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Universal approximation of multiple nonlinear operators by neural networks.

Andrew D Back·Tianping Chen
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Abstract

Recently, there has been interest in the observed capabilities of some classes of neural networks with fixed weights to model multiple nonlinear dynamical systems. While this property has been observed in simulations, open questions exist as to how this property can arise. In this article, we propose a theory that provides a possible mechanism by which this multiple modeling phenomenon can occur.

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Neural Networks, ComputerNonlinear DynamicsJournal ArticleResearch Support, Non-U.S. Gov't

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Andrew D Back, Tianping Chen. 2002. Universal approximation of multiple nonlinear operators by neural networks.. https://doi.org/10.1162/089976602760407964

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