4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.OC2025
Fast convergence of dynamical systems with implicit Hessian damping and Tikhonov regularization
Hong-lu Li, Xin He, Yi-bin Xiao
This paper proposes novel primal-dual dynamical systems for solving linear equality constrained convex optimization. First, we introduce a primal-dual dynamical system with implici…
cs.LG2024
PROSE-FD: A Multimodal PDE Foundation Model for Learning Multiple Operators for Forecasting Fluid Dynamics
Yuxuan Liu, Jingmin Sun, Xinjie He +3
We propose PROSE-FD, a zero-shot multimodal PDE foundational model for simultaneous prediction of heterogeneous two-dimensional physical systems related to distinct fluid dynamics…
math.OC2024★ 4 cited
A General Mixed-Order Primal-Dual Dynamical System with Tikhonov Regularization
Honglu Li, Rong Hu, Xin He +1
In a Hilbert space, we propose a class of general mixed-order primal-dual dynamical systems with Tikhonov regularization for a convex optimization problem with linear equality cons…