arXiv cs.LG
7/21/2026

Orthogonal Gradient Constraints Shape Noisy-Label Memorization Dynamics
Short summary
OrthoGrad is a geometric optimizer intervention that removes the gradient component parallel to current weights, tested on noisy-label image classification. It improves test accuracy for CNNs on small-data MNIST regimes and reduces corrupted-label fitting, but CIFAR-10 ResNet-18 experiments show it alters memorization trajectories without fully preventing them. The method is regime-dependent, working best when gradients have a nontrivial radial component.
- •OrthoGrad projects out the gradient component parallel to weights, a geometric regularization approach
- •Improves CNN test accuracy on small-data MNIST but is regime-dependent, not universally regularizing
- •CIFAR-10 experiments show altered but not prevented noisy-label memorization
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