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Paper · arXiv

Eigenvalue Calibration for Semantic Embeddings of Large Language Models

Uncertainty quantification is central to the reliable deployment of large language models (LLMs), and eigenvalues of semantic embeddings have recently emerged as a key tool in state-of-the-art methods. However, conventional calibration results developed for classification probabilities cannot be directly transferred to eigenvalues. We address this gap by proposing a novel framework for calibrating the eigenvalues of semantic embeddings. We interpret LLMs combined with semantic embeddings of their generated answers as density matrix predictors, and we propose a novel approach to calibrate density matrix predictors by applying temperature scaling to their eigenvalues. We establish entropy-r...

AuthorsSebastian G. Gruber, Nassim Walha, Francis Bach et al.
Primary categorycs.LG
Published9 July 2026
Last updated at source9 July 2026
cs.LG
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