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Lecture 3

Lecture 3. CSE 331 Sep 3, 2010. Remember: Stick with your group. More on Group Leader Scribe. All Sep blog post slots are gone!. Upcoming deadlines. Sep 7: Form your group (email me the full names). Sep 10: Teams can swap members. Don Knuth. Don Knuth Reward Checks.

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Lecture 3

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  1. Lecture 3 CSE 331 Sep 3, 2010

  2. Remember: Stick with your group

  3. More on Group Leader Scribe

  4. All Sep blog post slots are gone!

  5. Upcoming deadlines Sep 7: Form your group (email me the full names) Sep 10: Teams can swap members

  6. Don Knuth

  7. Don Knuth Reward Checks http://www.flickr.com/photos/32184482@N03/3010989157/

  8. Questions/Comments?

  9. What are Algorithms? A series of steps designed to solve a problem A geometric way of solving problems An abstract mathematical solution for a problem

  10. Knuth’s Definition An algorithm is a finite, definitive, effective procedure with some input and some output

  11. Why care about algorithms- II Driving directions

  12. Why care about algorithms- II Computing Bestsellers on the fly

  13. Why care about algorithms- II Booking cheapest air tickets

  14. Why care about algorithms- II Google searches

  15. Why care about algorithms- II http://www.di.ens.fr/~cherniav/teaching.html Data compression

  16. Why care about algorithms- II http://www.switched.com/2010/02/11/fix-dvd-scratches-using-a-banana-and-toothpaste/ Error correction

  17. (And I could) go on… http://www.movieposter.com/poster/MPW-33672/Titanic.html

  18. Read Chazelle’s article

  19. Questions/Comments?

  20. From problem to software

  21. Main Steps in Algorithm Design Problem Statement Real world problem Problem Definition Precise mathematical def Algorithm “Implementation” Data Structures Analysis Correctness/Run time

  22. Worst-case analysis Correctness should hold for every valid input Why worst-case? Resource usage by the worst-possible input What resources?

  23. The language of proofs Brad Pitt had a beard waleg.com Every goat has a beard animaldiversity.org Hence, Brad Pitt is a goat.

  24. Questions/Comments?

  25. National Resident Matching

  26. (Screen) Docs are coming to BUF Buffalo General Hawkeye (M*A*S*H) Millard Filmore (Gates Circle) JD (Scrubs) Millard Filmore (Suburban)

  27. What can go wrong?

  28. The situation is unstable!

  29. What happens in real life Preferences Information Preferences

  30. NRMP plays matchmaker

  31. Stable Marriage Problem David Gale Lloyd Shapley

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