대한수학회지 (Journal of the Korean Mathematical Society)

  • 제56권3호
  • /
  • Pages.689-701
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  • 2019
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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STABLE AND ROBUST ℓp-CONSTRAINED COMPRESSIVE SENSING RECOVERY VIA ROBUST WIDTH PROPERTY

  • Yu, Jun (Department of Mathematics and Mathematical Statistics Umea University) ;
  • Zhou, Zhiyong (Department of Mathematics and Mathematical Statistics Umea University)
  • 투고 : 2018.05.09
  • 심사 : 2018.12.06
  • 발행 : 2019.05.01
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초록

We study the recovery results of ${\ell}_p$-constrained compressive sensing (CS) with $p{\geq}1$ via robust width property and determine conditions on the number of measurements for standard Gaussian matrices under which the property holds with high probability. Our paper extends the existing results in Cahill and Mixon from ${\ell}_2$-constrained CS to ${\ell}_p$-constrained case with $p{\geq}1$ and complements the recovery analysis for robust CS with ${\ell}_p$ loss function.

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과제정보

연구 과제 주관 기관 : Swedish Research Council

참고문헌

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