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jeanfeydy / geomloss

Geometric loss functions between point clouds, images and volumes
MIT License
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Any studies about the triangular inequality support for the measures? #42

Open manuyavuz opened 3 years ago

manuyavuz commented 3 years ago

Hi,

First of all, thanks for the great library!

I have a question. The web site says that the divergences are symmetric and positive definite. Can we have any claims about if/when triangular inequality may hold for the divergences implemented here?

I am looking into using the library in a problem which needs a metric measure, but I couldn't find any information if there is support for this.

Thanks!