120 citations · 295 across the 23 of their papers we have counts for
Showing 2026Show all
3 papers · 1 filter
math.FA2026
Two fixed functions can approximate any continuous function using only addition and composition
Vugar Ismailov
We prove that two fixed univariate functions, namely, an arbitrary continuous non-affine function and a particular affine function, are sufficient to approximate continuous functio…
math.GN2026
Universality of shallow and deep neural networks on non-Euclidean spaces
Vugar Ismailov
We study shallow and deep neural networks whose inputs range over a general topological space. The model is built from a prescribed family of continuous feature maps and reduces to…
cs.LG2026
Topological DeepONets and a generalization of the Chen-Chen operator approximation theorem
Vugar Ismailov
Deep Operator Networks (DeepONets) provide a branch-trunk neural architecture for approximating nonlinear operators acting between function spaces. In the classical operator approx…