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Mixed Precision Scaling Laws for Quantized Pretraining

Since scaling laws were introduced for modern LLMs (Kaplan et al., 2020), several works have extended them to account for quantization, tracking the emerging low-precision data types supported on AI accelerators. We develop a more accurate scaling law for quantized pretraining with mixed precision across the forward and backward passes, grounded in optimization theory and validated empirically. Our formulation separates the effects of quantization on model capacity and on optimization efficiency, and explicitly models the persistent optimization error from forward and backward quantization identified through convergence analysis. To select the regimes for fitting and evaluating our law, w...

AuthorsJinuk Kim, Rajarshi Saha, Muhammed Fatih Balin et al.
Primary categorycs.LG
Published13 October 2026
Last updated at source13 October 2026
cs.LG
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