Optimal Streaming Approximations for All Boolean Max 2-CSPs and Max k-SAT

Optimal Streaming Approximations for All Boolean Max 2-CSPs and Max k-SAT

IEEE FOCS: Foundations of Computer Science via YouTube Direct link

Intro

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1 of 15

Intro

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Optimal Streaming Approximations for All Boolean Max 2-CSPs and Max k-SAT

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  1. 1 Intro
  2. 2 Motivation and Spoiler
  3. 3 Constraint Satisfaction Problem (CSP)
  4. 4 CSP in the Streaming Model
  5. 5 Trivial Random Sampling is Optimal for Max-CUT!
  6. 6 Max-DICUT in the Streaming Model
  7. 7 Warm-up: 2/5-Approximation by [GW17]
  8. 8 New Idea: Random Sampling with Bias
  9. 9 New Relation Between Total Bias and Cut Value
  10. 10 Streaming Lower Bounds via Communication Complexity
  11. 11 Distributional Boolean Hidden Partition (DBHP) Problem contains exactly
  12. 12 Example of DBHP (with Parallel Repetition)
  13. 13 Reducing DBHP to Max-DICUT (Max-2AND)
  14. 14 Conclusion
  15. 15 Future Directions

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