MgNet

swMATH35862MaRDI QIDQ51564

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• MgNet: a unified framework of multigrid and convolutional neural network

Related Items (16)

PhyGeoNet: physics-informed geometry-adaptive convolutional neural networks for solving parameterized steady-state PDEs on irregular domain ⋮ PFNN: a penalty-free neural network method for solving a class of second-order boundary-value problems on complex geometries ⋮ Bayesian sparse learning with preconditioned stochastic gradient MCMC and its applications ⋮ A Helmholtz equation solver using unsupervised learning: application to transcranial ultrasound ⋮ A modified batch intrinsic plasticity method for pre-training the random coefficients of extreme learning machines ⋮ Meta-mgnet: meta multigrid networks for solving parameterized partial differential equations ⋮ Deep solution operators for variational inequalities via proximal neural networks ⋮ Numerical approximation of partial differential equations by a variable projection method with artificial neural networks ⋮ Probabilistic deep learning for real-time large deformation simulations ⋮ On computing the hyperparameter of extreme learning machines: algorithm and application to computational PDEs, and comparison with classical and high-order finite elements ⋮ DeepParticle: learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method ⋮ A review on deep learning in medical image reconstruction ⋮ Local extreme learning machines and domain decomposition for solving linear and nonlinear partial differential equations ⋮ Butterfly-Net: Optimal Function Representation Based on Convolutional Neural Networks ⋮ Enforcing Imprecise Constraints on Generative Adversarial Networks for Emulating Physical Systems ⋮ Multilevel Fine-Tuning: Closing Generalization Gaps in Approximation of Solution Maps under a Limited Budget for Training Data

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