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RESEARCH · RESEARCH · #2103

L2G-SR: learned structural verifier guides LLM-based symbolic regression

L2G-SR is a framework that augments LLM-based symbolic regression with a learned structural verifier trained using tree edit distance (TED) to score formula structural similarity; at search time the verifier complements numerical error for candidate selection and a generator refines expressions via analyst-guided revisions. On LLM-SRBench, L2G-SR achieves state-of-the-art numerical fit, equation-level accuracy, and TED across evaluated LLM backbones and domains.

KEY POINTS

  1. L2G-SR is a framework that augments LLM-based symbolic regression with a learned structural verifier trained using tree edit distance (TED) to score formula structural similarity; at search time the verifier complements numerical error for candidate selection and a generator refines expressions via analyst-guided revisions.
  2. On LLM-SRBench, L2G-SR achieves state-of-the-art numerical fit, equation-level accuracy, and TED across evaluated LLM backbones and domains.
  3. By learning to evaluate structural similarity (via TED) and combining that with numerical error, L2G-SR improves equation recovery and highlights the value of structural guidance for LLM-driven symbolic regression.

WHY IT MATTERS

By learning to evaluate structural similarity (via TED) and combining that with numerical error, L2G-SR improves equation recovery and highlights the value of structural guidance for LLM-driven symbolic regression.

SOURCES & TIMELINE

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