BIMSA > Jiayi Kang
Assistant Professor Jiayi 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] Jiayi Kang, Andrew Salmon and Stephen S.-T. Yau, Nonexistence of finite-dimensional estimation algebras on closed smooth manifolds, submitted to IEEE Transactions on Automatic Control (2024)
  • [2] 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, submitted to IEEE Transactions on Automatic Control(2024)
  • [3] Jiayi Kang, Xiaopei Jiao, and Stephen S.-T. Yau, Estimation of the Linear System via Optimal Transportation and Its Application for Missing Data Observations, submitted to IEEE TRANSACTIONS ON AUTOMATIC CONTROL(2024)
  • [4] Xiuqiong Chen*, Jiayi Kang* and Stephen S.-T. Yau, Continuous Discrete Optimal Transportation Particle Filter, submitted to Asian Journal of Mathematics(2024)
  • [5] Xiuqiong Chen, Jiayi Kang and Stephen S.-T. Yau, Time-varying Feedback Particle Filter, accepted by Automatica(2024)
  • [6] 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)
  • [7] 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)
  • [8] Yangtianze Tao, Jiayi Kang and Stephen S.-T. Yau, Maximum Correntropy Ensemble Kalman Filter, IEEE Conference on Decision and Control(2023), 8659-8664
  • [9] 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
  • [10] 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
  • [11] 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
  • [12] Xiuqiong Chen*, Jiayi Kang*, Mina Teicher, and Stephen S.-T. Yau, A New Linear Regression Kalman Filter with Symmetric Samples, Symmetry, 13(2021), 11, 1-13
  • [13] 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(2021), 1, 559-564

 

Update Time: 2024-10-11 19:52:01