Data dissimilarities and similarities are the key ingredients of machine learning. We give a mathematical characterization and classification of those measures based on structural properties also involving psychological-cognitive aspects of similarity determination, and investigate admissible conversions. Finally, we discuss some consequences of the obtained taxonomy and their implications for machine learning algorithms.
CITATION STYLE
Villmann, T., Kaden, M., Nebel, D., & Bohnsack, A. (2016). Similarities, dissimilarities and types of inner products for data analysis in the context of machine learning a mathematical characterization. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9693, pp. 125–133). Springer Verlag. https://doi.org/10.1007/978-3-319-39384-1_11
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