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11

CORR
2007
Springer

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Consistency of trace norm minimization

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Consistency of trace norm minimization

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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.

Francis Bach

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Adaptive Version | CORR 2007 | Education | Rank Rectangular Matrices | Trace Norm |

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Added	13 Dec 2010
Updated	13 Dec 2010
Type	Journal
Year	2007
Where	CORR
Authors	Francis Bach

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