Understanding Algorithms For Big Data Compsci 229r Lecture 7

Exploring Algorithms For Big Data Compsci 229r Lecture 7 reveals several interesting facts. CountSketch, ℓ0 sampling, graph sketching.

Key Takeaways about Algorithms For Big Data Compsci 229r Lecture 7

  • Sparse JL proof wrap-up, Fast JL Transform, approximate nearest neighbor.
  • Khintchine, decoupling, Hanson-Wright, proof of distributional JL lemma.
  • Oblivious subspace embeddings, faster iterative regression, sketch-and-solve regression.
  • Communication complexity (indexing, gap hamming) + application to median and F0 lower bounds.
  • CountMin sketch, point query,

Detailed Analysis of Algorithms For Big Data Compsci 229r Lecture 7

Logistics, course topics, basic tail bounds (Markov, Chebyshev, Chernoff, Bernstein), Morris' Amnesic dynamic programming (approximate distance to monotonicity). Competitive paging, cache-oblivious

Alon's JL lower bound, beyond worst case analysis: suprema of gaussian processes, Gordon's theorem.

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