Consistency of trace norm minimization

Details Consistency of trace norm minimization Consistency of trace norm minimization

2007-10-15

arxiv.org/abs/0710.2848v1

Computer Science

Learning

Scientific paper

Regularization by the sum of singular values, also referred to as the trace norm, is a popular technique for estimating low rank rectangular matrices. In this paper, we extend some of the consistency results of the Lasso to provide necessary and sufficient conditions for rank consistency of trace norm minimization with the square loss. We also provide an adaptive version that is rank consistent even when the necessary condition for the non adaptive version is not fulfilled.

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