Rational Activations are a novel learnable activation functions. Rationals encode activation functions as rational functions, trainable in an end-to-end fashion using backpropagation and can be ...

Abstract: Approximation-based spectral graph neural networks, which construct graph filters with function approximation, have shown substantial performance in graph learning tasks. Despite their great ...

Abstract: Pole-zero modeling of signals, such as an electromagnetic-scatterer response, is considered in this paper. It is shown by use of the pencil-of-functions theorem that a) the true parameters ...

For a rational matrix function Φ with poles outside the unit circle, we estimate the degree of the unique superoptimal approximation 𝒜Φ by matrix functions analytic in the unit disk. We obtain sharp ...

This report presents near-minimax rational approximations for the Bessel functions $J_0(x), J_1(x), Y_0(x)$, and $Y_1(x)$ for the complete range of $x$, with relative ...