Zi Yang
Assistant Professor in Department of Mathematics and Statistics at University at Albany SUNY.
Address: Department of Mathematics and Statistics, Catskill 397, University at Albany, Albany, NY 12222
Phone: 858-405-4695
Email: zyang8@albany.edu
Here is my google scholar.
Education
Ph.D., Mathematics, University of California San Diego, CA, USA, 2016-2021. (Advisor: Prof. Jiawang Nie)
B.S., Mathematics, University of Science and Technology of China, China, 2012-2016.
Research interest
Tensor computation and optimization. Specific topics include:
Theories and algorithms for tensor computation.
Convex and polynomial optimization.
Teaching experience
Instructor (University at Albany):
AMAT 591: Optimization Methods and Nonlinear Programming, Spring 2024
AMAT 502: Modern Computing for Mathematicians, Fall 2023
Instructor (UC San Diego):
MATH 10C: Calculus III (Vector Calculus), Spring 2020 (Recommendation Rate: 87.2%)
MATH 20D: Introduction to Differential Equations, Winter 2020 (Recommendation Rate: 82.1%)
Papers
Under review and in preparation:
Hardware-Efficient CP Tensor Decomposition via Mixed-Precision Stochastic Gradient Descent, with J. Shan, Z. Zhang, under revision.
Diagonal Gaussian Mixture Models and Higher Order Tensor Decompositions, with J. Nie and B. Guo, under revision.
Published:
The Multi-Objective Polynomial Optimization, with J. Nie, Mathematics of Operations Research, 2024.
Quantization-aware and tensor-compressed training of transformers for natural language understanding, with S. Choudhary, S. Kunzmann, Z. Zhang, Interspeech 2023.
Dehomogenization for Completely Positive Tensors, with J.Nie, X.Tang, S. Zhong, Numerical Algebra, Control and Optimization, 2022
Learning Diagonal Gaussian Mixture Models and Incomplete Tensor Decompositions, with B. Guo, J. Nie, Vietnam Journal of Mathematics, Vol. 50, pp. 421-446, 2022.
Separability of Hermitian Tensors and PSD Decompositions, with M. Dressler, J. Nie, Linear and Multilinear Algebra, pp. 1-28, 2021.
The Saddle Point Problem of Polynomials, with J. Nie, G. Zhou, Foundations of Computational Mathematics, Vol. 22, pp. 1133-1169, 2022.
Hermitian Tensor Decompositions, with J. Nie, SIAM Journal on Matrix Analysis and Applications 41(3), pp. 1115-1144, 2020.
A Complete Semidefinite Algorithm for Detecting Copositive Matrices and Tensors, with J. Nie, X. Zhang, SIAM Journal on Optimization 28(4), pp. 2902-2921, 2018.
An Algorithm for Low-rank Matrix Factorization and its Applications, with B. Chen and Z. Yang, Neurocomputing 275, pp. 1012-1020, 2018