Estimating the regularization parameter efficiently

N. Luiken; T. van Leeuwen

Estimating the regularization parameter efficiently

N. Luiken, T. van Leeuwen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We consider linear inverse problems with a two norm regularization, called Tikhonov regularization. When using regularization to solve an inverse problem, a regularization parameter is introduced. The regularization parameter heavily controls the quality of the regularized solution. We show various methods to estimate the regularization parameter known from literature that arise in various applications. Furthermore, we will describe how to efficiently evaluate them. We show results on a 2D seismic travel time tomography problem.

Original language	English (US)
Title of host publication	80th EAGE Conference and Exhibition 2018: Opportunities Presented by the Energy Transition
Publisher	European Association of Geoscientists and Engineers, [email protected]
ISBN (Print)	9789462822542
State	Published - Jan 1 2018
Externally published	Yes

Cite this

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title = "Estimating the regularization parameter efficiently",

abstract = "We consider linear inverse problems with a two norm regularization, called Tikhonov regularization. When using regularization to solve an inverse problem, a regularization parameter is introduced. The regularization parameter heavily controls the quality of the regularized solution. We show various methods to estimate the regularization parameter known from literature that arise in various applications. Furthermore, we will describe how to efficiently evaluate them. We show results on a 2D seismic travel time tomography problem.",

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N1 - Generated from Scopus record by KAUST IRTS on 2023-10-22

PY - 2018/1/1

Y1 - 2018/1/1

N2 - We consider linear inverse problems with a two norm regularization, called Tikhonov regularization. When using regularization to solve an inverse problem, a regularization parameter is introduced. The regularization parameter heavily controls the quality of the regularized solution. We show various methods to estimate the regularization parameter known from literature that arise in various applications. Furthermore, we will describe how to efficiently evaluate them. We show results on a 2D seismic travel time tomography problem.

AB - We consider linear inverse problems with a two norm regularization, called Tikhonov regularization. When using regularization to solve an inverse problem, a regularization parameter is introduced. The regularization parameter heavily controls the quality of the regularized solution. We show various methods to estimate the regularization parameter known from literature that arise in various applications. Furthermore, we will describe how to efficiently evaluate them. We show results on a 2D seismic travel time tomography problem.

UR - http://www.scopus.com/inward/record.url?scp=85083937945&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9789462822542

BT - 80th EAGE Conference and Exhibition 2018: Opportunities Presented by the Energy Transition

PB - European Association of Geoscientists and Engineers, [email protected]

ER -

Estimating the regularization parameter efficiently

Abstract

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