Simultaneous off-the-grid learning of mixtures issued from a continuous dictionary

arXiv:2210.16311v2 Announce Type: replace-cross
Abstract: In this paper we observe a set, possibly a continuum, of signals corrupted by noise. Each signal is a finite mixture of an unknown number of features belonging to a continuous dictionary. The continuous dictionary is parametrized by a real non-linear parameter. We shall assume that the signals share an underlying structure by assuming that each signal has its active features included in a finite and sparse set. We formulate regularized optimization problem to estimate …

abstract arxiv continuous cs.lg dictionary features grid linear math.pr math.st noise non-linear observe paper set signal stat.ml stat.th type