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 born in December 1988 in Xiangyang of China. He received his Bachelor's degree from Hubei Normal University in 2013, Master's degree from Xinjiang University in 2016, and Ph.D. degree from the China Academy of Engineering Physics in 2019.From September 2019 to September 2020, Dr. Li conducted postdoctoral research at City University of Hong Kong. In December 2020, he joined the School of Mathematics and Statistics at Lanzhou University as an Associate Professor. Dr. Li has held extended academic visits at Hong Kong Baptist University, the Academy of Mathematics and Systems Science (Chinese Academy of Sciences), and the Hong Kong University of Science and Technology.
The team's current research focuses on the theory and intelligent algorithms for data science and network communications, including network tomography, outlier detection and identification, compressed sensing, phase retrieval, low-rank matrix recovery, robust principal component analysis, statistical parameter estimation, and sparse optimization. In these areas, the team has achieved a series of accomplishments, with over 20 papers published in prestigious journals such as IEEE Transactions on Information Theory, Inverse Problems, Signal Processing, Inverse Problems and Imaging, Acta Mathematica Sinica, and Journal of Computational Mathematics.
In addition, several students under the team's supervision have been awarded the China National Scholarship and Outstanding Graduate Projects. Many graduates have pursued further studies at universities or joined corporate research and development positions.
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
(a1) Course for Ungraduate Students: Advanced Mathematics (2023,2024,2025); Introduction to Artificial Intelligence(2026)
(a2) Course for Graduate Students: Optimization Theory and Algorithm (2021,2023,2024,2025), Matrix Analysis and Computation (2023, 2024), High Dimensional Statistics (2024,2025), High-Dimensional Probability (2024,2026), High-Dimensional Data Analysis (2023,2026),
High-Dimensional Convex Geometry (2025), Algebraic Geometry(2025), Statistical Machine Learning (2022,2023);
(b) Graduate and PhD. Students in the Team
2025-2028: Jia-Yu Wang, Su-Yu Hu,Xu-Fan Dong, Zhao-Hui Li
2024-2028: Li-Ping Yin (Ph.D student under Co-supervised by Profs Ting Wei and Peng Li, Outstanding Graduate Student Innovation Project at 2024);
2024-2027: Qi-Bin Gao, Bai-Jie Wang；
2023-2026: Cheng-Zheng Wang (Published One Paper on IEEE-TIT, Now: Ph.D student in Xi’an Jiaotong Univerisity), Xiang-Yu Zheng;
2022-2025:Kun-Kai Wen (Chinese National Scholarship of at 2024, Outstanding M.S. of Lanzhou University, Now: Ph.D student in Fudan Univerisity), Jia-Xing He (Now: China General Nuclear Power Corporation);
2021-2025: Jiao Xu(Ph.D student under Co-supervised by Profs Bing Zheng and Peng Li, Chinese National Scholarship at 2024, Outstanding Ph.D. of Gansu Province, Now: Lecturer in Hubei Normal University);
2021-2024: Rui Gong (Now: Statistical Bureau of Jiuquan City of China), Li-Ping Yin (Now：Ph.D student in Lanzhou Univerisity), Rui Shen (Now: China General Nuclear Power Corporation);
(c) Ungraduate Students in the Team
2026：Feng-Xi Xue (Strong Foundation Program at Lanzhou University), Bo-Han Huang (M.S. student in Lanzhou University)
2024: Qi-Bing Gao (M.S. student in Lanzhou University), Qi-Yuan Zhuang (M.S. student in Southeast University)；
2023:Yun.-Hao Zhao (Ph.D 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).
(d)Join the "Intelligent Optimization and High-Dimensional Information Processing" Team at Lanzhou University!
Each year, our team supervises undergraduate theses and recruits master's students in two directions: Mathematics and Applied Statistics. We welcome applications from motivated students with undergraduate backgrounds in Statistics, Mathematics, Data Science, or Artificial Intelligence. If you are self-driven and passionate about research, please feel free to contact me via email to join the "Intelligent Optimization and High-Dimensional Information Processing" Team at Lanzhou University.
(i) What We Offer: Personalized Research Guidance: Each student (undergraduate and master's) will be provided with an independent research problem and receive close supervision throughout the entire research process. Academic Resources: We provide access to excellent academic resources and ensure that every student has the opportunity to attend at least one academic conference. Computing Facilities: The team is equipped with two servers to support research and computing needs.
