Hadamard, Khatri-Rao, Kronecker and Other Matrix Products

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When Gaussian Process Meets Big Data: A Review of Scalable GPs (2018, methodology): “to be linear with d by exploiting the row-partitioned KhatriRao structure [111] of Knm, or imposing tensor train decomposition [112] and Kronecker product to the mean and variance of q(fm|y) in Hensman’s variational framework.”
Quantile and quantile-function estimations under density ratio model (2013, background): “Since the ∗ product of two nonnegative definite matrices is still nonnegative definite [Lemma 5 of Liu and Trenkler (2008)], we conclude that U(z) =A1(z) ∗A2(z) is also nonnegative definite for any z.”