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Dynamic Path-Controllable Deep Unfolding Network for Compressive Sensing

Published: 01 January 2023 Publication History

Abstract

Deep unfolding network (DUN) that unfolds the optimization algorithm into a deep neural network has achieved great success in compressive sensing (CS) due to its good interpretability and high performance. Each stage in DUN corresponds to one iteration in optimization. At the test time, all the sampling images generally need to be processed by all stages, which comes at a price of computation burden and is also unnecessary for the images whose contents are easier to restore. In this paper, we focus on CS reconstruction and propose a novel Dynamic Path-Controllable Deep Unfolding Network (DPC-DUN). DPC-DUN with our designed path-controllable selector can dynamically select a rapid and appropriate route for each image and is slimmable by regulating different performance-complexity tradeoffs. Extensive experiments show that our DPC-DUN is highly flexible and can provide excellent performance and dynamic adjustment to get a suitable tradeoff, thus addressing the main requirements to become appealing in practice. Codes are available at <uri>https://github.com/songjiechong/DPC-DUN</uri>.

References

[1]
J. Zhang, B. Chen, R. Xiong, and Y. Zhang, “Physics-inspired compressive sensing: Beyond deep unrolling,” IEEE Signal Process. Mag., vol. 40, no. 1, pp. 58–72, Jan. 2023.
[2]
E. J. Candès, J. Romberg, and T. Tao, “Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information,” IEEE Trans. Inf. Theory, vol. 52, no. 2, pp. 489–509, Feb. 2006.
[3]
A. C. Sankaranarayanan, C. Studer, and R. G. Baraniuk, “CS-MUVI: Video compressive sensing for spatial-multiplexing cameras,” in Proc. IEEE Int. Conf. Comput. Photography (ICCP), Apr. 2012, pp. 1–10.
[4]
A. Liutkuset al., “Imaging with nature: Compressive imaging using a multiply scattering medium,” Sci. Rep., vol. 4, p. 5552, Jul. 2014.
[5]
A. Zymnis, S. Boyd, and E. J. Candès, “Compressed sensing with quantized measurements,” IEEE Signal Process. Lett., vol. 17, no. 2, pp. 149–152, Feb. 2010.
[6]
T. P. Szczykutowicz and G.-H. Chen, “Dual energy CT using slow kVp switching acquisition and prior image constrained compressed sensing,” Phys. Med. Biol., vol. 55, no. 21, p. 6411, 2010.
[7]
J. Zhang, Z. Zhang, J. Xie, and Y. Zhang, “High-throughput deep unfolding network for compressive sensing MRI,” IEEE J. Sel. Topics Signal Process., vol. 16, no. 4, pp. 750–761, Jun. 2022.
[8]
Z. Chenet al., “Compressive sensing multi-layer residual coefficients for image coding,” IEEE Trans. Circuits Syst. Video Technol., vol. 30, no. 4, pp. 1109–1120, Apr. 2020.
[9]
M. F. Duarteet al., “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag., vol. 25, no. 2, pp. 83–91, Mar. 2008.
[10]
F. Rousset, N. Ducros, A. Farina, G. Valentini, C. D’Andrea, and F. Peyrin, “Adaptive basis scan by wavelet prediction for single-pixel imaging,” IEEE Trans. Comput. Imag., vol. 3, no. 1, pp. 36–46, Mar. 2017.
[11]
H. Shen, X. Li, L. Zhang, D. Tao, and C. Zeng, “Compressed sensing-based inpainting of aqua moderate resolution imaging spectroradiometer band 6 using adaptive spectrum-weighted sparse Bayesian dictionary learning,” IEEE Trans. Geosci. Remote Sens., vol. 52, no. 2, pp. 894–906, Feb. 2014.
[12]
C. Mou and J. Zhang, “TransCL: Transformer makes strong and flexible compressive learning,” IEEE Trans. Pattern Anal. Mach. Intell., vol. 45, no. 4, pp. 5236–5251, Apr. 2023.
