arXiv:2512.24445cs.LGcs.SY2025-12

通过误差演化诊断实现自适应学习,提升动态环境下的稳定性与可靠性。

Adaptive Learning Guided by Bias-Noise-Alignment Diagnostics

  • 将误差分解为偏差、噪声和对齐三部分,实时监控学习过程
  • 在多种学习任务中实现稳定更新,避免过冲和发散
  • 适用于强化学习与优化器设计,可解释性强,计算轻量

在非平稳且安全关键的环境中部署的学习系统常因学习动态随时间演变而出现不稳定性、收敛缓慢或脆弱适应。尽管现代优化、强化学习和元学习方法能适应梯度统计特性,却忽略了误差信号本身的时序结构。本文提出一种基于诊断的自适应学习框架,通过有原则地将误差演化分解为偏差(捕捉持续漂移)、噪声(捕捉随机波动)和对齐(捕捉重复方向激励导致的过冲),在线计算轻量级损失或时序差分(TD)误差轨迹统计量,且不依赖模型架构或任务领域。我们证明该偏差-噪声-对齐分解可统一作为监督优化、演员-评论家强化学习及学习优化器的控制基础。在此框架下,提出了三种诊断驱动实例:人类启发的监督自适应优化器(HSAO)、混合误差诊断强化学习(HED-RL)用于演员-评论家方法,以及元学习的学习策略(MLLP)。在标准光滑性假设下,所有情况均保证有效更新有界性和稳定性。代表性案例显示,该诊断信号能根据TD误差结构调节自适应行为。总体而言,本工作将误差演化提升为自适应学习中的核心对象,提供了一种可解释、轻量化的可靠学习基础。

原文摘要 · Abstract (English)

Learning systems deployed in nonstationary and safety-critical environments often suffer from instability, slow convergence, or brittle adaptation when learning dynamics evolve over time. While modern optimization, reinforcement learning, and meta-learning methods adapt to gradient statistics, they largely ignore the temporal structure of the error signal itself. This paper proposes a diagnostic-driven adaptive learning framework that explicitly models error evolution through a principled decomposition into bias, capturing persistent drift; noise, capturing stochastic variability; and alignment, capturing repeated directional excitation leading to overshoot. These diagnostics are computed online from lightweight statistics of loss or temporal-difference (TD) error trajectories and are independent of model architecture or task domain. We show that the proposed bias-noise-alignment decomposition provides a unifying control backbone for supervised optimization, actor-critic reinforcement learning, and learned optimizers. Within this framework, we introduce three diagnostic-driven instantiations: the Human-inspired Supervised Adaptive Optimizer (HSAO), Hybrid Error-Diagnostic Reinforcement Learning (HED-RL) for actor-critic methods, and the Meta-Learned Learning Policy (MLLP). Under standard smoothness assumptions, we establish bounded effective updates and stability properties for all cases. Representative diagnostic illustrations in actor-critic learning highlight how the proposed signals modulate adaptation in response to TD error structure. Overall, this work elevates error evolution to a first-class object in adaptive learning and provides an interpretable, lightweight foundation for reliable learning in dynamic environments.

自适应学习强化学习误差诊断稳定性

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