arXiv AI By Yizhou Liu, Ziming Liu, Cengiz Pehlevan, Jeff Gore

Universal One-third Time Scaling in Learning Peaked Distributions

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arXiv:2602. 03685v2 Announce Type: replace-cross Abstract: Training large language models (LLMs) is computationally expensive, partly because the loss exhibits slow power-law convergence whose origin remains debatable.

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arXiv AI
Jul 7

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 any modern LLM trained on any natural language dataset.

By Francesco Cagnetta, Allan Ravent\'os, Surya Ganguli, Matthieu Wyart
arXiv AI
Sep 2

Efficiently Estimating Optimal Hyperparameter Scaling Laws through Power-Law Entropy Search

The paper introduces Power‑Law Entropy Search (PLES), a computational‑cost‑aware acquisition function that uses multi‑fidelity Bayesian optimization to efficiently estimate optimal hyperparameter scaling laws for large language model training. PLES focuses on reducing the overall uncertainty of scaling law estimates rather than optimizing a single objective, selecting configurations that maximize uncertainty reduction per unit computational cost. Experiments on synthetic benchmarks, surrogate models, and real LLM pre‑training runs show that PLES converges to accurate scaling laws using less than one‑tenth of the computational budget required by conventional grid search and other baselines.

By Zhiliang Chen, Sebastian Ament, David Eriksson, Maximilian Balandat, Eytan Bakshy, Jihao Andreas Lin