Simpler Grassmannian optimization
Lai, Zehua, Lek-Heng Lim, and Ke Ye. "Simpler Grassmannian optimization." arXiv preprint arXiv:2009.13502 (2020).
CV
Education
- Since 2018, Ph.D. Candidate in Computational and Applied Mathematics, University of Chicago, Chicago, USA.
- 2014–2018, B.A. in Mathematics, B.A. in Economics and Finance, Tsinghua University, Beijing, China.
Publications
Recht-Ré noncommutative arithmetic-geometric mean conjecture is false
Lai, Zehua, and Lek-Heng Lim. "Recht-Ré noncommutative arithmetic-geometric mean conjecture is false." In International Conference on Machine Learning, pp. 5608-5617. PMLR, 2020.
Online Statistical Inference for Stochastic Optimization via Kiefer-Wolfowitz Methods
Chen, Xi, Zehua Lai, He Li, and Yichen Zhang. "Online Statistical Inference for Stochastic Optimization via Kiefer-Wolfowitz Methods." arXiv e-prints (2021): arXiv-2102.03389.
Haagerup Bound for Quaternionic Grothendieck Inequality
Shmuel Friedland, Zehua Lai, and Lek-Heng Lim. "Haagerup Bound for Quaternionic Grothendieck Inequality." arXiv e-prints (2021): arXiv-2212.00208.
Simpler Flag Optimization
Zehua Lai, Lek-Heng Lim, and Ke Ye. "Simpler Flag Optimization." arXiv e-prints (2021): arXiv-2212.00212.
Stochastic Steffensen Method
Minda Zhao, Zehua Lai, and Lek-Heng Lim. "Stochastic Steffensen Method." arXiv e-prints (2021): arXiv-2211.15310.
Online Statistical Inference for Contextual Bandits via Stochastic Gradient Descent
Chen, Xi, Zehua Lai, He Li, and Yichen Zhang. "Online Statistical Inference for Contextual Bandits via Stochastic Gradient Descent." preprints (2022).
Talks
On Matrix Arithmetic-Geometric Mean Inequality and Noncommutative Positivstellensatz.
Talk at Seminar, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing， China
On Matrix Arithmetic-Geometric Mean Inequality and Noncommutative Positivstellensatz.
Talk at AMS Fall Central Sectional Meeting, Special Session on Applications of Algebra and Geometry, University of Wisconsin-Madison, Madison, Madison, US
Stochastic Steffensen Method.
Talk at International Conference on Data Science, Fudan University, Shanghai， China
Recht-Re Noncommutative Arithmetic-Geometric Mean Conjecture is False.
Talk at 37th International Conference on Machine Learning, Online
Recht-Re Noncommutative Arithmetic-Geometric Mean Conjecture is False.
Talk at Algebraic Statistics Online Seminar, Online
Recht-Re Noncommutative Arithmetic-Geometric Mean Conjecture is False.
Talk at Sanya Workshop on Algebraic Geometry and Machine Learning, Online
Recht-Re Noncommutative Arithmetic-Geometric Mean Conjecture is False.
Talk at UCSD Optimization and Data Science Seminar, Online
Online Statistical Inference for Gradient-free Stochastic Optimization.
Talk at CAM Student Seminar, Online
Noncommutative positivstellensatz and stochastic gradient descent.
Talk at 4th Annual Meeting of the Texas Louisiana Section, South Padre Island, US
Online Statistical Inference for Stochastic Optimization via Kiefer-Wolfowitz Methods.
Talk at AMS Spring Central Sectional Meeting, Special Session on Mathematical Foundation of Data Science in Scientific Computing, Online
Simpler Grassmannian Optimization.
Talk at AMS Spring Central Sectional Meeting, Special Session on Numerical Linear Algebra, Online
Simpler Grassmannian optimization.
Talk at Joint Mathematics Meetings, International Linear Algebra Society Special Session on Matrix Analysis and Applications, Online
Embedding models for Grassmannians and flag manifolds.
Talk at The 2nd Young Topologist Seminar-BIMSA, Online
Teaching
Service
Organizer
- May 2021, SIAM LA21 Minisymposium on Linear Algebra and Differential Geometry
- Jun 2019, RTG Summer Lectures 2019 on Numerical Methods in Data Science and Deep Neural Networks, http://www.stat.uchicago.edu/events/rtg/
Referee
- IEEE Journal of Selected Topics in Signal Processing
- Journal of Machine Learning Research
- Linear and Multilinear Algebra
- Linear Algebra and its Applications
- Vietnam Journal of Mathematics
- Journal of Mathematical Physics
- Numerical Algorithms
- International Conference on Machine Learning
- Conference on Neural Information Processing Systems
- Numerical Linear Algebra with Applications
- Computational Geometry: Theory and Applications
- Transactions on Mathematical Software
- Applied Numerical Mathematics
- Journal of Symbolic Computation