A Semi-Supervised Electromagnetic Imaging Algorithm Based, on Generative Adversarial Networks
##plugins.pubIds.doi.readerDisplayName##:
https://doi.org/10.13052/2026.ACES.J.410105关键词:
Generative adversarial network, inverse problems, semi-supervised learning摘要
In electromagnetic imaging applications, acquiring labeled data for supervised learning poses a significant challenge due to the high cost and time-consuming annotation processes. To address this limitation, we propose a semi-supervised electromagnetic imaging algorithm leveraging generative adversarial networks (GANs), which effectively integrates limited labeled data with abundant unlabeled measurements. Unlike conventional approaches that directly learn from raw scattered data, our method employs diffraction tomography (DT)-generated images as network inputs, thereby embedding spatial prior knowledge of scatterers to mitigate inherent artifacts such as boundary blurring and speckle noise. The framework features a modified U-Net architecture augmented with convolutional block attention modules (CBAMs) and residual blocks, enhancing feature extraction and segmentation robustness. Furthermore, adversarial training is introduced to refine the segmentation network using pseudo-labels generated from unlabeled DT images, enabling the discriminator to enforce physical consistency between labeled and unlabeled domains. Extensive simulations demonstrate the superiority of our method: when trained with only 100 labeled samples and 1,000 unlabeled samples, the proposed algorithm achieves a 23.0% reduction in mean squared error (MSE) compared to purely supervised counterparts. Additional validation on the handwritten digits and the “Austria” profile highlights its strong generalization capability for reconstructing unseen targets. This work bridges the gap between data-driven deep learning and physical priors, offering a practical solution for high-precision electromagnetic imaging under limited supervision.
##plugins.generic.usageStats.downloads##
参考
R. W. King, M. Owens, and T. T. Wu, Lateral Electromagnetic Waves: Theory and Applications to Communications, Geophysical Exploration, and Remote Sensing. Berlin: Springer Science & Business Media, 2012.
R. Streich, “Controlled-source electromagnetic approaches for hydrocarbon exploration and monitoring on land,” Surveys in Geophysics, vol. 37, pp. 47–80, 2016.
R. Kramme, K.-P. Hoffmann, and R. S. Pozos, Springer Handbook of Medical Technology. Berlin: Springer Science & Business Media, 2011.
M. Maier, S. Paul, M. Rother, S. Di Meo, M. Pasian, J. Schoebel, and V. Issakov, “Microwave imaging for breast cancer detection-a comparison between VNA and FMCW radar,” IEEE Journal of Microwaves, vol. 5, no. 2, pp. 291–304, 2025.
R. Chandra, H. Zhou, I. Balasingham, and R. M. Narayanan, “On the opportunities and challenges in microwave medical sensing and imaging,” IEEE Transactions on Biomedical Engineering, vol. 62, no. 7, pp. 1667–1682, 2015.
M. Salucci, M. Arrebola, T. Shan, and M. Li, “Artificial Intelligence: New frontiers in real-time inverse scattering and electromagnetic imaging,” IEEE Transactions on Antennas and Propagation, vol. 70, no. 8, pp. 6349–6364, 2022.
X. Liu, K. Zheng, and J. Li, “An electromagnetic scattering mechanism recognition method based on deep learning,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 40, no. 01, pp. 10–19, Jan. 2025.
C. X. Yang, J. J. Meng, S. Wei, and M. S. Tong, “A dual-input electromagnetic inverse scattering algorithm based on improved U-Net”, Applied Computational Electromagnetics Society (ACES) Journal, vol. 39, no. 11, pp. 961–969, Nov. 2024.
Z. Wei and X. Chen, “Deep-learning schemes for full-wave nonlinear inverse scattering problems,” IEEE Transactions on Geoscience and Remote Sensing, vol. 57, no. 4, pp. 1849–1860, 2018.
X. Chen, Computational Methods for Electromagnetic Inverse Scattering. Hoboken, NJ: John Wiley & Sons, 2018.
Y. Sanghvi, Y. Kalepu, and U. K. Khankhoje, “Embedding deep learning in inverse scattering problems,” IEEE Transactions on Computational Imaging, vol. 6, pp. 46–56, 2019.
P. M. Van Den Berg and R. E. Kleinman, “A contrast source inversion method,” Inverse Problems, vol. 13, no. 6, p. 1607, 1997.
X. Chen, “Subspace-based optimization method for solving inverse-scattering problems,” IEEE Transactions on Geoscience and Remote Sensing, vol. 48, no. 1, pp. 42–49, 2009.
