Concepedia

Solving inverse-PDE problems with physics-aware neural networks

Samira Pakravan, Pouria Mistani, Miguel A. Aragón-Calvo, Frédéric Gibou

Journal of Computational Physics · 2021 · 73 citations · 80 references

Open access

Concepts

Natural SciencesMathematicsPhysicsComputational Fluid DynamicsDifferential EquationsMachine LearningBoundary ConditionsDeep LearningInverse ProblemsNeural NetworksNumerical Methods For Differential EquationsPartial Differential EquationsComputational Inverse ProblemsInverse Problem SolvingInverse Problems In Partial Differential EquationsPartial Differential Equation SolversPhysics-informed Inversion

References

80

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Computing, Computer Science, Algorithms +16

Adam: A Method for Stochastic Optimization

Diederik P. Kingma, Jimmy Ba · UvA-DARE (University of Amsterdam) · 2014 · 84.8K citations · Full text

Computing, Computer Science, Algorithms +16

ImageNet classification with deep convolutional neural networks

Alex Krizhevsky, Ilya Sutskever, Geoffrey E. Hinton · Communications of the ACM · 2017 · 75.7K citations · Full text

Computing, Computer Science, Computer Vision +12

Gradient-based learning applied to document recognition

Yann LeCun, Léon Bottou, Yoshua Bengio et al. · Proceedings of the IEEE · 1998 · 58.2K citations · Full text

Computing, Computer Science, Computer Vision +14

Dropout: a simple way to prevent neural networks from overfitting

Nitish Srivastava, Geoffrey E. Hinton, Alex Krizhevsky et al. · 2014 · 34.3K citations

Computing, Computer Science, Artificial Intelligence +12