ISTA-Net++: Flexible Deep Unfolding Network for Compressive Sensing
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Abstract (arXiv)
While deep neural networks have achieved impressive success in image compressive sensing (CS), most of them lack flexibility when dealing with multi-ratio tasks and multi-scene images in practical applications. To tackle these challenges, we propose a novel end-to-end flexible ISTA-unfolding deep network, dubbed ISTA-Net++, with superior performance and strong flexibility. Specifically, by developing a dynamic unfolding strategy, our model enjoys the adaptability of handling CS problems with different ratios, i.e., multi-ratio tasks, through a single model. A cross-block strategy is further utilized to reduce blocking artifacts and enhance the CS recovery quality. Furthermore, we adopt a balanced dataset for training, which brings more robustness when reconstructing images of multiple scenes. Extensive experiments on four datasets show that ISTA-Net++ achieves state-of-the-art results in terms of both quantitative metrics and visual quality. Considering its flexibility, effectiveness and practicability, our model is expected to serve as a suitable baseline in future CS research. The source code is available on https://github.com/jianzhangcs/ISTA-Netpp.
Key facts. Cited by 39 papers in the map (data through 7 Oct 2026). Builds on 13 of its 28 references that are in the map. First posted on arXiv 22 Mar 2021.
Builds on
13 of 28 references.
References · 13
- 2014Adam: A Method for Stochastic Optimizationcited by 36,960
- 2017Deep Image Priorcited by 1,097
- 2017FFDNet: Toward a Fast and Flexible Solution for CNN based Image Denoisingcited by 509
- 2020Deep Unfolding Network for Image Super-Resolutioncited by 253
- 2018Denoising Prior Driven Deep Neural Network for Image Restorationcited by 80
- 2020AMP-Net: Denoising based Deep Unfolding for Compressive Image Sensingcited by 68
- 2014From Denoising to Compressed Sensingcited by 67
- 2017Learned D-AMP: Principled Neural Network based Compressive Image Recoverycited by 65
- 2014Group-based Sparse Representation for Image Restorationcited by 39
- 2017Deep Networks for Compressed Image Sensingcited by 23
- 2017Convolutional Neural Networks for Non-iterative Reconstruction of Compressively Sensed Imagescited by 14
- 2018Simultaneous Fidelity and Regularization Learning for Image Restorationcited by 14
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Citing papers per year: 2021: 3; 2022: 7; 2023: 11; 2024: 5; 2025: 7; 2026: 6.
39 papers.
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- 2023RPCANet: Deep Unfolding RPCA Based Infrared Small Target Detectioncited by 43
- 2021Memory-Augmented Deep Unfolding Network for Compressive Sensingcited by 38
- 2021HerosNet: Hyperspectral Explicable Reconstruction and Optimal Sampling Deep Network for Snapshot Compressive Imagingcited by 26
- 2024Real-world Image Dehazing with Coherence-based Pseudo Labeling and Cooperative Unfolding Networkcited by 26
- 2023Dynamic Path-Controllable Deep Unfolding Network for Compressive Sensingcited by 15
- 2021CSformer: Bridging Convolution and Transformer for Compressive Sensingcited by 14
- 2023Optimization-Inspired Cross-Attention Transformer for Compressive Sensingcited by 12
- 2024Invertible Diffusion Models for Compressed Sensingcited by 12
- 2025RPCANet++: Deep Interpretable Robust PCA for Sparse Object Segmentationcited by 11
- 2025DRPCA-Net: Make Robust PCA Great Again for Infrared Small Target Detectioncited by 10
- 2023Self-Supervised Scalable Deep Compressed Sensingcited by 8
- 2023Deep Physics-Guided Unrolling Generalization for Compressed Sensingcited by 7
27 more
- 2022LR-CSNet: Low-Rank Deep Unfolding Network for Image Compressive Sensingcited by 6
- 2022PUERT: Probabilistic Under-sampling and Explicable Reconstruction Network for CS-MRIcited by 5
- 2022An Interpretable MRI Reconstruction Network with Two-grid-cycle Correction and Geometric Prior Distillationcited by 5
- 2023Nest-DGIL: Nesterov-optimized Deep Geometric Incremental Learning for CS Image Reconstructioncited by 5
