Spectral regularization on computer vision problems?

I recently attended a talk by Robert Tibshirani, who mostly presented his work (and related developments) of the Lasso. The talk was very interesting, but I found some of his most recent work on spectral regularization for matrix completion particularly interesting. There are several problems in vision that suffer from unknown data, and this tool seemed like it could help out. I quickly prototyped some solutions using his/their approach and it does seem to have benefits in these applications, although I’m not sure of the impact.

I have written a draft document that details the problems that I was thinking about: spectral-reg-vision.pdf

And some quick and dirty matlab scripts that were used in the testing: spectreg

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