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 language | English |
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| Number of pages | 20 |
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| Publication status | Submitted - 10 Dec 2018 |
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title = "Max-plus 2-norm regression and system identification of max-plus linear dynamical systems with Gaussian noise",
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",
year = "2018",
month = "12",
day = "10",
language = "English",
type = "WorkingPaper",
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N2 - 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.
AB - 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.
M3 - Working paper
BT - Max-plus 2-norm regression and system identification of max-plus linear dynamical systems with Gaussian noise
ER -