Lilian Weng publishes 25-minute deep dive on the math of scaling laws

irinarish · x · 2026-10-12

Lilian Weng's new article "Scaling Laws, Carefully" covers the mathematical foundations of scaling in deep learning: power-law loss curves, Kaplan vs Chinchilla scaling laws, three compute-optimal fitting methods, reconciling their conflicting conclusions, data-limited regimes, and the pitfalls of fitting scaling laws in practice — with equations, toy simulations, and full references. A key practical workflow: fit on small runs, extrapolate token/compute needs for larger models.

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