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About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Administration
Academic Support
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
Students
Events
Conferences
Workshops
Forum
Life @ BIMSA
Accommodation
Transportation
Facilities
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News
News
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Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > Jiayi Kang

Jiayi Kang

     Assistant Professor    
Assistant Professor Jiayi Kang

Group: Geometry, Intelligent Control, and Bioinformatics Interdisciplinary

Office: A12-108

Email: kangjiayi@bimsa.cn

Research Field: Control, Filtering, Machine Learing

Research Interest


  • Control: Numerical method for linear and nonlinear control problem, Feedback control for dynamical system, Manifold-based control problem
  • Filtering and Sampling: Particle method and Optimal transportation structure for filtering problems, Filtering on Manifold, Varitional inference, Sampling method based on Wasserstein geometry
  • Machine Learning and Deep Learning: Approximation capability and representability for neural networks, Adversarial attacks and Robustness, Control-based Neural networks, Physics-informed Neural networks, Online learning and sequence inference.
  • Numerical methods for PDE and SPDE Analysis for Galerkin method, Numerical scheme for SPDE and PDE.
  • Bioinformatics: Classification of the genome and protein, Protein Structure.

Education Experience


  • 2019 - 2024      Tsinghua University      Mathematics      Ph.D      (Supervisor: Stephen Shing-Toung Yau)
  • 2015 - 2019      Sichuan University      Mathematics and Applied Mathematics      Bachelor

