Media Summary: Column Distribution & Thickness Optimization, Harvard GSD, 2016 Communication complexity (indexing, gap hamming) + application to median and F0 lower bounds. P-stable sketch analysis, Nisan's PRG, ℓp estimation for p larger than 2 via max-stability.
Column Distribution Thickness Optimization Harvard - Detailed Analysis & Overview
Column Distribution & Thickness Optimization, Harvard GSD, 2016 Communication complexity (indexing, gap hamming) + application to median and F0 lower bounds. P-stable sketch analysis, Nisan's PRG, ℓp estimation for p larger than 2 via max-stability. Simplex wrap-up, strong duality, complementary slackness, ellipsoid, intro to interior point. Path-following interior point, first order methods (gradient descent). Linear least squares via subspace embeddings, leverage score sampling, non-commutative Khintchine, oblivious subspace ...
Learning from experts, multiplicative weights. Randomized and approximate F0 lower bounds, disjointness, Fp lower bound, dimensionality reduction (JL lemma). Analysis of ℓp estimation algorithm via max-stability, deterministic point query via incoherent matrices. Online primal/dual: e/(e-1) ski rental, set cover; approximation algorithms via dual fitting: set cover.
