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A Theoretical Analysis of the Learning Dynamics under Class Imbalance

ICML 2023 · Optimization › Implicit bias and generalization · approach: Edge-of-stability dynamics · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use per-class-normalized GD instead of GDGD · Bi60, Mod1minority-class recallHelped
Use per-class-normalized GD instead of GDGD · Imbalanced classification; multiple architectures and datasetstraining and test performanceHelped
Use per-class-normalized SGD without balancing directional noise (ablation)SGD · Imbalanced classificationminority-class recallNo clear effect
Rescale the minority-class signal to compensate for directional noise (ablation)PCNSGD · Bi7a, Mod1minority-class recallHelped
Use equal numbers of examples from each class in every minibatchSGD · Imbalanced classificationminority-class recallHelped
Combine per-class normalization with oversampling (ablation)SGD · Bi7a, Mod1test recallMixed
Use oversampling with PCNSGD instead of minority-signal rescaling (ablation)PCNSGD+R · Bi7a, Mod1recallHelped
Apply GD to an imbalanced dataset rather than a balanced oneGD · Imbalanced classificationminority-class lossHurt
Use PCN with full-batch GD to equalize per-class gradient magnitudes (ablation)GD · Imbalanced classificationper-class loss monotonicityHelped
Use PCN with SGD without increasing batch size or balancing noise (ablation)SGD · Imbalanced classificationper-class loss monotonicityHurt

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