Smooth Piecewise Cutting for Neural Operator to Handle Discontinuities and Sharp Transitions
cs.LG, cs.AI, math.AP, math.DS, stat.ML
Submitted: 2026-05-19
Updated: 2026-09-25
Code: https://github.com/DangHa/cut-deeponet
Terminology
Sources
- Fourier Neural Operator for Parametric Partial Differential Equations
- Nonlinear Reconstruction for Operator Learning of PDEs with Discontinuities
- NOMAD: Nonlinear Manifold Decoders for Operator Learning
- HyperDeepONet: learning operator with complex target function space using the limited resources via hypernetwork
- $\phi-$DeepONet: A Discontinuity Capturing Neural Operator
- R-adaptive DeepONet: Learning Solution Operators for PDEs with Discontinuous Solutions Using an R-adaptive Strategy
- Discontinuous Galerkin finite element operator network for solving non-smooth PDEs
- Shock-Aware Physics-Guided Fusion-DeepONet Operator for Rarefied Micro-Nozzle Flows
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