Hyperplane separation theorem
GPTKB entity
Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
convex sets
real vector spaces |
| gptkbp:describes |
separation of convex sets by hyperplanes
|
| gptkbp:field |
gptkb:mathematics
functional analysis convex geometry |
| gptkbp:firstPublished |
20th century
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hyperplane separation theorem
|
| gptkbp:namedAfter |
hyperplane
|
| gptkbp:relatedTo |
gptkb:Hahn–Banach_theorem
gptkb:Farkas'_lemma |
| gptkbp:state |
two disjoint convex sets can be separated by a hyperplane
|
| gptkbp:usedIn |
gptkb:machine_learning
optimization support vector machines linear programming |
| gptkbp:variant |
strong separation theorem
weak separation theorem |
| gptkbp:bfsParent |
gptkb:Supporting_hyperplane
|
| gptkbp:bfsLayer |
8
|