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

Open Qi Relating to Classical Problems

16 of 18

16 of 18

Open Qi Relating to Classical Problems

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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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