Short Answer

Theoretical Loss Limit with Infinite Data

Consider the empirical formula for the Chinchilla scaling law: L(N,D)=406.4N0.34+410.7D0.28+1.69\mathcal{L}(N,D) = \frac{406.4}{N^{0.34}} + \frac{410.7}{D^{0.28}} + 1.69 If a research team had access to a dataset of infinite size (i.e., as D approaches infinity), what would be the theoretical minimum loss for a model of a fixed size N? Explain how you arrived at your answer by analyzing the components of the formula.

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Updated 2025-10-03

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