用商用光通信器件实现小型光子神经网络,高效完成复杂任务。
Small-scale photonic Kolmogorov-Arnold networks using standard telecom nonlinear modules

- 用马赫-曾德尔干涉仪等标准光器件构建可训练非线性模块。
- 4模块网络在非线性分类上达94.3%准确率,7模块回归任务R²达0.986。
- 对硬件误差鲁棒,适合在真实光路中部署,适合光计算研究者。
光子神经网络有望实现超快推理,但多数架构依赖线性光学阵列配合电子非线性,重新引入光电转换瓶颈。本文提出完全基于标准电信组件的小型光子柯尔莫戈洛夫-阿诺德网络(SSP-KANs)。每条网络边采用由马赫-曾德尔干涉仪、半导体光放大器和可变光衰减器组成的可训练非线性模块,其四参数转移函数源于增益饱和与干涉混频。尽管光学非线性形式受限,仅含少量光模块的SSP-KANs在分类、回归和图像识别任务中仍表现优异,逼近软件基准且参数更少。四模块网络在非线性分类基准上达到94.3%(四分位区间:90.3–97.4%,10次种子)准确率;七模块网络在六输入回归任务中实现R² = 0.986 ± 0.015。性能在真实硬件损伤下依然稳健,即使输入分辨率降至6比特或信噪比低至14 dB仍保持高准确率。通过使用全可微分物理模型对光参数进行端到端优化,本工作为基于通用电信硬件的光子KAN从仿真到实验验证提供了可行路径。
原文摘要 · Abstract (English)
Photonic neural networks promise ultrafast inference, yet most architectures rely on linear optical meshes with electronic nonlinearities, reintroducing optical-electrical-optical bottlenecks. Here we introduce small-scale photonic Kolmogorov-Arnold networks (SSP-KANs) implemented entirely with standard telecommunications components. Each network edge employs a trainable nonlinear module composed of a Mach-Zehnder interferometer, semiconductor optical amplifier, and variable optical attenuators, providing a four-parameter transfer function derived from gain saturation and interferometric mixing. Despite the constrained functional form of these optical nonlinearities, SSP-KANs comprising only a few optical modules achieve strong nonlinear inference performance across classification, regression, and image recognition tasks, approaching software baselines with significantly fewer parameters. A four-module network achieves $94.3$\% (IQR: $90.3$--$97.4$\%, 10~seeds) accuracy on nonlinear classification benchmarks; a seven-module network attains $R^2 = 0.986 \pm 0.015$ on six-input regression. Performance remains robust under realistic hardware impairments, maintaining high accuracy down to 6-bit input resolution and 14 dB signal-to-noise ratio. By using a fully differentiable physics model for end-to-end optimisation of optical parameters, this work establishes a practical pathway from simulation to experimental demonstration of photonic KANs using commodity telecom hardware.
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