Results 41 to 50 of about 31,241 (250)
IEEE Access, 2019 In this paper, we study the minimization of lp-q (0 <; p ≤ 1, q ≥ 1, p=6q), the general difference of lp and lq norms/quasi-norms, as a nonconvex metric for solving unconstrained nonlinear programming. We first establish an exact (stable)
Yi Cen, Linna Zhang, Ke Wang, Yigang Cen
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Instance Optimal Decoding and the Restricted Isometry Property
Journal of Physics: Conference Series, 2018 In this paper, we address the question of information preservation in ill-posed, non-linear inverse problems, assuming that the measured data is close to a low-dimensional model set. We provide necessary and sufficient conditions for the existence of a so-called instance optimal decoder, i.e., that is robust to noise and modelling error.
Keriven, Nicolas, Gribonval, Rémi
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Improved RIP Conditions for Compressed Sensing with Coherent Tight Frames
Discrete Dynamics in Nature and Society, 2017 This paper establishes new sufficient conditions on the restricted isometry property (RIP) for compressed sensing with coherent tight frames.
Yao Wang, Jianjun Wang
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Stable Recovery of Signals From Highly Corrupted Measurements
IEEE Access, 2018 In this paper, we consider the stable recovery of sparse or proximately sparse signals x ∈ ℝn from highly corrupted linear measurements b = Ax + f + e, where f ∈ ℝm is a sparse error vector whose nonzero entries may be ...
Ningning Li, Wengu Chen, Peng Li
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Rigorous restricted isometry property of low-dimensional subspaces
Applied and Computational Harmonic Analysis, 2020 33 ...
Gen Li 0005, Qinghua Liu, Yuantao Gu
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Human-Imperceptible Identification With Learnable Lensless Imaging
IEEE Access, 2023 Lensless imaging protects visual privacy by capturing heavily blurred images that are imperceptible for humans to recognize the subject but contain enough information for machines to infer information.
Thuong Nguyen Canh +2 more
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On the existence of equivalence class of RIP-compliant matrices [PDF]
, 2015 In Compressed Sensing (CS), the matrices that satisfy the Restricted Isometry Property (RIP) play an important role. But it is known that the RIP properties of a matrix Φ and its `weighted matrix' GΦ (G being a non-singular matrix) vary drastically in ...
Challa, Subrahmanya Sastry +2 more
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Sub-Nyquist SAR via Quadrature Compressive Sampling with Independent Measurements
Remote Sensing, 2019 This paper presents an efficient sampling system for the acquisition of synthetic aperture radar (SAR) data at sub-Nyquist rate. The system adopts a quadrature compressive sampling architecture, which uses modulation, filtering, sampling and digital ...
Huizhang Yang +3 more
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The Computational Complexity of the Restricted Isometry Property, the Nullspace Property, and Related Concepts in Compressed Sensing [PDF]
, 2013 This paper deals with the computational complexity of conditions which guarantee that the NP-hard problem of finding the sparsest solution to an underdetermined linear system can be solved by efficient algorithms.
Pfetsch, Marc E., Tillmann, Andreas M.
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Sparse Recovery With Block Multiple Measurement Vectors Algorithm
IEEE Access, 2019 This paper investigates the performance of the block multiple measurement vectors (BMMV) algorithm in reconstructing block joint sparse matrices. We prove that if 41) obeys block restricted isometry property with 8 K+1 <; Nf +1 , then BMMV perfectly ...
Yanli Shi, Libo Wang, Rong Luo
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