Exploring Algorithms For Big Data Compsci 229r Lecture 2

Welcome to our comprehensive guide on Algorithms For Big Data Compsci 229r Lecture 2.

  • Approximate matrix multiplication with Frobenius error via sampling / JL, matrix median trick, subspace embeddings.
  • Alon's JL lower bound, beyond worst case analysis: suprema of gaussian processes, Gordon's theorem.
  • Necessity of randomized/approximate guarantees, linear sketching, AMS sketch, p-stable sketch for p less than
  • Oblivious subspace embeddings, faster iterative regression, sketch-and-solve regression.
  • Logistics, course topics, basic tail bounds (Markov, Chebyshev, Chernoff, Bernstein), Morris'

In-Depth Information on Algorithms For Big Data Compsci 229r Lecture 2

Distinct elements, k-wise independence, geometric subsampling of streams. Khintchine, decoupling, Hanson-Wright, proof of distributional JL lemma. Matrix completion. Titus Brown Random

Krahmer-Ward proof, Iterative Hard Thresholding.

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