Develop frameworks to automatically design and optimize numerical algorithms, including differential equation solvers, eigenvalue solvers and so on. Methodologies includes leveraging reinforcement learning and hyperparameter optimization to improve efficiency, accuracy, and adaptability without heavy reliance on expert tuning.
S Liang and H Yang, Finite expression method for solving high-dimensional partial differential equations, Journal of Machine Learning Research, Accepted and In Production (2025)
G Hardwick, S Liang and H Yang, Solving High-Dimensional Partial Integral Differential Equations: The Finite Expression Method, Journal of Computational Physics 114273 (2025)
J Du (Undergrad student), S Liang and C Wang, Learning Epidemiological Dynamics via the Finite Expression Method, Journal of Machine Learning for Modeling and Computing (2025)
S Liang, L Zhu, C Yang and X Li, Artificial-Intelligence-Driven Shot Reduction in Quantum Measurement, Chemical Physics Reviews, Volume 5, 041403 (2024)
S Liang, AN Singh, Y Zhu, DT Limmer and C Yang, Probing Reaction Channels via Reinforcement Learning, Machine Learning: Science and Technology 4 (4) (2023)
Investigate neural architectures and representation learning techniques that uncover hidden structures in scientific data. The goal is to build interpretable, data-efficient models that accelerate PDE solvers and bridge the gap between traditional numerical methods and machine learning.
S Liang, K Kowalski, C Yang, NP Bauman, Exploring the Nexus of Many-Body Theories through Neural Network Techniques: the Tangent Model, Machine Learning: Science and Technology 6, 025040 (2025)
S Liang, K Kowalski, C Yang and NP Bauman, Effective Many-body Interactions in Reduced-Dimensionality Spaces through NNs, Physical Review Research 6, 043287 (2024)
Z Huang, S Liang, M Liang, A Generic Shared Attention Mechanism for Various Backbone Neural Networks, Neurocomputing, Volume 611, 128697 (2024)
S Liang, L Lyu, C Wang and H Yang, Reproducing Activation Function for Deep Learning, Communications in Mathematical Sciences, 22 (2), 285 – 314 (2024)
Z Huang, S Liang, H Yang, L Lin, On Fast Simulation of Dynamical System with Neural Vector Enhanced Numerical Solver, Scientific reports 13 (1), 15254 (2023)
J Xue, N Jiang, S Liang, Q Pang, T Yabe, SV Ukkusuri and J Ma, Quantifying Spatial Homogeneity of Urban Road Networks via Graph Neural Networks, Nature Machine Intelligence 4 (cover paper) (2022)
Apply advance machine learning techniques tailored for scientific computing, including large langauage models, diffusion models, regularization technique and so on.
Z Huang, S Liang, M Liang, A Generic Shared Attention Mechanism for Various Backbone Neural Networks, Neurocomputing, Volume 611, 128697 (2024)
S Liang, SW Jiang, J Harlim and H Yang, Solving PDEs on Unknown Manifolds with Machine Learning, Applied and Computational Harmonic Analysis, Volume 71, 101652 (2024)
S Liang, L Lyu, C Wang and H Yang, Reproducing Activation Function for Deep Learning, Communications in Mathematical Sciences, 22 (2), 285 – 314 (2024)
H Bassi, Y Zhu, S Liang, J Yin, CC Reeves, V Vlcek and C Yang, Learning Nonlinear Integral Operators via Recurrent Neural Networks and Its Application, Machine Learning with Applications 15, 100524 (2024)
Y Gu, J Harlim, H Yang and S Liang, Stationary Density Estimation of Ito Diffusions Using Deep Learning, SIAM Journal on Numerical Analysis 61 (1), 45-82 (2023)
J Harlim, SW Jiang, S Liang and H Yang, Machine Learning for Prediction with Missing Dynamics, Journal of Computational Physics 428, 109922 (2021)
S Liang, Y Khoo and H Yang, Drop-Activation: Implicit Parameter Reduction and Harmonic Regularization, Communications on Applied Mathematics and Computation 3, 293-311 (2020)
Z Huang, M Liang, S Liang and S Zhong, Flat Local Minima for Continual Learning on Semantic Segmentation, International Conference on Multimedia Modeling 2025 (Best paper finalist)
Z Huang, S Liang, M Liang, W He, H Yang and L Lin, Lottery Ticket Hypothesis for Attention Mechanism in Residual Convolutional Neural Network, IEEE International Conference on Multimedia & Expo 2024
S Liang, Z Huang and H Zhang, Stiffness-aware Neural Network for Learning Hamiltonian Systems, International Conference on Learning Representations 2022
W He, Z Huang, M Liang, S Liang and H Yang, Blending Pruning Criteria for Convolutional Neural Networks, International Conference on Artificial Neural Networks 2021
Z Huang, S Liang, M Liang and H Yang, DIANet: Dense-and-Implicit Attention Network, Proceedings of the AAAI Conference on Artificial Intelligence 2020
S Liang, Z Huang, M Liang and H Yang, Instance Enhancement Batch Normalization: An Adaptive Regulator for Batch Noise, Proceedings of the AAAI Conference on Artificial Intelligence 2020