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New theory predicts neural scaling laws from language statistics

Researchers have developed a new theory that can quantitatively predict the exponents of neural scaling laws for large language models trained on natural language datasets, particularly in data-limited scenarios. This theory identifies two key statistical properties of language: the decay of pairwise token correlations and the decay of next-token conditional entropy with context length. The derived formula, which has no free parameters, accurately predicts scaling exponents based on these language statistics and has been validated against models like GPT-2 and LLaMA trained on TinyStories and WikiText benchmarks. AI

IMPACT Provides a theoretical framework to guide future LLM development and resource allocation.

RANK_REASON The cluster contains an academic paper detailing a new theoretical model for neural scaling laws. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv stat.ML →

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New theory predicts neural scaling laws from language statistics

COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Francesco Cagnetta, Allan Ravent\'os, Surya Ganguli, Matthieu Wyart ·

    Deriving Neural Scaling Laws from the statistics of natural language

    arXiv:2602.07488v3 Announce Type: replace-cross Abstract: Despite the fact that experimental neural scaling laws have substantially guided empirical progress in large-scale machine learning, no existing theory can quantitatively predict the exponents of these important laws for a…