Stability and Robustness of Weak Orthogonal Matching Pursuits

Stability and Robustness of Weak Orthogonal Matching Pursuits
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DOI:
10.1007/978-1-4614-4565-4_30
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发表时间:
2012
期刊:
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影响因子:
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通讯作者:
S. Foucart
S. Foucart
中科院分区:
其他
文献类型:
--
作者:
S. Foucart

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最近的结果建立,在有限的等距条件下,成功的稀疏恢复通过正交匹配追求使用的迭代次数成比例的稀疏水平扩展到弱正交匹配追求。新的结果也适用于一个纯粹的正交匹配的追求,其中的索引附加到支持在每次迭代选择最大化的残差向量的平方范数的后续减少。
A recent result establishing, under restricted isometry conditions, the success of sparse recovery via orthogonal matching pursuit using a number of iterations proportional to the sparsity level is extended to weak orthogonal matching pursuits. The new result also applies to a pure orthogonal matching pursuit, where the index appended to the support at each iteration is chosen to maximize the subsequent decrease of the squared norm of the residual vector.