提出敏感性分析框架,优化全息生成中神经网络的稳定性与通用性。
Towards Robust and Generalizable Gerchberg Saxton based Physics Inspired Neural Networks for Computer Generated Holography: A Sensitivity Analysis Framework
- 基于萨特利扩展索博尔方法,系统评估前向模型与超参数影响
- 发现显示屏像素分辨率是影响性能的关键因素,其次为像素间距、传播距离和波长
- 提出综合评价指标,统一不同配置下的全息系统基准测试标准
计算机生成全息(CGH)在全息增强现实、3D显示、系统神经科学和光学捕获等领域具有应用价值。其核心挑战是从强度测量中求解相位反问题。基于Gerchberg-Saxton的物理启发神经网络(GS-PINNs)虽提升了相位重建能力,但性能高度依赖前向模型(FMs)及其超参数(FMHs),限制了泛化性,增加了基准测试复杂度,并阻碍硬件优化。本文基于萨特利对索博尔方法的扩展,构建系统性敏感性分析框架,量化FMH对GS-PINN性能的影响。分析表明,空间光调制器(SLM)像素分辨率是影响神经网络敏感性的首要因素,其次为像素间距、传播距离和波长。自由空间传播前向模型相比傅里叶全息表现出更优的神经网络性能,具备更强参数化能力和泛化性。我们提出一个复合评估指标,融合性能一致性、泛化能力与超参数扰动鲁棒性,建立跨CGH配置的统一基准。研究将物理启发深度学习理论与实际应用结合,提供前向模型选择、网络架构设计与性能评估的具体指导,推动开发鲁棒、可解释、通用的全息神经网络,支持全息研究与实现中的证据决策。
原文摘要 · Abstract (English)
Computer-generated holography (CGH) enables applications in holographic augmented reality (AR), 3D displays, systems neuroscience, and optical trapping. The fundamental challenge in CGH is solving the inverse problem of phase retrieval from intensity measurements. Physics-inspired neural networks (PINNs), especially Gerchberg-Saxton-based PINNs (GS-PINNs), have advanced phase retrieval capabilities. However, their performance strongly depends on forward models (FMs) and their hyperparameters (FMHs), limiting generalization, complicating benchmarking, and hindering hardware optimization. We present a systematic sensitivity analysis framework based on Saltelli's extension of Sobol's method to quantify FMH impacts on GS-PINN performance. Our analysis demonstrates that SLM pixel-resolution is the primary factor affecting neural network sensitivity, followed by pixel-pitch, propagation distance, and wavelength. Free space propagation forward models demonstrate superior neural network performance compared to Fourier holography, providing enhanced parameterization and generalization. We introduce a composite evaluation metric combining performance consistency, generalization capability, and hyperparameter perturbation resilience, establishing a unified benchmarking standard across CGH configurations. Our research connects physics-inspired deep learning theory with practical CGH implementations through concrete guidelines for forward model selection, neural network architecture, and performance evaluation. Our contributions advance the development of robust, interpretable, and generalizable neural networks for diverse holographic applications, supporting evidence-based decisions in CGH research and implementation.
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