Error-Correcting Neural Networks for Two-Dimensional Curvature Computation in the Level-Set Method
Luis Ángel Larios-Cárdenas,
Frédéric Gibou
Abstract:We present an error-neural-modeling-based strategy for approximating two-dimensional curvature in the level-set method. Our main contribution is a redesigned hybrid solver [1]) that relies on numerical schemes to enable machine-learning operations on demand. In particular, our routine features double predicting to harness curvature symmetry invariance in favor of precision and stability. As in [1], the core of this solver is a multilayer perceptron trained on circular-and sinusoidal-interface samples. Its rol… Show more
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