2 papers
cs.LG2026
Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates
Jianing Liu, Dong H. Zhang
Nonlinear least-squares optimization is central to regression, physics-informed neural networks, and other machine-learning tasks. Such problems have a natural geometric interpreta…
physics.flu-dyn2026
Deep learning accelerated solutions of incompressible Navier-Stokes equations on non-uniform Cartesian grids
Heming Bai, Dong Zhang, Shengze Cai +1
In incompressible flow simulations, non-uniform grids efficiently capture localized flow features; however, their spatially varying resolutions severely exacerbate computational co…