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solution operator

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partial differential equation (6) neural operator (2) operator learning (2) global attractor (1) semigroup property (1) dissipative system (1) integral equation (1) picard iteration (1) neural network (1) graph neural network (1)

Papers

Energy-consistent Neural Operators for Hamiltonian and Dissipative Partial Differential Equations AISTATS 2025 Physics-Informed Deep Inverse Operator Networks for Solving PDE Inverse Problems ICLR 2025 Quantitative Approximation for Neural Operators in Nonlinear Parabolic Equations ICLR 2025 SINGER: Stochastic Network Graph Evolving Operator for High Dimensional PDEs ICLR 2025 Inducing Point Operator Transformer: A Flexible and Scalable Architecture for Solving PDEs AAAI 2024 Learning Chaotic Dynamics in Dissipative Systems NeurIPS 2022 Neural Stochastic PDEs: Resolution-Invariant Learning of Continuous Spatiotemporal Dynamics NeurIPS 2022