A paper about filtering on manifold In the process of completion.
A paper about robust machine learning In the process of completion.
A paper about operator learning In the process of completion.
Estimation of the Linear System via Optimal Transportation and Its Application for Missing Data Observations Jiayi Kang , Xiaopei Jiao and Stephen S.-T. Yau submitted to IEEE Transactions on Automatic Control, 2023.
Explicit Convergence analyses of PDE-based filtering algorithm Jiayi Kang , Xiuqiong Chen, and Stephen S.-T. Yau submitted to SIAM Journal on Control and Optimization (SICON) 2024.
The Stochastic Stability Analysis for Outlier Robustness of Kalman-type Filtering Framework Based on Correntropy-Induced Cost Yangtianze Tao, Jiayi Kang* , and Stephen S.-T. Yau submitted to IEEE Transactions on Automatic Control, 2024.
Universal Approximation Capacity of Bidirectional Recurrent Neural Networks with Noisy Sequential Inputs Yangtianze Tao, Xiuqiong Chen, Jiayi Kang , and Stephen S.-T. Yau submitted to IEEE Transactions on Neural Networks and Learning Systems (TNNLS) 2024.
Time-varying Feedback Particle Filter Xiuqiong Chen, Jiayi Kang , and Stephen S.-T. Yau Accepted by Automatica, 2023.
Finite Dimensional Estimation Algebra For Time-varying Filtering System and Optimal Transport Particle Filter: A Tangent Flow Point of View Jiayi Kang , Xiaopei Jiao and Stephen S.-T. Yau Accepted by IEEE Transactions on Aerospace and Electronic Systems (TAES), to appear, 2023.
Maximum Correntropy Ensemble Kalman Filter Yangtianze Tao, Jiayi Kang , and Stephen S.-T. Yau Accepted by 2023 62nd IEEE Conference on Decision and Control (CDC).
Log-concave posterior densities arising in continuous filtering and a maximum a posteriori algorithm Jiayi Kang , Andrew Salmon and Stephen S.-T. Yau Accepted by SIAM Journal on Control and Optimization (SICON), to appear, 2023
Neural Projection Filter: Learning Unknown Dynamics Driven By Noisy Observations Yangtianze Tao, Jiayi Kang , Stephen Shing-Toung Yau IEEE Transactions on Neural Networks and Learning Systems (TNNLS), to appear, 2023.
Optimal Transportation Particle Filter for Linear Filtering Systems with Correlated Noises Jiayi Kang , Xiuqiong Chen, Yangtianze Tao, Stephen Shing-Toung Yau IEEE Transactions on Aerospace and Electronic Systems (TAES), 2022.
A New Linear Regression Kalman Filter with Symmetric Samples Xiuqiong Chen*, Jiayi Kang* , Mina Teicher and Stephen S.-T. Yau Symmetry , Vol. 13, No. 11, 2021
Determination of the nucleotide or amino acid composition of genome or protein sequences by using natural vector method and convex hull principle Xiaopei Jiao*, Shaojun Pei*, Zeju Sun, Jiayi Kang and Stephen S.-T. Yau Fundamental Research, Vol. 1, 559-564, 2021
Note: * indicates the co-first author.