Publications

  1. Liyao Lyu, Huan Lei*. 2023. "Consensus-based construction of high-dimensional free energy surface" Arxiv
  2. Liyao Lyu, Jingrun Chen. 2025. "Consensus Based Stochastic Control" International Conference on Machine Learning
  3. Liyao Lyu, Huan Lei*. 2025. "On the generalization ability of coarse-grained molecular dynamics models for non-equilibrium processes" Multiscale Modeling & Simulation
  4. Liyao Lyu, Huan Lei*. 2023. "Construction of coarse-grained molecular dynamics with many-body non-Markovian memory" Physical Review Letters
  5. Senwei Liang, Liyao Lyu, Chunmei Wang, Haizhao Yang. 2023. " Reproducing Activation Function for Deep Learning" Communication in Mathematical Sciences
  6. Liyao Lyu, Zhen Zhang, Minxin Chen, Jingrun Chen. 2022. "MIM: A deep mixed residual method for solving high-order partial differential equations" Journal of Computational Physics
  7. Jingrun Chen, Shi Jin, Liyao Lyu. 2022. "A Consensus-Based Global Optimization Method with Adaptive Momentum Estimation" Communications in Computational Physics
  8. Jingrun Chen, Shi Jin, Liyao Lyu. 2022. " A Deep Learning Based Discontinuous Galerkin Method for Hyperbolic Equations with Discontinuous Solutions and Random Uncertainties" Journal of Computational Mathematics
  9. Liyao Lyu, Zheng Chen. 2022. "Local Discontinuous Galerkin Methods with Novel Basis for Fractional Diffusion Equations with Non-smooth Solutions" Communications on Applied Mathematics and Computation
  10. Liyao Lyu, Keke Wu, Rui Du,*, Jingrun Chen*. 2021. "Enforcing exact boundary and initial conditions in the deep mixed residual method" CSIAM Transactions on Applied Mathematics .
  11. Jingrun Chen, Rui Du, Panchi Li, and Liyao Lyu . 2021. “Quasi-Monte Carlo Sampling for Solving Partial Differential Equations by Deep Neural Networks” Numerical Mathematics Theory Methods and Applications. .
  12. Liyao Lyu , Zhiwen Zhang*, and Jingrun Chen*. 2020. “A Qmc-Deep Learning Method for Diffusivity Estimation in Random Domains.” Numerical Mathematics Theory Methods and Applications. .

© * represent the corresponding author..