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Kernel Mode Decomposition and the Programming of Kernels - Houman Owhadi, Clint Scovel, Gene Ryan Yoo

Kernel Mode Decomposition and the Programming of Kernels

Buch | Softcover
X, 118 Seiten
2021 | 1st ed. 2021
Springer International Publishing (Verlag)
978-3-030-82170-8 (ISBN)
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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 contextof 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.


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.

Erscheinungsdatum
Reihe/Serie Surveys and Tutorials in the Applied Mathematical Sciences
Zusatzinfo X, 118 p. 41 illus., 31 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 207 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Schlagworte Additive Models • Empirical Mode Decomposition • Gaussian Process Regression • Kernel Methods • time-frequency decomposition
ISBN-10 3-030-82170-6 / 3030821706
ISBN-13 978-3-030-82170-8 / 9783030821708
Zustand Neuware
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