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Can LLMs Express Their Uncertainty? An Empirical Evaluation of Confidence Elicitation in LLMs

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abstract

Empowering large language models to accurately express confidence in their answers is essential for trustworthy decision-making. Previous confidence elicitation methods, which primarily rely on white-box access to internal model information or model fine-tuning, have become less suitable for LLMs, especially closed-source commercial APIs. This leads to a growing need to explore the untapped area of black-box approaches for LLM uncertainty estimation. To better break down the problem, we define a systematic framework with three components: prompting strategies for eliciting verbalized confidence, sampling methods for generating multiple responses, and aggregation techniques for computing consistency. We then benchmark these methods on two key tasks-confidence calibration and failure prediction-across five types of datasets (e.g., commonsense and arithmetic reasoning) and five widely-used LLMs including GPT-4 and LLaMA 2 Chat. Our analysis uncovers several key insights: 1) LLMs, when verbalizing their confidence, tend to be overconfident, potentially imitating human patterns of expressing confidence. 2) As model capability scales up, both calibration and failure prediction performance improve. 3) Employing our proposed strategies, such as human-inspired prompts, consistency among multiple responses, and better aggregation strategies can help mitigate this overconfidence from various perspectives. 4) Comparisons with white-box methods indicate that while white-box methods perform better, the gap is narrow, e.g., 0.522 to 0.605 in AUROC. Despite these advancements, none of these techniques consistently outperform others, and all investigated methods struggle in challenging tasks, such as those requiring professional knowledge, indicating significant scope for improvement. We believe this study can serve as a strong baseline and provide insights for eliciting confidence in black-box LLMs.

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representative citing papers

LAB-Bench: Measuring Capabilities of Language Models for Biology Research

cs.AI · 2024-07-14 · accept · novelty 8.0

LAB-Bench provides over 2,400 multiple-choice questions to measure LLM performance on real biology research tasks like literature recall, figure reading, database access, and sequence manipulation, with initial results compared against human expert biologists.

The First Token Knows: Single-Decode Confidence for Hallucination Detection

cs.CL · 2026-05-06 · unverdicted · novelty 7.0

First-token normalized entropy (phi_first) from one greedy decode reaches mean AUROC 0.820 for hallucination detection, matching or exceeding semantic self-consistency (0.793) and surface self-consistency (0.791) across three 7-8B models and two benchmarks.

Confidence Estimation in Automatic Short Answer Grading with LLMs

cs.CL · 2026-04-30 · unverdicted · novelty 6.0 · 2 refs

A hybrid confidence framework for LLM-based short answer grading combines model signals with aleatoric uncertainty from semantic clustering of responses and improves selective grading reliability over single-source methods.

MarketBench: Evaluating AI Agents as Market Participants

cs.AI · 2026-04-26 · unverdicted · novelty 6.0

LLMs show poor calibration in predicting task success and token use on software engineering benchmarks, causing market auctions to underperform compared to perfect information scenarios, with limited improvement from added context.

Calibration-Aware Policy Optimization for Reasoning LLMs

cs.LG · 2026-04-14 · unverdicted · novelty 6.0

CAPO improves LLM calibration by up to 15% while matching or exceeding GRPO accuracy through logistic AUC loss and noise masking, enabling better abstention and scaling performance.

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