Papers › Trustworthy Prediction with Gaussian Process Knowledge Scores

Trustworthy Prediction with Gaussian Process Knowledge Scores

23 Jun 2025arXiv:2506.18630archive 2025-07-28

Kurt Butler, Guanchao Feng, Tong Chen, Petar Djuric

Probabilistic models are often used to make predictions in regions of the data space where no observations are available, but it is not always clear whether such predictions are well-informed by previously seen data. In this paper, we propose a knowledge score for predictions from Gaussian process regression (GPR) models that quantifies the extent to which observing data have reduced our uncertainty about a prediction. The knowledge score is interpretable and naturally bounded between 0 and 1. We demonstrate in several experiments that the knowledge score can anticipate when predictions from a GPR model are accurate, and that this anticipation improves performance in tasks such as anomaly detection, extrapolation, and missing data imputation. Source code for this project is available online at https://github.com/KurtButler/GP-knowledge.

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Anomaly DetectionGPRImputationPrediction

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Gaussian Process

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