The Mathematics of Comparing Objects
Marcus Weber, Konstantin Fackeldey

TL;DR
This paper examines the mathematical foundations of comparing objects, using a crime story analogy to explore the assumptions under which AI conclusions about police success are realistic.
Contribution
It introduces a formal framework for analyzing the validity of AI conclusions in object comparison scenarios based on probabilistic assumptions.
Findings
Identifies key assumptions for AI to reliably compare objects
Provides mathematical criteria for the realism of AI conclusions
Highlights limitations of AI in crime story analogy
Abstract
"After reading two different crime stories, an artificial intelligence concludes that in both stories the police has found the murderer just by random." -- To what extend and under which assumptions this is a description of a realistic scenario?
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Taxonomy
TopicsData Mining Algorithms and Applications · Computability, Logic, AI Algorithms · Rough Sets and Fuzzy Logic
