Kolmogorov Superpositions
2013 ◽
pp. 219-245
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Keyword(s):
Kolmogorov’s superpositions enable the representation of every real-valued continuous function f defined on the Euclidean n-cube in the form , with continuous functions that compute f, and fixed continuous functions dependent only on n. The functions specify space-filling curves that determine characteristics that are not suitable for efficient computational algorithms. Reversing the process, we specify suitable space-filling curves that enable new functions that give a computational algorithm better adaptable to applications. Detailed numerical constructions are worked out for the case n = 2.
1990 ◽
Vol 42
(1)
◽
pp. 153-155
2021 ◽
Vol 7
(1)
◽
pp. 88-99
2010 ◽
Vol 50
(2)
◽
pp. 370-386
◽
1989 ◽
Vol 12
(1)
◽
pp. 9-13
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Keyword(s):
Keyword(s):