Skaling: Chinchilla's Exponents Meet Kaplan's Coupling
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Computer Science > Computation and Language
Title:Skaling: Chinchilla's Exponents Meet Kaplan's Coupling
Abstract:Neural scaling laws are foundational for language model development, yet standard formulations systematically under- and overestimate loss at data-scarce and overtraining extremes. This failure originates in the underlying assumption that model size and training data impact the loss independently. To address this, we introduce the Skaling law, a generalized functional form that couples model capacity and data through a single interaction exponent. This simple extension reduces the Mean Absolute Percentage Error (MAPE) by 1.5-3x across both interpolation and extrapolation regimes. When paired with a sparse grid strategy restricted to low-compute regimes, the Skaling law achieves accurate full-grid extrapolation using approximately 10x less compute than uniform sweeps. By enabling reliable performance prediction from small-scale experiments, the Skaling law provides a more robust and resource-efficient framework for allocating compute budgets in next-generation model training.
| Subjects: | Computation and Language (cs.CL) |
| Cite as: | arXiv:2608.07222 [cs.CL] |
| (or arXiv:2608.07222v1 [cs.CL] for this version) | |
| https://doi.org/10.48550/arXiv.2608.07222
arXiv-issued DOI via DataCite (pending registration)
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