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融合谱归一化与残差机制的WGAN-GP逆散射成像算法OA

WGAN-GP Inverse Scattering Imaging Algorithm Integrating Spectral Normalization and Residual Mechanisms

中文摘要英文摘要

针对电磁逆散射问题(Inverse Scattering Problem,ISP)中的强非线性病态映射及保真度丢失问题,提出一种融合谱归一化(Spectral Normalization,SN)与残差机制的改进型带梯度惩罚的Wasserstein 生成对抗网络(Wasserstein Generative Ad-versarial Network with Gradient Penalty,WGAN-GP).该算法通过引入Wasserstein 距离并结合SN与梯度惩罚(Gradient Penalty,GP)严格约束判别器的Lipschitz 连续性,解决了传统生成对抗网络(Generative Adversarial Networks,GAN)的模式坍塌难题;在架构设计上,构建并行双路径残差ConvBlock 生成器并融合空间位置编码,提升了模型对散射体精细拓扑与非均匀场量的特征提取能力.实验结果表明,该算法收敛平稳,测试集平均相对L2 误差降至 0.005 3,较标准GAN实现量级提升.相比基准UNet,所提算法有效克服了均值平滑效应,在拓扑保真度上优势显著,为高保真电磁成像提供了有效方案.

To address the problems of strong nonlinear ill-posed mapping and fidelity loss in electromagnetic Inverse Scattering Problem(ISP),an improved Wasserstein Generative Adversarial Network with Gradient Penalty(WGAN-GP)integrating spectral normalization and residual mechanisms is proposed.By introducing the Wasserstein distance and combining Spectral Normalization(SN)with Gradient Penalty(GP)to strictly constrain the Lipschitz continuity of the discriminator,the algorithm resolves the mode collapse problem inherent in traditional Generative Adversarial Networks(GAN).In terms of architectural design,a parallel dual-path residual ConvBlock generator is constructed and integrated with spatial positional encoding to enhance the model's feature extraction capability for the fine topology and inhomogeneous field quantities of scatterers.Experimental results demonstrate that the algorithm achieves stable convergence,with the average relative L2 error on the test set reduced to 0.005 3,achieving an order-of-magnitude improvement compared with the standard GAN.Compared with the baseline UNet,the proposed algorithm effectively overcomes the mean smoothing effect and exhibits significant advantages in topological fidelity,providing an efficient solution for high-fidelity electromagnetic imaging.

阮昊;王文哲;肖培;李高升

湖南大学 电气与信息工程学院,湖南 长沙 410082北京师范大学 人工智能学院,北京 100875湖南大学 电气与信息工程学院,湖南 长沙 410082湖南大学 电气与信息工程学院,湖南 长沙 410082

信息技术与安全科学

人工智能电磁逆散射生成对抗网络谱归一化残差机制Wasserstein距离

artificial intelligenceelectromagnetic inverse scatteringGANspectral normalizationresidual mechanismWasserstein distance

《无线电工程》 2026 (5)

797-803,7

湖南省科技创新计划(2025RC1027) Science and Technology Innovation Program of Hunan Province(2025RC1027)

10.3969/j.issn.1003-3106.2026.05.005

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