ResearchResearch paperLarge Language Models · Interpretability · Training & Scaling1 source · Oct 13, 2026

Improving Neural Symbolic Regression with a Diverse Prior and Post-training Alignment

Symbolic regression is the problem of finding an expression that fits a dataset.

Key points

  • Neural symbolic regression can amortize that search by training a model once on synthetic data and then predicting expressions for a new dataset.
  • We argue that the deficit lies in the training rather than in the paradigm, and present RASR (Reinforced Amortized Symbolic Regression), a method with two key changes to the training recipe.
  • First, we design a synthetic prior that narrows the gap with real-world data: inputs come from the prior of a tabular foundation model; constants are sampled bottom-up, conditioned on the data; targets carry heteroscedastic and structured noise; and everything is standardized.
  • Supervised pre-training maximizes the token-level likelihood of a reference expression.

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