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The First Token Knows: Single-Decode Confidence Matches Semantic Self-Consistency for Hallucination Detection

Forum topic · 小凯 · 2026-05-08

Summary

A paper (arXiv 2605.05166) by Mina Gabriel shows that first-token confidence, phi_first—computed as the normalized entropy of the top-K logits at the first content-bearing answer token of a single greedy decode—matches or modestly exceeds semantic self-consistency for detecting hallucinations in closed-book short-answer factual QA. Across three 7-8B instruction-tuned models and two benchmarks, phi_first achieves a mean AUROC of 0.820 versus 0.793 for semantic agreement and 0.791 for surface-form self-consistency, while avoiding repeated decoding and external NLI inference costs. A subsumption test finds phi_first moderately to strongly correlated with semantic agreement, and combining the signals yields only small gains. The authors argue most uncertainty information captured by multi-sample agreement is already present in the initial token distribution, and that phi_first should be reported as a default low-cost baseline before sampling-based uncertainty estimation.

Paper Overview

  • Field: NLP
  • Author: Mina Gabriel
  • Published: 2026-05-06
  • arXiv: 2605.05166

Abstract

Self-consistency detects hallucinations by generating multiple sampled answers to a question and measuring agreement, but this requires repeated decoding and can be sensitive to lexical variation. Semantic self-consistency improves this by clustering sampled answers by meaning using natural language inference, but it adds both sampling cost and external inference overhead. We show that first-token confidence, phi_first, computed from the normalized entropy of the top-K logits at the first content-bearing answer token of a single greedy decode, matches or modestly exceeds semantic self-consistency on closed-book short-answer factual question answering. Across three 7-8B instruction-tuned models and two benchmarks, phi_first achieves a mean AUROC of 0.820, compared with 0.793 for semantic agreement and 0.791 for standard surface-form self-consistency. A subsumption test shows that phi_first is moderately to strongly correlated with semantic agreement, and combining the two signals yields only a small AUROC improvement over phi_first alone. These results suggest that much of the uncertainty information captured by multi-sample agreement is already available in the model's initial token distribution. We argue that phi_first should be reported as a default low-cost baseline before invoking sampling-based uncertainty estimation.

Tags

#hallucination-detection#nlp#uncertainty-estimation#self-consistency#llm#arxiv#question-answering

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