In our early meeting today, Gaby Contardo (Flatiron) showed me results from the various tweaks and adjustments she has been making to her method for finding gaps (valleys, holes, lacunae) in point-cloud data. When she applies it to the local velocity distribution in the Milky Way disk, it finds all the gaps we see there and traces them nicely. We have a paper to write! Her method involves critical points and multiple derivatives and a stately kind of gradient descent. It's sweet! We have to work on figuring out how to generalize to arbitrary numbers of dimensions.
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