Deep ReLU neural network approximation in Bochner spaces and applications to parametric PDEs

Dinh Dũng, Van Kien Nguyen, Duong Thanh Pham

We investigate non-adaptive methods of deep ReLU neural network approximation in Bochner spaces $L_2({\mathbb{U}}^{\infty },X,\mu )$ of functions on ${\mathbb{U}}^{\infty }$ taking values i…