@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",
year = "2021",
doi = "10.1007/978-981-15-8606-4_8",
language = "English",
series = "Studies in Systems, Decision and Control",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "121--145",
booktitle = "Studies in Systems, Decision and Control",
address = "Germany",
}