Shrinkage function and its applications in matrix approximation

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Toby Boas
Aritra Dutta
Xin Li
Katie Mercier
Eric Niderman


The shrinkage function is widely used in matrix low-rank approximation, compressive sensing, and statistical estimation. In this article, an elementary derivation of the shrinkage function is given. In addition, applications of the shrinkage function are demonstrated in solving several well-known problems, together with a new result in matrix approximation.

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