Information-Theoretic Progress Measures reveal Grokking is an Emergent Phase Transition

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[Submitted on 16 Aug 2024]

View a PDF of the paper titled Information-Theoretic Progress Measures reveal Grokking is an Emergent Phase Transition, by Kenzo Clauw and 2 other authors

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Abstract:This paper studies emergent phenomena in neural networks by focusing on grokking where models suddenly generalize after delayed memorization. To understand this phase transition, we utilize higher-order mutual information to analyze the collective behavior (synergy) and shared properties (redundancy) between neurons during training. We identify distinct phases before grokking allowing us to anticipate when it occurs. We attribute grokking to an emergent phase transition caused by the synergistic interactions between neurons as a whole. We show that weight decay and weight initialization can enhance the emergent phase.

Submission history

From: Daniele Marinazzo [view email]
[v1]
Fri, 16 Aug 2024 16:33:46 UTC (1,837 KB)



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