[13]
Z. Wu, Z. Zhang, J. Song, and M. Zhang, “Spatial-temporal synergic prior driven unfolding network for snapshot compressive imaging,” in Proc. IEEE Int. Conf. Multimedia Expo (ICME), Jul. 2021, pp. 1–6.
[14]
Z. Wu, J. Zhang, and C. Mou, “Dense deep unfolding network with 3D-CNN prior for snapshot compressive sensing,” in Proc. IEEE Int. Conf. Comput. Vis. (ICCV), Oct. 2021, pp. 4892–4901.
[15]
Y. Kim, M. S. Nadar, and A. Bilgin, “Compressed sensing using a Gaussian scale mixtures model in wavelet domain,” in Proc. IEEE Int. Conf. Image Process. (ICIP), Sep. 2010, pp. 3365–3368.
[16]
C. Li, W. Win, H. Jing, and Y. Zhang, “An efficient augmented Lagrangian method with applications to total variation minimization,” Comput. Optim. Appl., vol. 56, no. 3, pp. 507–530, Dec. 2013.
[17]
J. Zhang, D. Zhao, and W. Gao, “Group-based sparse representation for image restoration,” IEEE Trans. Image Process., vol. 23, no. 8, pp. 3336–3351, Aug. 2014.
[18]
J. Zhang, C. Zhao, D. Zhao, and W. Gao, “Image compressive sensing recovery using adaptively learned sparsifying basis via L0 minimization,” Signal Process., vol. 103, pp. 114–126, Oct. 2014.
[19]
X. Gao, J. Zhang, W. Che, X. Fan, and D. Zhao, “Block-based compressive sensing coding of natural images by local structural measurement matrix,” in Proc. Data Compress. Conf., Apr. 2015, pp. 133–142.
[20]
C. A. Metzler, A. Maleki, and R. G. Baraniuk, “From denoising to compressed sensing,” IEEE Trans. Inf. Theory, vol. 62, no. 9, pp. 5117–5144, Sep. 2016.
[21]
C. Zhao, J. Zhang, R. Wang, and W. Gao, “CREAM: CNN-REgularized ADMM framework for compressive-sensed image reconstruction,” IEEE Access, vol. 6, pp. 76838–76853, 2018.
[22]
C. Zhao, S. Ma, and W. Gao, “Image compressive-sensing recovery using structured Laplacian sparsity in DCT domain and multi-hypothesis prediction,” in Proc. IEEE Int. Conf. Multimedia Expo (ICME), Jul. 2014, pp. 1–6.
[23]
C. Zhao, S. Ma, J. Zhang, R. Xiong, and W. Gao, “Video compressive sensing reconstruction via reweighted residual sparsity,” IEEE Trans. Circuits Syst. Video Technol., vol. 27, no. 6, pp. 1182–1195, Jun. 2017.
[24]
C. Zhao, J. Zhang, S. Ma, and W. Gao, “Nonconvex Lp nuclear norm based ADMM framework for compressed sensing,” in Proc. Data Compress. Conf. (DCC), Mar. 2016, pp. 161–170.
[25]
K. Kulkarni, S. Lohit, P. Turaga, R. Kerviche, and A. Ashok, “ReconNet: Non-iterative reconstruction of images from compressively sensed measurements,” in Proc. IEEE Conf. Comput. Vis. Pattern Recognit. (CVPR), Jun. 2016, pp. 449–458.
[26]
Y. Sun, J. Chen, Q. Liu, B. Liu, and G. Guo, “Dual-path attention network for compressed sensing image reconstruction,” IEEE Trans. Image Process., vol. 29, pp. 9482–9495, 2020.
[27]
C. Ren, X. He, C. Wang, and Z. Zhao, “Adaptive consistency prior based deep network for image denoising,” in Proc. IEEE/CVF Conf. Comput. Vis. Pattern Recognit. (CVPR), Jun. 2021, pp. 8596–8606.
[28]
J. Zhang and B. Ghanem, “ISTA-Net: Interpretable optimization-inspired deep network for image compressive sensing,” in Proc. IEEE Conf. Comput. Vis. Pattern Recognit. (CVPR), Jun. 2018, pp. 1828–1837.
[29]
J. Zhang, C. Zhao, and W. Gao, “Optimization-inspired compact deep compressive sensing,” IEEE J. Sel. Topics Signal Process., vol. 14, no. 4, pp. 765–774, May 2020.
[30]
D. You, J. Xie, and J. Zhang, “ISTA-NET++: Flexible deep unfolding network for compressive sensing,” in Proc. IEEE Int. Conf. Multimedia Expo (ICME), Jul. 2021, pp. 1–6.
