用热力学原理量化AI系统异常,实现实时安全检测。
The Kerimov-Alekberli Model: An Information-Geometric Framework for Real-Time System Stability

- 将非平衡热力学与随机控制结合,以黎曼流形偏差定义系统异常。
- 在NSL-KDD数据集和无人机轨迹上实现高精度、低误报率实时检测。
- 首次将伦理违规与物理做功关联,适合研究AI安全与系统稳定性的学者。
本文提出Kerimov-Alekberli模型,一个信息几何框架,通过建立非平衡热力学与随机控制之间的形式同构,将系统异常定义为对黎曼流形的偏离。该模型以KL散度为主要度量,动态阈值由费雪信息度量决定。进一步基于兰道尔原理证明,对抗扰动会通过增加系统信息熵而执行可测量的物理功。在NSL-KDD数据集及无人飞行器轨迹仿真中的验证表明,该模型通过首达时间(FPT)触发机制实现了有效的实时检测,基准测试中表现出高准确率和低误报率。本研究为人工智能安全提供了严格的物理基础,推动伦理框架从经验规则转向基于热力学的稳定性范式,将伦理违规转化为可量化的物理功与熵信息。
原文摘要 · Abstract (English)
This study introduces the Kerimov-Alekberli model, a novel information-geometric framework that redefines AI safety by formally linking non-equilibrium thermodynamics to stochastic control for the ethical alignment of autonomous systems. By establishing a formal isomorphism between non-equilibrium thermodynamics and stochastic control, we define systemic anomalies as deviations from a Riemannian manifold. The model utilizes the Kullback-Leibler divergence as the primary metric, governed by a dynamic threshold derived from the Fisher Information Metric. We further ground this framework in the Landauer Principle, proving that adversarial perturbations perform measurable physical work by increasing the system's informational entropy. Validation on the NSL-KDD dataset and unmanned aerial vehicle trajectory simulations demonstrated that our model achieves effective real-time detection via the FPT trigger, with strong performance metrics (e.g., high accuracy and low FPR) on benchmark datasets. This study provides a rigorous physical foundation for AI safety, transitioning from heuristic, rule-based ethical frameworks to a thermodynamics-based stability paradigm by grounding ethical violations in quantifiable physical work and entropic information.
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