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New papers analyze neural network grokking via spectral geometry

Two new arXiv papers explore the phenomenon of 'grokking' in neural networks, where models generalize only after memorizing training data. One paper proposes 'Low-Rank Decay' (LRD) as a spectral regularizer to improve grokking by compressing singular values, showing it can accelerate rank collapse and expand the data-fraction boundary for generalization. The other paper frames grokking as a constrained optimization problem, demonstrating that gradient descent minimizes weight norm on the zero-loss manifold and deriving a closed-form expression for post-memorization dynamics. AI

IMPACT These papers offer theoretical insights into delayed generalization in neural networks, potentially guiding future model training strategies.

RANK_REASON Two academic papers published on arXiv discussing a specific phenomenon in neural networks.

Read on arXiv cs.AI →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

New papers analyze neural network grokking via spectral geometry

COVERAGE [2]

  1. arXiv cs.AI TIER_1 English(EN) · Mingyu Li ·

    Low-Rank Decay for Grokking in Scale-Invariant Transformers: A Spectral-Geometric View

    arXiv:2606.04405v1 Announce Type: cross Abstract: Modern Transformer architectures frequently employ normalization mechanisms such as RMSNorm and Query-Key Normalization, making parts of the model approximately scale-invariant with respect to weight magnitudes. In this regime, st…

  2. arXiv cs.AI TIER_1 English(EN) · Tiberiu Musat ·

    The Geometry of Grokking: Norm Minimization on the Zero-Loss Manifold

    arXiv:2511.01938v3 Announce Type: replace-cross Abstract: Grokking is a puzzling phenomenon in neural networks where full generalization occurs only after a substantial delay following the complete memorization of the training data. Previous research has linked this delayed gener…