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Scaling Laws Under the Microscope: Predicting Transformer Performance from Small Scale Experiments

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arxiv 2202.06387 v2 pith:J45IOFIN submitted 2022-02-13 cs.CL cs.LGcs.NAmath.NA

Scaling Laws Under the Microscope: Predicting Transformer Performance from Small Scale Experiments

classification cs.CL cs.LGcs.NAmath.NA
keywords lawsscalingperformancetasksmodelmodelsacrosshowever
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Neural scaling laws define a predictable relationship between a model's parameter count and its performance after training in the form of a power law. However, most research to date has not explicitly investigated whether scaling laws can be used to accelerate model development. In this work, we perform such an empirical investigation across a wide range of language understanding tasks, starting from models with as few as 10K parameters, and evaluate downstream performance across 9 language understanding tasks. We find that scaling laws emerge at finetuning time in some NLP tasks, and that they can also be exploited for debugging convergence when training large models. Moreover, for tasks where scaling laws exist, they can be used to predict the performance of larger models, which enables effective model selection. However, revealing scaling laws requires careful hyperparameter tuning and multiple runs for the purpose of uncertainty estimation, which incurs additional overhead, partially offsetting the computational benefits.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Unifying Learning Dynamics and Generalization in Transformers Scaling Law

    cs.LG 2025-12 reject novelty 4.0

    Claims a two-stage transformer scaling law (exponential then C^{-1/6}) with matching bounds, but the lower bounds are missing, the exponent is inconsistent (-1/7 vs -1/6), and the law is an artifact of hand-set M = Θ(...