Liu, Lizuo

1. A Phase Shift Deep Neural Network for High Frequency Approximation and Wave Problems
   2019/09/23 by Wei Cai, Xiaoguang Li, Cai, Wei +3 · 7 citations
   Engineering · Materials Science · Physics and Astronomy · #Electromagnetic Simulation and Numerical Methods #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Magnetic Properties and Applications #Model Reduction and Neural Networks #Numerical Analysis (math.NA)
2. A Causality-DeepONet for Causal Responses of Linear Dynamical Systems
   2022/09/17 by Lizuo Liu, Liu, Lizuo, Kamaljyoti Nath +3 · 7 citations
   Earth and Planetary Sciences · Engineering · Physics and Astronomy · #65R20 #65Z05 #78M25 #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Seismic Imaging and Inversion Techniques #Structural Health Monitoring Techniques
3. Multiscale DeepONet for Nonlinear Operators in Oscillatory Function Spaces for Building Seismic Wave Responses
   2021/11/08 by Lizuo Liu, Wei Cai, Liu, Lizuo +1 · 5 citations
   Computer Science · Engineering · Physics and Astronomy · #FOS: Mathematics #Image and Signal Denoising Methods #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods in engineering
4. DeepPropNet -- A Recursive Deep Propagator Neural Network for Learning Evolution PDE Operators
   2022/02/27 by Liu, Lizuo, Cai, Wei · 1 citation
   #FOS: Mathematics #Numerical Analysis (math.NA)
5. On Spectral Bias Reduction of Multi-scale Neural Networks for Regression Problems
   2022/12/07 by Bo Wang, Heng Yuan, Wang, Bo +7 · 1 citation
   Computer Science · Mathematics · Physics and Astronomy · #FOS: Mathematics #Model Reduction and Neural Networks #Neural Networks and Applications #Numerical Analysis (math.NA) #Numerical methods in inverse problems
6. Neural Entropy-stable conservative flux form neural networks for learning hyperbolic conservation laws
   2025/07/02 by Lizuo Liu, Lu Zhang, Liu, Lizuo +3 · 2 citations
   Physics and Astronomy · Engineering · Computer Science · #Model Reduction and Neural Networks #Computational Fluid Dynamics and Aerodynamics #Generative Adversarial Networks and Image Synthesis
7. Multi-scale DeepOnet (Mscale-DeepOnet) for Mitigating Spectral Bias in Learning High Frequency Operators of Oscillatory Functions
   2025/04/15 by Bo Wang, Wang, Bo, Lizuo Liu +3 · 2 citations
   Computer Science · Earth and Planetary Sciences · Engineering · #FOS: Computer and information sciences #FOS: Mathematics #Image and Signal Denoising Methods #Machine Learning (cs.LG) #Microwave Imaging and Scattering Analysis #Numerical Analysis (math.NA) #Seismic Imaging and Inversion Techniques
8. PhaseDNN - A Parallel Phase Shift Deep Neural Network for Adaptive Wideband Learning
   2019/05/03 by Wei Cai, Xiaoguang Li, Cai, Wei +3 · 1 citation
   Computer Science · Engineering · #68Q32 #68T01 #Advanced Adaptive Filtering Techniques #FOS: Computer and information sciences #FOS: Electrical engineering #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Neural Networks and Applications #Signal Processing (eess.SP) #Speech and Audio Processing #electronic engineering #information engineering