The model reduction of the Vlasov-Poisson-Fokker-Planck system to the Poisson-Nernst-Planck system via the Deep Neural Network Approach. - Jae Yong Lee 002; Jin Woo Jang; Hyung Ju Hwang (CoRR, 2020)

Trend to equilibrium for the kinetic Fokker-Planck equation via the neural network approach. - Hyung Ju Hwang; Jin Woo Jang; Hyeontae Jo; Jae Yong Lee 002 (J. Comput. Phys., 2020)

Solving PDE-Constrained Control Problems Using Operator Learning. - Rakhoon Hwang; Jae Yong Lee 002; Jinyoung Shin; Hyung Ju Hwang (AAAI, 2022)

Pseudo-Differential Integral Operator for Learning Solution Operators of Partial Differential Equations. - Jinyoung Shin; Jae Yong Lee 002; Hyung Ju Hwang (CoRR, 2022)

HyperDeepONet: learning operator with complex target function space using the limited resources via hypernetwork. - Jae Yong Lee 002; Sung Woong Cho; Hyung Ju Hwang (ICLR, 2023)

Finite Element Operator Network for Solving Parametric PDEs. - Jae Yong Lee 002; Seungchan Ko; Youngjoon Hong (CoRR, 2023)

opPINN: Physics-informed neural network with operator learning to approximate solutions to the Fokker-Planck-Landau equation. - Jae Yong Lee 002; Juhi Jang; Hyung Ju Hwang (J. Comput. Phys., 2023)

Learning time-dependent PDE via graph neural networks and deep operator network for robust accuracy on irregular grids. - Sung Woong Cho; Jae Yong Lee 002; Hyung Ju Hwang (CoRR, 2024)

Error analysis for finite element operator learning methods for solving parametric second-order elliptic PDEs. - Youngjoon Hong; Seungchan Ko; Jae Yong Lee 002 (CoRR, 2024)

Pseudo-Differential Neural Operator: Generalize Fourier Neural operator for Learning Solution Operators of Partial Differential Equations. - Jinyoung Shin; Jae Yong Lee 002; Hyung Ju Hwang (Trans. Mach. Learn. Res., 2024)

Hamilton-Jacobi based policy-iteration via deep operator learning. - Jae Yong Lee 002; Yeoneung Kim (Neurocomputing, 2025)

Finite Element Operator Network for Solving Elliptic-Type Parametric PDEs. - Jae Yong Lee 002; Seungchan Ko; Youngjoon Hong (SIAM J. Sci. Comput., 2025)