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For a specific application at hand, I need to visualise samples from a high dimensional space into 2D, while respecting their distances as much as possible.

Normally, I would simply use Multidimensional Scaling, but in this application it is important that the boundaries of the 2D plane are periodic, forming a torus.

I have not come across any implementations of such a method, and in fact I have not even encountered theoretical work on it. Can you recommend either works on this topic, or provide an answer?

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  • $\begingroup$ Can you add more explanation what you want, maybe a picture? $\endgroup$ – ttnphns May 9 '18 at 5:42

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