arXiv:2606.21322cs.LGnlin.CD2026-06

用储层计算机输出权重分布检测系统异常,可发现人眼难辨的动态变化。

Distinguishing indistinguishable attractors: Unsupervised anomaly detection with reservoir computers

论文配图:Distinguishing indistinguishable attractors: Unsupervised anomaly detection with reservoir computers
图 1 · 摘自论文原文
  • 通过分析储层计算机输出权重的累积分布函数,实现无监督异常检测。
  • 能识别比最强深度学习基线小7倍的参数漂移,噪声检测灵敏度达信号的1/10000。
  • 适用于心电图等复杂系统,尤其适合难以用传统方法区分的微小异常。

检测非线性动力系统偏离正常状态是跨学科的常见挑战,涵盖心脏病学、气候与能源系统等领域。我们发现,对储层计算机输出权重进行简单的柯尔莫哥洛夫-斯米尔诺夫检验,对非线性动力系统的模式变化极为敏感,甚至可检测出经典非线性指标和现代深度学习探测器均无法察觉的变化。核心思路是将储层计算机的读出层视为输入动力学的表征。由于输入映射和储层本身为随机且固定,训练后的输出权重是唯一编码系统特性的对象。我们以输出权重的经验累积分布函数作为该系统的指纹,并与训练数据构建的参考带进行比较。此无监督在线检测器可区分视觉上无法分辨的蝴蝶形吸引子,分辨参数漂移精度为最强深度学习基线的七倍,噪声检测灵敏度达信号的四数量级以下,并成功识别临床心电图中的室颤。更广泛地,我们主张将训练后的输出权重视为系统自身的一种独立表征,而不仅是预测工具。

原文摘要 · Abstract (English)

Detecting when a nonlinear dynamical system departs from its normal regime is a recurring problem across the sciences, from cardiology to climate and energy systems. We show that a very simple Kolmogorov--Smirnov test on the output weights of a reservoir computer is highly sensitive to regime changes in nonlinear dynamical systems, including those invisible to both classical nonlinear measures and modern deep-learning detectors. The core idea of our algorithm is to treat the readout layer of a reservoir computer as a representation of the input dynamics. Since the input mapping and the reservoir itself are random and fixed, the trained output weights are the only object encoding the system at hand. We summarize this fingerprint by the empirical cumulative distribution function of the readout weights and compare it to a reference band built from the training data. This unsupervised, online detector distinguishes two visually indistinguishable butterfly-shaped attractors, resolves parameter drifts seven times smaller than the strongest deep-learning baseline, flags noise four orders of magnitude below the signal, and identifies ventricular flutter in a clinical ECG recording. More broadly, we aim to establish a perspective on reservoir computers in which the trained output weights are treated as a representation of the learned system in their own right, rather than merely as a means to forecasting.

异常检测储层计算非线性系统无监督学习

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