1. TexPoint fonts used in EMF.
Bi-criteria Linear-time Approximations for Generalized k-Mean/Median/Center
Speaker: Dan Feldman
Joint work with
Amos Fiat, Danny Segev & Micha Sharir
TexPoint fonts used in EMF.
Read the TexPoint manual before you delete this box.: AAAAAAAAAAAAAAAAAAA

2. 1-Line Median

3. 1-Line Median

4. -Line Median

5. -Approximation (PTAS)

6. -Line Median
-Line Mean
-Line Center

12. -Line Median/Mean/Center is NP-Hard

13. (a, )-Approximation
and
and

14. Example: The 2-Line Median of P

15. (3,½)- approximation to the 2-Line Median of P

16. (4, 10)- approximation to the 2-Line Median of P

17. k j-Flat Median/Mean/Center
A set F of k j-dimensional flats that minimizes the
sum of distances/
sum of squared distances/
maximum distance
from P to F

18. Results for

19. Results for

20. Results for

21. Our Result

22. Applications for

23. Applications for

24. The Algorithm

25. TexPoint fonts used in EMF.
Input
TexPoint fonts used in EMF.
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26. Output (with high probability)

27. Output (with high probability)

28. Initialization  

44. Proof of Correctness for the case of lines ( j=1)

49. Main Technical Theorem

52. Applied for k-line Median

53. Proof of the Technical Theorem

64. Thank you!

65. Lines/Edges Detection

66. Prediction/Analyzing Time Series

67. Prediction/Analyzing Time Series