mlsanityData to 7 Oct 2026

Learned Convolutional Sparse Coding

arXiv 1711.00328 ↗First posted 1 Nov 2017eess.SPcited by 26

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Abstract (arXiv)

We propose a convolutional recurrent sparse auto-encoder model. The model consists of a sparse encoder, which is a convolutional extension of the learned ISTA (LISTA) method, and a linear convolutional decoder. Our strategy offers a simple method for learning a task-driven sparse convolutional dictionary (CD), and producing an approximate convolutional sparse code (CSC) over the learned dictionary. We trained the model to minimize reconstruction loss via gradient decent with back-propagation and have achieved competitive results to KSVD image denoising and to leading CSC methods in image inpainting requiring only a small fraction of their run-time.

Key facts. Cited by 26 papers in the map (data through 7 Oct 2026). First posted on arXiv 1 Nov 2017.

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Citing papers per year: 2021: 8; 2022: 5; 2023: 4; 2024: 5; 2025: 2; 2026: 2.

26 papers.

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  1. 2021Learning to Optimize: A Primer and A Benchmarkcited by 206
  2. 2023LRRNet: A Novel Representation Learning Guided Fusion Network for Infrared and Visible Imagescited by 87
  3. 2021Feasibility-based Fixed Point Networkscited by 17
  4. 2024All-weather Multi-Modality Image Fusion: Unified Framework and 100k Benchmarkcited by 14
  5. 2022Revisiting Sparse Convolutional Model for Visual Recognitioncited by 13
  6. 2021Generalization Error Bounds for Iterative Recovery Algorithms Unfolded as Neural Networkscited by 11
  7. 2022Mixed X-Ray Image Separation for Artworks with Concealed Designscited by 4
  8. 2022Hybrid ISTA: Unfolding ISTA With Convergence Guarantees Using Free-Form Deep Neural Networkscited by 4
  9. 2022D3C2-Net: Dual-Domain Deep Convolutional Coding Network for Compressive Sensingcited by 4
  10. 2023Closed-Loop Transcription via Convolutional Sparse Codingcited by 4
  11. 2024Fast Window-Based Event Denoising with Spatiotemporal Correlation Enhancementcited by 3
  12. 2021CDLNet: Noise-Adaptive Convolutional Dictionary Learning Network for Blind Denoising and Demosaicingcited by 2
14 more
  1. 2024SINET: Sparsity-driven Interpretable Neural Network for Underwater Image Enhancementcited by 2
  2. 2024l0-Regularized Sparse Coding-based Interpretable Network for Multi-Modal Image Fusioncited by 2
  3. 2021DuRIN: A Deep-unfolded Sparse Seismic Reflectivity Inversion Networkcited by 1
  4. 2022Gabor is Enough: Interpretable Deep Denoising with a Gabor Synthesis Dictionary Priorcited by 1
  5. 2024MambaReg: Mamba-Based Disentangled Convolutional Sparse Coding for Unsupervised Deformable Multi-Modal Image Registrationcited by 1
  6. 2021CDLNet: Robust and Interpretable Denoising Through Deep Convolutional Dictionary Learningcited by 0
  7. 2021NuSPAN: A Proximal Average Network for Nonuniform Sparse Model -- Application to Seismic Reflectivity Inversioncited by 0
  8. 2021Learned Interpretable Residual Extragradient ISTA for Sparse Codingcited by 0
  9. 2023A statistical perspective on algorithm unrolling models for inverse problemscited by 0
  10. 2023On The Relationship Between Universal Adversarial Attacks And Sparse Representationscited by 0
  11. 2025Cross-Sequence Semi-Supervised Learning for Multi-Parametric MRI-Based Visual Pathway Delineationcited by 0
  12. 2025Hyperspectral Unmixing with 3D Convolutional Sparse Coding and Projected Simplex Volume Maximizationcited by 0
  13. 2026Mitigating Content Shift and Hallucination in GenAI Image Editing via Structural Refinementcited by 0
  14. 2026MODAL: Multi-Modal Object Re-ID via Model-Driven Sparse Decoupling and Text-Image Differential Filteringcited by 0