一种基于Adam优化算法的无相源重建方法,结合规范化算法
Zhangqiang Ma1, Zhaowen Yan1, Kunkun Hu1
1School of Electronic and Information Engineering, Beihang University, Beijing 100191, China.
Sensors (Basel, Switzerland)
|February 13, 2026
概括
这项研究介绍了一种新的无相源重建方法,使用Adam优化和L2规范化来准确地解决等值二极管问题. 这种方法克服了传统方法的局限性,提高了对电磁反向问题的准确性和抗噪能力.
科学领域:
- 电磁学 电磁学 电磁学 电磁学
- 计算物理 计算物理
- 信号处理 信号处理
背景情况:
- 在电磁反向问题中,传统的最小平方方法用于等价二极子解决方案,其矩阵条件不佳,导致精度差和噪声灵敏度差.
- 现有的优化算法在代重建过程中经常陷入局部最佳状态.
研究的目的:
- 开发一个稳定和准确的无相源重建方法,用于等价二极管问题.
- 克服传统最小平方和现有的代优化算法的局限性.
主要方法:
- 提出了一种新的方法,将Adam优化算法与L2规范化结合起来,用于无相源重建.
- 亚当优化用于规避条件不良矩阵的直接反转,提高近场源重建的准确性.
- 整合了L2调节以进一步抑制局部最佳并增强双极溶液的抗噪声性能.
主要成果:
- 拟议的方法证明了对等价双极源的稳定和准确的解决方案.
- 与传统方法相比,在近场源重建中显著提高了准确性.
- 在代过程中增强了对噪声的稳定性和有效避免局部最佳值.
结论:
- 结合的Adam优化和L2调节方法为无相等极极重建提供了稳定有效的解决方案.
- 这种方法为电磁反向问题提供了卓越的精度,抗噪性能和融合特性.
- 模拟和实验结果验证了拟议技术的有效性.
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