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cs.LG2024
Why Rectified Power Unit Networks Fail and How to Improve It: An Effective Field Theory Perspective
Taeyoung Kim, Myungjoo Kang
The Rectified Power Unit (RePU) activation function, a differentiable generalization of the Rectified Linear Unit (ReLU), has shown promise in constructing neural networks due to i…
physics.comp-ph2024
Neural Operators Learn the Local Physics of Magnetohydrodynamics
Taeyoung Kim, Youngsoo Ha, Myungjoo Kang
Magnetohydrodynamics (MHD) plays a pivotal role in describing the dynamics of plasma and conductive fluids, essential for understanding phenomena such as the structure and evolutio…
math.NA2024
Approximating Numerical Fluxes Using Fourier Neural Operators for Hyperbolic Conservation Laws
Taeyoung Kim, Myungjoo Kang
Traditionally, classical numerical schemes have been employed to solve partial differential equations (PDEs) using computational methods. Recently, neural network-based methods hav…