Research

Newton-CG methods for nonconvex unconstrained optimization with Hölder continuous Hessian. Chuan He, Heng Huang, Zhaosong Lu, Mathematics of Operations Research, 2025.  Link

A Newton-CG based barrier-augmented Lagrangian method for general nonconvex conic optimization. Chuan He, Heng Huang, Zhaosong Lu, Computational Optimization and Applications 89 (3), 843-894, 2024.  Link

Federated learning with convex global and local constraints. Chuan He, Le Peng, Ju Sun, Transactions on Machine Learning Research, 2024.  Link

Decision rule approaches for pessimistic bilevel linear programs under moment ambiguity with facility location applications. Akshit Goyal, Yiling Zhang, Chuan He, INFORMS Journal on Computing 35 (6), 1342-1360, 2023.  Link

A Newton-CG based augmented Lagrangian method for finding a second-order stationary point of nonconvex equality constrained optimization with complexity guarantees. Chuan He, Zhaosong Lu, Ting Kei Pong, SIAM Journal on Optimization 33 (3), 1734-1766, 2023.  Link

A Newton-CG based barrier method for finding a second-order stationary point of nonconvex conic optimization with complexity guarantees. Chuan He, Zhaosong Lu, SIAM Journal on Optimization 33 (2), 1191-1222, 2023.  Link

A parameter-free conditional gradient method for composite minimization under Hölder condition. Masaru Ito, Zhaosong Lu, Chuan He, Journal of Machine Learning Research 24 (166), 1-34, 2023.  Link