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Fast and Scalable Gaussian Process Modeling with Applications to Astronomical Time Series

  • Authors: Daniel Foreman-Mackey, Eric Agol, Sivaram Ambikasaran, and Ruth Angus

2017 The Astronomical Journal 154 220.

  • Provider: AAS Journals

Caption: Figure 10.

Comparison between the Lomb–Scargle estimator of the PSD and the posterior inference of the PSD as a mixture of stochastically driven simple harmonic oscillators. Top: periodogram of the Kepler light curve for KIC 11615890 computed on the full 4 yr baseline of the mission. The orange line shows a smoothed periodogram, and the blue line indicates the level of the measurement uncertainties. Middle: same periodogram computed using about a month of data. Bottom: power spectrum inferred using the mixture of SHOs model described in the text and only 1 month of Kepler data. The black line shows the median of posterior PSD, and the gray contours show the 68% credible region.

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