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Paper · arXiv

From Entropy to Calibrated Uncertainty: Training Language Models to Reason About Uncertainty

Large Language Models (LLMs) that can express interpretable and calibrated uncertainty are crucial in high-stakes domains. While methods to compute uncertainty post-hoc exist, they are often sampling-based and therefore computationally expensive or lack calibration. We propose a three-stage pipeline to post-train LLMs to efficiently infer calibrated uncertainty estimates for their responses. First, we compute fine-grained entropy-based uncertainty scores on the training data, capturing the distributional variability of model outputs in embedding space. Second, these scores are calibrated via Platt scaling, producing reliable and human-interpretable uncertainty signals. Finally, the target...

AuthorsAzza Jenane, Nassim Walha, Lukas Kuhn et al.
Primary categorycs.LG
Published6 March 2026
Last updated at source6 March 2026
cs.LGcs.AI
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