Mathematics of Computation Through the Lens of Linear Equations and Lattices

Mathematics of Computation Through the Lens of Linear Equations and Lattices

International Mathematical Union via YouTube Direct link

DEF: Unique-Games

8 of 18

8 of 18

DEF: Unique-Games

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Mathematics of Computation Through the Lens of Linear Equations and Lattices

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  1. 1 Intro
  2. 2 DEF: Linear equations (LE)
  3. 3 DEF: Error correcting codes (ECC)
  4. 4 ECC via balls
  5. 5 Closest Vector Problem (CVP)
  6. 6 DEF: LE non-perfect solution
  7. 7 DEF: LE, approximate solution
  8. 8 DEF: Unique-Games
  9. 9 DEF: Lattice-Discrete Subgroup
  10. 10 Lattice-CVP
  11. 11 The World According to Lattices
  12. 12 The Importance of being Infeasible
  13. 13 Worst-case vs. Average-case
  14. 14 Minkowski & in Reverse
  15. 15 Reverse Minkowski
  16. 16 Open Qi Relating to Classical Problems
  17. 17 Open Q: Hardness of Approximating SVP/CVP
  18. 18 The Future of Computing?

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