2023
DOI: 10.1137/23m1556435
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Bayesian Inverse Problems Are Usually Well-Posed

Abstract: Inverse problems describe the task of blending a mathematical model with observational data---a fundamental task in many scientific and engineering disciplines. The solvability of such a task is usually classified through its well-posedness. A problem is well-posed if it has a unique solution that depends continuously on input or data. Inverse problems are usually ill-posed, but can sometimes be approached through a methodology that formulates a possibly well-posed problem. Usual methodologies are the variatio… Show more

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Cited by 6 publications
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