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Kolmogorov–Arnold representation theorem
Multivariate functions can be written using univariate functions and summing
Kolmogorov–Arnold representation theorem
In real analysis and approximation theory, the Kolmogorov–Arnold representation theorem (or superposition theorem) states that every multivariate continuous function f : [ 0 , 1 ] n → R {\displaystyle f\colon [0,1]^{n}\to \mathbb {R} } can be represented as a superposition of continuous single-variable functions. The works of Vladimir Arnold and Andrey Kolmogorov established that if f is a multivariate continuous function, then f can be written as a finite composition of continuous functions of a single variable and the binary operation of addition. More specifically, f ( x ) = f ( x 1 , … , x...
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