Lower Bound Methods and Separation Results for On-Line Learning Models
Machine Learning - Computational learning theory
Neural nets with superlinear VC-dimension
Neural Computation
Neural networks with quadratic VC dimension
Journal of Computer and System Sciences - Special issue: dedicated to the memory of Paris Kanellakis
Learning in Neural Networks: Theoretical Foundations
Learning in Neural Networks: Theoretical Foundations
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It has remained an open question whether there exist product unit networks with constant depth that have superlinear VC dimension. In this paper we give an answer by constructing two-hidden-layer networks with this property. We further show that the pseudo dimension of a single product unit is linear. These results bear witness to the cooperative effects on the computational capabilities of product unit networks as they are used in practice.