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Published 20 hours ago • verified publisher icon JuliaOptimalTransport

Add Geometric Optimal Transport

Open CaiYitao opened this issue 2 years ago • 4 comments

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

CaiYitao avatar May 15 '22 09:05 CaiYitao

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.

zsteve avatar May 17 '22 08:05 zsteve

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

CaiYitao avatar May 17 '22 17:05 CaiYitao

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

davibarreira avatar May 22 '24 22:05 davibarreira

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

CaiYitao avatar May 23 '24 10:05 CaiYitao