提出深度联合学习特征与边界的新方法,提升异常检测精度。
Deep Convolutional Large-Margin $\ell_p$-SVDD for Visual Anomaly Detection

- 联合学习卷积特征与显式核边界,增强表示能力。
- 在多个基准上优于基线和主流方法,尤其在数据不平衡时表现稳定。
- 适用于缺陷检测、工业质检等真实场景中的异常识别任务。
视觉异常检测需要自适应的表征和可靠的决策边界,尤其当异常训练样本稀缺且类别分布严重失衡时。传统基于核的方法虽能生成几何合理的决策区域,但通常依赖固定特征;深度检测器可学习任务相关表征,却难以提供显式的边际感知核边界。本文提出DLM-SVDD,一种深度大边缘新奇检测框架,联合学习卷积特征与显式核边界。基于大边缘ℓ_p-支持向量数据描述(ℓ_p-SVDD)方法,该模型实现显式边际最大化与非线性松弛惩罚,同时适配目标任务表征。为训练模型,提出一种交替优化方案:基于Frank-Wolfe的对偶边界更新,以及基于恢复边界诱导的平滑边际违反损失的CNN更新。为提升可扩展性,分析不同核近似策略的效率-精度权衡,给出大规模异常检测的实际建议。在多个标准基准上的实验表明,该方法持续优于基线,整体性能强于现有先进方法,且在严重类别失衡下仍保持有效性。
原文摘要 · Abstract (English)
Visual anomaly detection requires adaptive representations and reliable decision boundaries, particularly when anomalous training samples are scarce and class distributions are highly imbalanced. Classical kernel-based methods yield principled geometric decision regions but typically operate on fixed features, while deep detectors learn task-specific representations but often fail to provide an explicit margin-aware kernel boundary. In this study, we propose DLM-SVDD, a deep large-margin novelty-detection framework that jointly learns convolutional features and an explicit kernel-based decision boundary. By drawing on the large-margin $\ell_p$-Support Vector Data Description ($\ell_p$-SVDD) approach, the proposed method performs explicit margin maximization and nonlinear slack penalization while adapting the representation to the target task. To train the proposed model, we present an optimization scheme that alternates between a Frank--Wolfe--based update of the convex dual boundary and a CNN update step operating on a smooth margin-violation loss induced by the recovered boundary. To improve scalability, we analyze the efficiency--accuracy trade-offs for different kernel approximation strategies, deriving practical propositions for large-scale anomaly detection. Extensive experiments on multiple standard benchmarks show consistent performance improvements over the baseline and strong overall performance compared with state-of-the-art methods while illustrating that the proposed joint representation--boundary learning scheme remains effective under severe imbalanced class distributions.
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