The Fast Correntropy Mace Filter

In this paper, we implement the newly introduced correntropy MACE filter using the fast Gauss transform (FGT). The correntropy MACE filter is a nonlinear extension to the MACE filter using the correntropy function in a feature space nonlinearly related to the input. The correntropy MACE outperforms the traditional linear MACE in both generalization and rejection abilities. However, in practice, the drawback of the correntropy MACE filter is its computation complexity. This paper present a fast version of the correntropy MACE by using the FGT idea and validates the approximation with results in synthetic aperture radar (SAR) image recognition.