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2024

On the Training and Generalization of Deep Operator Networks

SIAM Journal on Scientific Computing

Sanghyun Lee and Yeonjong Shin

2024

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

2024

Do Topological Characteristics Help in Knowledge Distillation?

Proceedings of Machine Learning Research

Jungeun Kim, Junwon You, Dongjin Lee, Ha Young Kim, Jae-Hun Jung

2024

Finite-dimensional leading order dynamics for the fast diffusion equation near extinction

Discrete and continuous dynamical systems

Beomjun Choi, Christian Seis

2024

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

2024

The long wavelength limit of periodic solutions of water wave models

Studies in applied mathematics

J. L. Bona, H. Chen, Y. Hong, M. Panthee

2024

Enhanced profile estimates for ovals and translators

Advances in Mathematics

Kyeongsu Choi, Robert Haslhofer, Or Hershkovits

2024

NEURAL OPERATOR BASED REYNOLDS AVERAGED TURBULENCE MODELLING

Journal of the Korean Society for Industrial and Applied Mathematics

Seungtae Park, Junseung Ryu, Hyungju Hwang

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