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Transformer scaling law theory unifies learning dynamics and generalization

Researchers have developed a theoretical framework to unify the understanding of learning dynamics and generalization in transformer models. This work formalizes transformer training as an ordinary differential equation system, approximating it to kernel behaviors. The analysis reveals a two-stage scaling law for generalization error, with an initial exponential decay followed by a power-law decay after a resource threshold is met, proving this two-stage law to be tight. AI

IMPACT Provides a theoretical foundation for understanding and predicting transformer performance as resources scale.

RANK_REASON Academic paper detailing theoretical advancements in understanding transformer scaling laws. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.AI →

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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Chiwun Yang ·

    Unifying Learning Dynamics and Generalization in Transformers Scaling Law

    arXiv:2512.22088v3 Announce Type: replace-cross Abstract: The scaling law, a cornerstone of Large Language Model (LLM) development, predicts improvements in model performance with increasing computational resources. Yet, while empirically validated, its theoretical underpinnings …