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

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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

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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.",
author = "James Hook",
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