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Conformal Prediction with Paraphrase-Aware Scoring for LLM Uncertainty Quantification
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Proposes paraphrase-aware nonconformity scores that aggregate a learned hidden-state proxy's probabilities across paraphrases, integrated with split CP and QCCP to yield compact, near-nominal-coverage prediction sets under rewording.
Problem
LLM uncertainty estimates and conformal prediction sets are unstable under meaning-preserving paraphrases of the input, producing inflated or unreliable prediction sets even when marginal coverage is guaranteed.
Approach
Label-wise nonconformity scores computed by a lightweight MLP proxy on LLM last-layer hidden states, averaged (or weighted/worst-cased) over a set of LLM-generated paraphrases, then calibrated with split CP or QCCP; theory shows score exchangeability under a distributional closedness assumption for test-only rewording.
Key results
- Under QCCP on Qwen3-8B normal/fully reworded settings, PA achieves set sizes roughly 2x or more smaller than TRON-adapt. and SPUQ-adapt. (e.g., DS 1.24 vs 2.79-2.85 normal) with coverage 89.9-95.6%.
- In the semi-reworded setting, PA attains the smallest set sizes in most cases (e.g., DS SS 1.00 vs 2.61 for LAC under split CP) while coverage ranges 92-96% for split CP.
- Ablation: hidden-state proxy reduces Semi SS from 2.8929 (raw probabilities) to 1.3725; six-view aggregation further reduces set change by 15.8%.
Surprising findings
- Raw-probability averaging across paraphrases increases set change (0.3561 to 0.5785), while the learned proxy accounts for most of the compactness gain.
- APS overshoots coverage substantially (up to 100%) across settings, and LAC/SPUQ/TRON can be unstable under semi-reworded test shift.
Limitations
- Semi-reworded coverage guarantee relies on an approximate distributional closedness assumption that is not guaranteed by the stochastic paraphrase pipeline; deviation bound scales with m epsilon.
- Requires hidden-state access and labeled proxy-training data; black-box API variant only in appendix.
- Coverage is sometimes conservative (up to 95.6%) and fixed-alpha comparisons do not match achieved coverage across methods.
Experimental setup
Datasets: MMLU CosmosQA HellaSwag HaluDial HaluSum MedMCQA MedQA
Benchmarks: MMLU CosmosQA HellaSwag HaluDial HaluSum MedMCQA MedQA
Metrics: coverage rate set size accuracy Brier score NLL
Baselines: LAC APS TRON-adapt. SPUQ-adapt.
Builds on: split conformal prediction quasi-conditional conformal prediction SPUQ TRON LAC APS
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