Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation

arXiv:2512.09165 · cs.LG · Submitted 2025-12-09 · Read on arXiv

cs.LG

Submitted: 2025-12-09

Updated: 2026-10-05

Terminology

• DeepONet — 6× in this paper · explained in 2 episodes
• Benchmark — 1× in this paper · explained in 2 episodes

Sources

• Fourier Neural Operator for Parametric Partial Differential Equations
• Multi-Grid Tensorized Fourier Neural Operator for High-Resolution PDEs
• MgFNO: Multi-grid Architecture Fourier Neural Operator for Parametric Partial Differential Equations
• Neural Operator: Graph Kernel Network for Partial Differential Equations
• Multipole Graph Neural Operator for Parametric Partial Differential Equations
• Operator Learning with Domain Decomposition for Geometry Generalization in PDE Solving
• Physics-Informed Deep Neural Operator Networks
• On the coupling instability of a gas jet impinging on a liquid film
• Learning to Describe for Predicting Zero-shot Drug-Drug Interactions
• Impact of QCD sum rules coupling constants on neutron stars structure
• Designing gradient coils with the shape derivative and the closed B-spline curves
• Tensor Decomposition Meets RKHS: Efficient Algorithms for Smooth and Misaligned Data
• Using Constraints to Discover Sparse and Alternative Subgroup Descriptions
• Generative Autoregressive Transformers for Model-Agnostic Federated MRI Reconstruction
• On the Spectral Bias of Neural Networks
• Fourier Features Let Networks Learn High Frequency Functions in Low Dimensional Domains
• FEDONet : Fourier-Embedded DeepONet for Spectrally Accurate Operator Learning
• Chebyshev Spectral Neural Networks for Solving Partial Differential Equations
• Chebyshev Feature Neural Network for Accurate Function Approximation

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