Revisiting Tardos’s Framework for Linear Programming - Faster Exact Solutions using Approximate Solvers

Revisiting Tardos’s Framework for Linear Programming - Faster Exact Solutions using Approximate Solvers

IEEE FOCS: Foundations of Computer Science via YouTube Direct link

Intro

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1 of 14

Intro

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Revisiting Tardos’s Framework for Linear Programming - Faster Exact Solutions using Approximate Solvers

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  1. 1 Intro
  2. 2 Linear Programming
  3. 3 Weakly vs Strongly Polynomial Algorithms for
  4. 4 Fast Weakly Polynomial Algorithms for LP
  5. 5 Strongly Polynomial Algorithms for LP
  6. 6 Dependence on the constraint matrix only
  7. 7 Tardos's framework: variable fixing
  8. 8 Our contributions: Dadush-N.-Végh '20
  9. 9 The condition number A
  10. 10 Proximity theorem
  11. 11 Variable fixing for feasibility
  12. 12 The lifting operation
  13. 13 The feasibility algorithm
  14. 14 Optimization algorithm

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