This research article discusses a matrix factorization technique that decomposes signals into components, each of which is regularized to ensure it nearly satisfies the constraints imposed by the wave equation. The paper illustrates how this technique can be used in various applications that involve signals propagating through physical media, such as optics, acoustics, and fluid dynamics. The authors also establish theoretical connections between wave-informed learning and filtering theory in signal processing, demonstrating its application in modal analysis problems commonly encountered in structural diagnostics and prognostics.
Publication date: 22 Dec 2023
Project Page: Not provided
Paper: https://arxiv.org/pdf/2312.13584
