A Common Framework for Natural Gradient and Taylor based Optimisation using Manifold Theory

Adnan Haider

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arXiv · 1803.09791

A Common Framework for Natural Gradient and Taylor based Optimisation using Manifold Theory

Adnan Haider

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Abstract

This technical report constructs a theoretical framework to relate standard Taylor approximation based optimisation methods with Natural Gradient (NG), a method which is Fisher efficient with probabilistic models. Such a framework will be shown to also provide mathematical justification to combine higher order methods with the method of NG.

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Adnan Haider. 2018-03-26. A Common Framework for Natural Gradient and Taylor based Optimisation using Manifold Theory. https://arxiv.org/abs/1803.09791

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