This new method UMAP looks to be better than TSNE, unfortunately it is not available as a dimension reduction method yet:

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Does anyone know if there exists an implementation of it in, or accessible from, Mathematica?

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    $\begingroup$ The method seems to be pretty new (only published on arxiv in this year's February). You don't expect that anybody implents that for you do you? But with version 11.3, you can try to call the Python code from within Mathematica (see documentation). $\endgroup$ – Henrik Schumacher Aug 29 '18 at 19:24
  • $\begingroup$ @HenrikSchumacher That's true, but I'm hoping someone can figure out how to call into the python code in a clean way... $\endgroup$ – user5601 Aug 31 '18 at 18:07

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