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Paper · arXiv

Distributional Energy-Based Models for Uncertainty-Aware Structured LLM Reasoning

When Large Language Models produce structured outputs such as travel plans, code solutions, or multi-step proofs, individual reasoning steps may appear correct while the output as a whole violates budgets, fails test cases, or contradicts earlier deductions. We propose a decomposed energy function that combines a learned quality scorer with deterministic analytical constraint penalties for verifying structured LLM outputs. The quality scorer is a heterogeneous ensemble of low-rank adapters on a single frozen encoder (3% trainable parameters); the ensemble mean ranks candidates while the standard deviation quantifies epistemic uncertainty, driving a two-pass inference loop that triggers ta...

AuthorsShireen Kudukkil Manchingal, Abhey Kalia, Fernanda Gonçalves et al.
Primary categorycs.LG
Published15 May 2026
Last updated at source15 May 2026
cs.LGcs.AI
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