SMORE: Stability-Promoting Mesh-Agnostic Model Reduction for Time-Dependent PDEs
cs.LG, cs.AI
Submitted: 2026-09-27
Updated: 2026-09-27
Terminology
Sources
- Transformer for Partial Differential Equations' Operator Learning
- CoLoRA: Continuous low-rank adaptation for reduced implicit neural modeling of parameterized partial differential equations
- DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators
- Fourier Neural Operator for Parametric Partial Differential Equations
- Learning Mesh-Based Simulation with Graph Networks
- CROM: Continuous Reduced-Order Modeling of PDEs Using Implicit Neural Representations
- Continuous PDE Dynamics Forecasting with Implicit Neural Representations
- CoNFiLD: Conditional Neural Field Latent Diffusion Model Generating Spatiotemporal Turbulence
- A Survey on Diffusion Models for Time Series and Spatio-Temporal Data
- Modern Koopman Theory for Dynamical Systems
- LoRA: Low-Rank Adaptation of Large Language Models
- Compressed Convolutional LSTM: An Efficient Deep Learning framework to Model High Fidelity 3D Turbulence
- Operator is the Model
- Data-driven Koopman operator predictions of turbulent dynamics in models of shear flows
- Guaranteed Stable Quadratic Models and their applications in SINDy and Operator Inference
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