Probabilistic neural networks for fluid flow surrogate modeling and data recovery
Romit Maulik, Kai Fukami, Nesar Ramachandra, Koji Fukagata, Kunihiko Taira
Abstract
Artificial neural networks (ANNs) have recently been applied to several fluid dynamics applications. However, there are a very limited number of studies that assess the fidelity of ANN deployments, a function of algorithm choice and training data quality, by quantifying uncertainties in predictions. This diminishes their utility for practical modeling requirements. In an effort to address this, a probabilistic NN that provides confidence intervals for its predictions in a computationally effective manner is used. This approach is demonstrated in surrogate modeling and flow reconstruction tasks with promising results.
Topics & Concepts
Probabilistic logicInterpretabilitySurrogate modelComputer scienceArtificial neural networkFlow (mathematics)HyperparameterData setStatistical modelPosterior probabilityMachine learningArtificial intelligenceAlgorithmMathematicsBayesian probabilityGeometryModel Reduction and Neural NetworksProbabilistic and Robust Engineering DesignGaussian Processes and Bayesian Inference