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Bayes Meets Tikhonov : Understanding Uncertainty Within Gaussian Framework for Seismic Inversion. / Izzatullah, Muhammad; Peter, Daniel; Kabanikhin, Sergey и др.

Studies in Systems, Decision and Control. ред. / Samsul Ariffin Abdul Karim; Nordin Saad; Ramani Kannan. 1. ред. Springer Science and Business Media Deutschland GmbH, 2021. стр. 121-145 (Studies in Systems, Decision and Control; Том 320).

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная › Рецензирование

Harvard

Izzatullah, M, Peter, D, Kabanikhin, S & Shishlenin, M 2021, Bayes Meets Tikhonov: Understanding Uncertainty Within Gaussian Framework for Seismic Inversion. в S Ariffin Abdul Karim, N Saad & R Kannan (ред.), Studies in Systems, Decision and Control. 1 изд., Studies in Systems, Decision and Control, Том. 320, Springer Science and Business Media Deutschland GmbH, стр. 121-145. https://doi.org/10.1007/978-981-15-8606-4_8

APA

Izzatullah, M., Peter, D., Kabanikhin, S., & Shishlenin, M. (2021). Bayes Meets Tikhonov: Understanding Uncertainty Within Gaussian Framework for Seismic Inversion. в S. Ariffin Abdul Karim, N. Saad, & R. Kannan (Ред.), Studies in Systems, Decision and Control (1 ред., стр. 121-145). (Studies in Systems, Decision and Control; Том 320). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-981-15-8606-4_8

Vancouver

Izzatullah M, Peter D, Kabanikhin S, Shishlenin M. Bayes Meets Tikhonov: Understanding Uncertainty Within Gaussian Framework for Seismic Inversion. в Ariffin Abdul Karim S, Saad N, Kannan R, Редакторы, Studies in Systems, Decision and Control. 1 ред. Springer Science and Business Media Deutschland GmbH. 2021. стр. 121-145. (Studies in Systems, Decision and Control). doi: 10.1007/978-981-15-8606-4_8

Author

Izzatullah, Muhammad ; Peter, Daniel ; Kabanikhin, Sergey и др. / Bayes Meets Tikhonov : Understanding Uncertainty Within Gaussian Framework for Seismic Inversion. Studies in Systems, Decision and Control. Редактор / Samsul Ariffin Abdul Karim ; Nordin Saad ; Ramani Kannan. 1. ред. Springer Science and Business Media Deutschland GmbH, 2021. стр. 121-145 (Studies in Systems, Decision and Control).

BibTeX

@inbook{4c7c619b9a95480c8306c67e96937470,
title = "Bayes Meets Tikhonov: Understanding Uncertainty Within Gaussian Framework for Seismic Inversion",
abstract = "In this chapter, we demonstrate the sound connection between the Bayesian approach and the Tikhonov regularisation within Gaussian framework. We provide a thorough uncertainty analysis to answer the following two fundamental questions: (1) How well is the estimate determined by a posteriori PDF, i.e. by the combination of observed data and a priori information? (2) What are the respective contributions of observed data and a priori information? To support the proposed methodology, we demonstrate it through numerical applications in seismic inversions.",
keywords = "Bayesian framework, Inverse problems, Seismic inversion",
author = "Muhammad Izzatullah and Daniel Peter and Sergey Kabanikhin and Maxim Shishlenin",
note = "Bayes Meets Tikhonov: Understanding Uncertainty Within Gaussian Framework for Seismic Inversion / M. Izzatullah, D. Peter, S. Kabanikhin, M. Shishlenin // Studies in Systems, Decision and Control. – 2021. – Vol. 320. – P. 121-145.",
year = "2021",
doi = "10.1007/978-981-15-8606-4_8",
language = "English",
isbn = "978-981-15-8605-7",
series = "Studies in Systems, Decision and Control",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "121--145",
editor = "{Ariffin Abdul Karim}, Samsul and Nordin Saad and Ramani Kannan",
booktitle = "Studies in Systems, Decision and Control",
address = "Germany",
edition = "1",

}

RIS

TY - CHAP

T1 - Bayes Meets Tikhonov

T2 - Understanding Uncertainty Within Gaussian Framework for Seismic Inversion

AU - Izzatullah, Muhammad

AU - Peter, Daniel

AU - Kabanikhin, Sergey

AU - Shishlenin, Maxim

N1 - Bayes Meets Tikhonov: Understanding Uncertainty Within Gaussian Framework for Seismic Inversion / M. Izzatullah, D. Peter, S. Kabanikhin, M. Shishlenin // Studies in Systems, Decision and Control. – 2021. – Vol. 320. – P. 121-145.

PY - 2021

Y1 - 2021

N2 - In this chapter, we demonstrate the sound connection between the Bayesian approach and the Tikhonov regularisation within Gaussian framework. We provide a thorough uncertainty analysis to answer the following two fundamental questions: (1) How well is the estimate determined by a posteriori PDF, i.e. by the combination of observed data and a priori information? (2) What are the respective contributions of observed data and a priori information? To support the proposed methodology, we demonstrate it through numerical applications in seismic inversions.

AB - In this chapter, we demonstrate the sound connection between the Bayesian approach and the Tikhonov regularisation within Gaussian framework. We provide a thorough uncertainty analysis to answer the following two fundamental questions: (1) How well is the estimate determined by a posteriori PDF, i.e. by the combination of observed data and a priori information? (2) What are the respective contributions of observed data and a priori information? To support the proposed methodology, we demonstrate it through numerical applications in seismic inversions.

KW - Bayesian framework

KW - Inverse problems

KW - Seismic inversion

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UR - https://www.elibrary.ru/item.asp?id=45202459

UR - https://www.mendeley.com/catalogue/cc1cc22e-3cbc-3e63-be45-3ac68c9f0677/

U2 - 10.1007/978-981-15-8606-4_8

DO - 10.1007/978-981-15-8606-4_8

M3 - Chapter

AN - SCOPUS:85093868140

SN - 978-981-15-8605-7

SN - 978-981-15-8608-8

SN - 978-981-15-8606-4

T3 - Studies in Systems, Decision and Control

SP - 121

EP - 145

BT - Studies in Systems, Decision and Control

A2 - Ariffin Abdul Karim, Samsul

A2 - Saad, Nordin

A2 - Kannan, Ramani

PB - Springer Science and Business Media Deutschland GmbH

ER -

ID: 25849986