Depth Enables Local Entropy: Quadratic Depth Dependence in Deep Variation-Norm ReLU Regression

Tao Jiang, Minbo Gao, Shaowei Cai

We study Gaussian regression over the explicit vector-valued Parhi--Nowak deep-RBV^2 architecture with depth L, width w, layer-sum variation budget A, and output bound B. For this…