人员简介

李建泽

职务/职称

深圳市大数据研究院基础理论与算法研究所助理所长

研究方向

张量优化,流形优化,信号处理

电子邮箱

lijianze@gmail.com

教育背景

南开大学陈省身数学研究所博士

南开大学数学科学学院硕士

河北工业大学数学系学士

个人介绍

李建泽于2019年5月至今,在深圳市大数据研究院工作,任职研究科学家。在此之前,他于2013年6月毕业于南开大学陈省身数学研究所,获得博士学位;于2013年7月至2018年1月在天津大学数学学院工作,任职讲师;于2016年9月至2018年8月在法国Université Grenoble Alpes的GIPSA-Lab先后进行学术访问和博士后研究;于2018年9月至2019年4月在加拿大Ryerson大学进行学术访问。他已在SIMAX, SIOPT,JMAA等SCI期刊上发表科研论文10余篇,完成国家自然科学基金青年基金一项,现主持广东省面上基金一项,及深圳市大数据研究院基础研究项目一项。

代表性论文

1. Preprints:

[1] Zhou Sheng, Jianze Li, Qin Ni. Jacobi-type algorithms for homogeneous polynomial optimization on Stiefel manifolds with applications to tensor approximations. arXiv:2110.01886, 2021.

[2] Jianze Li, Shuzhong Zhang. Polar decomposition based algorithms on the product of Stiefel manifolds with applications in tensor approximation. arXiv:1912.10390v2, 2020.

[3] Jianze Li, Konstantin Usevich, Pierre Comon. Gradient based block coordinate descent algorithms for joint approximate diagonalization of matrices. arXiv:2009.13377, 2020.

 

2. Publications

[1] Jianze Li, Konstantin Usevich, Pierre Comon. Jacobi-type algorithm for low rank orthogonal approximation of symmetric tensors and its convergence analysis.  Pacific Journal of Optimization, 17(3), 357–379, 2021.

[2] Konstantin Usevich, Jianze Li, Pierre Comon. Approximate matrix and tensor diagonalization by unitary transformations: convergence of Jacobi-type algorithms. SIAM Journal on Optimization, 30(4), 2998–3028, 2020.

[3] Jianze Li, Konstantin Usevich, Pierre Comon. On the convergence of Jacobi-type algorithms for Independent Component Analysis. Proc. IEEE SAM, 2020.

[4] Jianze Li, Konstantin Usevich, Pierre Comon. On approximate diagonalization of third order symmetric tensors by orthogonal transformations. Linear Algebra and its Applications, 576, 324-351, 2019.

[5] Jianze Li, Konstantin Usevich, Pierre Comon. Globally convergent Jacobi-type algorithms for simultaneous orthogonal symmetric tensor diagonalization. SIAM Journal on Matrix Analysis and Applications, 39(1), 1-22, 2018.

[6] Jianze Li, Xiao-Ping Zhang, Tuan Tran. Point cloud denoising based on tensor Tucker decomposition. Proc. IEEE ICIP, 2019.

[7] Guang-Gui Ding, Jianze Li. Isometric extension problem between strictly convex two-dimensional normed spaces. Acta Mathematica Sinica, English Series, 35(4), 513-518, 2019.

[8] Jianze Li. Mazur–Ulam property of the sum of two strictly convex Banach spaces. Bulletin of the Australian Mathematical Society, 93(3), 473-485, 2016.

[9] Li Liu, Jianze Li. Quotient and pseudo unit in nonunital operator system. Bulletin of the Australian Mathematical Society, 92(1), 123-132, 2015.

[10] Guang-Gui Ding, Jianze Li. Isometries between unit spheres of the l^\infty-sum of strictly convex normed spaces. Bulletin of the Australian Mathematical Society, 88(3), 369-375, 2013.

[11] Guang-Gui Ding, Jianze Li. Sharp corner points and isometric extension problem in Banach spaces. Journal of Mathematical Analysis and Applications, 405(1), 297-309, 2013.

[12] Jianze Li, Chi-Keung Ng. Tensor products for non-unital operator systems. Journal of Mathematical Analysis and Applications, 396(2), 601-605, 2012.

[13] Jianze Li. Possibly non-unital operator system structures on a possibly non-unital function system. Frontiers of Mathematics in China, 7(5), 847-855, 2012.