2 papers
math.NA2022
Stable Parametrization of Continuous and Piecewise-Linear Functions
Alexis Goujon, Joaquim Campos, Michael Unser
Rectified-linear-unit (ReLU) neural networks, which play a prominent role in deep learning, generate continuous and piecewise-linear (CPWL) functions. While they provide a powerful…
cs.LG2022
Measuring Complexity of Learning Schemes Using Hessian-Schatten Total Variation
Shayan Aziznejad, Joaquim Campos, Michael Unser
In this paper, we introduce the Hessian-Schatten total variation (HTV) -- a novel seminorm that quantifies the total "rugosity" of multivariate functions. Our motivation for defini…