Soap film smoothing
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If you have a question about this talk, please contact Richard Nickl.
Conventional smoothing methods can perform poorly within complicated domains where the boundary represents
some sort of meaningful barrier. In particular it is often important not to `smooth across’ boundary features.
I discuss the construction of a finite area smoother based on the notion of interpolating some boundary
condition using a soap film, and then allowing the film to distort from its minimum energy configuration to
approximate data. The resulting smooth can be represented using a linear basis expansion with quadratic
penalty, making it easy to incorporate as a component of many statistical models.
This talk is part of the Statistics series.
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