Show that the set difference metric given by d(A, B) size(A B) size(B A) satisfies the metric axioms given on page 70 A and B are sets and A B is the set difference 1 4 1 4 1 2 0 8 0 6 0 4 0 2 0 8 0 4 0 2 0 2 0 4 0 6 0 8 Cosine Similarity 0 2 0 4 0 6 0 8 Correlation (a) Relationship between Euclide...

1 a Because the size of a set is greater than or equal to 0 dx y 0 b If A B then A B ...

Show that the set difference metric given by d(A, B) = size(A B) + size(B A) satisfies

Question:

Show that the set difference metric given by
d(A, B) = size(A ˆ’ B) + size(B ˆ’ A)
satisfies the metric axioms given on page 70. A and B are sets and A ˆ’ B is the set difference.

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Introduction to Data Mining

ISBN: 978-0321321367

1st edition

Authors: Pang Ning Tan, Michael Steinbach, Vipin Kumar

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Question Posted: Apr 29, 2016 03:25 PM

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Show that the set difference metric given by d(A, B) = size(A B) + size(B A) satisfies

Question:

1.4 1.4 1.2 0.8 0.6 0.4 0.2 0.8 0.4 0.2 0.2 0.4 0.6 0.8 Cosine Similarity 0.2 0.4 0.6 0.8 Correlation (a) Relationship between Euclide distance and the cosine measure (b) Relationship between Euclidean distance and correlation

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Introduction to Data Mining

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