Introduction to Algorithms For Big Data Compsci 229r Lecture 6

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Algorithms For Big Data Compsci 229r Lecture 6 Comprehensive Overview

Analysis of ℓp estimation CountSketch, ℓ0 sampling, graph sketching. Linear least squares via subspace embeddings, leverage score sampling, non-commutative Khintchine, oblivious subspace ...

ℓ1/ℓ1 recovery, RIP1, unbalanced expanders, Sequential Sparse Matching Pursuit.

Summary & Highlights for Algorithms For Big Data Compsci 229r Lecture 6

  • Logistics, course topics, basic tail bounds (Markov, Chebyshev, Chernoff, Bernstein), Morris'
  • Amnesic dynamic programming (approximate distance to monotonicity).
  • Competitive paging, cache-oblivious
  • Communication complexity (indexing, gap hamming) + application to median and F0 lower bounds.
  • Necessity of randomized/approximate guarantees, linear sketching, AMS sketch, p-stable sketch for p less than 2.

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