Understanding Algorithms For Big Data Compsci 229r Lecture 5

Exploring Algorithms For Big Data Compsci 229r Lecture 5 reveals several interesting facts. Analysis of ℓp estimation

Key Takeaways about Algorithms For Big Data Compsci 229r Lecture 5

  • CountMin sketch, point query,
  • P-stable sketch analysis, Nisan's PRG, ℓp estimation for p
  • Communication complexity (indexing, gap hamming) + application to median and F0 lower bounds.
  • Low-rank approximation, column-based matrix reconstruction, k-means, compressed sensing.
  • MapReduce: TeraSort, minimum spanning tree, triangle counting.

Detailed Analysis of Algorithms For Big Data Compsci 229r Lecture 5

Hashing: cuckoo hashing analysis, power of two choices. Oblivious subspace embeddings, faster iterative regression, sketch-and-solve regression. Amnesic dynamic programming (approximate distance to monotonicity).

CountSketch, ℓ0 sampling, graph sketching.

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