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Canberra Distance

Canberra Distance

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Canberra distance examines the sum of series of a fraction differences between coordinates of a pair of objects. Each term of fraction difference has value between 0 and 1. If one of coordinate is zero, the term become unity regardless the other value, thus the distance will not be affected. Note that if both coordinate are zeros, we need to be defined as . This distance is very sensitive to a small change when both coordinate near to zero.

Formula

For example:

 

 

Features

 

 

 

cost

time

weight

incentive

Object A

0

3

4

5

Object B

7

6

3

-1

Point A has coordinate (0, 3, 4, 5) and point B has coordinate (7, 6, 3, -1).

The Canberra Distance between point A and B is

 

See Also: Bray Curtis distance

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Preferable reference for this tutorial is

Teknomo, Kardi. Similarity Measurement. http:\\people.revoledu.com\kardi\ tutorial\Similarity\

 

 

 

 
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