Why duel connections? Plane geometry perhaps..
To quote 甘利先生: "a family of probability distributions (i.e. a statistical model) has a rich geometric structure as a manifold with a Riemannian metric and dual connections". For more on why the geometry of information is Riemannian, see the field of Information Geometry.https://twitter.com/davidjayharris/status/1036669293503676416 …
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I think his point is that the set of all random variables is not Riemannian.
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Very interesting - Thanks! And here's a freely available introductory text on the topic; https://projecteuclid.org/euclid.lnms/1215467056 … cc:
@davidjayharris@JoecoopeJoehttps://twitter.com/fchollet/status/1037149383073050624 …Thanks. Twitter will use this to make your timeline better. UndoUndo
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