Schauder Bases for $C[0,1]$ Using ReLU, Softplus and Two Sigmoidal Functions

Anand Ganesh, Babhrubahan Bose, Anand Rajagopalan

We construct four Schauder bases for the space $C[0,1]$, one using ReLU functions, another using Softplus functions, and two more using sigmoidal versions of the ReLU and Softplus…