Journal
DATA
Volume 5, Issue 3, Pages -Publisher
MDPI
DOI: 10.3390/data5030085
Keywords
Bayesian inference; inverse problems; maximum entropy method; Bayesian reconstruction method; singular value decomposition; systematic error
Funding
- Research Council of Norway under the FRIPRO Young Research Talent grant [286883]
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The Maximum Entropy Method (MEM) is a popular data analysis technique based on Bayesian inference, which has found various applications in the research literature. While the MEM itself is well-grounded in statistics, I argue that its state-of-the-art implementation, suggested originally by Bryan, artificially restricts its solution space. This restriction leads to a systematic error often unaccounted for in contemporary MEM studies. The goal of this paper is to carefully revisit Bryan's train of thought, point out its flaw in applying linear algebra arguments to an inherently nonlinear problem, and suggest possible ways to overcome it.
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