- 2025DISTA-Net: Dynamic Closely-Spaced Infrared Small Target Unmixingcited by 5
- 2022D3C2-Net: Dual-Domain Deep Convolutional Coding Network for Compressive Sensingcited by 4
- 2025Lightweight Deep Unfolding Networks with Enhanced Robustness for Infrared Small Target Detectioncited by 4
- 2023GA-HQS: MRI reconstruction via a generically accelerated unfolding approachcited by 3
- 2025SeqCSIST: Sequential Closely-Spaced Infrared Small Target Unmixingcited by 3
- 2022Model-Guided Multi-Contrast Deep Unfolding Network for MRI Super-resolution Reconstructioncited by 2
- 2023A Multi-scale Generalized Shrinkage Threshold Network for Image Blind Deblurring in Remote Sensingcited by 2
- 2025RadioDUN: A Physics-Inspired Deep Unfolding Network for Radio Map Estimationcited by 2
- 2022ICRICS: Iterative Compensation Recovery for Image Compressive Sensingcited by 1
- 2022Uformer-ICS: A U-Shaped Transformer for Image Compressive Sensing Servicecited by 1
- 2024On Generalization Bounds for Deep Compound Gaussian Neural Networkscited by 1
- 2026DSCSNet: A Dynamic Sparse Compression Sensing Network for Closely-Spaced Infrared Small Target Unmixingcited by 1
- 2026CPCANet: Deep Unfolding Common Principal Component Analysis for Domain Generalizationcited by 1
- 2023A Lightweight Recurrent Learning Network for Sustainable Compressed Sensingcited by 0
- 2023NL-CS Net: Deep Learning with Non-Local Prior for Image Compressive Sensingcited by 0
- 2023MOSAIC: Masked Optimisation with Selective Attention for Image Reconstructioncited by 0
- 2024Integrating Deep Unfolding with Direct Diffusion Bridges for Computed Tomography Reconstructioncited by 0
- 2024WTDUN: Wavelet Tree-Structured Sampling and Deep Unfolding Network for Image Compressed Sensingcited by 0
- 2025Training-free Ultra Small Model for Universal Sparse Reconstruction in Compressed Sensingcited by 0
- 2026Compressive sensing inspired self-supervised single-pixel imagingcited by 0
- 2026Off-the-shelf Vision Models Benefit Image Manipulation Localizationcited by 0
- 2026Newton Deep Unfolding for Compressed Sensingcited by 0
- 2026DISTA-Net++: Rethinking Infrared Small Target Unmixing Beyond Sub-Pixel Separationcited by 0
- 2026DISTA-Net++: Rethinking Infrared Small Target Unmixing Beyond Sub-Pixel Separation16 Sep 2026
- 2026Newton Deep Unfolding for Compressed Sensing13 Sep 2026
- 2026CPCANet: Deep Unfolding Common Principal Component Analysis for Domain Generalization6 May 2026
- 2026Off-the-shelf Vision Models Benefit Image Manipulation Localization10 Apr 2026
- 2026Compressive sensing inspired self-supervised single-pixel imaging31 Mar 2026
- 2026DSCSNet: A Dynamic Sparse Compression Sensing Network for Closely-Spaced Infrared Small Target Unmixing22 Mar 2026
- 2025Lightweight Deep Unfolding Networks with Enhanced Robustness for Infrared Small Target Detection10 Sep 2025
- 2025RPCANet++: Deep Interpretable Robust PCA for Sparse Object Segmentation6 Aug 2025
- 2025SeqCSIST: Sequential Closely-Spaced Infrared Small Target Unmixing13 Jul 2025
- 2025DRPCA-Net: Make Robust PCA Great Again for Infrared Small Target Detection13 Jul 2025
- 2025RadioDUN: A Physics-Inspired Deep Unfolding Network for Radio Map Estimation10 Jun 2025
- 2025DISTA-Net: Dynamic Closely-Spaced Infrared Small Target Unmixing25 May 2025
27 more
- 2025Training-free Ultra Small Model for Universal Sparse Reconstruction in Compressed Sensing20 Jan 2025
- 2024WTDUN: Wavelet Tree-Structured Sampling and Deep Unfolding Network for Image Compressed Sensing25 Nov 2024
- 2024Integrating Deep Unfolding with Direct Diffusion Bridges for Computed Tomography Reconstruction14 Sep 2024
- 2024Real-world Image Dehazing with Coherence-based Pseudo Labeling and Cooperative Unfolding Network12 Jun 2024
- 2024Invertible Diffusion Models for Compressed Sensing25 Mar 2024
- 2024On Generalization Bounds for Deep Compound Gaussian Neural Networks20 Feb 2024
- 2023RPCANet: Deep Unfolding RPCA Based Infrared Small Target Detection2 Nov 2023
- 2023A Multi-scale Generalized Shrinkage Threshold Network for Image Blind Deblurring in Remote Sensing14 Sep 2023
