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Paper · arXiv

Learning Context-conditioned Gaussian Overbounds for Convolution-Based Uncertainty Propagation

Uncertainty quantification is essential in safety-critical settings--from autonomous driving to aviation, finance, and health--where decisions must rely on conservative bounds rather than point estimates. Predictor-level intervals (e.g., from quantile regression, conformal prediction, variance networks, or Bayesian models) generally do not compose: adding two per-variable intervals need not yield a valid interval for their sum or preserve coverage. In aviation, Gaussian overbounding replaces complex error distributions with a conservative Gaussian whose tails dominate the truth, so conservatism propagates through linear operations. Yet classical overbounds are global, often overly conserv...

AuthorsRuirui Liu, Xuejie Hou, Yiping Jiang et al.
Primary categorycs.LG
Published15 May 2026
Last updated at source15 May 2026
cs.LGeess.SPstat.ML
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