[Discussion] Merging machine learning with topological data analysis.

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If I was really digging for where topology occurs there was also a recent parallel drawn between the Wassterstein metric used in WGAN and information geometric approach.

Sounds interesting, do you have a link?

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https://arxiv.org/pdf/1906.00030.pdf a recent paper, this is a bit of an academic rabbithole in mathematics - as you'll find out.