10/ Empirically, we observe large gains in estimation performance (lower MSE + tighter confidence intervals with valid coverage) across diverse computational social science tasks, with benefits most pronounced in low label regimes.

2/ In limited labeled regimes, LLMs provide practitioners a cheap alternative to attain imperfect labels and even generate entirely new synthetic samples

💡Can we trust synthetic data for statistical inference?

We show that synthetic data (e.g., LLM simulations) can significantly improve the performance of inference tasks. The key intuition lies in the interactions between the moment residuals of synthetic data and those of real data