Classification Function
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A classification function is a discrete value output-function whose function range is a categorical set (with categories).
- AKA: Category-Outputing Model, Classification Scheme.
- Context:
- domain: a Sample Space Member.
- range: a Class Member.
- range: a Categorical Set (or one of more class labels).
- It can range from being an Abstract Classification Function to being a Classification Structure.
- It can range from being a Binary Classification Function to being a Multi-Valued Classification Function.
- It can range from being a Deterministic Classifier to being a Probabilistic Classifier.
- It can range from being a Simple Classification Function to being a Complex Classification Function (such as an ensemble classifier).
- It can range from being a Heuristic Classifier to being a Predictive Classifier.
- It can range from being a Human-Readable Classification Function to being a Machine-Readable Classification Function.
- It can range from being a Deduced Classification Function to being an Induced Classification Function, (that was induced by classification function learning).
- It can range, based on the Input Structure, from being a Tuple Classifier (such as a vector classifier) to being a Sequence Classifier (such as a text item classifier) to being a Structure Object Classifier (such as a graph classifier).
- a Sequence Tagger, such as a POS Tagging Function.
- It can range, based on the Function Structure, from being a Decision Tree-based Classifier, to being an SVM-based Classifier, to being a Rule-based Classifier, to ...
- It can be an input to a Classification Task.
- It can be used by a Classification System (e.g. a Mechanized Classifier or a Human Classifier).
- Example(s):
- a Vector Classifier, such as [math]\displaystyle{ f(1.1, 2.3, 3.9) \Rightarrow \text{True} }[/math].
- a Tuple Classifier, such as [math]\displaystyle{ f(1.1,Yellow,3.9) \Rightarrow \text{red} }[/math].
- a Class Prediction Tree.
- a Complex Input Classification Function, such as a Sequence Classifier (such as a Text Classification Function).
- a Complex Output Classification Function, such as a Sequence Tagger (such as a POS Tagging Function).
- a Categorical Feature Function.
- …
- Counter-Example(s):
- an Ordinal-Valued Function, such as [math]\displaystyle{ f(1.5) \Rightarrow Large }[/math].
- a Real-Valued Function, such as [math]\displaystyle{ f(1.5) \Rightarrow 5.1 }[/math] or [math]\displaystyle{ f(1.1,Yellow,3.9) \Rightarrow 0.37 }[/math].
- an Integer-Valued Function, such as [math]\displaystyle{ f(1.5) \Rightarrow 1 }[/math],
- a Vector-Valued Function, such as [math]\displaystyle{ f(1.5) \Rightarrow (3.1,2.3) }[/math].
- See: Concept Hierarchy, Decision Function, Categorical Random Variable.
References
2008
- (Dextre Clarke et al., 2008) ⇒ Stella Dextre Clarke, Alan Gilchrist, Ron Davies and Leonard Will. (2008). “Glossary of Terms Relating to Thesauri and Other Forms of Structured Vocabulary for Information Retrieval." Willpower Information
- classification scheme
- schedule of concepts, arranged by classification
- classification scheme
2007
- http://gondolin.rutgers.edu/MIC/text/how/catalog_glossary.htm
- A scheme, usually consisting of numbers or alphanumericor other notation that categorizes or subdivides a subject area or collection of materials. Most classification schemes were originally intended to organize physical items on the shelf. The result was a unique shelving location (call number) for each item that facilitated browsing of material by subject or author.
2005
- (Woodley, 2005b) ⇒ Mary S. Woodley, Gail Clement, and Pete Winn. (2005). “DCMI Glossary." Dublin Core Metadata Initiative.
- QUOTE: classification A logical scheme for arrangement of knowledge, usually by subject. Classification schema are alpha and/or numeric; for example, Library of Congress Classification, Dewey Classification, Universal Decimal Classification.
1995
- (Kohavi, 1995) ⇒ Ron Kohavi. (1995). “A Study of Cross-Validation and Bootstrap for Accuracy Estimation and Model Selection.” In: Proceedings of the Fourteenth International Joint Conference on Artificial Intelligence (IJCAI 1995).
- QUOTE: A classifier is a function that maps an unlabelled instance to a label using internal data structures.