Efficient Implementation of Kernel Regularization based on ADMM. Issue 7 (2021)

• Record Type: Journal Article
• Authors: Fujimoto, Yusuke
• Is Part Of: IFAC-PapersOnLine. Volume 54:Issue 7(2021)
• Page Start: 744
• Page End: 748
• Publication Date: 2021
• Subjects: Non-parametric identification -- regularization -- convex optimization -- kernel regularization -- impulse response; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2021.08.450
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This work discusses about an efficient implementation of the kernel regularization method. In particular, this work focuses on Alternating Direction Method of Multipliers (ADMM) which is one of the convex optimization methods. This work employs two assumptions; (1) the identification input is periodic, and (2) the kernel matrix is tridiagonal. It is shown that ADMM updates can be implemented efficiently under these assumptions. A numerical example is shown to demonstrate the effectiveness of the proposed method.