[31]
D. You, J. Zhang, J. Xie, B. Chen, and S. Ma, “COAST: Controllable arbitrary-sampling NeTwork for compressive sensing,” IEEE Trans. Image Process., vol. 30, pp. 6066–6080, 2021.
[32]
Z. Zhang, Y. Liu, J. Liu, F. Wen, and C. Zhu, “AMP-Net: Denoising-based deep unfolding for compressive image sensing,” IEEE Trans. Image Process., vol. 30, pp. 1487–1500, 2021.
[33]
Y. Chen and T. Pock, “Trainable nonlinear reaction diffusion: A flexible framework for fast and effective image restoration,” IEEE Trans. Pattern Anal. Mach. Intell., vol. 39, no. 6, pp. 1256–1272, Jun. 2017.
[34]
S. Lefkimmiatis, “Non-local color image denoising with convolutional neural networks,” in Proc. IEEE Conf. Comput. Vis. Pattern Recognit. (CVPR), Jul. 2017, pp. 3587–3596.
[35]
J. Kruse, C. Rother, and U. Schmidt, “Learning to push the limits of efficient FFT-based image deconvolution,” in Proc. IEEE Int. Conf. Comput. Vis. (ICCV), Oct. 2017, pp. 4596–4604.
[36]
H. Wanget al., “Stacking networks dynamically for image restoration based on the plug-and-play framework,” in Proc. Eur. Conf. Comput. Vis. (ECCV), Aug. 2020, pp. 446–462.
[37]
F. Kokkinos and S. Lefkimmiatis, “Deep image demosaicking using a cascade of convolutional residual denoising networks,” in Proc. Eur. Conf. Comput. Vis. (ECCV), Sep. 2018, pp. 317–333.
[38]
K. Zhang, W. Zuo, S. Gu, and L. Zhang, “Learning deep CNN denoiser prior for image restoration,” in Proc. IEEE Conf. Comput. Vis. Pattern Recognit. (CVPR), Jul. 2017, pp. 3929–3938.
[39]
W. Dong, P. Wang, W. Yin, and G. Shi, “Denoising prior driven deep neural network for image restoration,” IEEE Trans. Pattern Anal. Mach. Intell., vol. 41, no. 10, pp. 2305–2318, Oct. 2019.
[40]
D. Gilton, G. Ongie, and R. Willett, “Neumann networks for linear inverse problems in imaging,” IEEE Trans. Comput. Imag., vol. 6, pp. 328–343, 2019.
[41]
J. Song, B. Chen, and J. Zhang, “Memory-augmented deep unfolding network for compressive sensing,” in Proc. 29th ACM Int. Conf. Multimedia, Oct. 2021, pp. 4249–4258.
[42]
J. Chen, Y. Sun, Q. Liu, and R. Huang, “Learning memory augmented cascading network for compressed sensing of images,” in Proc. Eur. Conf. Comput. Vis. (ECCV), Aug. 2020, pp. 513–529.
[43]
Y. Su and Q. Lian, “IPiano-Net: Nonconvex optimization inspired multi-scale reconstruction network for compressed sensing,” Signal Process., Image Commun., vol. 89, Nov. 2020, Art. no.
[44]
K. Yu, X. Wang, C. Dong, X. Tang, and C. C. Loy, “Path-restore: Learning network path selection for image restoration,” IEEE Trans. Pattern Anal. Mach. Intell., vol. 44, no. 10, pp. 7078–7092, Oct. 2022.
[45]
Y. Han, G. Huang, S. Song, L. Yang, H. Wang, and Y. Wang, “Dynamic neural networks: A survey,” IEEE Trans. Pattern Anal. Mach. Intell., vol. 44, no. 11, pp. 7436–7456, Nov. 2022.
[46]
M. Zhuet al., “Dynamic resolution network,” in Proc. Int. Conf. Neural Inf. Process. Syst. (NeurIPS), Dec. 2021, pp. 1–12.
[47]
C. Li, G. Wang, B. Wang, X. Liang, Z. Li, and X. Chang, “Dynamic slimmable network,” in Proc. IEEE/CVF Conf. Comput. Vis. Pattern Recognit. (CVPR), Jun. 2021, pp. 8607–8617.
[48]
Z. Wuet al., “BlockDrop: Dynamic inference paths in residual networks,” in Proc. IEEE Conf. Comput. Vis. Pattern Recognit. (CVPR), Jun. 2018, pp. 8817–8826.
[49]
X. Wang, F. Yu, Z.-Y. Dou, T. Darrell, and J. E. Gonzalez, “SkipNet: Learning dynamic routing in convolutional networks,” in Proc. Eur. Conf. Comput. Vis. (ECCV), Sep. 2018, pp. 420–436.
