### Simpler Grassmannian optimization

Lai, Zehua, Lek-Heng Lim, and Ke Ye. "Simpler Grassmannian optimization." arXiv preprint arXiv:2009.13502 (2020).

- 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.

### Simpler Grassmannian optimization

Lai, Zehua, Lek-Heng Lim, and Ke Ye. "Simpler Grassmannian optimization." arXiv preprint arXiv:2009.13502 (2020).

### 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).

### 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

- 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/

- 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