The Dantzig Selector: Sparse Signals Recovery via l_p-q Minimization
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911764261634048 |
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| author | Li, Jie Deng, Chaohong Li, Baode |
| author_facet | Li, Jie Deng, Chaohong Li, Baode |
| contents | In the paper, we proposed the Dantzig selector based on the $l_{p-q}$ ($0<p\leq1, 1<q\leq2$) minimization for the signal recovery. First, we establish the convex combination representation of sparse vectors under the $l_{p-q}$ minimization problem. Next, we give the signal recovery guarantees that based on two classes of restricted isometry property frames. Last, some graphical illustrations are presented for the sufficient conditions of the signal recovery. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_00895 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Dantzig Selector: Sparse Signals Recovery via l_p-q Minimization Li, Jie Deng, Chaohong Li, Baode Optimization and Control 90C26, 94A12, 94A08 In the paper, we proposed the Dantzig selector based on the $l_{p-q}$ ($0<p\leq1, 1<q\leq2$) minimization for the signal recovery. First, we establish the convex combination representation of sparse vectors under the $l_{p-q}$ minimization problem. Next, we give the signal recovery guarantees that based on two classes of restricted isometry property frames. Last, some graphical illustrations are presented for the sufficient conditions of the signal recovery. |
| title | The Dantzig Selector: Sparse Signals Recovery via l_p-q Minimization |
| topic | Optimization and Control 90C26, 94A12, 94A08 |
| url | https://arxiv.org/abs/2309.00895 |