~/talk

Intermediate Relational Algorithm Design

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Relational-algorithms assume inputs stay in relational form and claim most useful operations reduce to sum-product queries; the talk shows concrete reductions: uniform sampling reduces to counting via variable elimination on path joins, 1-means++ and 2-means++ become implementable by designing a semi-ring pair (count,sumSquares) and running variable-elimination, while 3-means++ is NP-hard on compact tables so the practical fix is rejection sampling with axis-aligned boxes; counting in a hypersphere is approximable to 1+ε when operations preserve approximation; an ID3-as-homework implementation is proposed.

AI-written summary · about

  1. 0:00Introduction
  2. 0:48Compressed Text
  3. 2:14Restricted Models
  4. 3:04Joints
  5. 5:29Product Queries
  6. 33:16Conclusion
  7. 34:04Example
  8. 40:49Questions
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