Kernel Mode Decomposition and the Programming of Kernels: 8 (Surveys and Tutorials in the Applied Mathematical Sciences, 8) - Image 1

£48.06

Springer Kernel Mode Decomposition and the Programming of Kernels: 8 (Surveys and Tutorials in the Applied Mathematical Sciences, 8)

Name: Kernel Mode Decomposition and the Programming of Kernels: 8 (Surveys and Tutorials in the Applied Mathematical Sciences, 8)
Brand: Springer
Price: 48.06 GBP
Availability: InStock

Sd-mo30

Differential Equations

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Description

This monograph demonstrates a new approach to the classical mode decomposition problem through nonlinear regression models, which achieve near-machine precision in the recovery of the modes. The presentation includes a review of generalized additive models, additive kernels/Gaussian processes, generalized Tikhonov regularization, empirical mode decomposition, and Synchrosqueezing, which are all related to and generalizable under the proposed framework. Although kernel methods have strong theoretical foundations, they require the prior selection of a good kernel. While the usual approach to this kernel selection problem is hyperparameter tuning, the objective of this monograph is to present an alternative (programming) approach to the kernel selection problem while using mode decomposition as a prototypical pattern recognition problem. In this approach, kernels are programmed for the task at hand through the programming of interpretable regression networks in the context of additive Gaussian processes. It is suitable for engineers, computer scientists, mathematicians, and students in these fields working on kernel methods, pattern recognition, and mode decomposition problems. From the Back Cover This monograph demonstrates a new approach to the classical mode decomposition problem through nonlinear regression models, which achieve near-machine precision in the recovery of the modes. The presentation includes a review of generalized additive models, additive kernels/Gaussian processes, generalized Tikhonov regularization, empirical mode decomposition, and Synchrosqueezing, which are all related to and generalizable under the proposed framework. Although kernel methods have strong theoretical foundations, they require the prior selection of a good kernel. While the usual approach to this kernel selection problem is hyperparameter tuning, the objective of this monograph is to present an alternative (programming) approach to the kernel selection problem while using mode decomposition as a prototypical pattern recognition problem. In this approach, kernels are programmed for the task at hand through the programming of interpretable regression networks in the context of additive Gaussian processes. It is suitable for engineers, computer scientists, mathematicians, and students in these fields working on kernel methods, pattern recognition, and mode decomposition problems.

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Product Specifications

Brand: Springer
Colour: Sd-mo30
Size: 7' X 7'
Format: paperback
ASIN: 3030821706
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 04 December 2021
Listed Since: 19 August 2020

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Springer Kernel Mode Decomposition and the Programming of Kernels: 8 (Surveys and Tutorials in the Applied Mathematical Sciences, 8)

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