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Grokking in Neural Networks: Rank Compression Follows, Not Causes, Deep Understanding

A new research paper explores the phenomenon of 'grokking' in neural networks, where a model achieves deep understanding and generalizes beyond its training data. The study, focusing on MLPs and transformers trained on modular arithmetic, found that rank compression in weight matrices follows the onset of grokking rather than causing it. Researchers observed a phenomenon termed 'subspace crystallization,' where the number of essential directions for accurate output shrinks significantly during the grokking transition. However, artificially imposing low rank did not accelerate grokking, suggesting it is a signature rather than a driver of the process. AI

IMPACT Provides insights into the internal mechanisms of neural network generalization, potentially informing future model architectures and training strategies.

RANK_REASON The cluster contains a research paper detailing findings on the phenomenon of grokking in neural networks. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.AI →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

Grokking in Neural Networks: Rank Compression Follows, Not Causes, Deep Understanding

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The cluster contains a research paper detailing findings on the phenomenon of grokking in neural networks. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Shlok Mehendale, Paras Chopra ·

    Subspace Crystallization in Grokking: Rank Compression Tracks the Phase Transition

    arXiv:2610.35112v1 Announce Type: cross Abstract: Grokking describes understanding something deeply and intuitively. In neural networks, it is the phenomenon where a network generalizes long after memorizing its training data. This delay has been linked to a fall in the effective…