Strong Average-Case Circuit Lower Bounds from Non-trivial Derandomization

Strong Average-Case Circuit Lower Bounds from Non-trivial Derandomization

Association for Computing Machinery (ACM) via YouTube Direct link

Motivation 1: Circuit Lower Bounds

2 of 16

2 of 16

Motivation 1: Circuit Lower Bounds

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Classroom Contents

Strong Average-Case Circuit Lower Bounds from Non-trivial Derandomization

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  1. 1 Intro
  2. 2 Motivation 1: Circuit Lower Bounds
  3. 3 AC circuits
  4. 4 AC [6] circuits
  5. 5 Circuit Analysis Problems
  6. 6 Algorithmic Method
  7. 7 Subsequent Developments
  8. 8 Motivation 2: Derandomization
  9. 9 Pseudorandom Generators Fooling AC [2]?
  10. 10 This Work: Strong Average-Case Circuit Lower Bounds for ACC
  11. 11 First Attempt: Hardness Amplification
  12. 12 Still, Step I...?
  13. 13 Circuit Analysis of Approximate Sum
  14. 14 Hardness Amplification via Approximate Sum
  15. 15 The Final Proof
  16. 16 New Developments

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