L1 Regularization for Compact Support
L1 Regularization for Compact Support
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DOI：
10.1137/17s015859
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发表时间：
2018
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影响因子：
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通讯作者：
Timothy Li
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文献类型：
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作者：
Timothy Li
本文解决了Osher和Yen的一个猜想，即L对某些极小化问题的正则化保证了极小元的紧支集。特别地，我们考虑了一类极小化问题，证明了在给定的强迫函数充分衰减到−∞和∞的充分条件下，增加一个L项将强制解的紧支撑性。事实证明，发现的情况是尖锐的。
In this paper, we solve a conjecture of Osher and Yin that L regularization of certain minimization problems ensures compact support of minimizers. In particular, we consider a class of minimization problems and show that adding an L term forces compact support of solutions given certain sufficient conditions namely that the given forcing function sufficiently decays toward −∞ and ∞. It turns out that the condition found is sharp.