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The Intrinsic Geometries of Learning

The Intrinsic Geometries of Learning

This video was recorded at Emerging Trends in Visual Computing. In a seminal paper, Amari (1998) proved that learning can be made more efcient when one uses the intrinsic Riemannian structure of the algorithms' spaces of parameters to point the gradient towards better solutions. In this paper, we show that many learning algorithms, including various boosting algorithms for linear separators, the most popular top-down decision-tree induction algorithms, and some on-line learning algorithms, are spawns of a generalization of Amari's natural gradient to some particular non-Riemannian spaces. These algorithms exploit an intrinsic dual geometric structure of the space of parameters in relationship with particular integral losses that are to be minimized. We unite some of them, such as AdaBoost,... Show More

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