arxivstat.MLcs.LGmath.FA2026-07-06
Deep Neural Variation Spaces: A Unifying Perspective on Depth and Complexity
Julia Nakhleh, Robert D. Nowak
We develop a unified function space theory of deep fully connected neural networks. Functions in our spaces are defined recursively as $\ell^1$-bounded linear combinations of activated functions from preceding layers, with a dictionary of affine functions at the first layer. Unli…