Max-plus 2-norm regression and system identification of max-plus linear dynamical systems with Gaussian noise

James Hook

Research output: Working paper

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Abstract

In this paper we present new theory and algorithms for 2-norm regression over the max- plus semiring. As an application we also show how max-plus 2-norm regression can be used in system identification of max-plus linear dynamical systems with Gaussian noise. We also introduce and provide methods for solving a max-plus linear inverse problem with regularization, which can be used when the the unregularized problem is not well posed.
Original languageEnglish
Number of pages20
Publication statusSubmitted - 10 Dec 2018

Cite this

Max-plus 2-norm regression and system identification of max-plus linear dynamical systems with Gaussian noise. / Hook, James.

2018.

Research output: Working paper

Hook, J 2018 'Max-plus 2-norm regression and system identification of max-plus linear dynamical systems with Gaussian noise'.
Hook J. Max-plus 2-norm regression and system identification of max-plus linear dynamical systems with Gaussian noise. 2018 Dec 10.
Hook, James. / Max-plus 2-norm regression and system identification of max-plus linear dynamical systems with Gaussian noise. 2018.
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