- 2023Self-Supervised Scalable Deep Compressed Sensing26 Aug 2023
- 2023Nest-DGIL: Nesterov-optimized Deep Geometric Incremental Learning for CS Image Reconstruction6 Aug 2023
- 2023Deep Physics-Guided Unrolling Generalization for Compressed Sensing18 Jul 2023
- 2023Dynamic Path-Controllable Deep Unfolding Network for Compressive Sensing28 Jun 2023
- 2023MOSAIC: Masked Optimisation with Selective Attention for Image Reconstruction1 Jun 2023
- 2023NL-CS Net: Deep Learning with Non-Local Prior for Image Compressive Sensing6 May 2023
- 2023Optimization-Inspired Cross-Attention Transformer for Compressive Sensing27 Apr 2023
- 2023A Lightweight Recurrent Learning Network for Sustainable Compressed Sensing23 Apr 2023
- 2023GA-HQS: MRI reconstruction via a generically accelerated unfolding approach6 Apr 2023
- 2022LR-CSNet: Low-Rank Deep Unfolding Network for Image Compressive Sensing18 Dec 2022
- 2022Model-Guided Multi-Contrast Deep Unfolding Network for MRI Super-resolution Reconstruction15 Sep 2022
- 2022Uformer-ICS: A U-Shaped Transformer for Image Compressive Sensing Service5 Sep 2022
- 2022D3C2-Net: Dual-Domain Deep Convolutional Coding Network for Compressive Sensing27 Jul 2022
- 2022ICRICS: Iterative Compensation Recovery for Image Compressive Sensing19 Jul 2022
- 2022An Interpretable MRI Reconstruction Network with Two-grid-cycle Correction and Geometric Prior Distillation14 May 2022
- 2022PUERT: Probabilistic Under-sampling and Explicable Reconstruction Network for CS-MRI24 Apr 2022
- 2021CSformer: Bridging Convolution and Transformer for Compressive Sensing31 Dec 2021
- 2021HerosNet: Hyperspectral Explicable Reconstruction and Optimal Sampling Deep Network for Snapshot Compressive Imaging12 Dec 2021
- 2021Memory-Augmented Deep Unfolding Network for Compressive Sensing19 Oct 2021
- 2023RPCANet: Deep Unfolding RPCA Based Infrared Small Target Detectioncited by 43
- 2021Memory-Augmented Deep Unfolding Network for Compressive Sensingcited by 38
- 2021HerosNet: Hyperspectral Explicable Reconstruction and Optimal Sampling Deep Network for Snapshot Compressive Imagingcited by 26
- 2024Real-world Image Dehazing with Coherence-based Pseudo Labeling and Cooperative Unfolding Networkcited by 26
- 2023Dynamic Path-Controllable Deep Unfolding Network for Compressive Sensingcited by 15
- 2021CSformer: Bridging Convolution and Transformer for Compressive Sensingcited by 14
- 2023Optimization-Inspired Cross-Attention Transformer for Compressive Sensingcited by 12
- 2025RPCANet++: Deep Interpretable Robust PCA for Sparse Object Segmentationcited by 11
- 2025DRPCA-Net: Make Robust PCA Great Again for Infrared Small Target Detectioncited by 10
- 2023Self-Supervised Scalable Deep Compressed Sensingcited by 8
- 2023Deep Physics-Guided Unrolling Generalization for Compressed Sensingcited by 7
- 2022LR-CSNet: Low-Rank Deep Unfolding Network for Image Compressive Sensingcited by 6
12 most cited of 37 All 37 (JSON)
- 2026DISTA-Net++: Rethinking Infrared Small Target Unmixing Beyond Sub-Pixel Separation16 Sep 2026
- 2026Newton Deep Unfolding for Compressed Sensing13 Sep 2026
- 2026CPCANet: Deep Unfolding Common Principal Component Analysis for Domain Generalization6 May 2026
- 2026Off-the-shelf Vision Models Benefit Image Manipulation Localization10 Apr 2026
- 2026Compressive sensing inspired self-supervised single-pixel imaging31 Mar 2026
- 2026DSCSNet: A Dynamic Sparse Compression Sensing Network for Closely-Spaced Infrared Small Target Unmixing22 Mar 2026
- 2025Lightweight Deep Unfolding Networks with Enhanced Robustness for Infrared Small Target Detection10 Sep 2025
- 2025RPCANet++: Deep Interpretable Robust PCA for Sparse Object Segmentation6 Aug 2025
- 2025SeqCSIST: Sequential Closely-Spaced Infrared Small Target Unmixing13 Jul 2025
- 2025DRPCA-Net: Make Robust PCA Great Again for Infrared Small Target Detection13 Jul 2025
- 2025RadioDUN: A Physics-Inspired Deep Unfolding Network for Radio Map Estimation10 Jun 2025
- 2025DISTA-Net: Dynamic Closely-Spaced Infrared Small Target Unmixing25 May 2025
12 newest of 37 All 37 (JSON)