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We propose a new method to analyze seismic time series and estimate thearrival-times of seismic waves. Our approach combines two ingredients: thetimes series are first lifted into a high-dimensional space using time-delayembedding; the resulting phase space is then parametrized using a nonlinearmethod based on the eigenvectors of the graph Laplacian. We validate ourapproach using a dataset of seismic events that occurred in Idaho, Montana,Wyoming, and Utah, between 2005 and 2006. Our approach outperforms methodsbased on singular-spectrum analysis, waveleta nalysis, and STA/LTA.

Exploring the Manifold of Seismic Waves: Application to the Estimation of Arrival-Times