Abstract:Dimensionality reduction is in demand to reduce the complexity of solving largescale problems with data lying in latent low-dimensional structures in machine learning and computer version. Motivated by such need, in this work we study the Restricted Isometry Property (RIP) of Gaussian random projections for low-dimensional subspaces in R N , and rigorously prove that the projection Frobenius norm distance between any two subspaces spanned by the projected data in R n (n < N ) remain almost the same as the dist… Show more
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.