Amari, Shun'ichiShun'ichiAmariAy, NihatNihatAy2022-11-182022-11-182015-10Lecture Notes in Computer Science 9389 LNIP: 320-325 (2015)http://hdl.handle.net/11420/14097A divergence function defines a Riemannian metric G and dually coupled affine connections (∇,∇∗) with respect to it in a manifold M. When M is dually flat, a canonical divergence is known, which is uniquely determined from G,∇,∇∗. We search for a standard divergence for a general non-flat M. It is introduced by the magnitude of the inverse exponential map, where α = −(1/3) connection plays a fundamental role. The standard divergence is different from the canonical divergence.enInformatikMathematikConference Paper10.1007/978-3-319-25040-3_35Other