Constant Factor Approximations to Edit Distance in Nearly Linear Time

Constant Factor Approximations to Edit Distance in Nearly Linear Time

Association for Computing Machinery (ACM) via YouTube Direct link

Note: this step crucially uses triangle inequality!

7 of 15

7 of 15

Note: this step crucially uses triangle inequality!

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Constant Factor Approximations to Edit Distance in Nearly Linear Time

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  1. 1 Intro
  2. 2 Approx ED
  3. 3 Main Result
  4. 4 Approximating ED
  5. 5 Partition strings into windows
  6. 6 Step 0: Reduction to non-crossing matching
  7. 7 Note: this step crucially uses triangle inequality!
  8. 8 Step 1: Dense graphs via triangle inequality
  9. 9 Sparse graphs via "seed-and-expand"
  10. 10 Union of disjoint bl-cliques
  11. 11 Searching for matches [KS]
  12. 12 Sparse case CDGKS
  13. 13 Dense case CDGKS
  14. 14 Multiple levels - sparse case [KS]
  15. 15 Recap

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