论文标题

结构化迭代的硬阈值,并使用网格应用程序和离网应用

Structured Iterative Hard Thresholding with On- and Off-Grid Applications

论文作者

Donato, Joseph S., Levinson, Howard W.

论文摘要

我们考虑了线性稀疏恢复问题,其中已知有关溶液支持的其他结构。所考虑的结构的形式是无重叠的索引集,每个索引都包含支持的一部分。提出了基于迭代硬阈值的算法来解决此问题。该方法的收敛性和误差相对于相互一致性进行了分析。在逆源问题的背景下检查数值模拟,包括用于离网恢复的修改

We consider linear sparse recovery problems where additional structure regarding the support of the solution is known. The form of the structure considered is non-overlapping sets of indices that each contain part of the support. An algorithm based on iterative hard thresholding is proposed to solve this problem. The convergence and error of the method are analyzed with respect to mutual coherence. Numerical simulations are examined in the context of an inverse source problem, including modifications for off-grid recovery

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