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2024
On the Training and Generalization of Deep Operator Networks
SIAM Journal on Scientific Computing
Sanghyun Lee and Yeonjong Shin
Singular layer physics informed neural network method for plane parallel flows
Computers & mathematics with applications
Teng-Yuan Chang, Gung-Min Gie, Youngjoon Hong, Chang-Yeol Jung
Do Topological Characteristics Help in Knowledge Distillation?
Proceedings of Machine Learning Research
Jungeun Kim, Junwon You, Dongjin Lee, Ha Young Kim, Jae-Hun Jung
Finite-dimensional leading order dynamics for the fast diffusion equation near extinction
Discrete and continuous dynamical systems
Beomjun Choi, Christian Seis
Uniqueness and Orbital Stability of Standing Waves for the Nonlinear Schrödinger Equation with a Partial Confinement
SIAM journal on mathematical analysis
Younghun Hong, Sangdon Jin
The long wavelength limit of periodic solutions of water wave models
Studies in applied mathematics
J. L. Bona, H. Chen, Y. Hong, M. Panthee
Enhanced profile estimates for ovals and translators
Advances in Mathematics
Kyeongsu Choi, Robert Haslhofer, Or Hershkovits
NEURAL OPERATOR BASED REYNOLDS AVERAGED TURBULENCE MODELLING
Journal of the Korean Society for Industrial and Applied Mathematics
Seungtae Park, Junseung Ryu, Hyungju Hwang