PreCorrector Takes the Lead: How It Stacks Up Against Other Neural Preconditioning Methods
2 Jun 2025
PreCorrector outperforms neural operators and classical methods by learning IC corrections. Future: theoretical loss analysis and sparse matrix generalization.
PreCorrector Proves Its Worth: Classical Preconditioners Meet Their Neural Match
2 Jun 2025
PreCorrector outperforms classical IC by 2-3x on complex systems, reduces eigenvalue gaps, generalizes across grids/datasets with <10% loss.
New AI Method PreCorrector Solves Complex Diffusion Problems Faster Than Ever
2 Jun 2025
PreCorrector learns corrections to IC factorization using GNN on L matrix. Validated on 2D diffusion with Gaussian random fields and contrast metric.
Teaching Old Preconditioners New Tricks: How GNNs Supercharge Linear Solvers
2 Jun 2025
GNNs enhance classical preconditioners (ILU/IC) for iterative linear solvers, outperforming neural and classical methods with sparse patterns.