Add Geometric Optimal Transport

[CaiYitao]

Is it possible to add Geometric Optimal Transport, which was developed by Lei Na, Gu Xianfeng, and Shingtung Yau (邱成桐), into this library?
It has application in Geometric Deep Learning

[zsteve]

Hi @CaiYitao ,
Thanks for adding this issue! The link to "Geometric Optimal Transport" takes me to a course webpage. Is there a particular algorithm that you have in mind?
Re geometric DL, I think the general idea is to keep this library general, so I think functionality that's specific to training DL models would be more appropriate for a separate package.

[CaiYitao]

Thank you for your kind reply!
Yeah, that course has the algorithms for geometric optimal transport. it is based on brenier's potential and monge-ampere equation.

As far as I know, it has a dart datastructure, Geometric Variation Algorithm , Geometric Variation algo 2 and Computation Geometric Algorithm which looks very interesting.
as well as Optimal Partial Transport

[davibarreira]

@CaiYitao , it seems the link is not working anymore. Do you know where to find the course material?

[CaiYitao]

Hi @davibarreira You may find them in here https://www3.cs.stonybrook.edu/~gu/