Generalizability of Scaling Laws Across Actuarial Tasks

Determine whether scaling behavior analogous to that observed for large-language-models generalizes to noisy, heterogeneous, regulated actuarial tasks beyond the single motor-insurance frequency dataset, including different lines of business, targets, feature sets, jurisdictions, and validation regimes.

Background

The paper establishes empirical power-law relationships for Poisson claim-frequency prediction using one large anonymized motor-insurance portfolio and an IID train/test split. The authors explicitly caution that the fitted exponents and model rankings are conditional on this experimental regime. They identify temporal nonstationarity, alternative lines of business, different feature-engineering choices, and other actuarial targets as settings in which the observed scaling behavior may not persist.

The unresolved issue is whether the apparent scaling regularities are portfolio-specific empirical phenomena or robust properties of actuarial tabular learning more broadly. Resolving it would require experiments across additional datasets, targets, validation designs, and model families.

References

However, the empirical regularities above were established in high-signal, massive-data regimes with homogeneous tokenized inputs; the extent to which similar scaling behavior holds for noisy, heterogeneous, regulated actuarial tasks remains unclear, which we discuss next.

Scaling Laws, Tabular Data and Actuarial Ratemaking Models  (2609.03106 - Richman, 2 Sep 2026) in Section 2.4, Section 3.4, and Section 10.2 (Limitations)