Research
Research interest
My research focuses on tensor computation, optimization, and their applications; specific topics include:
Theories and computational algorithms for tensor computation.
Convex and polynomial optimization.
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