Media Summary: Learning from experts, multiplicative weights. Power of random signs: ℓ2 norm estimation, subspace embeddings (regression), Johnson-Lindenstrauss, deterministic point ... RIP and connection to incoherence, basis pursuit, Krahmer-Ward theorem.
Advanced Algorithms Compsci 224 Lecture 19 - Detailed Analysis & Overview
Learning from experts, multiplicative weights. Power of random signs: ℓ2 norm estimation, subspace embeddings (regression), Johnson-Lindenstrauss, deterministic point ... RIP and connection to incoherence, basis pursuit, Krahmer-Ward theorem. Linear programming via multiplicative weights, flows, augmenting paths. Simplex wrap-up, strong duality, complementary slackness, ellipsoid, intro to interior point. Logistics, course topics, word RAM, predecessor, van Emde Boas, y-fast tries. Please see Problem 1 of Assignment 1 at ...
second order methods (Newton's method), path-following interior point wrap-up. Symmetrization, hashing: linear probing (5-wise indep.), bloom filters, cuckoo hashing, bloomier filters. Hashing: load balancing, k-wise independence, chaining, linear probing.