Kernel mode decomposition and the programming of kernels / Houman Owhadi, Clint Scovel, Gene Ryan Yoo.
Owhadi, Houman. author.; Scovel, Clint, 1955- author.; Yoo, Gene Ryan, author.
2021
QA278.2
Available Online

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Title Kernel mode decomposition and the programming of kernels / Houman Owhadi, Clint Scovel, Gene Ryan Yoo.
Author Owhadi, Houman. author.
ISBN 9783030821715 (electronic bk.)
3030821714 (electronic bk.)
9783030821708 (print)
3030821706
DOI https://doi.org/10.1007/978-3-030-82171-5
Published Cham, Switzerland : Springer, 2021.
Language English
Description 1 online resource (x, 118 pages) : illustrations (some color).
Other Standard Identifiers 10.1007/978-3-030-82171-5 doi
Call Number QA278.2
Dewey Decimal Classification 519.5/36
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Digital File Characteristics text file PDF
Source of Description Online resource; title from PDF title page (SpringerLink, viewed January 5, 2022).
Added Author Scovel, Clint, 1955- author.
Yoo, Gene Ryan, author.
Series Surveys and tutorials in the applied mathematical sciences ; 8. 2199-4773
Available in Other Form Print version: 9783030821708
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Introduction
Review
The mode decomposition problem
Kernel mode decomposition networks (KMDNets)
Additional programming modules and squeezing
Non-trigonometric waveform and iterated KMD
Unknown base waveforms
Crossing frequencies, vanishing modes, and noise
Appendix.

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