arXiv:2607.23285physics.opticscs.LG2026-07

用光子网络模拟大脑结构,发现小世界拓扑最擅长时间序列预测。

Photonic reservoir computing with complex networks

论文配图:Photonic reservoir computing with complex networks
图 1 · 摘自论文原文
  • 用空间光调制器构建光子储层,测试不同网络拓扑的计算性能。
  • 小世界网络记忆容量最高,对混沌时间序列预测效果最佳。
  • 适合研究高速神经形态计算或脑启发式硬件的学者参考。

光子储层计算因其高速和低成本,成为时间序列预测的热门方法。它利用光的高速、宽频带和空间并行性。然而,大规模光子储层中内部连接结构(网络拓扑)对计算性能的影响尚未被系统研究。本研究通过实验与数值模拟,使用空间光调制器系统评估储层内部节点的复杂网络结构,包括小世界和无标度网络拓扑。通过测量记忆容量和进行一阶前向预测任务,对比不同配置的性能表现。结果表明,小世界网络在记忆容量和预测精度上均达到最优。数值分析显示,通过调节网络重连概率和储层泄漏率可进一步优化时间序列预测性能。此外,我们还实现了基于人类脑连接组数据构建的光子人脑网络作为储层,验证了网络拓扑对计算性能的显著影响,小世界结构整体优于其他配置。

原文摘要 · Abstract (English)

Photonic reservoir computing has attracted increasing attention as a fast and low-cost approach for time-series prediction. Photonic reservoir computing utilizes the high speed, broad bandwidth, and spatial parallelism of light. However, the effect of the internal connection structure (network topology) on the computing performance has not been investigated for large-scale photonic reservoirs. In this study, we experimentally and numerically demonstrate photonic reservoir computing using a spatial light modulator to systematically evaluate the relationship between the network topology and the performance of reservoir computing. We introduce complex network structures such as small-world and scale-free network topologies of the internal nodes in the reservoir. We perform the memory capacity measurement and the one-step-ahead prediction task of the chaotic time series to compare the performance. We found that the small-world network exhibits the maximum memory capacity and the best prediction performance. Our numerical calculations reveal that the performance of the time-series prediction can be optimized by changing the rewiring probability of the network and the leak rate of the reservoir. We also implement photonic human brain network as a reservoir, which is designed by the connectomes of human brain activities. We found that the network topology strongly affects the performance of reservoir computing, and the small-world network structure outperforms the other configurations.

光子计算储层计算小世界网络时间序列预测

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