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On the Training and Generalization of Deep Operator Networks
22/22 checkable references clean · checked 2026-07-24
Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.
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The 22 checked references that resolve
resolves10.1137/20M1353010
Plateau Phenomenon in Gradient Descent Training of RELU Networks: Explanation, Quantification, and Avoidance
resolves10.1137/21M1460764
Active Neuron Least Squares: A Training Method for Multivariate Rectified Neural Networks
resolves10.1038/s41586-023-06185-3
Accurate medium-range global weather forecasting with 3D neural networks
resolves10.1073/pnas.2217744120
Artificial intelligence velocimetry reveals in vivo flow rates, pressure gradients, and shear stresses in murine perivascular flows
resolves10.1109/72.392253
Universal approximation to nonlinear operators by neural networks with arbitrary activation functions and its application to dynamical systems
resolves10.1007/s10208-018-9397-9
Correction to: On the Stability and Accuracy of Least Squares Approximations
resolves10.1016/j.neunet.2022.06.019
Approximation rates of DeepONets for learning operators arising from advection–diffusion equations
resolves10.1038/s42256-022-00569-2
Deep transfer operator learning for partial differential equations under conditional shift
resolves10.1038/s42256-021-00302-5
Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators
resolves10.1016/j.cma.2022.114778
A comprehensive and fair comparison of two neural operators (with practical extensions) based on FAIR data
resolves10.1137/21M1465718
Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations
resolves10.1038/s41524-022-00876-7
Learning two-phase microstructure evolution using neural operators and autoencoder architectures
resolves10.1109/JSAIT.2020.2991332
Toward Moderate Overparameterization: Global Convergence Guarantees for Training Shallow Neural Networks
resolves10.4208/cicp.OA-2020-0193
On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs
resolves10.1016/j.cma.2022.115718
SVD perspectives for augmenting DeepONet flexibility and interpretability
resolves10.1007/s10915-022-01881-0
Improved Architectures and Training Algorithms for Deep Operator Networks
The 4 references without a DOI — listed, not checked
no DOI — not checkedref4
no DOI — not checkedPartial Differential Equations
no DOI — not checkedref25
no DOI — not checkedref27
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