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- W2080355823 abstract "This paper deals with learning by natural-gradient optimization on noncompact manifolds. In a Riemannian manifold, the calculation of entities such as the closed form of geodesic curves over <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>noncompact</i> manifolds might be infeasible. For this reason, it is interesting to study the problem of learning by optimization over noncompact manifolds endowed with pseudo-Riemannian metrics, which may give rise to tractable calculations. A general theory for natural-gradient-based learning on noncompact manifolds as well as specific cases of interest of learning are discussed." @default.
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- W2080355823 date "2010-05-01" @default.
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- W2080355823 title "Learning by Natural Gradient on Noncompact Matrix-Type Pseudo-Riemannian Manifolds" @default.
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- W2080355823 doi "https://doi.org/10.1109/tnn.2010.2043445" @default.
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