arXiv:2606.04210eess.AScs.LG2026-06

音频分类中,不同表示方式会影响随机平滑的鲁棒性认证效果。

Representation Matters in Randomized Smoothing for Audio Classification

  • 区分波形、频谱特征等表示空间进行平滑认证
  • 相同噪声水平下,不同数据集信噪比差异达83.98~90.97dB
  • 建议明确报告认证对象与扰动位置,避免结果不可比

随机平滑(RS)在添加高斯噪声的向量空间中认证鲁棒性。但在音频分类中,该空间常不唯一,因标准流程包含归一化、范围控制及波形转为对数梅尔等频谱特征。我们指出,若未明确定义认证目标和预处理策略,直接使用RS将导致定义模糊。在关键词识别与环境音分类两个基准上,我们研究了波形空间、特征空间及后处理平滑。诊断显示:在相同平滑尺度σ=0.0025下,两数据集原始半径中位数均为0.007996,但不同波形能量对应信噪比等效尺度分别为83.98和90.97 dB;对数梅尔平滑在环境音任务中提升正半径认证准确率至68.42%(高于65.53%),但认证的是特征而非波形;截断或峰值归一化使有效扰动范数变化约230–351倍。因此建议音频领域随机平滑研究应选择并报告特定任务的认证对象、扰动模型、增益策略、原始半径及后噪声几何变化。

原文摘要 · Abstract (English)

Randomized smoothing (RS) certifies robustness in the vector space where Gaussian noise is added. In audio classification, this space is often not uniquely defined as standard pipelines normalize, range-control, and transform waveforms into log-mel or other spectral features. We show that direct RS is therefore under-specified unless the certified object and preprocessing policy are explicit. On two audio benchmarks, keyword spotting and environmental-sound classification, we study waveform, feature-space, and post-processed smoothing. Our diagnostics show why representation-aware reporting is necessary: at the same smoothing level $σ=0.0025$, the two datasets share the same median raw radius $.007996$, but different waveform energies yield different SNR-equivalent scales ($83.98$ vs. $90.97$ dB); log-mel smoothing gives higher positive-radius certified accuracy on environmental sounds ($68.42\%$ vs. $65.53\%$), certifying more examples with nonzero radius but over features rather than waveforms; and clipping or peak normalization changes the effective perturbation norm by roughly $230$--$351\times$. We therefore recommend that audio RS studies choose and report the task-specific certified object and perturbation model, including the perturbation location, gain policy, raw radius, and any post-noise geometry changes.

音频分类随机平滑鲁棒性认证表示学习

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