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Study Finds Grokking Depends on Aligning Low Loss Regions

New analysis shows grokking depends on whether training and validation low-loss regions line up, not just hyperparameters.

A new analysis says grokking, the weird delay between a model memorizing its training data and actually generalizing, isn't guaranteed by patience alone.

Researchers built a framework around mode connectivity, mapping the geometry of the low-loss regions a network settles into during training and validation. They reran the standard modular-arithmetic setup that first produced grokking in transformers, but split the data in a way that preserves the task's underlying symmetry. Validation accuracy never recovered. That stable anti-grokking case contradicts several popular explanations that tie grokking to particular hyperparameters or training recipes.

The real driver, the researchers argue, is whether the low-loss regions carved out by the training split and the validation split line up geometrically. When they're misaligned, you get the slow-burn generalization everyone calls grokking. When they're aligned, tuning learning rate or weight decay won't manufacture grokking: the model either trains cleanly or it doesn't.

That's a useful reality check for a field that has spent several years treating grokking as a tunable party trick instead of a geometric accident.

TR

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