2 typo and spacing
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In hierarchical clustering the number of output partitions is not just the horizontal cuts, but also the non horizontal cuts which decides the final clustering. Thus this is can be seen as a third criterion aside the 1. distance metric 2. Linkage criterion.1. distance metric and 2. Linkage criterion. http://en.wikipedia.org/wiki/Hierarchical_clustering 

The criterion you have mentioned is a 3rd kind which is a sort of optimization constraint on the set of partitions in the hierarchy. This is formally presented in this paper and examples of segmentation isare given!   

http://www.esiee.fr/~kiranr/ClimbingECCV2012_Preprint.pdf

In hierarchical clustering the number of output partitions is not just the horizontal cuts, but also the non horizontal cuts which decides the final clustering. Thus this is can be seen as a third criterion aside the 1. distance metric 2. Linkage criterion. http://en.wikipedia.org/wiki/Hierarchical_clustering The criterion you have mentioned is a 3rd kind which is a sort of optimization constraint on the set of partitions in the hierarchy. This is formally presented in this paper and examples of segmentation is given!  http://www.esiee.fr/~kiranr/ClimbingECCV2012_Preprint.pdf

In hierarchical clustering the number of output partitions is not just the horizontal cuts, but also the non horizontal cuts which decides the final clustering. Thus this can be seen as a third criterion aside the 1. distance metric and 2. Linkage criterion. http://en.wikipedia.org/wiki/Hierarchical_clustering 

The criterion you have mentioned is a 3rd kind which is a sort of optimization constraint on the set of partitions in the hierarchy. This is formally presented in this paper and examples of segmentation are given! 

http://www.esiee.fr/~kiranr/ClimbingECCV2012_Preprint.pdf

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In hierarchical clustering the number of output partitions is not just the horizontal cuts, but also the non horizontal cuts which decides the final clustering. Thus this is can be seen as a third criterion aside the 1. distance metric 2. Linkage criterion. http://en.wikipedia.org/wiki/Hierarchical_clustering The criterion you have mentioned is a 3rd kind which is a sort of optimization constraint on the set of partitions in the hierarchy. This is formally presented in this paper and examples of segmentation is given! http://www.esiee.fr/~kiranr/ClimbingECCV2012_Preprint.pdf