Differential Equations

Adaptive Fourier Decomposition-guided Neural Operator Design for Inverse PDE Problems UAI 2026 Continuous time policy evaluation is easier with noisy dynamics COLT 2026 Deep Q-Learning on Hölder Spaces COLT 2026 Dynamic Black-hole Emission Tomography with Physics-informed Neural Fields CVPR 2026 ECO: Energy-Constrained Operator Learning for Chaotic Dynamics with Boundedness Guarantees L4DC 2026 Efficient probabilistic surrogate modeling techniques for partially-observed large-scale dynamical systems L4DC 2026 Fourier Weak SINDy: Spectral Test Function Selection for Robust Model Identification L4DC 2026 Learning to Solve PDEs on Neural Shape Representations CVPR 2026 NESTOR: A Nested MOE-based Neural Operator for Large-Scale PDE Pre-Training CVPR 2026 Online Tracking with Predictions for Nonlinear Systems with Koopman Linear Embedding L4DC 2026 On the Exponential Stability of Koopman Model Predictive Control L4DC 2026 Optical Flow Matching: Reframing Optical Flow as Continuous Transport Dynamics CVPR 2026 PFEM-GP-dPHS : a finite element framework for combining Gaussian processes and infinite-dimensional port-Hamiltonian systems L4DC 2026 Physics-Informed Neural Operators for Cardiac Electrophysiology L4DC 2026 Emergence of meta-stable clustering in mean-field transformer models ICLR 2025 Energy-consistent Neural Operators for Hamiltonian and Dissipative Partial Differential Equations AISTATS 2025 Error Bounds for Physics-Informed Neural Networks in Fokker-Planck PDEs UAI 2025 Global Convergence in Neural ODEs: Impact of Activation Functions ICLR 2025 Learning Physics Informed Neural ODEs with Partial Measurements AAAI 2025 Learning to Solve Differential Equation Constrained Optimization Problems ICLR 2025 Local Stochastic Sensitivity Analysis For Dynamical Systems AISTATS 2025 Opt-ODENet: Neural ODE Controller Design with Differentiable Optimization Layers for Safety and Stability L4DC 2025 Parabolic Continual Learning AISTATS 2025 Physics-Informed Deep Inverse Operator Networks for Solving PDE Inverse Problems ICLR 2025 QP Based Constrained Optimization for Reliable PINN Training L4DC 2025