Understanding Algorithms For Big Data Compsci 229r Lecture 11

Welcome to our comprehensive guide on Algorithms For Big Data Compsci 229r Lecture 11. Khintchine, decoupling, Hanson-Wright, proof of distributional JL lemma.

Key Takeaways about Algorithms For Big Data Compsci 229r Lecture 11

  • Distinct elements, k-wise independence, geometric subsampling of streams.
  • Matrix completion.
  • RIP and connection to incoherence, basis pursuit, Krahmer-Ward theorem.
  • ORS theorem (distributional JL implies Gordon's theorem), sparse JL.
  • Linear least squares via subspace embeddings, leverage score sampling, non-commutative Khintchine, oblivious subspace ...

Detailed Analysis of Algorithms For Big Data Compsci 229r Lecture 11

Alon's JL lower bound, beyond worst case analysis: suprema of gaussian processes, Gordon's theorem. Competitive paging, cache-oblivious External memory model: linked list, matrix multiplication, B-tree, buffered repository tree, sorting.

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

In summary, understanding Algorithms For Big Data Compsci 229r Lecture 11 gives us a better perspective.

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