Media Summary: MapReduce: TeraSort, minimum spanning tree, triangle counting. External memory model: linked list, matrix multiplication, B-tree, buffered repository tree, sorting. Zeta transform, Möbius inversion, streaming
Algorithms For Big Data Compsci 229r Lecture 25 - Detailed Analysis & Overview
MapReduce: TeraSort, minimum spanning tree, triangle counting. External memory model: linked list, matrix multiplication, B-tree, buffered repository tree, sorting. Zeta transform, Möbius inversion, streaming Oblivious subspace embeddings, faster iterative regression, sketch-and-solve regression. Linear least squares via subspace embeddings, leverage score sampling, non-commutative Khintchine, oblivious subspace ... P-stable sketch analysis, Nisan's PRG, ℓp estimation for p
Khintchine, decoupling, Hanson-Wright, proof of distributional JL lemma. Low-rank approximation, column-based matrix reconstruction, k-means, compressed sensing. Power of random signs: ℓ2 norm estimation, subspace embeddings (regression), Johnson-Lindenstrauss, deterministic point ... second order methods (Newton's method), path-following interior point wrap-up.
