Gaby Contardo (Flatiron) and I are asking whether you can predict the next data point in a stellar light curve from the last N data points or whether you can post-dict (is that a word?) the previous data point in a light curve from the next N. The results are surprisingly rich. She showed some of them in Stars and Exoplanets Meeting today.
In that same meeting I showed my attempt to measure the astrometry (celestial position and proper motion) of a star from the radial-velocity variations you see on an Earth-bound observatory. It is surprisingly precise! But not as precise as direct astrometric measurements.
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