Hyper-ISTA-GHD: An Adaptive Hyperparameter Selection Framework for Highly Squinted Mode Sparse SAR Imaging.

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Title: Hyper-ISTA-GHD: An Adaptive Hyperparameter Selection Framework for Highly Squinted Mode Sparse SAR Imaging.
Authors: Chen, Tiancheng1,2,3 (AUTHOR) chentiancheng21@mails.ucas.ac.cn, Ding, Bailing1,2,3 (AUTHOR), Gao, Heli3,4 (AUTHOR), Liu, Lei4 (AUTHOR), Zhang, Bingchen1,2,3 (AUTHOR), Wu, Yirong1,2,3 (AUTHOR)
Source: Remote Sensing. Jan2026, Vol. 18 Issue 2, p369. 28p.
Subjects: Regularization parameter, Synthetic aperture radar, Iterative methods (Mathematics), Image enhancement (Imaging systems), Image quality in imaging systems, Mathematical regularization
Abstract: Highlights: What are the main findings? A novel training-free framework, Hyper-ISTA-GHD, is proposed for sparse SAR imaging, which automatically and adaptively optimizes both the regularization parameter and step size during reconstruction. The integration of a high-order phase compensation into the observation operator successfully extends the applicability of the sparse imaging method to challenging highly squinted SAR configurations. What are the implications of the main findings? The proposed method achieves high-precision, rapid imaging for highly squinted SAR, significantly enhancing image quality and robustness against noise without manual parameter tuning or reliance on training datasets. This framework offers a highly generalizable and efficient imaging solution applicable to diverse SAR modes and scenes, overcoming critical limitations of existing deep unfolding networks and conventional sparse methods. The highly squinted mode, as an operational configuration of synthetic aperture radar (SAR), fulfills specific remote sensing demands. Under equivalent conditions, it necessitates a higher pulse repetition frequency (PRF) than the side-looking mode but produces inferior imaging quality, thereby constraining its widespread application. By applying the sparse SAR imaging method to highly squinted SAR systems, imaging quality can be enhanced while simultaneously reducing PRF requirements and expanding swath. Hyperparameters in sparse SAR imaging critically influence reconstruction quality and computational efficiency, making hyperparameter optimization (HPO) a persistent research focus. Inspired by HPO techniques in the deep unfolding network (DUN), we modified the iterative soft-thresholding algorithm (ISTA) employed in fast sparse SAR reconstruction based on approximate observation operators. Our adaptation enables adaptive regularization parameter tuning during iterations while accelerating convergence. To improve the robustness of this enhanced algorithm under realistic SAR echoes with noise, we integrated hypergradient descent (HD) to automatically adjust the ISTA step size after regularization parameter convergence, thereby mitigating overfitting. The proposed method, named Hyper-ISTA-GHD, adaptively selects regularization parameters and step sizes. It achieves high-precision, rapid imaging for highly squinted SAR. Owing to its training-free iterative minimization framework, this approach exhibits superior generalization capabilities compared to existing DUN methods and demonstrates broad applicability across diverse SAR imaging modes and scene characteristics. Simulations show that the hyperparameter selection and reconstruction results of the proposed method are almost consistent with the optimal values of traditional methods under different signal-to-noise ratios and sampling rates, but the time consumption is only one-tenth of that of traditional methods. Comparative experiments on the generalization performance with DUN show that the generalization performance of the proposed method is significantly better than DUN in extremely sparse scenarios. [ABSTRACT FROM AUTHOR]
Copyright of Remote Sensing is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Hyper-ISTA-GHD: An Adaptive Hyperparameter Selection Framework for Highly Squinted Mode Sparse SAR Imaging.
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  Data: Highlights: What are the main findings? A novel training-free framework, Hyper-ISTA-GHD, is proposed for sparse SAR imaging, which automatically and adaptively optimizes both the regularization parameter and step size during reconstruction. The integration of a high-order phase compensation into the observation operator successfully extends the applicability of the sparse imaging method to challenging highly squinted SAR configurations. What are the implications of the main findings? The proposed method achieves high-precision, rapid imaging for highly squinted SAR, significantly enhancing image quality and robustness against noise without manual parameter tuning or reliance on training datasets. This framework offers a highly generalizable and efficient imaging solution applicable to diverse SAR modes and scenes, overcoming critical limitations of existing deep unfolding networks and conventional sparse methods. The highly squinted mode, as an operational configuration of synthetic aperture radar (SAR), fulfills specific remote sensing demands. Under equivalent conditions, it necessitates a higher pulse repetition frequency (PRF) than the side-looking mode but produces inferior imaging quality, thereby constraining its widespread application. By applying the sparse SAR imaging method to highly squinted SAR systems, imaging quality can be enhanced while simultaneously reducing PRF requirements and expanding swath. Hyperparameters in sparse SAR imaging critically influence reconstruction quality and computational efficiency, making hyperparameter optimization (HPO) a persistent research focus. Inspired by HPO techniques in the deep unfolding network (DUN), we modified the iterative soft-thresholding algorithm (ISTA) employed in fast sparse SAR reconstruction based on approximate observation operators. Our adaptation enables adaptive regularization parameter tuning during iterations while accelerating convergence. To improve the robustness of this enhanced algorithm under realistic SAR echoes with noise, we integrated hypergradient descent (HD) to automatically adjust the ISTA step size after regularization parameter convergence, thereby mitigating overfitting. The proposed method, named Hyper-ISTA-GHD, adaptively selects regularization parameters and step sizes. It achieves high-precision, rapid imaging for highly squinted SAR. Owing to its training-free iterative minimization framework, this approach exhibits superior generalization capabilities compared to existing DUN methods and demonstrates broad applicability across diverse SAR imaging modes and scene characteristics. Simulations show that the hyperparameter selection and reconstruction results of the proposed method are almost consistent with the optimal values of traditional methods under different signal-to-noise ratios and sampling rates, but the time consumption is only one-tenth of that of traditional methods. Comparative experiments on the generalization performance with DUN show that the generalization performance of the proposed method is significantly better than DUN in extremely sparse scenarios. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of Remote Sensing is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.3390/rs18020369
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      – Code: eng
        Text: English
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        PageCount: 28
        StartPage: 369
    Subjects:
      – SubjectFull: Regularization parameter
        Type: general
      – SubjectFull: Synthetic aperture radar
        Type: general
      – SubjectFull: Iterative methods (Mathematics)
        Type: general
      – SubjectFull: Image enhancement (Imaging systems)
        Type: general
      – SubjectFull: Image quality in imaging systems
        Type: general
      – SubjectFull: Mathematical regularization
        Type: general
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      – TitleFull: Hyper-ISTA-GHD: An Adaptive Hyperparameter Selection Framework for Highly Squinted Mode Sparse SAR Imaging.
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              M: 01
              Text: Jan2026
              Type: published
              Y: 2026
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