Xiao Pei Jiao
Assistant Professor
Group: Statistics, Probability and Data Science
Office: A1-206
Email: jiaoxiaopei@bimsa.cn
Research Field: Filtering theory, Numerical PDE, Physics-Informed machine learing
Biography
Xiaopei Jiao received his bachelor's degree from the Zhiyuan College of Shanghai Jiao Tong University and his Ph.D. from the Department of Mathematical Sciences at Tsinghua University. He subsequently worked as a postdoctoral researcher at the Beijing Institute of Mathematical Sciences and Applications (BIMSA) and at the University of Twente in the Netherlands. His current research interests include finite-dimensional filtering theory, Yau-Yau filtering methods, physics-informed neural networks, and bioinformatics. His research focuses primarily on: (1) using geometric tools such as Lie algebras for solving partial differential equations and classifying nonlinear systems; (2) designing novel numerical algorithms based on physics-informed neural networks.
Research Interest
- Finite dimensional filter
- Yau-Yau filtering method
- Physics-Informed neural network
- Bioinformatics
Education Experience
- 2013 - 2017 Shanghai Jiao Tong University Physics B.Sc. (Supervisor: Prof. David Shen-Ou Cai)
- 2017 - 2022 Tsinghua University Mathematics Ph.D (Supervisor: Prof. Stephen S.-T. Yau, IEEE life fellow)
Work Experience
- 2024 - 2024 University of Twente Postdoctoral researcher
- 2022 - 2024 Beijing Institute of Mathematical Sciences and Applications Postdoctoral researcher
Honors and Awards
- 2014 First prize in the Chinese Physics Competitions
- 2014 First prize in the Chinese Mathematics Competitions
- 2015 Meritourious Award in the Mathematical Contest in Modeling (MCM), U.S.
- 2021 First class scholarship, Tsinghua University.
Publication
- [1] Jiao, X.*, Ji Shi* & Yau, S. S. T., Explicit series solution of linear time-varying Schrodinger equation and its application in nonlinear filter, submitted to IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2024)
- [2] Kang, J., Jiao, X., & Yau, S. S. T., Estimation of the Linear System via Optimal Transportation and Its Application for Missing Data Observations., submitted to IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2024)
- [3] Shi, J.*, Jiao, X.*, & Yau, S. S.-T., A Novel Logarithmic Transformed Deep Galerkin Approach to Optimal Filtering Problem, accepted by Proceeding of 2024 IEEE 63rd Conference on Decision and Control (CDC) (2024)
- [4] Shi, J.*, Jiao, X.* and Stephen S.-T. Yau, DGLG: A deep Generalized Legendre-Galerkin approach to optimal filtering problem., IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2024)
- [5] Jiao, X., & Xiong, F., GsPINN: A novel fast Green kernel solver based on symmetric Physics-Informed neural networks., submitted to NEUROCOMPUTING (2024)
- [6] Jiao, X., & Yau, S. S. T., Weak form Mitter conjecture on nonmaximal rank estimation algebra: state dimension 4 and rank 3., accepted by Journal of Systems Science & Complexity (2024)
- [7] Lai, X.*, Jiao, X.*, Zhang, H., & Lei, J., Computational modeling reveals key factors driving treatment-free remission in chronic myeloid leukemia patients, npj Systems Biology and Applications (2024)
- [8] Yu, H., Jiao, X., & Yau, S. S. T., Complete Classification of Finite Dimensional Estimation Algebras with State Dimension N, Linear Rank n-1 and Constant Wong Matrix., IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2023)
- [9] Jiao, X. and Stephen S.-T. Yau, Finite-dimensional estimation algebra on arbitrary state dimension with nonmaximal rank: linear structure of Wong matrix., INTERNATIONAL JOURNAL OF CONTROL (2023)
- [10] Kang, J., Jiao, X., & Yau, S. S. T., Finite Dimensional Estimation Algebra for Time-Varying Filtering System and Optimal Transport Particle filter: A Tangent Flow Point of View., IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS (2023)
- [11] Zhang, C.*, Shao, C.*, Jiao, X.*, Bai, Y., Li, M., Shi, H., Lei, J., Zhong, X., Individual cell‐based modeling of tumor cell plasticity‐induced immune escape after CAR‐T therapy, Computational and Systems Oncology (2021)
- [12] Jiao, X., Pei, S., Sun, Z., Kang, J., & Yau, S. S. T., Determination of the nucleotide or amino acid composition of genome or protein sequences by using natural vector method and convex hull principle., FUNDAMENTAL RESEARCH (2021)
- [13] Jiao, Xiaopei, and Stephen S-T. Yau, Structure of finite dimensional exact estimation algebra on state dimension 3 and linear rank 2., INTERNATIONAL JOURNAL OF CONTROL (2021)
- [14] Jiao, X., & Yau, S. S. T., New classes of finite dimensional filters with nonmaximal rank estimation algebra on state dimension n and linear rank n-2, SIAM JOURNAL ON CONTROL AND OPTIMIZATION (2020)
- [15] Jiao, X., & Lei, J., Dynamics of gene expression based on epigenetic modifications., Communications in Information and Systems (2018)
Update Time: 2025-03-28 01:57:08