arXiv:2608.30946cs.LGnlin.AO2026-08

发现闭环人机系统中可复现的宏观动力学规律,揭示其内在有效场机制。

Reproducible macroscopic dynamics in a closed-loop human-AI learning system

论文配图:Reproducible macroscopic dynamics in a closed-loop human-AI learning system
图 1 · 摘自论文原文
  • 通过用户行为数据定义语义秩序变量,构建可复现的动力学框架。
  • 模型间共享主阶漂移相关性达0.866,且存在非监督线性可访问状态空间。
  • 无需跨模型拟合即可解析群体演化路径,适合教育科技与人机协同研究者。

闭环人机系统生成高维行为轨迹,其集体动力学特征尚不清晰。基于297,915名学习者的自适应辅导历史,我们在建模前定义语义秩序变量,并在用户无交集的群体中进行验证。系统表现出可复现的类盆地流形及操作定义的状态异质性亚稳态动力学。构造匹配的零模型区分了归一化记忆弛豫与可复现的超额场。四元条件机制恢复了群体漂移(r = 0.946;学习者自助95%置信区间:0.935–0.955)。事件级自监督学习可重构状态与学习平面流;零模型参照校正保留方向性与部分振幅的超额场结构,无需完整校准。随机排序训练反转有序轨迹的学习平面流;支持对齐随机化选择性降低内向输运。两条轴均保持线性可访问性,无需状态监督。在未进行跨模型拟合的情况下,模型共享主导群体漂移(r = 0.866;学习者自助95%置信区间:0.857–0.875)和持久性排序;残差方向仍具模型特异性。这些结果揭示了一种外部锚定的主导阶有效场,连接经验动力学、可解释机制与神经计算。

原文摘要 · Abstract (English)

Closed-loop human-AI systems generate high-dimensional behavioural trajectories whose collective dynamics remain obscure. Using 297,915 learners' adaptive-tutoring histories, we define semantic order variables before model fitting and test them in user-disjoint cohorts. The state exhibits reproducible basin-like flow and operationally defined, state-heterogeneous metastable-like kinetics. A construction-matched null distinguishes normalised-memory relaxation from a reproducible excess field. A four-term conditional mechanism recovers population drift (r = 0.946; learner-bootstrap 95% CI, 0.935-0.955). Predictive event-level self-supervised learning recovers the state and learned-plane flow; null-referenced corrections retain directional, partial-amplitude excess-field structure without full calibration. Shuffled-order training reverses learned-plane flow on ordered trajectories; support-alignment randomisation selectively reduces inward transport. Both axes remain linearly accessible without state supervision. Without cross-model fitting, the models share leading population drift (r = 0.866; learner-bootstrap 95% CI, 0.857-0.875) and persistence ordering; residual directions remain model-specific. These results identify an externally anchored leading-order effective field linking empirical dynamics, an interpretable mechanism and neural computation.

人机系统动力学建模自适应学习可复现性

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