ML4WX

Probabilistic & ensemble forecasting

Sinh-arcsinh-normal distributions to add uncertainty to neural network regression tasks: Applications to tropical cyclone intensity forecasts

Elizabeth A. Barnes, Randal J. Barnes, Mark DeMaria

Environmental Data Science · · Colorado State University (incl. CIRA)

PaperPDF

In one sentence. Sinh-arcsinh-normal output distributions give neural networks asymmetric, heteroscedastic uncertainty, demonstrated on tropical cyclone intensity forecast errors.

Abstract

A simple method for adding uncertainty to neural network regression tasks in earth science via estimation of a general probability distribution is described. Specifically, we highlight the sinh-arcsinh-normal distributions as particularly well suited for neural network uncertainty estimation. The methodology supports estimation of heteroscedastic, asymmetric uncertainties by a simple modification of the network output and loss function. Method performance is demonstrated by predicting tropical cyclone intensity forecast uncertainty and by comparing to two other common methods for neural network uncertainty quantification (i.e. Bayesian neural networks and Monte Carlo dropout). The simple approach described here is intuitive and applicable when no prior exists and one just wishes to parameterize the output and its uncertainty according to some previously defined family of distributions. The authors believe it will become a powerful, go-to method moving forward.

Labels

Topic
Probabilistic & ensemble forecasting, Explainability, uncertainty & physics
Type
New model or method
Method
Other
Time scale
6 h–3 days
Domain
Regional
Data
Other
Status
Research
Identifiers
DOI:10.1017/eds.2023.7 OpenAlex:W4380987700
Added
2026-10-22

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