Latest Research in Model Reduction and Neural Networks

Top Research Topics in Model Reduction and Neural Networks

• Model Reduction and Neural Networks — 9 papers
• Numerical Analysis — 8 papers
• Machine Learning — 4 papers
• Nonlinear Dynamics and Pattern Formation — 3 papers
• Dynamical Systems — 3 papers
• Analysis of PDEs — 2 papers
• Complex Systems and Time Series Analysis — 2 papers
• Topological and Geometric Data Analysis — 2 papers
• Distributed, Parallel, and Cluster Computing — 2 papers
• Machine Learning — 1 papers

Highest-Cited Papers

1. A novel new iterative method–physics-informed neural networks approach for accurate and efficient solutions of nonlinear damped Burgers’ equations
2. Path Memory and Multistability in Coupled Oscillator Networks: A Numerical Study
3. Neural network-assisted refinement of traditional schemes for one-dimensional scalar conservation laws
4. SIPHy: Sparse identification of port-Hamiltonian systems from noisy data
5. Learning Interaction Kernels from Collective Steady States
6. Deep Learning for Singular PDEs: A Weighted Neural Network Approach
7. Hybrid coupling with numerics-informed neural networks and the overlapping Schwarz alternating method
8. fSRD: Fuzzy Spectral Region Decomposition -- Automated Multi Operator Koopman Representations via an Adaptive Spectral Learning Architecture
9. Codebase release 0.0 for trainsum
10. Propagation failure in heterogeneous FitzHugh--Nagumo systems via coupled upper and lower solutions
11. Two-layers neural networks for Schr{ö}dinger eigenvalue problems
12. Floquet Fibre Geometry and Higher-Order Reduced Coordinates for Off-Manifold Transients near Nonlinear Aeroelastic Flutter
13. Symplectic Neural Networks for Learning Non-Separable Hamiltonians
14. Two-scale neural networks for singularly perturbed dynamical systems with multiple parameters
15. Structure-Preserving Learning and Prediction in Optimal Control of Collective Motion
16. Slow activity decay in excitable models with discontinuous phase transitions
17. Performance portable adjoints for structured mesh applications with OPS
18. Operator Inference for Elliptic Eigenvalue Problems
19. E8 Phi-Resonance Decay Cascade for Financial Market Predictability — E8 Intelligence Research
20. Selective boundary condition reduction via learned error gating