首个系统评估概率鲁棒性的基准,揭示防御方法优劣。
PRBench: A Standardized Probabilistic Robustness Benchmark
- 构建统一评估框架,对比多种训练方法在概率扰动下的表现。
- 发现对抗训练在多数场景下同时提升概率与对抗鲁棒性。
- 提供229个模型的排行榜,适合研究鲁棒性训练的学者使用。
深度学习模型对微小扰动极为敏感。现有研究多聚焦于对抗鲁棒性(AR),通过检测确定性对抗样本评估最坏情况下的性能。相比之下,概率鲁棒性(PR)从统计角度衡量模型在随机扰动下预测正确的概率。尽管PR被视为对AR的重要补充,但针对性的训练方法仍较少。现有方法存在三方面局限:评估协议不可比、未充分对比强对抗训练基线、缺乏统一框架评估泛化能力。为此,我们提出PRBench,首个专门评估不同鲁棒性训练方法提升概率鲁棒性效果的基准。该基准在7个数据集、10种模型架构上,全面比较主流对抗训练(AT)和概率鲁棒性(PR)目标训练方法,涵盖干净准确率、PR、AR性能、训练效率及泛化误差(GE)。我们还提供了对不同训练方法下PR泛化误差的理论分析。主要发现包括:对抗训练在多种超参数设置下更通用,能同时提升AR与PR;而概率鲁棒性训练方法始终具有更低的泛化误差和更高的干净准确率。一个包含229个训练模型的排行榜已公开发布于https://wellzline.github.io/PRBenchLeaderboard/。
原文摘要 · Abstract (English)
Deep learning models are notoriously vulnerable to imperceptible perturbations. Most existing research centers on adversarial robustness (AR), which evaluates models under worst-case scenarios by examining the existence of deterministic adversarial examples (AEs). In contrast, probabilistic robustness (PR) adopts a statistical perspective, measuring the probability that predictions remain correct under stochastic perturbations. While PR is widely regarded as a practical complement to AR, dedicated training methods for improving PR are still relatively underexplored, albeit with emerging progress. Among the few PR-targeted training methods, we identify three limitations: i non-comparable evaluation protocols; ii limited comparisons to strong AT baselines despite anecdotal PR gains from AT; and iii no unified framework to compare the generalization of these methods. Thus, we introduce PRBench, the first benchmark dedicated to evaluating improvements in PR achieved by different robustness training methods. PRBench empirically compares most common AT and PR-targeted training methods using a comprehensive set of metrics, including clean accuracy, PR and AR performance, training efficiency, and generalization error (GE). We also provide theoretical analysis on the GE of PR performance across different training methods. Main findings revealed by PRBench include: AT methods are more versatile than PR-targeted training methods in terms of improving both AR and PR performance across diverse hyperparameter settings, while PR-targeted training methods consistently yield lower GE and higher clean accuracy. A leaderboard comprising 229 trained models across 7 datasets and 10 model architectures is publicly available at https://wellzline.github.io/PRBenchLeaderboard/.
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