170 citations · 742 across the 23 of their papers we have counts for
23 papers
An Efficient Laguerre Minimum Action Method for Computing Quasi-Potentials
Shenghe Huang, Yishuang Yue, Haijun Yu
Minimum action methods provide a powerful framework for analyzing rare transitions in small-noise-driven dynamical systems, but their practical performance is often limited by time…
Improved Laguerre Spectral Methods with Less Round-off Errors and Better Stability
Shenghe Huang, Haijun Yu
Laguerre polynomials are orthogonal polynomials defined on positive half line with respect to weight . They have wide applications in scientific and engineering computation…
Efficient Spectral Methods for Quasi-Equilibrium Closure Approximations of Symmetric Problems on Unit Circle and Sphere
Shan Jiang, Haijun Yu
Quasi-equilibrium approximation is a widely used closure approximation approach for model reduction with applications in complex fluids, materials science, etc. It is based on the…
OnsagerNet: Learning Stable and Interpretable Dynamics using a Generalized Onsager Principle
Haijun Yu, Xinyuan Tian, Weinan E +1
We propose a systematic method for learning stable and physically interpretable dynamical models using sampled trajectory data from physical processes based on a generalized Onsage…
An Energy Stable Linear Diffusive Crank-Nicolson Scheme for the Cahn-Hilliard Gradient Flow
Lin Wang, Haijun Yu
We propose and analyze a linearly stabilized semi-implicit diffusive Crank--Nicolson scheme for the Cahn--Hilliard gradient flow. In this scheme, the nonlinear bulk force is treate…
PowerNet: Efficient Representations of Polynomials and Smooth Functions by Deep Neural Networks with Rectified Power Units
Bo Li, Shanshan Tang, Haijun Yu
Deep neural network with rectified linear units (ReLU) is getting more and more popular recently. However, the derivatives of the function represented by a ReLU network are not con…