Preprints:
[P2] Expressive Power of Graph Neural Networks for (Mixed-Integer) Quadratic Programs
Ziang Chen, Xiaohan Chen, Jialin Liu, Xinshang Wang, and Wotao Yin
[ArXiv]
[P1] Exact and efficient representation of totally anti-symmetric functions
Ziang Chen and Jianfeng Lu
[ArXiv]
Refereed Journal Papers:
[J8] Fully discretized Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem
Ziang Chen, Jianfeng Lu, Yulong Lu, and Xiangxiong Zhang
Mathematics of Computation, to appear [ArVix]
[J7] One-dimensional tensor network recovery
Ziang Chen, Jianfeng Lu, and Anru R. Zhang
SIAM Journal on Matrix Analysis and Applications, 45(3), 1217 – 1244 (2024) [Journal] [ArXiv]
[J6] On the convergence of Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem
Ziang Chen, Jianfeng Lu, Yulong Lu, and Xiangxiong Zhang
SIAM Journal on Numerical Analysis, 62(2), 667-691 (2024) [Journal] [ArXiv]
[J5] Representation theorem for multivariable totally symmetric functions
Chongyao Chen, Ziang Chen, and Jianfeng Lu
Communications in Mathematical Sciences, 22(5), 1195-1201 (2024) [Journal] [ArXiv]
[J4] On the global convergence of randomized coordinate gradient descent for nonconvex optimization
Ziang Chen, Yingzhou Li, and Jianfeng Lu
SIAM Journal on Optimization, 33(2), 713-738 (2023) [Journal] [ArXiv]
[J3] A regularity theory for static Schr\”odinger equations on $\mathbb{R}^d$ in spectral Barron spaces
Ziang Chen, Jianfeng Lu, Yulong Lu, and Shengxuan Zhou
SIAM Journal on Mathematical Analysis, 55(1), 557-570 (2023) [Journal] [ArXiv]
[J2] A trust-region method for nonsmooth nonconvex optimization
Ziang Chen, Andre Milzarek, and Zaiwen Wen
Journal of Computational Mathematics, 41(4), 683-716 (2023) [Journal] [ArXiv]
[J1] Tensor ring decomposition: optimization landscape and one-loop convergence of alternating least squares
Ziang Chen, Yingzhou Li, and Jianfeng Lu
SIAM Journal on Matrix Analysis and Applications, 41(3), 1416-1442 (2020) [Journal] [ArXiv]
Refereed Conference Papers:
[C9] Rethinking the capacity of graph neural networks for branching strategy
Ziang Chen, Jialin Liu, Xiaohan Chen, Xinshang Wang, and Wotao Yin
Advances in Neural Information Processing Systems (NeurIPS) 2024 [ArXiv]
[C8] Mean-field analysis for learning subspace-sparse polynomials with Gaussian input
Ziang Chen and Rong Ge
Advances in Neural Information Processing Systems (NeurIPS) 2024 [ArXiv]
[C7] Certified machine unlearning via noisy stochastic gradient descent
Eli Chien, Haoyu Wang, Ziang Chen, and Pan Li
Advances in Neural Information Processing Systems (NeurIPS) 2024 [ArXiv]
[C6] Langevin unlearning: a new perspective of noisy gradient descent for machine unlearning
Eli Chien, Haoyu Wang, Ziang Chen, and Pan Li
Advances in Neural Information Processing Systems (NeurIPS) 2024 (spotlight) [ArXiv]
[C5] Efficient algorithms for sum-of-minimum optimization
Lisang Ding, Ziang Chen, Xinshang Wang, and Wotao Yin
International Conference on Machine Learning (ICML) 2024 [Proceedings] [ArXiv]
[C4] On representing mixed-integer linear programs by graph neural networks
Ziang Chen, Jialin Liu, Xinshang Wang, Jianfeng Lu, and Wotao Yin
International Conference on Learning Representations (ICLR) 2023 [Proceedings] [ArXiv]
[C3] On representing linear programs by graph neural networks
Ziang Chen, Jialin Liu, Xinshang Wang, Jianfeng Lu, and Wotao Yin
International Conference on Learning Representations (ICLR) 2023 (spotlight) [Proceedings] [ArXiv]
[C2] HeteRSGD: tackling heterogeneous sampling costs via optimal reweighted stochastic gradient descent
Ziang Chen, Jianfeng Lu, Huajie Qian, Xinshang Wang, and Wotao Yin
International Conference on Artificial Intelligence and Statistics (AISTATS) 2023 [Proceedings]
[C1] On the representation of solutions to elliptic PDEs in Barron spaces
Ziang Chen, Jianfeng Lu, and Yulong Lu
Advances in Neural Information Processing Systems (NeurIPS) 2021 (spotlight) [Proceedings] [ArXiv]
Others:
[O1] Mathematical analysis of high-dimensional algorithms and models
Ziang Chen
Ph.D. Dissertation, Duke University, 2023 [DukeSpace] [ProQuest]
