Kolmogorov–Arnold representation theorem
GPTKB entity
Statements (17)
Predicate | Object |
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gptkbp:instanceOf |
gptkb:mathematical_concept
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gptkbp:alsoKnownAs |
gptkb:superposition_theorem
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gptkbp:appliesTo |
continuous functions on the unit cube
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gptkbp:field |
gptkb:mathematics
analysis approximation theory |
gptkbp:generalizes |
gptkb:Arnold's_extension
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https://www.w3.org/2000/01/rdf-schema#label |
Kolmogorov–Arnold representation theorem
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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.
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gptkbp:yearProposed |
1957
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gptkbp:bfsParent |
gptkb:Andrei_Kolmogorov
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gptkbp:bfsLayer |
5
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