27 citations · 29 across the 5 of their papers we have counts for
3 papers · 1 filter
Numerical Analysis of HiPPO-LegS ODE for Deep State Space Models
Jaesung R. Park, Jaewook J. Suh, Youngjoon Hong +1
In deep learning, the recently introduced state space models utilize HiPPO (High-order Polynomial Projection Operators) memory units to approximate continuous-time trajectories of…
Convergence analysis of unsupervised Legendre-Galerkin neural networks for linear second-order elliptic PDEs
Seungchan Ko, Seok-Bae Yun, Youngjoon Hong
In this paper, we perform the convergence analysis of unsupervised Legendre--Galerkin neural networks (ULGNet), a deep-learning-based numerical method for solving partial different…
Deep neural network for solving differential equations motivated by Legendre-Galerkin approximation
Bryce Chudomelka, Youngjoon Hong, Hyunwoo Kim +1
Nonlinear differential equations are challenging to solve numerically and are important to understanding the dynamics of many physical systems. Deep neural networks have been appli…