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Bayesian Transfer Filtering via UFIR Adaptive Regularization

delete2025-01-01
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PRE
AI
T
Tianyu Zhang
X
Xiaojing Ping
赵顺毅 cover
赵顺毅 (Shunyi Zhao)
Y
Yuriy S. Shmaliy
DOI:10.1109/LSP.2025.3607235delete
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Abstract

Abstract

En 中文
The Bayesian approach resulting in the Kalman filter (KF), often struggle with model uncertainties, particularly when noise statistics are inaccurate. Inspired by transfer learning, this letter presents a novel Bayesian transfer filtering framework that significantly enhances estimation accuracy by incorporating the unbiased finite impulse response (UFIR) structure for adaptive regularization. To adaptively adjust the UFIR filtering estimate, the statistical significance of the transfer-regularization is learned and the variational Bayesian method is applied to learn the regularization factor directly from the data. It is shown that this adaptive strategy not only improves the interpretability and transferability but also removes the need for heuristic selection, which is a common limitation in traditional regularization-based transfer methods. Numerical simulations and water tank experiments collectively confirm the effectiveness of the proposed framework under uncertain noise statistics.
Keywords:
Bayesian transfer filtering
Kalman filter
transfer-regularization
uncertainty
UFIR estimate
variational inference

Journal

I
IEEE Signal Processing Letters
IF:
3.9
Papers:
610
Citations:
0

Organization

J
Jiangnan University
Scholars:
3.9W
Papers: 2.7W
Citations: 4.7W
Universidad de Guanajuato cover
Universidad de Guanajuato
Scholars:
3.9K
Papers: 2.8K
Citations: 1.9K