- Authors
- Daniel Klotz; Frederik Kratzert; Martin Gauch; Alden Keefe Sampson; Johannes Brandstetter; Günter Klambauer; Sepp Hochreiter; Grey Nearing
- Institution
- Johannes Kepler University Linz; Upstream Tech; Google Research
- Journal
- Hydrology and Earth System Sciences 26, 1673–1693
- Geography
- Hydrological benchmark study
- Method
- Mixture density networks; Monte Carlo dropout
- DOI
- 10.5194/hess-26-1673-2022
Research question
How can deep learning produce and evaluate predictive uncertainty for rainfall–runoff modelling?
Method and findings
Klotz and colleagues developed a benchmarking procedure and evaluated four deep-learning baselines: three using mixture density networks and one using Monte Carlo dropout. They found strong uncertainty-estimation baselines, particularly among the mixture-density approaches, and examined model behaviour beyond aggregate performance.
Limitations
A predictive distribution is evaluated within its data and modelling context. It is not a guarantee that future conditions outside that context are adequately represented.
Engineering interpretation
Read the validation workflow before comparing forecast scores.
Sources & further reading
- View original research: Uncertainty estimation with deep learning for rainfall–runoff modeling ↗Klotz et al. · 31 March 2022
External source · Checked 24 September 2026
Source findings are distinguished from editorial interpretation. Apply current local criteria and project evidence when making engineering decisions.