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Paper · arXiv

Practical Deep Heteroskedastic Regression

Uncertainty quantification (UQ) in deep learning regression is of wide interest, as it supports critical applications including sequential decision making and risk-sensitive tasks. In heteroskedastic regression, where the uncertainty of the target depends on the input, a common approach is to train a neural network that parameterizes the mean and the variance of the predictive distribution. Still, training deep heteroskedastic regression models poses practical challenges in the trade-off between uncertainty quantification and mean prediction, such as optimization difficulties, representation collapse, and variance overfitting. In this work we identify previously undiscussed fallacies and ...

AuthorsMikkel Jordahn, Jonas Vestergaard Jensen, James Harrison et al.
Primary categorycs.LG
Published2 March 2026
Last updated at source2 March 2026
cs.LG
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