Understanding Algorithms For Big Data Compsci 229r Lecture 14

Exploring Algorithms For Big Data Compsci 229r Lecture 14 reveals several interesting facts. Sparse JL proof wrap-up, Fast JL Transform, approximate nearest neighbor.

Key Takeaways about Algorithms For Big Data Compsci 229r Lecture 14

  • Alon's JL lower bound, beyond worst case analysis: suprema of gaussian processes, Gordon's theorem.
  • P-stable sketch analysis, Nisan's PRG, ℓp estimation for p
  • Linear least squares via subspace embeddings, leverage score sampling, non-commutative Khintchine, oblivious subspace ...
  • So, now we have finished 2 weeks in this course on
  • Competitive paging, cache-oblivious

Detailed Analysis of Algorithms For Big Data Compsci 229r Lecture 14

Approximate matrix multiplication with Frobenius error via sampling / JL, matrix median trick, subspace embeddings. Logistics, course topics, basic tail bounds (Markov, Chebyshev, Chernoff, Bernstein), Morris' ORS theorem (distributional JL implies Gordon's theorem), sparse JL.

Krahmer-Ward proof, Iterative Hard Thresholding.

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