Peng Li
Associate professor of Institute of Computational Mathematics.
Email：lp@lzu.edu.cn
Ph.D.China Academy of Engineering Physics, China,2019, Mathematics
Biography
Dr. Peng Li, was borned in in December 1988, in Xiangyang City of Hubei Province, China. He obtained his B.S., M.S., and Ph.D. degrees in Hubei Normal University, Xinjiang University, and China Academy of Engineering Physics in 2013, 2016, and 2019, respectively. He worked as a Postdoctoral Fellow at the City University of Hong Kong from September 2019 to September 2020. After that, he joined in Lanzhou University as an associate professor in December 2020. He also is a visiting scholar of Hong Kong Baptist University, the Chinese Academy of Sciences, Hong Kong University of Science and Technology, and so on.
Dr. Li’s research focuses on the theory and algorithm of Data Science and Machine Learning, including compressed sensing, low-rank matrix recovery, phase retrieval, robust PCA, and statistical parameter estimation. He has published more than 20 papers in many famous journals, such as Inverse Problems, Signal Process., Acta. Math. Sinica, J. Comput. Math. and so on.
Educational Background
(1) 2016.09-2019.06, Ph.D. in Mathematics, China Academy of Engineering Physics, China,
Adviser: Prof. Wengu CHEN
Dissertation: The Sparse Way: From Signal Recovery, to Image Reconstruction, and to Phase Retrieval.
(2) 2013.09-2016.06, M.S. in Mathematics, Xinjiang University, China.
Adviser: Prof. Jiang ZHOU
Dissertation: The Boundedness and Compactness of Commutator of Multilinear Fourier Multiplier operator on Morrey Space.
(3) 2009.09-2013.06, B.S. in Mathematics and Applied Mathematics, Hubei Normal University,
Adviser: Prof. Changsong HU
Dissertation: Lebesgue Dominated Convergence Theorem and its Applications.
Work Experience
(1) 2020.12-, Associate Profeesor in School of Mathematics and Statistics, Lanzhou University, China.
(2) 2023.09-2023.11, Visiting Scholar in Department of Mathematics, Hong Kong Universithy of Science and Technology, China.
(3) 2022.03-2022.05, Visiting Scholar in Academy of Mathematics and Systems Science, Chinese Academy of Sciences, China.
(4) 2019.09-2020.09, Postdoctoral Fellow in Department of Mathematics, City University of Hong Kong, China.
(5) 2018.12-2019.04, Research Assistant in Department of Mathematics, Hong
Kong Baptist University, China.
Social experience
(1) Reviewer of ``Math Review”;
(2) Reviewer for many journals such as Inverse Problems, Sci. Sin. Math., AIMS Mathematics, IEEE-Signal Process Letter, IEEE Trans. Geoscience Remote Sensing, Comput. Optim. Appl., J. Comput. Appl. Math., J. Sci. Comput., Advances in Mathematics (China), Calcolo. and so on.
Teaching and guiding the situation of graduate students
(a) Teaching:
Course for Ungraduate Students: Advanced Mathematics (2023,2024) ;
Course for Graduate Students: Optimization Theory and Algorithm (2021,2023,2024), Matrix Analysis and Computation (2023, 2024), High-Dimensional Data Analysis (2023),
High Dimensional Statistics (2024), High-Dimensional Probability (2024);
Self-motivated students are welcome to join my research group! Those who have a background in statistics, mathematics, or data science are welcome. Please feel free to contact me.
(b) My Graduate Students
2024-2028: Li-Ping Yin (Ph.D student under Co-supervised by Profs Ting Wei and Peng Li);
2024-2027: Qi-Bin Gao, Bai-Jie Wang；
2023-2026: Cheng-Zheng Wang, Xiang-Yu Zheng;
2022-2025: Jia-Xing He, Kun-Kai Wen;
2021-2025: Jiao Xu(Ph.D student under Co-supervised by Profs Bing Zheng and Peng Li);
2021-2024: Rui Gong (civil service in Jiuquan city of China), Li-Ping Yin (Ph.D student in Lanzhou Univerisity), Rui Shen (China General Nuclear Power Corporation);
(c) My Ungraduate Students
2024: Qi-Bing Gao (M.S. student in Lanzhou University), Qi-Yuan Zhuang (M.S. student in Southeast University)；
2023: Yun.-Hao Zhao (M.S. student in Chinese Academy of Sciences), Bo.-Yang Li (M.S. student in CUHK-Shenzhen);
2022: Yi.-Xuan Yang(Ph.D student in Zhejiang University), Cheng-Zheng Wang (M.S. student in Lanzhou University)；
2021: Yan.-Zun Meng (Ph.D student in Tsinghua Univerisity).
Project results
(a) Hosting the project ``Research on Sparse Signal Reconstruction based on the Binary Sparse Matrix", National Natural Science Foundation of China (No.12201268), 2023.01-2025.12.
