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Mondobrain proposes a "big data" technology with:

a new generation of algorithms based on A. Grothendieck scheme theory (Field Medal) that extract knowledge and rules from data without any model or distance, and that can explore every part of multi-dimensional spaces independently.

What is behind this method that does not use "model of distance"? Are there relations methods like Topological Data Analysis (evoked at math stackexchange)?

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    $\begingroup$ I'd ask them for a white paper. I can't imagine anybody would be willing to pay for their product without understanding how it works. The people behind TDA at Ayasdi have lots of papers. I have not encountered any research on scheme theory in machine learning. $\endgroup$ – Emre Jun 6 '16 at 17:38
  • $\begingroup$ I would also be interested in sharing any information on this Grothendieck scheme based approach as it seems quite original in the world of data science. Any news from your side? Thank you in advance. $\endgroup$ – Jean-Phi N Dec 18 '16 at 20:49
  • $\begingroup$ @Emre I only got a vague paper, nothing solid to build on $\endgroup$ – Laurent Duval Dec 18 '16 at 20:54
  • $\begingroup$ Nothing solid yet, unfortunately $\endgroup$ – Laurent Duval Dec 19 '16 at 4:00

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