Tags : differential geometry

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Oct 20, 2007

Affine connections and differential geometry

Post @ 12:35:53 | differential geometry

Short week-end post to link this blog to the father of differential information geometry:

Shun-Ichi Amari

Many important publications and that is yet just the top of the iceberg.

Oct 14, 2007

Differential geometry for information geometry

Post @ 10:34:32 | differential geometry

Another week-end short post...

The branch of information geometry began actively in the 1980's with the work of Professor Shun-Ichi Amari who took the stance of differential geometry for analyzing differential probabibility manifolds (of the exp./mixture families).

The key to understand that line of work is the notion of connections linking the tangent vector spaces. As usual, wikipedia does a good job, recalling that notion:

connections@wikipedia

Then you get ready for curvatures and torsions...