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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Veröffentlicht in:Journal of computational and applied mathematics Jg. 469; S. 116631
Hauptverfasser: Li, Haifeng, Chen, Wengu
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier B.V 01.12.2025
Schlagworte:
Convolutional sparse coding
Sparse signal recovery
Stability guarantees
Stripe coherence
Sparse signal recovery
Stripe coherence
Stability guarantees
Convolutional sparse coding
ISSN:0377-0427
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Zusammenfassung: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