arXiv:2602.00191cs.LGcs.CV2026-02被引 1

利用对称性不一致性检测扩散模型中的异常图像,无需训练且计算轻量。

GEPC: Group-Equivariant Posterior Consistency for Out-of-Distribution Detection in Diffusion Models

  • 通过群等变性残差探测得分函数在对称变换下的不一致性。
  • 在多个基准数据集上达到与先进方法相当或更优的检测性能。
  • 适用于遥感图像等高分辨率场景,结果可解释性强。

扩散模型学习一个随时间变化的得分场 $\mathbf{s}_θ(\mathbf{x}_t,t)$,该场通常继承来自分布内(ID)数据和卷积主干的近似等变性(如翻转、旋转、循环移位)。现有基于扩散的异常检测方法主要依赖得分幅度或局部几何特征(能量、曲率、协方差谱),却忽略等变性信息。本文提出无需训练的群等变后验一致性(GEPC)探测器,通过测量得分在有限群 $\mathcal{G}$ 下的变换一致性,检测即使得分幅度未变时的等变性破坏。我们在总体层面提出理想GEPC残差,通过对群 $\mathcal{G}$ 上的等变性残差泛函取平均,并在合理假设下推导出分布内上界与分布外下界。GEPC仅需得分评估,生成可解释的等变性破坏热图。在多个分布外图像基准数据集上,其表现媲美或超越最新基线;在高分辨率合成孔径雷达图像中,能有效分离目标与背景,生成视觉可解释的结果。代码已开源。

原文摘要 · Abstract (English)

Diffusion models learn a time-indexed score field $\mathbf{s}_θ(\mathbf{x}_t,t)$ that often inherits approximate equivariances (flips, rotations, circular shifts) from in-distribution (ID) data and convolutional backbones. Most diffusion-based out-of-distribution (OOD) detectors exploit score magnitude or local geometry (energies, curvature, covariance spectra) and largely ignore equivariances. We introduce Group-Equivariant Posterior Consistency (GEPC), a training-free probe that measures how consistently the learned score transforms under a finite group $\mathcal{G}$, detecting equivariance breaking even when score magnitude remains unchanged. At the population level, we propose the ideal GEPC residual, which averages an equivariance-residual functional over $\mathcal{G}$, and we derive ID upper bounds and OOD lower bounds under mild assumptions. GEPC requires only score evaluations and produces interpretable equivariance-breaking maps. On OOD image benchmark datasets, we show that GEPC achieves competitive or improved AUROC compared to recent diffusion-based baselines while remaining computationally lightweight. On high-resolution synthetic aperture radar imagery where OOD corresponds to targets or anomalies in clutter, GEPC yields strong target-background separation and visually interpretable equivariance-breaking maps. Code is available at https://github.com/RouzAY/gepc-diffusion/.

扩散模型异常检测等变性遥感图像

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