experts, multiplicative weights. Randomized paging, packing/covering linear programs, weak duality, approximate complementary slackness, primal/dual online ... Fusion trees, word-level parallelism, most significant set bit in constant time.
Path-following interior point, first order methods (gradient descent). Heavy-light decomposition, O(log2n) amortized analysis of link-cut trees, min cost max flow, min cost circulation, shortest ... linear programming: standard form, vertices, bases, simplex. MapReduce: TeraSort, minimum spanning tree, triangle counting.
