Tag: arnold

Sinusoidal Approximation Theorem for Kolmogorov-Arnold Networks arXiv:2508.00247v1 Announce Type: new Abstract: The Kolmogorov-Arnold representation theorem states that any continuous multivariable function can be exactly represented as a finite superposition of continuous single variable functions. Subsequent simplifications of this representation involve expressing these functions as parameterized sums of a smaller number of unique monotonic functions. These…