지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
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 \cite{cm} 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.
목차
등록된 정보가 없습니다.
참고문헌 (26)
참고문헌 신청
Z. Allen-Zhu / 2016 / Restricted isometry property for general p-norms / IEEE Trans. Inform. Theory 62(10):5839~5854
J. Cahill / 2014 / Robust width: A characterization of uniformly stable and robust compressed sensing / arXiv preprint arXiv:1408.4409
E. J. Candes / 2008 / The restricted isometry property and its implications for compressed sens-ing / C. R. Math. Acad. Sci. Paris 346(9-10):589~592
E. J. Candes / 2006 / Stable signal recovery from incomplete and inaccurate measurements / Comm. Pure Appl. Math 59(8):1207~1223
E. Candes / 2007 / The Dantzig selector : statistical estimation when p is much larger than n / Ann. Statist 35(6):2313~2351
J. Cahill / 2014 / Robust width: A characterization of uniformly stable and robust compressed sensing / arXiv preprint arXiv:1408.4409
E. J. Candes / 2008 / The restricted isometry property and its implications for compressed sens-ing / C. R. Math. Acad. Sci. Paris 346(9-10):589~592
E. J. Candes / 2006 / Stable signal recovery from incomplete and inaccurate measurements / Comm. Pure Appl. Math 59(8):1207~1223
E. Candes / 2007 / The Dantzig selector : statistical estimation when p is much larger than n / Ann. Statist 35(6):2313~2351
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
On the matching number and the independence number of a random induced subhypergraph of a hypergraph
대한수학회보
2018 .01
-
A sufficient condition for hyponormal Toeplitz operators on the Bergman space
대한수학회보
2024 .07
-
Lightlike hypersurfaces of an indefinite trans-Sasakian manifold with an $(\ell,\,m)$-type connection
대한수학회지
2018 .01
-
Lightlike hypersurfaces of an indefinite Kaehler manifold with a symmetric metric connection of type $(\ell,\,m)$
대한수학회보
2016 .01
-
The unit tangent sphere bundle whose characteristic Jacobi operator is pseudo-parallel
대한수학회보
2016 .01
-
Generic lightlike submanifolds of an indefinite trans-Sasakian manifold with an $(\ell, m)$-type metric connection
대한수학회논문집
2019 .01
-
MODULE AMENABILITY OF BANACH ALGEBRAS AND SEMIGROUP ALGEBRAS
호남수학학술지
2019 .01
-
Vanishing properties of $p$-harmonic $\ell$-forms on Riemannian manifolds
대한수학회지
2018 .01
-
목질계 바이오매스로부터 생산된 바이오에탄올 투과증발 과정에서 발생한 투과증발 잔류물의 항산화 활성
목재공학(Journal of the Korean Wood Science and Technology)
2015 .01
-
The $\overline\partial$-problem with support conditions and pseudoconvexity of general order in K\"ahler manifolds
대한수학회지
2016 .01
-
Reconfiguring k-colourings of Complete Bipartite Graphs
Kyungpook Mathematical Journal
2016 .01
-
Two-stage 산 처리에 의한 목질계 바이오매스로부터 푸르푸랄 생산과 회수
목재공학(Journal of the Korean Wood Science and Technology)
2015 .01
-
Generic lightlike submanifolds of an indefinite trans-Sasakian manifold with a non-symmetric non-metric connection of type $(\ell, m)$
대한수학회논문집
2020 .01
-
PARALLEL PERFORMANCE OF THE Gℓ-PCG METHOD FOR IMAGE DEBLURRING PROBLEMS
Journal of applied mathematics & informatics
2018 .01
-
Lightlike hypersurfaces of an indefinite generalized Sasakian space form with a symmetric metric connection of type $(\ell,\,m)$
대한수학회논문집
2016 .01
-
Working with Diverse Learners in Mathematics Classrooms: An Analysis of Elementary Pre-service Teachers' Perceptions Reflected in Lesson Planning
수학교육연구
2019 .03
-
PERFORMANCE OF Gℓ-PCG METHOD FOR IMAGE DENOISING PROBLEMS
Journal of applied mathematics & informatics
2017 .01
-
SMOOTHING APPROXIMATION TO l<sub>1</sub> EXACT PENALTY FUNCTION FOR CONSTRAINED OPTIMIZATION PROBLEMS
Journal of applied mathematics & informatics
2015 .01
-
Right-angled Artin groups on path graphs, cycle graphs and complete bipartite graphs
한국수학논문집
2021 .09
-
Matrix transformations and compact operators on the binomial sequence spaces
한국수학논문집
2019 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0