A Mathematical View of Weights-of-Evidence, Conditional Independence, and Logistic Regression in Terms of Markov Random Fields

• Published in: Mathematical geosciences Vol. 46; no. 6; pp. 691 - 709
• Main Author: Schaeben, Helmut
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2014; Springer Nature B.V
• Subjects: Approximation; Chemistry and Earth Sciences; Computer Science; Earth and Environmental Science; Earth Sciences; Geology; Geotechnical Engineering & Applied Earth Sciences; Hierarchies; Hydrogeology; Indicators; Logistics; Markov analysis; Markov models; Mathematical models; Mathematics; Physics; Regression; Rendering; Statistics for Engineering; Graphical models; Weights-of-evidence; Conditional independence; Logistic regression model; Markov random field; Log-linear models

New light is shed on mathematical methods of potential modeling from the point of view of Markov random fields. In particular, weights-of-evidence and logistic regression models are discussed in terms of graphical models possessing Markov properties, where the notion of conditional independence is e...