Kolmogorov–Arnold representation theorem
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:superposition_theorem
|
| gptkbp:appliesTo |
continuous functions on the unit cube
|
| gptkbp:field |
gptkb:analysis
gptkb:mathematics approximation theory |
| gptkbp:generalizes |
gptkb:Arnold's_extension
|
| gptkbp:influenced |
gptkb:universal_approximation_theorem
neural networks |
| gptkbp:namedAfter |
gptkb:Vladimir_Arnold
gptkb:Andrey_Kolmogorov |
| gptkbp:publishedIn |
gptkb:Doklady_Akademii_Nauk_SSSR
|
| gptkbp:state |
Every multivariate continuous function can be represented as a finite sum of continuous functions of one variable and addition.
|
| gptkbp:yearProposed |
1957
|
| gptkbp:bfsParent |
gptkb:Andrey_Nikolaevich_Kolmogorov
gptkb:Andrei_Kolmogorov gptkb:Cybenko_theorem |
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Kolmogorov–Arnold representation theorem
|