Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
convex analysis tool |
| gptkbp:alsoKnownAs |
convex conjugate
|
| gptkbp:appliesTo |
functions on vector spaces
|
| gptkbp:defines |
f*(y) = sup_x (⟨y, x⟩ - f(x))
|
| gptkbp:domain |
real-valued functions
|
| gptkbp:generalizes |
Legendre transform
|
| https://www.w3.org/2000/01/rdf-schema#label |
Legendre-Fenchel transform
|
| gptkbp:mapType |
function to its convex conjugate
|
| gptkbp:namedAfter |
gptkb:Werner_Fenchel
gptkb:Adrien-Marie_Legendre |
| gptkbp:property |
involutive for closed convex functions
|
| gptkbp:relatedTo |
gptkb:Fenchel's_duality_theorem
convex hull duality in optimization |
| gptkbp:usedIn |
thermodynamics
optimization large deviations theory convex analysis |
| gptkbp:bfsParent |
gptkb:Convex_Analysis
|
| gptkbp:bfsLayer |
6
|