K. Xu, L. Wu, X. Ye, and X. Chen, “Deep learning-based inversion methods for solving inverse scattering problems with phaseless data,” IEEE Transactions on Antennas and Propagation, vol. 68, no. 11, pp. 7457–7470, 2020.
X. Ye, N. Du, D. Yang, X. Yuan, R. Song, S. Sun, and D. Fang, “Application of generative adversarial network-based inversion algorithm in imaging 2-D lossy biaxial anisotropic scatterer,” IEEE Transactions on Antennas and Propagation, vol. 70, no. 9, pp. 8262–8275, 2022.
N. Karaliolios, F. Chabot, C. Dupont, H. Le Borgne, Q.-C. Pham, and R. Audigier, “Generalized pseudo-labeling in consistency regularization for semi-supervised learning,” in 2023 IEEE International Conference on Image Processing (ICIP), pp. 525–529, 2023.
P. Wang, J. Peng, M. Pedersoli, Y. Zhou, C. Zhang, and C. Desrosiers, “CAT: Constrained adversarial training for anatomically-plausible semi-supervised segmentation,” IEEE Transactions on Medical Imaging, vol. 42, no. 8, pp. 2146–2161, 2023.
X. Xie, J. Niu, X. Liu, Q. Li, Y. Wang, and S. Tang, “DK-consistency: A domain knowledge guided consistency regularization method for semi-supervised breast cancer diagnosis,” in 2021 IEEE International Conference on Bioinformatics and Biomedicine (BIBM), pp. 3435–3442, 2021.
W. C. Chew, Waves and Fields in Inhomogenous Media. Hoboken, NJ: John Wiley & Sons, 1999.
J. D. Shea, P. Kosmas, S. C. Hagness, and B. D. Van Veen, “Contrast-enhanced microwave breast imaging,” in 2009 13th International Symposium on Antenna Technology and Applied Electromagnetics and the Canadian Radio Science Meeting, pp. 1–4, 2009.
C. Yang, J. Zhang, and M. S. Tong, “An FFT-accelerated particle swarm optimization method for solving far-field inverse scattering problems,” IEEE Transactions on Antennas and Propagation, vol. 69, no. 2, pp. 1078–1093, 2020.
A. Onufriev, D. A. Case, and D. Bashford, “Effective Born radii in the generalized Born approximation: The importance of being perfect,” Journal of Computational Chemistry, vol. 23, no. 14, pp. 1297–1304, 2002.
I. Goodfellow, J. Pouget-Abadie, M. Mirza, B. Xu, D. Warde-Farley, S. Ozair, A. Courville, and Y. Bengio, “Generative adversarial networks,” Communications of the ACM, vol. 63, no. 11, pp. 139–144, 2020.
O. Ronneberger, P. Fischer, and T. Brox, “U-Net: Convolutional networks for biomedical image segmentation,” in Medical Image Computing and Computer-Assisted Intervention–MICCAI 2015: 18th International Conference, Munich, Germany, October 5–9, 2015, Proceedings, Part III 18, pp. 234–241, 2015.
S. Woo, J. Park, J.-Y. Lee, and I. S. Kweon, “CBAM: Convolutional block attention module,” in Proceedings of the European Conference on Computer Vision (ECCV), pp. 3–19, 2018.
K. He, X. Zhang, S. Ren, and J. Sun, “Deep residual learning for image recognition,” in Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 770–778, 2016.
C. X. Yang, X. Yang, J. Zhang, C. Zhou, and M. S. Tong, “An electromagnetic imaging algorithm based on generative adversarial network for limited observation angle,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 40, no. 8, pp. 702–713, Aug. 2025.
L. Han, Y. Huang, H. Dou, S. Wang, S. Ahamad, H. Luo, Q. Liu, J. Fan, and J. Zhang, “Semi-supervised segmentation of lesion from breast ultrasound images with attentional generative adversarial network,” Computer Methods and Programs in Biomedicine, vol. 189, p. 105275, 2020.
Z. Wang, A. C. Bovik, H. R. Sheikh, and E. P. Simoncelli, “Image quality assessment: From error visibility to structural similarity,” IEEE Transactions on Image Processing, vol. 13, no. 4, pp. 60–612, 2004.
A. Tarvainen and H. Valpola, “Mean teachers are better role models: Weight-averaged consistency targets improve semi-supervised deep learning results,” Advances in Neural Information Processing Systems, vol. 30, 2017.


