On a five-layer Goupillaud benchmark, a normalized reduced-operator objective outperforms classical data misfit in several regimes and stays competitive in the rest.
Application of the Wasserstein metric to seismic signals
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abstract
Seismic signals are typically compared using travel time difference or $L_2$ difference. We propose the Wasserstein metric as an alternative measure of fidelity or misfit in seismology. It exhibits properties from both of the traditional measures mentioned above. The numerical computation is based on the recent development of fast numerical methods for the Monge-Ampere equation and optimal transport. Applications to waveform inversion and registration are discussed and simple numerical examples are presented.
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Reduced-order modeling for electromagnetic inverse problems: a layered medium benchmark
On a five-layer Goupillaud benchmark, a normalized reduced-operator objective outperforms classical data misfit in several regimes and stays competitive in the rest.