(b) Hosting the project ``Theory and Distributed Algorithm of Graph Signal Reconstruction", Science and Technology Program of Gansu Province of China (No.21JR7RA511), 2021.11--2023.10.
(c) Attend in the project `` The theory and algorithm research of signal reconstruction and approximation based on incomplete information”, National Natural Science Foundation of China (No. 11871109), 2019.01--2022.12.
Research interests
(1) Data Science: Compressed Sensing, Low-rank Matrix Recovery, Phase Retrieval and so on.
(2) Machine Learning: Robust Principal Components Analysis, Statistical Parameter Estimation, Sparse Optimization and so on.
Publications
[1] Xu, Jiao, Peng Li*, and Bing Zheng. Matrix recovery from nonconvex regularized least absolute deviations. Inverse Problems 40 (2024): 065002.
[2] Yi-Ping Yin and Peng Li*, Oracle Inequalities for Corrupted Compressed Sensing Model, J. Comput. Math., 2024.
[3] Jiao Xu, Peng Li, Bing Zheng*, Two novel models with nuclear norm for robust matrix recovery, Signal Processing, 2024, 218: 109372.
[4] Peng Li*, Wengu Chen and Qiyu Sun, Inertial proximal ADMM for separable multi-block convex
optimization and its application to compressive affine phase retrieval, Acta. Math. Sinica, English Series, 39 (2023), 1459–1496.
[5] Peng Li, Pengbo Geng, and Huanmin Ge, Signal and Image Reconstruction with Tight Frames via Unconstrained $\ell_1-\alpha \ell_2$-Analysis Minimization,Signal Process, 203(2022), 108755.
[6] Huanmin Ge, and Peng Li*, The Dantzig selector: Recovery of signal via $\ell_1-\alpha \ell_2$ minimization, Inverse Problems, 38 (2021), 015006.
[7] Peng Li*, Wengu Chen and Michael K. Ng, Compressive total variation for image reconstruction and restoration, Comput. Math. Appl., 80 (2020), 874-893.
[8] Peng Li, Wengu Chen, Huanmin Ge and Michael K. Ng, $\ell_1-\alpha \ell_2$ minimization methods for signal and image reconstruction with impulsive noise removal, Inverse Problems, 36 (2020), 055009-1-055009-30.
[9] Pengbo Geng, Peng Li and Wengu Chen, An improved bound of cumulative coherence for signal recovery, Int. J. Wavelets Multiresolut. Inf. Process., 18 (2020) 1950053-1-1950053-11.
[10] Peng Li and Wengu Chen, Signal recovery under cumulative coherence, J. Comput. Appl. Math., 346 (2019), 399-417.
[11] Wengu Chen and Peng Li*, Truncated sparse approximation property and truncated $q$-norm minimization, Appl. Math. J. Chinese Univ., 34 (2019), 261-283.
[12] Ningning Li, Wengu Chen and Peng Li*, Stable recovery of signals from highly corrupted measurements, IEEE Access, 6 (2018), 62865-62873.
[13] Peng Li and Wengu Chen, Signal recovery under mutual incoherence property and oracle inequalities, Front Math. China, 13 (2018), 1369-1396.
[14] Songbai Wang and Peng Li, Multilinear operators on weighted amalgam-type spaces, Adv. Math. (China), 47 (2018), 881-905.
[15] Songbai Wang, Haiyan Zhou and Peng Li, Local Muckenhoupt weights on Gaussian measure spaces, J. Math. Anal. Appl., 438 (2016), 790-806.
[16] Peng Li and Jiang Zhou, Compactness of the commutator of multilinear Fourier multiplier operator on the Morrey Space, Acta Math. Vietnam., 41 (2016), 661-676.
[17] Peng Li and Jiang Zhou, Singular integral operators on new BMO and Lipschitz spaces of Homogeneous Type, J. Math. Res. Appl., 36 (2016), 97-108.
[18] Songbai Wang, Yinsheng Jiang and Peng Li, Weighted Morrey estimates for multilinear Fourier multiplier operators. Abstr. Appl. Anal., 2014, Article ID: 570450, 10 pages, doi: 10.1155/2014/570450.
[19] Jiang Zhou and Peng Li, Compactness of the commutator of multilinear Fourier multiplier operator on weighted Lebesgue space, J. Funct. Spaces, 2014, Article ID: 606504, 10 pages, doi: 10.1155/2014/606504.
Honor and Award
(1) 2019, Outstanding Graduate Student, China Academy of Engineering Physics.
(2) 2019, First-class Scholarship, China Academy of Engineering Physics , China.
(3) 2016, The Third Prize of The seventh Postgraduate Academic BBS in Xinjiang Uygur Autonomous Region, China.
(4) 2016, Outstanding Graduate of Xinjiang University, China.
(5) 2014, National Scholarship for Postgraduate Students, China.
Other information
My Web in Google Scholar https://scholar.google.com/citations?user=ucWJf9gAAAAJ&hl=zh-CN
My Web in ResearchGate https://www.researchgate.net/profile/Peng-Li-235
