Title
Regularized State Estimation And Parameter Learning Via Augmented Lagrangian Kalman Smoother Method
Abstract
In this article, we address the problem of estimating the state and learning of the parameters in a linear dynamic system with generalized L <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> -regularization. Assuming a sparsity prior on the state, the joint state estimation and parameter learning problem is cast as an unconstrained optimization problem. However, when the dimensionality of state or parameters is large, memory requirements and computation of learning algorithms are generally prohibitive. Here, we develop a new augmented Lagrangian Kalman smoother method for solving this problem, where the primal variable update is reformulated as Kalman smoother. The effectiveness of the proposed method for state estimation and parameter learning is demonstrated in spectro-temporal estimation tasks using both synthetic and real data.
Year
DOI
Venue
2019
10.1109/MLSP.2019.8918821
2019 IEEE 29th International Workshop on Machine Learning for Signal Processing (MLSP)
Keywords
DocType
ISSN
state estimation,parameter learning,sparsity,Kalman smoother,augmented Lagrangian method
Conference
1551-2541
ISBN
Citations 
PageRank 
978-1-7281-0825-4
1
0.35
References 
Authors
8
4
Name
Order
Citations
PageRank
Rui Gao110.35
Filip Tronarp285.65
Zheng Zhao352.21
Simo Särkkä462366.52