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Maksim Tsvetovat
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Clustering, Continued
Hierarchical Clustering ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Algorithm ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Distance between clusters ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Preferred methods? ,[object Object],[object Object],[object Object]
Example - US Cities ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Example - cont. ,[object Object],BOS/NY DC MIA CHI SEA SF LA DEN BOS/NY 0 223 1308 802 2815 2934 2786 1771 DC 223 0 1075 671 2684 2799 2631 1616 MIA 1308 1075 0 1329 3273 3053 2687 2037 CHI 802 671 1329 0 2013 2142 2054 996 SEA 2815 2684 3273 2013 0 808 1131 1307 SF 2934 2799 3053 2142 808 0 379 1235 LA 2786 2631 2687 2054 1131 379 0 1059 DEN 1771 1616 2037 996 1307 1235 1059 0
Example ,[object Object],BS/NY/DC MIA CHI SEA SF LA DEN BS/NY/DC 0 1075 671 2684 2799 2631 1616 MIA 1075 0 1329 3273 3053 2687 2037 CHI 671 1329 0 2013 2142 2054 996 SEA 2684 3273 2013 0 808 1131 1307 SF 2799 3053 2142 808 0 379 1235 LA 2631 2687 2054 1131 379 0 1059 DEN 1616 2037 996 1307 1235 1059 0
Example BOS/NY/DC/CHI MIA SF/LA/SEA DEN BOS/NY/DC/CHI 0 1075 2013 996 MIA 1075 0 2687 2037 SF/LA/SEA 2054 2687 0 1059 DEN 996 2037 1059 0 BOS/NY/DC/CHI/DEN 0 1075 1059 MIA 1075 0 2687 SF/LA/SEA 1059 2687 0 BOS/NY/DC/CHI/DEN/SF/LA/SEA 0 1075 MIA 1075 0
Example: Final Clustering ,[object Object]
Comments ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Extensions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Multi-Dimensional Scaling ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Input to MDS ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Algorithm ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Dimensionality ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Stress function ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Stress Function, cont. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Non-zero stress ,[object Object],[object Object],[object Object],[object Object],[object Object]
Increasing dimensionality ,[object Object]
Interpretation of MDS Map ,[object Object],[object Object],[object Object],[object Object],[object Object]
What to look for ,[object Object],[object Object],[object Object],[object Object]
What to look for… ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
High-dimensionality MDS ,[object Object],[object Object],[object Object]

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  • 9. Example BOS/NY/DC/CHI MIA SF/LA/SEA DEN BOS/NY/DC/CHI 0 1075 2013 996 MIA 1075 0 2687 2037 SF/LA/SEA 2054 2687 0 1059 DEN 996 2037 1059 0 BOS/NY/DC/CHI/DEN 0 1075 1059 MIA 1075 0 2687 SF/LA/SEA 1059 2687 0 BOS/NY/DC/CHI/DEN/SF/LA/SEA 0 1075 MIA 1075 0
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.
  • 18.
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  • 20.
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  • 23.
  • 24.