Exploring Algorithms For Big Data Compsci 229r Lecture 3

Let's dive into the details surrounding Algorithms For Big Data Compsci 229r Lecture 3.

  • Khintchine, decoupling, Hanson-Wright, proof of distributional JL lemma.
  • Analysis of ℓp estimation
  • ℓ1/ℓ1 recovery, RIP1, unbalanced expanders, Sequential Sparse Matching Pursuit.
  • Linear least squares via subspace embeddings, leverage score sampling, non-commutative Khintchine, oblivious subspace ...
  • Hashing: load balancing, k-wise independence, chaining, linear probing.

In-Depth Information on Algorithms For Big Data Compsci 229r Lecture 3

Necessity of randomized/approximate guarantees, linear sketching, AMS sketch, p-stable sketch for p less than 2. P-stable sketch analysis, Nisan's PRG, ℓp estimation for p Logistics, course topics, basic tail bounds (Markov, Chebyshev, Chernoff, Bernstein), Morris' Oblivious subspace embeddings, faster iterative regression, sketch-and-solve regression.

Distinct elements, k-wise independence, geometric subsampling of streams.

That wraps up our extensive overview of Algorithms For Big Data Compsci 229r Lecture 3.

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