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Neural networks can learn with flat training loss, study finds

Researchers have demonstrated that neural networks can continue to learn and improve their performance even when their training loss remains relatively flat. Using ReLU networks and specific update rules on the modular addition task, they observed that hidden features evolve while held-out accuracy increases significantly, despite a stable training cross-entropy. This phenomenon, termed 'grokking,' suggests that minimizing cross-entropy is not always a prerequisite for correct classification, as prediction confidence also influences this metric. The study further shows this coexistence of flat loss and learning in deeper networks and transformer models, indicating that a plateau in training loss does not necessarily signify an end to learning. AI

IMPACT Challenges the assumption that minimizing training loss is the sole driver of model improvement, suggesting new avenues for training more robust models.

RANK_REASON The cluster contains an academic paper detailing a novel finding in machine learning. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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Neural networks can learn with flat training loss, study finds

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The cluster contains an academic paper detailing a novel finding in machine learning. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Akash Kumar, Karthik Sankaranarayanan ·

    Flat Loss, Evolving Features: Grokking in Modular Addition

    arXiv:2610.22593v1 Announce Type: new Abstract: Can a network keep learning while its training cross-entropy stays nearly flat at a positive level? We show that it can. On modular addition, a standard testbed for grokking, ReLU networks trained with supported-Polar hidden updates…