Introduction to Algorithms For Big Data Compsci 229r Lecture 6

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Algorithms For Big Data Compsci 229r Lecture 6 Comprehensive Overview

CountSketch, ℓ0 sampling, graph sketching. Amortized analysis, binomial heaps, Fibonacci heaps. Amnesic dynamic programming (approximate distance to monotonicity).

Krahmer-Ward proof, Iterative Hard Thresholding.

Summary & Highlights for Algorithms For Big Data Compsci 229r Lecture 6

  • Analysis of ℓp estimation
  • External memory model: linked list, matrix multiplication, B-tree, buffered repository tree, sorting.
  • Communication complexity (indexing, gap hamming) + application to median and F0 lower bounds.
  • ℓ1/ℓ1 recovery, RIP1, unbalanced expanders, Sequential Sparse Matching Pursuit.
  • Logistics, course topics, basic tail bounds (Markov, Chebyshev, Chernoff, Bernstein), Morris'

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