| dbo:description
|
- és el problema de classificar les instàncies en una de tres o més classes. (ca)
- مسالهی افراز دادهها به سه رده یا بیشتر (fa)
- problem of classifying instances into one of three or more classes (en)
|
| dbo:wikiPageWikiLink
| |
| dbp:mathStatement
|
- For any ,
Equivalently, if all are non-zero: (en)
- If all probabilities are fixed, for any and we have
Equivalently, if all are non-zero: (en)
- The model of is random if and only if the confusion matrix is of rank 1. (en)
|
| dbp:name
|
- Definition (en)
- Proposition (en)
- Corollary (en)
- Theorem (en)
|
| dbp:proof
|
- . By dividing by and subtracting 1, we deduce the second formulation. (en)
- is a random model of if and only if we have for any and , which is equivalent to for any and . All the columns of the confusion matrix are then proportional to the non-zero vector , which implies that the confusion matrix is of rank 1.
Conversely, if this matrix is of rank 1, the non-zero columns of the matrix are proportional to each other, and therefore proportional to their sum . So there exists a family of numbers such that for any and . Summing this equations over gives , hence for any and . (en)
|
| dbp:title
| |
| dbp:wikiPageUsesTemplate
| |
| dct:subject
| |
| gold:hypernym
| |
| rdfs:label
|
- Multiclass classification (en)
- Classification en classes multiples (fr)
- 多元分类 (zh)
|
| owl:differentFrom
| |
| owl:sameAs
| |
| prov:wasDerivedFrom
| |
| foaf:isPrimaryTopicOf
| |
| is dbo:wikiPageDisambiguates
of | |
| is dbo:wikiPageRedirects
of | |
| is dbo:wikiPageWikiLink
of | |
| is owl:differentFrom
of | |
| is foaf:primaryTopic
of | |
