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

  • P-stable sketch analysis, Nisan's PRG, ℓp estimation for p
  • External memory model: linked list, matrix multiplication, B-tree, buffered repository tree, sorting.
  • ORS theorem (distributional JL implies Gordon's theorem), sparse JL.
  • Oblivious subspace embeddings, faster iterative regression, sketch-and-solve regression.
  • RIP and connection to incoherence, basis pursuit, Krahmer-Ward theorem.

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. Linear least squares via subspace embeddings, leverage score sampling, non-commutative Khintchine, oblivious subspace ... Competitive paging, cache-oblivious

Matrix completion.

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