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Cross-Fitting for Neural Posterior Estimation

Jeffrey Regier · 2026 · arXiv

DOI: 10.48550/arXiv.2610.26733 · open-access PDF

Spanish

Neural Posterior Estimation (NPE) se ajusta a un estimador de densidad condicional amortizado a un conjunto de entrenamiento simulado de realizaciones de datos completos. El objetivo de entrenamiento de NPE, log-probelihood, favorece aproximaciones posteriores que asignan densidad arbitrariamente alta a los puntos de entrenamiento, y las familias típicas de estimadores de densidad condicional amortizados (por ejemplo, flujos normalizantes, codificadores de Gauss) son lo suficientemente flexibles como para obligar. La política resultante de sobreconfianza extrema se traduce mal en datos detenidos.

Machine translation (Meta M2M100); the English original follows.

Abstract

Neural Posterior Estimation (NPE) fits an amortized conditional density estimator to a simulated training set of complete-data realizations. NPE's training objective, log-likelihood, favors posterior approximations that assign arbitrarily high density to the training points, and typical families of amortized conditional density estimators (e.g., normalizing flows, Gaussian encoders) are flexible enough to oblige. The resulting policy of extreme overconfidence translates poorly to held-out data. Early stopping and other regularizers can prevent this degeneracy, but they are limited to selecting

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