Ridge Functions and Applications in Neural Networks (Mathematical Surveys and Monographs, 263) - Softcover

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Ridge functions appear in various fields and under various guises, says Ismailov, for example in partial differential equations-where they are called plane waves-, computerized tomography, and statistics. Here he is interested in them as the underpinnings of many central models in neural networks, and from the perspective of approximation theory. He covers properties of linear combinations of ridge functions, the smoothness problem in ridge function representation, approximation of multivariate functions by sums of univariate functions, generalized ridge functions and linear superpositions, and applications to neural networks. Annotation ©2022 Ringgold, Inc., Portland, OR (protoview.com)

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