BIMSA > Jia Yi Kang
Assistant Professor Jia Yi Kang

Group: Statistics, Probability and Data Science

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)

Work Experience

  • 2024 -      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, Journal of computational biology (2025)
  • [2] 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)
  • [3] 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)
  • [4] Luyao Zhang, Tong Guo, Jiayi Kang, Ning Liu, Wangrun Xia, Yao Mao, A Distributed Diffusion Bound Optimal Filter for Nonlinear Systems, submitted to 44th Chinese Control Conference (2025)
  • [5] Tong Guo, Jiayi Kang, Ruifeng Dong, Luyao Zhang, Wanrun Xia, Yao Mao, Sensor Selection for Multi-sensor Networks Based on Pseudo-linear Kalman Filtering, submitted to IEEE Transaction on Aerospace and Electronic System (2025)
  • [6] Xiuqiong Chen*, Jiayi Kang* and Stephen S.-T. Yau, Continuous Discrete Optimal Transportation Particle Filter, accepted by Asian Journal of Mathematics (2024)
  • [7] 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)
  • [8] Yangtianze Tao*, Jiayi Kang*, and Stephen S.-T. Yau, The Stochastic Stability Analysis for Outlier Robustness of Kalman-type Filtering Framework Based on Correntropy-Induced Cost, accepted by IEEE Transactions on Automatic Control (2024)
  • [9] 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)
  • [10] Xiuqiong Chen, Jiayi Kang and Stephen S.-T. Yau, Time-varying feedback particle filter, Automatica, 167, 111740 (2024)
  • [11] Jiayi Kang, Xiuqiong Chen, and Stephen S.-T. Yau, Explicit Convergence analyses of PDE-based filtering algorithms, submitted to SIAM Journal on Control and Optimaization(2024)
  • [12] 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)
  • [13] Jiayi Kang, Xiaopei Jiao 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)
  • [14] Yangtianze Tao, Jiayi Kang and Stephen S.-T. Yau, Maximum Correntropy Ensemble Kalman Filter, IEEE Conference on Decision and Control(2023), 8659-8664
  • [15] Jiayi Kang, Andrew Salmon and Stephen S.-T. Yau, Log-concave posterior densities arising in continuous filtering and a maximum a posteriori algorithm, SIAM Journal on Control and Optimaization, 64(2023), 4, 2407-2424
  • [16] Yangtianze Tao , Jiayi Kang , and Stephen Shing-Toung Yau, Neural Projection Filter: Learning Unknown Dynamics Driven by Noisy Observations, IEEE Transactions on Neural Networks and Learning Systems, 35(2023), 7, 9508-9522
  • [17] 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)
  • [18] 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
  • [19] Jiayi Kang, Xiuqiong Chen, Yangtianze Tao, and Stephen S.-T. Yau, Optimal Transportation Particle Filter for Linear Filtering Systems with Correlated Noises, IEEE Transaction on Aerospace and Electronic System, 58(2022), 6, 5190-5203
  • [20] 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)
  • [21] 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)
  • [22] 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)
  • [23] SST Yau, X Chen, X Jiao, J Kang, Z Sun, Y Tao, Stochastic differential equations (2024)
  • [24] SST Yau, X Chen, X Jiao, J Kang, Z Sun, Y Tao, Classical Filtering Methods (2024)
  • [25] SST Yau, X Chen, X Jiao, J Kang, Z Sun, Y Tao, Estimation Algebra (2024)
  • [26] SST Yau, X Chen, X Jiao, J Kang, Z Sun, Y Tao, Solutions (2024)
  • [27] SST Yau, X Chen, X Jiao, J Kang, Z Sun, Y Tao, Yau-Yau Algorithm (2024)
  • [28] SST Yau, X Chen, X Jiao, J Kang, Z Sun, Y Tao, Estimation Algorithms Based on Deep Learning (2024)
  • [29] SST Yau, X Chen, X Jiao, J Kang, Z Sun, Y Tao, Filtering Equations (2024)
  • [30] SST Yau, X Chen, X Jiao, J Kang, Z Sun, Y Tao, Direct Methods (2024)
  • [31] M Lax, Stochastic processes (2005)
  • [32] STY Stephen, X Chen, X Jiao, J Kang, Z Sun, Y Tao, Principles of Nonlinear Filtering Theory,
  • [33] X Jiao, S Pei, Z Sun, J Kang, SST Yau, Fundamental Research

 

Update Time: 2025-05-20 15:34:25