Concept class

A concept over a domain X is a total Boolean function over X. A concept class is a class of concepts. Concept classes are a subject of computational learning theory.

Concept class terminology frequently appears in model theory associated with probably approximately correct (PAC) learning.^[1] In this setting, if one takes a set Y as a set of (classifier output) labels, and X is a set of examples, the map c : X → Y, i.e. from examples to classifier labels (where Y = {0, 1} and where c is subset of X), c is then said to be a concept. A concept class C is the collection of such concepts.

References

^ Chase, H., & Freitag, J. (2018). Model Theory and Machine Learning. arXiv preprint arXiv:1801.06566.

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[1] Chase, H., & Freitag, J. (2018). Model Theory and Machine Learning. arXiv preprint arXiv:1801.06566.

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