arXiv:2604.09943cs.LGnlin.CD2026-04

受前庭系统启发,用无连接结构实现高效物理存算。

Vestibular reservoir computing

论文配图:Vestibular reservoir computing
图 1 · 摘自论文原文
  • 借鉴生物前庭系统,设计无连接的物理存算结构。
  • 理论证明无连接与全连接在特定条件下记忆能力相当。
  • 适合追求低功耗、易集成的物理存算应用者。

存算(Reservoir Computing, RC)因其训练效率高,适用于物理硬件实现。然而,传统存算网络复杂的互联结构在物理系统中实现仍面临重大挑战。本文提出一种受生物前庭系统启发的物理存算方案,通过引入设计的无连接拓扑,实现了与全连接网络相当的性能。我们通过推导线性存算的内存容量公式,理论上分析了两种拓扑的差异,识别出二者内存能力等效的具体条件,并验证该结论在非线性系统中近似成立。此外,我们系统研究了存算规模对预测统计与内存容量的影响。结果表明,无连接存算架构为高效物理存算提供了数学严谨且实用可行的路径。

原文摘要 · Abstract (English)

Reservoir computing (RC) is a computational framework known for its training efficiency, making it ideal for physical hardware implementations. However, realizing the complex interconnectivity of traditional reservoirs in physical systems remains a significant challenge. This paper proposes a physical RC scheme inspired by the biological vestibular system. To overcome hardware complexity, we introduce a designed uncoupled topology and demonstrate that it achieves performance comparable to fully coupled networks. We theoretically analyze the difference between these topologies by deriving a memory capacity formula for linear reservoirs, identifying specific conditions where both configurations yield equivalent memory. These analytical results are demonstrated to approximately hold for nonlinear reservoir systems. Furthermore, we systematically examine the impact of reservoir size on predictive statistics and memory capacity. Our findings suggest that uncoupled reservoir architectures offer a mathematically sound and practically feasible pathway for efficient physical reservoir computing.

存算神经形态生物启发

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。