Media Summary: Recorded for the Fall 2024 session by TF Vlad Cainamisir. Logistics, course topics, word RAM, predecessor, van Emde Boas, y-fast tries. Please see Problem 1 of Assignment 1 at ... Linear least squares via subspace embeddings, leverage score sampling, non-commutative Khintchine, oblivious subspace ...
Harvard Cs165 Section Serialization - Detailed Analysis & Overview
Recorded for the Fall 2024 session by TF Vlad Cainamisir. Logistics, course topics, word RAM, predecessor, van Emde Boas, y-fast tries. Please see Problem 1 of Assignment 1 at ... Linear least squares via subspace embeddings, leverage score sampling, non-commutative Khintchine, oblivious subspace ... Approximate matrix multiplication with Frobenius error via sampling / JL, matrix median trick, subspace embeddings. Khintchine, decoupling, Hanson-Wright, proof of distributional JL lemma. Symmetrization, hashing: linear probing (5-wise indep.), bloom filters, cuckoo hashing, bloomier filters.
Low-rank approximation, column-based matrix reconstruction, k-means, compressed sensing. linear programming: standard form, vertices, bases, simplex. Simplex wrap-up, strong duality, complementary slackness, ellipsoid, intro to interior point. FPTAS (knapsack), FPRAS (DNF counting), semidefinite programming, Goemans-Williamson MAXCUT algorithm. Online primal/dual: e/(e-1) ski rental, set cover; approximation algorithms via dual fitting: set cover. Fusion trees, word-level parallelism, most significant set bit in constant time.
