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Scaling Laws for Neural Language Models

Cross-entropy loss for language models scales as a power law with three main factors: non-embedding model size N, dataset size D, and training compute C. Larger models are more data-efficient, and under a fixed compute budget the optimal strategy is to train very large models on a modest amount of data and stop before convergence to maximize performance.

Title

Neural language model performance scales with model size, dataset size, and training compute, following predictable power-law relationships.

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Introduction and Key Findings

Language model loss follows smooth power-law scaling with model size, dataset size, and compute, with optimal compute allocation favoring larger models trained for fewer steps.

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Background, Notation, and Methods

Experiments utilize Transformers trained on WebText2, defining model size N, training compute C, and employing Adam/Adafactor optimizers with early stopping to evaluate generalization.

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Empirical Power Laws

Test loss exhibits simple power-law scaling with model size, dataset size, and compute when bottlenecks are absent, with Transformers outperforming LSTMs in long contexts.

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Joint Dependence on Model Size and Dataset Size

A joint power-law function describes early-stopped test loss as a function of model and dataset size, establishing a relation for data growth to avoid overfitting.

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Training Dynamics, Critical Batch Size, and Learning Curves

Training dynamics are characterized by a loss-dependent critical batch size, with larger models exhibiting greater sample efficiency by requiring fewer serial steps to reach a target loss.

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Optimal Allocation of a Fixed Compute Budget

Optimal allocation of fixed compute budget favors increasing model size N, with modest increases in batch size and steps, leading to compute-efficient training of very large models.

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Contradictions at Extreme Scale

Extrapolation of scaling laws to extreme scales suggests a potential breakdown or qualitative change in data requirements or model behavior as limits are approached.

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Discussion and Practical Takeaways

Empirical scaling laws provide guidance for practitioners to favor larger models and earlier stopping for improved performance per unit compute, with architectural choices having minor effects.

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Appendices

Appendices summarize key power-law fits, provide fitted exponents and scale constants, and list caveats regarding theoretical explanations and experimental limitations.

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