A Curriculum Perspective to Robust Loss Functions

Zebin Ou, Yue Zhang

Abstract: Learning with noisy labels is a fundamental problem in machine learning. Much work has been done in designing loss functions that are theoretically robust against label noise. However, it remains unclear why robust loss functions can underfit and why loss functions deviating from theoretical robustness conditions can appear robust. To elucidate these questions, we show that most robust loss functions differ only in the sample-weighting curriculums they implicitly define. The curriculum perspective enables straightforward analysis of the training dynamics with each loss function, which has not been considered in existing theoretical approaches. We show that underfitting can be attributed to marginal sample weights during training, and noise robustness can be attributed to larger weights for clean samples than noisy samples. With a simple fix to the curriculums, robust loss functions that severely underfit can become competitive with the state-of-the-art.

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