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arXiv · 2109.09625

Efficient Representations of Signals in Nonlinear Signal Processing with Applications to Inverse Problems

Eugene Brevdo
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Abstract

The focus of this thesis is the construction and analysis of efficient representations in nonlinear signal processing, and the applications of these structures to inverse problems in a variety of fields. The work is composed of three major sections, each associated with a different form of data: - Regression and Distance Estimation on Graphs and Riemannian Manifolds. - Instantaneous Time-Frequency Analysis via Synchrosqueezing. - Multiscale Dictionaries of Slepian Functions on the Sphere.

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Eugene Brevdo. 2021-09-20. Efficient Representations of Signals in Nonlinear Signal Processing with Applications to Inverse Problems. https://arxiv.org/abs/2109.09625

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