arXiv Machine Learning By Liliana Borcea, Alexander Mamonov, Kui Ren, Haizhao Yang, Chugang Yi

ROMNet: a hybrid reduced order modeling and machine learning approach to waveform inversion

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ROMNet is a hybrid reduced‑order modeling and machine‑learning framework designed to improve waveform inversion for acoustic waves. It replaces the costly nonlinear mapping from a reduced‑order model (ROM) matrix to wave speed with a neural network that outputs a simpler ROM matrix, thereby reducing computational effort. The method is validated on two training datasets—random Gaussian‑based media and the GeoFWI benchmark—and compared against direct ROM inversion and two deep‑learning FWI approaches, Fourier‑DeepONet and InversionNet.

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