An improved theoretical analysis of convolutional sparse coding using stripe coherence

Convolutional sparse coding has proven to be very effective in a wide range of applications. Recent work addressed the theoretical performance of global orthogonal matching pursuit (OMP) using the stripe coherence that is a stronger characterization of the convolutional dictionary. In this paper, we...

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Bibliographic Details
Published in:	Journal of computational and applied mathematics Vol. 469; p. 116631
Main Authors:	Li, Haifeng, Chen, Wengu
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.12.2025
Subjects:	Convolutional sparse coding Sparse signal recovery Stability guarantees Stripe coherence Sparse signal recovery Stripe coherence Stability guarantees Convolutional sparse coding
ISSN:	0377-0427
Online Access:	Get full text
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Summary:	Convolutional sparse coding has proven to be very effective in a wide range of applications. Recent work addressed the theoretical performance of global orthogonal matching pursuit (OMP) using the stripe coherence that is a stronger characterization of the convolutional dictionary. In this paper, we further provide the theoretical analysis of convolutional sparse model. Our result improves the guarantee condition for global OMP based on convolutional sparse model. We also provide the theoretical guarantee for basis pursuit using stripe coherence based on convolutional sparse model, which is absent in the existing results.
ISSN:	0377-0427
DOI:	10.1016/j.cam.2025.116631