Work Experience


  • 2024 - 2025      BIMSA      Assistant Professor

Publication


  • [1] Xiang Shi, Jiayi Kang, Nan Sun, Xin Zhao, Stephen S.-T. Yau, Multi-perspective Natural Vector for Virus Feature Description, accepted by Journal of computational biology (2025)
  • [2] Yikun Li, Jiayi Kang, Tong Guo, Wanrun Xia, Yao Mao, On Extended State Based Maximum Correntropy Kalman Filter, accepted by IEEE control systems letters (2025)
  • [3] Jiayi Kang, Xiuqiong Chen, and Stephen S.-T. Yau, Explicit Convergence analyses of PDE-based filtering algorithms, SIAM Journal on Control and Optimaization (2025)
  • [4] Ruifeng Dong*, Ming Wang*, Ning Liu, Tong Guo, Jiayi Kang#, Xiaojing Shen, Yao Mao , DIFNet: Decentralized Information Filtering Fusion Neural Network with Unknown Correlation in Sensor Measurement Noises, IEEE Transactions on Neural Networks and Learning Systems (2025)
  • [5] Qin Chang,Jiayi Kang#, Tong Guo, Yao Mao, Continuous-Discrete Feedback Particle Filter with Intermittent Observation: Balancing Performance and Communication Rate (2025)
  • [6] Luyao Zhang, Jiayi Kang, Ru Qian, Tong Guo, Yao Mao, Distributed Simultaneous Input and State Estimation Based on Consensus Optimization (2025)
  • [7] Yikun Li, Jiayi Kang, Tong Guo, Chang Qin,Wanrun Xia, Yao Mao, Twice-Extended State based Kalman Filter, accepted by China Automation Congress 2025 (2025)
  • [8] Jiayi Kang, Yuzhong Hu, Xiaoming Zhang, Stephen S.-T. Yau, A varitional approach for solving filtering problem via Yau-Yau algorithm (2025)
  • [9] Wanrun Xia, Yikun Li, Luyao Zhang, Jiayi Kang, Tong Guo, Qiliang Bao, Yao Mao, A Robust Distributed Diffusion Kalman Filter under Malicious Attacks (2025)
  • [10] Tong Guo, Jiayi Kang, Ruifeng Dong, Xiaoxu Lyu, Yao Mao, Ling Shi, Sensor Selection for Multi-sensor Networks Based on Pseudo-linear Kalman Filtering (2025)
  • [11] Tong Guo, Jiayi Kang, Xinyuan Huang, Xiaoxu Lyu, Yao Mao, Ling Shi, Stochastic Event-triggered Estimation for Bearings-only Measurements (2025)
  • [12] Ning Liu, Ruifeng Dong, Tong Guo, Ming Wang, Jiayi Kang, Yao Mao, PLKFNet: A Data-Driven Pseudolinear Kalman Filter for Bearings-Only Measurment (2025)
  • [13] Wenhui Dong, Jiayi Kang and Stephen S.-T. Yau, Splitting-up Method for Zakai Equation with $\alpha$-Stable L\'evy Noise: Convergence Analysis and Applications to Nonlinear Filtering Problems (2025)
  • [14] Yuzhong Hu, Jiayi Kang, Lei Ma, and Xiaoming Zhang, A novel implementation of Yau-Yau filter for time-variant nonlinear problems, accepted by Data Analytics and Topology (2025)
  • [15] Xiuqiong Chen*, Jiayi Kang* and Stephen S.-T. Yau, Continuous Discrete Optimal Transportation Particle Filter, Asian Journal of Mathematics (2025)
  • [16] Luyao Zhang, Tong Guo, Jiayi Kang, Ning Liu, Wangrun Xia, Yao Mao, A Distributed Diffusion Bound Optimal Filter for Nonlinear Systems, accepted by 44th Chinese Control Conference (2025)
  • [17] Tong Guo, Jiayi Kang*, Ruifeng Dong, Luyao Zhang, Yao Mao, Pseudo-linear variational adaptive filter for angle-only observation (2025)
  • [18] Jiayi Kang*, Xiaopei Jiao*, and Stephen S.-T. Yau, Estimation of the Linear System via Optimal Transportation and Its Application for Missing Data Observations, IEEE Transactions on Automatic Control (2025)
  • [19] Yangtianze Tao, Xiuqiong Chen, Jiayi Kang, and Stephen S.-T. Yau, Universal Approximation Capacity of Bidirectional Recurrent Neural Networks with Noisy Sequential Inputs, submitted to Automatica (2025)
  • [20] Y Tao, J Kang, SST Yau, The Stochastic Stability Analysis for Outlier Robustness of Kalman-type Filtering Framework Based on Correntropy-Induced Cost, IEEE Transactions on Automatic Control (2024)
  • [21] Jiayi Kang, Andrew Salmon and Stephen S.-T. Yau, Nonexistence of finite-dimensional estimation algebras on closed smooth manifolds, arXiv preprint arXiv:2410.08689 (2024)
  • [22] Xiuqiong Chen, Jiayi Kang and Stephen S.-T. Yau, Time-varying feedback particle filter, Automatica, 167, 111740 (2024)
  • [23] Stephen S-T. Yau, Yangtianze Tao, and Jiayi Kang, Maximum Correntropy Ensemble Kalman Filter, accepted by proceedings of the 2023 62nd IEEE Conference on Decision and Control(2023)
  • [24] Kang J., Jiao X. and Stephen S-T. Yau, 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)
  • [25] Y Tao, J Kang, SST Yau, Neural projection filter: Learning unknown dynamics driven by noisy observations, IEEE Transactions on Neural Networks and Learning Systems (2023)
  • [26] Stephen S-T. Yau, Jiayi Kang and Andrew Salmon, Log-concave posterior densities arising in continuous filtering and a maximum a posteriori algorithm, SIAM Journal on Control and Optimization, 64(2023), 4, 2407-2424
  • [27] Kang, Jiayi, Xiuqiong Chen, Yangtianze Tao, and Stephen Shing-Toung Yau, Optimal transportation particle filter for linear filtering systems with correlated noises, IEEE Transactions on Aerospace and Electronic Systems, 58(6), 5190-5203 (2022)
  • [28] Xiuqiong Chen*, Jiayi Kang*, Mina Teicher, and Stephen S.-T. Yau, A New Linear Regression Kalman Filter with Symmetric Samples, Symmetry, 13(11), 2139 (2021)
  • [29] Xiaopei Jiao*, Shaojun Pei*, Zeju Sun, Jiayi Kang and Stephen S.-T. Yau, Determination of the nucleotide or amino acid composition of genome or protein sequences by using natural vector method and convex hull principle, Fundamental Research, 1(5), 559-564 (2021)
  • [30] STY Stephen, X Chen, X Jiao, J Kang, Z Sun, Y Tao, Principles of Nonlinear Filtering Theory,

 

Update Time: 2025-10-29 08:00:09


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