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Localizing Input Uncertainty Quantification for Large Language Models via Shapley Values
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Proposes ShaQ, a Shapley-value framework that localizes input-induced (aleatoric) uncertainty to ambiguous spans of an LLM input, using bottom-up marginalization over LLM-generated premises, and shows gains in ambiguity detection on AmbiEnt and AmbigQA.
Problem
Input-level uncertainty scores for LLMs do not reveal which parts of an ambiguous or under-specified input cause uncertainty, so users cannot target clarification; existing input-level methods give only a single aggregate score.
Approach
Treat ambiguous spans as players in a cooperative game with value = mutual information between the answer Y and span clarifications; Shapley values give per-span attributions that sum exactly to total input-induced uncertainty, and a bottom-up marginalization keeps marginal contributions non-negative.
Key results
- On multi-span AmbiEnt with GPT-5.4 mini, ShaQ reaches 86.56 F1, 80.05 AUROC and 91.27 AUPRC, versus 59.64 F1 / 53.40 AUROC for ICE.
- On the high-uncertainty AmbigQA superset in uncertainty-guided clarification, ShaQ gives the largest entropy reduction (0.0389) with the fewest word edits (5.52) versus Semantic Entropy (0.0330, 6.45).
- Across Gemini backbones on multi-span AmbiEnt, ShaQ reaches AUROC 85.85 with Gemini-2.5-flash, though it does not beat LOO on F1 for Gemini-3.1-flash-lite.
Surprising findings
- Baselines like ICE and Deep Ensembles sometimes increase predictive entropy after clarification (ΔH = -0.0633 for ICE), suggesting input-level uncertainty can fail to point to the right spans.
- On AmbiEnt single-label-space NLI, dropping semantic clustering still gives the same trend, reducing LLM calls.
Limitations
- No gold annotations for ambiguous spans or premises, so span-level localization is not directly evaluated; only input-level ambiguity detection is measured.
- Relies on several LLM calls and sampling (premises x answers per coalition), with cost growing with span count.
- Results depend on proprietary API backbones (GPT-4, GPT-5.4 mini, Gemini), limiting reproducibility; few-shot demonstrations were manually annotated by the authors.
Experimental setup
Datasets: AmbigQA AmbiEnt MediTOD
Benchmarks: AmbigQA AmbiEnt MediTOD
Metrics: best F1 AUROC AUPRC entropy reduction word-level edit distance
Baselines: Input Clarification Ensemble Deep Ensembles Ask4Conf-D Semantic Entropy Sample Diversity Sample Repetition Self-Consistency LOO
Builds on: Input Clarification Ensemble SHAP Semantic Entropy
Closest papers by meaning
- SPANUQ: Span-Level Uncertainty Quantification for Large Language Model Generation (NeurIPS 2026 · similarity 0.89)
- Inv-Entropy: A Fully Probabilistic Framework for Uncertainty Quantification in Language Models (NeurIPS 2025 · similarity 0.89)
- Large Language Models Must Be Taught to Know What They Don’t Know (NeurIPS 2024 · similarity 0.88)
- FLUE: Streamlined Uncertainty Estimation for Large Language Models (AAAI 2025 · similarity 0.88)
- Position: Uncertainty Quantification Needs Reassessment for Large Language Model Agents (ICML 2025 · similarity 0.88)
- CoMet: Context and Multiplicity Decomposition for Multimodal Uncertainty Estimation (NeurIPS 2026 · similarity 0.88)
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