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Paper · arXiv

Recovery-Directed Symbolic Distillation of Neural Likelihoods

Amortized neural likelihoods enable computationally expensive inference for models with analytically intractable or unspecified likelihoods, but their black-box nature limits interpretability. We introduce a symbolic distillation pipeline that converts trained neural likelihoods into explicit, interpretable expressions optimized for efficient parameter estimation. Our approach uses a recovery-directed objective to guide symbolic regression toward expressions that preserve parameter-recovery accuracy rather than merely approximating the likelihood function. Candidate expressions are evaluated on held-out datasets and selected using a criterion that jointly accounts for expression complexit...

AuthorsKianté Fernandez, Xinwei Li
Primary categorycs.LG
Published26 September 2026
Last updated at source26 September 2026
cs.LGq-bio.NCstat.COstat.ML
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