Lizuo Liu

17 papers Journal 17

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Entropy Stable Conservative Flux Form Neural Networks. J. Sci. Comput. Lizuo Liu, Tongtong Li, Anne Gelb, Yoonsang Lee
2026	J	`jnl`	Neural entropy-stable conservative flux form neural networks for learning hyperbolic conservation laws. J. Comput. Phys. Lizuo Liu, Lu Zhang, Anne Gelb
2026	J	`jnl`	Parametric Hyperbolic Conservation Laws: A Unified Framework for Conservation, Entropy Stability, and Hyperbolicity. CoRR Lizuo Liu, Lu Zhang, Anne Gelb
2025	J	`jnl`	Invariant Representations via Wasserstein Correlation Maximization. CoRR Keenan Eikenberry, Lizuo Liu, Yoonsang Lee
2025	J	`jnl`	Multi-scale DeepOnet (Mscale-DeepOnet) for Mitigating Spectral Bias in Learning High Frequency Operators of Oscillatory Functions. CoRR Bo Wang, Lizuo Liu, Wei Cai
2025	J	`jnl`	Neural Entropy-stable conservative flux form neural networks for learning hyperbolic conservation laws. CoRR Lizuo Liu, Lu Zhang, Anne Gelb
2025	J	`jnl`	Non-intrusive structural-preserving sequential data assimilation. CoRR Lizuo Liu, Tongtong Li, Anne Gelb
2025	J	`jnl`	On spectral bias reduction of multi-scale neural networks for regression problems. Neural Networks Bo Wang, Heng Yuan, Lizuo Liu, Wenzhong Zhang, Wei Cai
2024	J	`jnl`	Entropy stable conservative flux form neural networks. CoRR Lizuo Liu, Tongtong Li, Anne Gelb, Yoonsang Lee
2022	J	`jnl`	A Causality-DeepONet for Causal Responses of Linear Dynamical Systems. CoRR Lizuo Liu, Kamaljyoti Nath, Wei Cai
2022	J	`jnl`	DeepPropNet - A Recursive Deep Propagator Neural Network for Learning Evolution PDE Operators. CoRR Lizuo Liu, Wei Cai
2022	J	`jnl`	On the Convergence of the Multi-scale Deep Neural Network (MscaleDNN) in Approximating Oscillatory Functions. CoRR Bo Wang, Heng Yuan, Lizuo Liu, Wenzhong Zhang, Wei Cai
2021	J	`jnl`	A Linearized Learning with Multiscale Deep Neural Network for Stationary Navier-Stokes Equations with Oscillatory Solutions. CoRR Lizuo Liu, Bo Wang, Wei Cai
2021	J	`jnl`	Multiscale DeepONet for Nonlinear Operators in Oscillatory Function Spaces for Building Seismic Wave Responses. CoRR Lizuo Liu, Wei Cai
2020	J	`jnl`	A Phase Shift Deep Neural Network for High Frequency Approximation and Wave Problems. SIAM J. Sci. Comput. Wei Cai, Xiaoguang Li, Lizuo Liu
2019	J	`jnl`	A Phase Shift Deep Neural Network for High Frequency Wave Equations in Inhomogeneous Media. CoRR Wei Cai, Xiaoguang Li, Lizuo Liu
2019	J	`jnl`	PhaseDNN - A Parallel Phase Shift Deep Neural Network for Adaptive Wideband Learning. CoRR Wei Cai, Xiaoguang Li, Lizuo Liu