1) Nonlinear Programming and its Applications 2) Machine Learning 3) Matrix Optimization

1) Yu-Hong Dai, Yakui Huang, Xin-Wei Liu. A family of spectral gradient methods for optimization. Computational Optimization and Applications, 74(1): 43-65, 2019. 2) Yakui Huang, Hongwei Liu. Smoothing projected Barzilai–Borwein method for constrained non- Lipschitz optimization. Computational Optimization and Applications, 65(3): 671-698, 2016. 3) Yakui Huang, Hongwei Liu, Shuisheng Zhou. Quadratic regularization projected Barzilai–Borwein method for nonnegative matrix factorization. Data mining and Knowledge Discovery, 29(6): 1665-1684, 2015. 4) Yakui Huang, Hongwei Liu. On the rate of convergence of projected Barzilai–Borwein methods. Optimization Methods & Software, 30(4): 880-892, 2015. 5) Yakui Huang, Hongwei Liu. A Barzilai–Borwein type method for minimizing composite functions. Numerical Algorithms, 69(4): 819-838, 2015.