GRADIENT-ENHANCED DEEP NEURAL NETWORK APPROXIMATIONS

نویسندگان

چکیده

We propose in this work the gradient-enhanced deep neural network (DNN) approach for function approximations and uncertainty quantification. More precisely, proposed adopts both evaluations associated gradient information to yield enhanced approximation accuracy. In particular, is included as a regularization term DNN approach, which we present posterior estimates (by two-layer networks) similar those path-norm regularized approximations. also discuss application of quantification, several numerical experiments show that can outperform traditional many cases interest.

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ژورنال

عنوان ژورنال: Journal of machine learning for modeling and computing

سال: 2022

ISSN: ['2689-3967', '2689-3975']

DOI: https://doi.org/10.1615/jmachlearnmodelcomput.2022046782