Paper ID: 2205.01510

ExSpliNet: An interpretable and expressive spline-based neural network

Daniele Fakhoury, Emanuele Fakhoury, Hendrik Speleers

In this paper we present ExSpliNet, an interpretable and expressive neural network model. The model combines ideas of Kolmogorov neural networks, ensembles of probabilistic trees, and multivariate B-spline representations. We give a probabilistic interpretation of the model and show its universal approximation properties. We also discuss how it can be efficiently encoded by exploiting B-spline properties. Finally, we test the effectiveness of the proposed model on synthetic approximation problems and classical machine learning benchmark datasets.

Submitted: May 3, 2022