~/talk

Nimble Algorithms for Cloud Computing

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Defines sublinear communication algorithms that use polynomial time/space but exchange far less than the data. Shows frequency moments across S servers by sampling by frequency^k, giving an estimator that uses about S^k/ε^2 words (so two-server third moment needs O(1/ε^2) samples). Uses limited‑independence random projections and subspace embeddings to compute low‑rank approximations with roughly S·k·d communication and small sketches; also builds coresets for k‑means under row partitions.

AI-written summary · about

  1. 0:00Intro
  2. 2:00Nimble Algorithms
  3. 2:45Sketching Algorithms
  4. 5:02Computing Frequency Moments
  5. 8:11Lowrank Approximation
  6. 13:28Simple Example
  7. 20:56Counting Copies
  8. 28:40Theorem
  9. 29:31Row Partition
  10. 31:43Arbitrary Partition
  11. 40:11Clustering
  12. 43:33Counting Triangles
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