Widely Linear Matched Filter: A Lynchpin towards the Interpretability of Complex-valued CNNs. (arXiv:2401.16729v1 [cs.LG])

A recent study on the interpretability of real-valued convolutional neural
networks (CNNs) \cite{Stankovic_Mandic_2023CNN} has revealed a direct and
physically meaningful link with the task of finding features in data through
matched filters. However, applying this paradigm to illuminate the
interpretability of complex-valued CNNs meets a formidable obstacle: the
extension of matched filtering to a general class of noncircular complex-valued
data, referred to here as the widely linear matched filter (WLMF), has been
only implicit in the literature. To this end, …

arxiv cnns convolutional neural networks cs.lg data features filter filters interpretability linear networks neural networks paradigm study through