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Bian - Deep Learning On Smooth Manifolds PDF

6 Pages·2018·English
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by ['matt']| 2018| 6 pages| English

About Bian - Deep Learning On Smooth Manifolds

This document discusses deep learning on manifolds by framing machine learning problems as variational problems on moduli spaces of maps. It proposes a framework for "training" models by constructing a sequence of functions that gradually minimize an error functional through gradient descent. This involves taking the derivative of the error functional to obtain a vector field on the parameter space, then integrating to find a curve that flows to a minimum. Neural networks fit into this framework by choosing parameter spaces consisting of compositions of linear maps and non-linear functions between vector spaces.

Detailed Information

Author:['matt']
Publication Year:2018
Pages:6
Language:English
Format:PDF
Price:FREE
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