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Researchers derive exact scaling laws for bottlenecked bigram language models

Researchers have developed a bigram model with power-law token statistics to analytically study neural scaling laws. This model, using fixed random embeddings as a proxy for representational capacity, allows for the derivation of scaling laws for prediction regret based on model width, vocabulary size, and the Zipf exponent. The theoretical findings align with recent accounts focusing on optimization dynamics and suggest that heavy-tailed language statistics may be a fundamental driver of both optimization- and capacity-driven scaling. Experimental results on natural language datasets like WikiText2 and OpenWebText closely match the predicted scaling curves. AI

IMPACT Provides theoretical insights into the scaling behavior of language models, potentially guiding future model development.

RANK_REASON Academic paper detailing theoretical and experimental findings on language model scaling laws. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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Researchers derive exact scaling laws for bottlenecked bigram language models

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Academic paper detailing theoretical and experimental findings on language model scaling laws. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Julian Enoch, Elvis Dohmatob ·

    Exact Scaling Laws for a Random-Features Bigram Model

    arXiv:2610.19281v1 Announce Type: new Abstract: Understanding neural scaling laws is increasingly important for theory and practice, yet first-principles explanations remain limited even in simple settings. In this work, we study capacity-limited scaling in a bottlenecked bigram …