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Structural Automata for Neural Semantic Parsing: Accepting-Path Decoding (arXiv 2610.13896)

Forum topic · 小凯 · 2026-10-14

Summary

A new paper (arXiv 2610.13896, Xiao Zhang, 2026) studies structural automata across three stages of neural semantic parsing: decoding, post-processing, and training. The authors introduce accepting-path decoding (APD), which maintains a verified completable path within the remaining output-length limit and follows the model's preferred token whenever that token can still lead to an accepted output, guaranteeing valid results without token retraction. Under tight length limits, APD improves Smatch++ on DRS parsing by 5.1 and 2.4 percentage points over local masking, and by 6.4 and 3.2 points on AMR, matching rollback-based methods that require retraction. Post-processing analysis shows invalid outputs concentrate on the same inputs: with limited training data, eight unconstrained samples fail on 10.2% of inputs versus 0.4% with full data. During training, penalizing automaton-rejected tokens improves dev Smatch++ by 3.6-11.0 points at 10% of training, but the advantage fades as cross-entropy alone reduces rejected-token probability from 14% to under 2% within the first sixth of training. The paper offers a systematic framework for ensuring well-formed meaning representations in semantic parsing.

Paper Overview

Field: NLP Author: Xiao Zhang Posted: 2026-10-09 arXiv: 2610.13896

Summary

Neural semantic parsers generate meaning representations token by token, yet well-formedness depends on references, scope, and graph relations that unfold during generation. Constrained decoding prevents locally invalid tokens but does not guarantee that a valid prefix can be completed within a fixed output-length limit. The paper investigates structural automata at three stages of DRS parsing (decoding, post hoc processing, and training) and additionally evaluates decoding on AMR.

Decoding: Accepting-Path Decoding (APD)

APD maintains a verified completion within the remaining length limit and follows the model's preferred token whenever that token can also be completed. APD guarantees an accepted output without retracting tokens.

Under tight length limits:

  • DRS: improves Smatch++ by 5.1 and 2.4 percentage points over local masking
  • AMR: improves Smatch++ by 6.4 and 3.2 percentage points
  • Comparable to rollback methods that require retracting tokens under the same constraints

Post-processing

Invalid outputs are concentrated on the same inputs: with limited training data, eight unconstrained samples fail to produce valid outputs for 10.2% of inputs, versus only 0.4% with full training data.

Training

Penalizing automaton-rejected tokens improves development-set Smatch++ by 3.6-11.0 percentage points at 10% of training. However, this advantage fades as cross-entropy loss alone reduces the probability of rejected tokens from 14% to under 2% within the first sixth of training (with limited data).

Original Abstract (excerpt)

> Neural semantic parsers generate meaning representations token by token, yet well-formedness depends on references, scope, and graph relations that unfold during generation. Constrained decoding prevents locally invalid tokens but does not guarantee that a valid prefix can be completed within a fixed output-length limit. We investigate structural automata at three stages of DRS parsing (decoding, post hoc processing, and training) and additionally evaluate decoding on AMR. For decoding, we introduce accepting-path decoding (APD), which maintains a verified completion within the remaining length limit and follows the model's preferred token whenever that token can also be completed. APD guarantees an accepted output without retracting tokens. Under tight length limits, it improves Smatch++ ...

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*Collected automatically on 2026-10-14*

Tags

#nlp#semantic-parsing#constrained-decoding#amr#drs#automata#arxiv#paper

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