即使有完美噪声矩阵,去噪方法仍会失效,揭示深层机制缺陷。
Deconstructing the Failure of Ideal Noise Correction: A Three-Pillar Diagnosis
- 构建三层次统一分析框架:收敛状态、优化动态与信息极限。
- 理想条件下(完美噪声矩阵)方法仍性能崩溃,验证根本性缺陷。
- 为设计更可靠的弱标签学习方法提供理论指导,适合研究者参考。
基于噪声转移矩阵(T)的统计一致方法在理论上可保证收敛到最优干净数据分类器,是弱标签学习(LNL)的可靠解法。然而实践中常被样本选择等经验方法超越,通常归因于对T的估计困难。普遍假设是:若T准确,这些方法将恢复理论优势。本文通过理想化实验,为修正方法提供完美Oracle转移矩阵,发现即便如此,训练中仍出现性能崩溃。这有力证明失败并非源于T估计问题,而是深层机制缺陷。我们提出统一分析框架,从宏观收敛状态、微观优化动态和信息论极限三方面解释该现象,首次形式化阐明理想去噪为何失效,并为未来设计更稳健的弱标签学习方法提供明确指引。
原文摘要 · Abstract (English)
Statistically consistent methods based on the noise transition matrix ($T$) offer a theoretically grounded solution to Learning with Noisy Labels (LNL), with guarantees of convergence to the optimal clean-data classifier. In practice, however, these methods are often outperformed by empirical approaches such as sample selection, and this gap is usually attributed to the difficulty of accurately estimating $T$. The common assumption is that, given a perfect $T$, noise-correction methods would recover their theoretical advantage. In this work, we put this longstanding hypothesis to a decisive test. We conduct experiments under idealized conditions, providing correction methods with a perfect, oracle transition matrix. Even under these ideal conditions, we observe that these methods still suffer from performance collapse during training. This compellingly demonstrates that the failure is not fundamentally a $T$-estimation problem, but stems from a more deeply rooted flaw. To explain this behaviour, we provide a unified analysis that links three levels: macroscopic convergence states, microscopic optimisation dynamics, and information-theoretic limits on what can be learned from noisy labels. Together, these results give a formal account of why ideal noise correction fails and offer concrete guidance for designing more reliable methods for learning with noisy labels.
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