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• W2964205657 abstract "This paper studies the recovery guarantees of the models of minimizing ||χ||* + 1/2α||χ||F2 where χ is a tensor and ||χ||* and ||χ||F are the trace and Frobenius norm of respectively. We show that they can efficiently recover low-rank tensors. In particular, they enjoy exact guarantees similar to those known for minimizing ||χ||* under the conditions on the sensing operator such as its null-space property, restricted isometry property, or spherical section property. To recover a low-rank tensor χ0, minimizing ||χ||* + 1/2α||χ||F2 returns the same solution as minimizing ||χ||* almost whenever α ≥ 10 max i ||X(i)0||2." @default.
• W2964205657 created "2019-07-30" @default.
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• W2964205657 date "2013-08-03" @default.
• W2964205657 modified "2023-09-23" @default.
• W2964205657 title "Guarantees of augmented trace norm models in tensor recovery" @default.
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