(ii) Our Achievements: All graduated undergraduates have pursued further studies. Graduated master's students have secured excellent career placements. Current master's students and co-supervised Ph.D. candidates have achieved remarkable academic progress, with many receiving the China National Scholarship and Outstanding Graduate Project awards.
Contact: lp@lzu.edu.cn
Project results
(a) Attend in the project “The Mathematical Theory and High Performance Algorithm for Three Classess of Large-scale Sparse Phase Recovery Problems”, National Natural Science Foundation of China (No. 12471353), 2025.01-2028.12.
(b) 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.
(c) 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.
(d) 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) Optimization Theory and Methods for High-Dimensional Data Reconstruction:
Compressed Sensing, Low-Rank Matrix Recovery, Phase Retrieval, Sparse Optimization
(2) Network Communications and Intelligent Information Processing:
Network Delay/Loss Rate Estimation, Network Topology Inference, Optimal Design of Measurement Systems, Statistical Inference for Channel Coding
(3) High-Dimensional Statistical Learning and Intelligent Algorithms:
Robust Principal Component Analysis (RPCA), High-Dimensional Statistical Parameter Estimation, Sparse Modeling, Reinforcement Learning
Publications
[1] Cheng-Zheng Wang; Rui Gong; Peng Li; Huanmin Ge; Michael K. Ng*; New Theoretical Results for LAD-Based Sparse Recovery Using Expanders, IEEE Transactions on Information Theory, 2026,DOI: 10.1109/TIT.2026.3665352
[2] Peng Li; Lixin Shen*; Kun-Kai Wen; Robust Penalized Dantzig Selector: Error Analysis, Oracle Inequalities, and Algorithmic Efficiency, Inverse Problems and Imaging, 2026,DOI: 10.3934/ipi.2026023
[3] Kun-Kai Wen, Jia-Xin He, and Peng Li*, Sparse recovery using expanders via hard thresholding algorithm, Signal Processing 227 (2025) 109715.
[4] Yi-Ping Yin and Peng Li*, Oracle Inequalities for Corrupted Compressed Sensing Model, J. Comput. Math., 43 (2025), 461–492
[5] Xu, Jiao, Peng Li*, and Bing Zheng. Matrix recovery from nonconvex regularized least absolute deviations. Inverse Problems 40 (2024): 065002.
[6] Jiao Xu, Peng Li, Bing Zheng*, Two novel models with nuclear norm for robust matrix recovery, Signal Processing, 2024, 218: 109372.
[7] 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.
[8] 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.
[9] Huanmin Ge, and Peng Li*, The Dantzig selector: Recovery of signal via $\ell_1-\alpha \ell_2$ minimization, Inverse Problems, 38 (2021), 015006.
[10] Peng Li*, Wengu Chen and Michael K. Ng, Compressive total variation for image reconstruction and restoration, Comput. Math. Appl., 80 (2020), 874-893.
[11] 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.
[12] 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.
[13] Peng Li and Wengu Chen, Signal recovery under cumulative coherence, J. Comput. Appl. Math., 346 (2019), 399-417.
[14] Wengu Chen and Peng Li*, Truncated sparse approximation property and truncated $q$-norm minimization, Appl. Math. J. Chinese Univ., 34 (2019), 261-283.
[15] Ningning Li, Wengu Chen and Peng Li*, Stable recovery of signals from highly corrupted measurements, IEEE Access, 6 (2018), 62865-62873.
[16] Peng Li and Wengu Chen, Signal recovery under mutual incoherence property and oracle inequalities, Front Math. China, 13 (2018), 1369-1396.
[17] Songbai Wang and Peng Li, Multilinear operators on weighted amalgam-type spaces, Adv. Math. (China), 47 (2018), 881-905.
[18] Songbai Wang, Haiyan Zhou and Peng Li, Local Muckenhoupt weights on Gaussian measure spaces, J. Math. Anal. Appl., 438 (2016), 790-806.
[19] 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.
[20] 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.
[21] 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.
[22] 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) 2025，Excellent Master's Thesis Supervisor at Lanzhou University.
(2) 2024, Outstanding Supervisor of Undergraduate Thesis at Lanzhou University.
(3) 2019, Outstanding Graduate Student of China Academy of Engineering Physics.
(4) 2019, First-class Scholarship of China Academy of Engineering Physics.
(5) 2016, The Third Prize of The seventh Postgraduate Academic BBS in Xinjiang Uygur Autonomous Region.
(6) 2016, Outstanding Graduate of Xinjiang University.
(7) 2014, National Scholarship for Postgraduate Students of 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