[50]
Y. Song, Y. Zhu, and X. Du, “Dynamic residual dense network for image denoising,” Sensors, vol. 19, no. 17, p. 3809, Sep. 2019.
[51]
K. He, X. Zhang, S. Ren, and J. Sun, “Deep residual learning for image recognition,” in Proc. IEEE Conf. Comput. Vis. Pattern Recognit. (CVPR), Jun. 2016, pp. 770–778.
[52]
J. He, C. Dong, Y. Liu, and Y. Qiao, “Interactive multi-dimension modulation for image restoration,” IEEE Trans. Pattern Anal. Mach. Intell., vol. 44, no. 12, pp. 9363–9379, Dec. 2022.
[53]
H. Cai, J. He, Y. Qiao, and C. Dong, “Toward interactive modulation for photo-realistic image restoration,” in Proc. IEEE/CVF Conf. Comput. Vis. Pattern Recognit. Workshops (CVPRW), Jun. 2021.
[54]
J. Jiang, K. Zhang, and R. Timofte, “Towards flexible blind JPEG artifacts removal,” in Proc. IEEE/CVF Int. Conf. Comput. Vis. (ICCV), Oct. 2021, pp. 4977–4986.
[55]
Y. Choi, M. El-Khamy, and J. Lee, “Variable rate deep image compression with a conditional autoencoder,” in Proc. IEEE Conf. Comput. Vis. Pattern Recognit. (CVPR), Jun. 2019, pp. 3146–3154.
[56]
J. Linet al., “Variable-rate multi-frequency image compression using modulated generalized octave convolution,” in Proc. IEEE 22nd Int. Workshop Multimedia Signal Process. (MMSP), Sep. 2020, pp. 1–6.
[57]
E. Jang, S. Gu, and B. Poole, “Categorical reparameterization with Gumbel-Softmax,” in Proc. Int. Conf. Learn. Represent. (ICLR), Apr. 2017, pp. 1–13.
[58]
T. Dai, Y. Lv, B. Chen, Z. Wang, Z. Zhu, and S.-T. Xia, “Mix-order attention networks for image restoration,” in Proc. 29th ACM Int. Conf. Multimedia, Oct. 2021, pp. 2880–2888.
[59]
J. Hu, L. Shen, and G. Sun, “Squeeze-and-excitation networks,” in Proc. IEEE Conf. Comput. Vis. Pattern Recognit. (CVPR), Jun. 2018, pp. 7132–7141.
[60]
K. Zhang, Y. Li, W. Zuo, L. Zhang, L. V. Gool, and R. Timofte, “Plug-and-play image restoration with deep denoiser prior,” IEEE Trans. Pattern Anal. Mach. Intell., vol. 44, no. 10, pp. 6360–6376, Oct. 2022.
[61]
E. Agustsson and R. Timofte, “NTIRE 2017 challenge on single image super-resolution: Dataset and study,” in Proc. IEEE Conf. Comput. Vis. Pattern Recognit. Workshops (CVPRW), Jul. 2017, pp. 126–135.
[62]
Y. Zhong, C. Zhang, F. Ren, H. Kuang, and P. Tang, “Scalable image compressed sensing with generator networks,” IEEE Trans. Comput. Imag., vol. 8, pp. 1025–1037, 2022.
[63]
C. Ma, J. T. Zhou, X. Zhang, and Y. Zhou, “Deep unfolding for compressed sensing with denoiser,” in Proc. IEEE Int. Conf. Multimedia Expo (ICME), Jul. 2022, pp. 1–6.
[64]
M. Shen, H. Gan, C. Ning, Y. Hua, and T. Zhang, “TransCS: A transformer-based hybrid architecture for image compressed sensing,” IEEE Trans. Image Process., vol. 31, pp. 6991–7005, 2022.
[65]
W. Shi, F. Jiang, S. Liu, and D. Zhao, “Image compressed sensing using convolutional neural network,” IEEE Trans. Image Process., vol. 29, pp. 375–388, 2020.

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cover image IEEE Transactions on Image Processing
IEEE Transactions on Image Processing  Volume 32, Issue
2023
5324 pages

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Published: 01 January 2023

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  • (2024)WTDUN: Wavelet Tree-Structured Sampling and Deep Unfolding Network for Image Compressed SensingACM Transactions on Multimedia Computing, Communications, and Applications10.1145/370173121:1(1-22)Online publication date: 26-Oct-2024
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