arXiv:2605.00510cs.LGcs.CV2026-05

用多尺度物理约束检测生成模型,发现其在复杂系统中会失效。

Scale-Aware Adversarial Analysis: A Diagnostic for Generative AI in Multiscale Complex Systems

论文配图:Scale-Aware Adversarial Analysis: A Diagnostic for Generative AI in Multiscale Complex Systems
图 1 · 摘自论文原文
  • 基于扩散分解构建多尺度物理约束数据空间
  • 模型对物理扰动反应非连续,出现局部冻结与不稳定性
  • 适合研究生成模型在真实物理系统中的可靠性

复杂物理系统(如超音速湍流、宇宙大尺度结构)遵循连续多尺度动力学。尽管现代机器学习能映射这些系统的高维可观测状态,但尚不清楚它们是否内化了物理规律,还是仅在离散统计相关性上插值。传统可解释AI方法依赖像素级扰动,产生非物理解释并使输入偏离有效经验分布。为此,我们提出基于约束扩散分解(CDD)的诊断框架,实现物理约束下的数据生成与模型评估。将该框架应用于去噪扩散概率模型(DDPM),在连续的CDD尺度空间中执行确定性干预。结果显示,在中等物理扰动下,无约束生成模型表现出局部结构冻结和非线性不稳定性,而非连续的偏微分方程式响应;网络无法保持跨尺度连续性,导致生成轨迹在进入未知物理态时发散。通过合成一系列物理解析的状态,该方法建立可控测试环境,揭示算法脆弱性,为未来模型尊重自然宇宙的多尺度因果关系提供严格物理约束。

原文摘要 · Abstract (English)

Complex physical systems, from supersonic turbulence to the macroscopic structure of the universe, are governed by continuous multiscale dynamics. While modern machine learning architectures excel at mapping the high-dimensional observables of these systems, it remains unclear whether they internalize the governing physical laws or merely interpolate discrete statistical correlations. Standard Explainable AI (XAI) architectures, particularly perturbation-based and gradient-saliency methods, rely on pixel-wise perturbations, which generate unphysical artifacts and push inputs off the valid empirical distribution. To resolve this, we introduce a diagnostic framework driven by Constrained Diffusion Decomposition (CDD), a diffusion-based multiscale data decomposition algorithm that enables physically constrained data generation and model evaluation via scale-aware modifications. Applying this framework to a Denoising Diffusion Probabilistic Model (DDPM), we execute deterministic interventions directly within the continuous, CDD-based scale space. We demonstrate that under moderate physical perturbations, the unconstrained generative model exhibits localized structural freezing and non-linear instability rather than continuous PDE-like responses. The network fails to maintain cross-scale continuity, causing the generative trajectory to diverge when pushed into unseen physical states. By synthesizing a continuum of physically coherent states, this scale-informed methodology establishes a controlled test ground to evaluate algorithmic vulnerabilities, providing the rigorous physical constraints necessary for future architectures to respect the multiscale causality of the natural universe.

生成模型多尺度物理约束诊断

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