@inproceedings{d13bf5742eb54d7e9307e050f77260db,
title = "Error Bounds for Some Approximate Posterior Measures in Bayesian Inference",
abstract = "In certain applications involving the solution of a Bayesian inverse problem, it may not be possible or desirable to evaluate the full posterior, e.g. due to the high computational cost of doing so. This problem motivates the use of approximate posteriors that arise from approximating the data misfit or forward model. We review some error bounds for random and deterministic approximate posteriors that arise when the approximate data misfits and approximate forward models are random.",
author = "Lie, {Han Cheng} and Sullivan, {T. J.} and Aretha Teckentrup",
note = "Funding Information: Acknowledgments The research of HCL has been partially funded by Deutsche Forschungsge-meinschaft (DFG)—SFB1294/1—318763901 and by Universit{\"a}t Potsdam. The work of TJS has been partially supported by the Freie Universit{\"a}t Berlin within the Excellence Initiative of the German Research Foundation (DFG). The authors thank an anonymous referee for their feedback. Funding Information: The research of HCL has been partially funded by Deutsche Forschungsgemeinschaft (DFG)?SFB1294/1?318763901 and by Universit?t Potsdam. The work of TJS has been partially supported by the Freie Universit?t Berlin within the Excellence Initiative of the German Research Foundation (DFG). The authors thank an anonymous referee for their feedback. Publisher Copyright: {\textcopyright} 2021, Springer Nature Switzerland AG.; European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2019 ; Conference date: 30-09-2019 Through 04-10-2019",
year = "2021",
doi = "10.1007/978-3-030-55874-1_26",
language = "English",
isbn = "9783030558734",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer",
pages = "275--283",
editor = "Vermolen, {Fred J.} and Cornelis Vuik",
booktitle = "Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference",
address = "United Kingdom",
}