“In mathematics, a Hilbert space is an inner product space that is complete with respect to the norm defined by the inner product. Hilbert spaces serve to clarify and generalize the concept of Fourier ...

Two weeks ago, a modest-looking paper was uploaded to the arXiv preprint server with the unassuming title “On the invariant subspace problem in Hilbert spaces”. The paper is just 13 pages long and its ...

Abstract: We present a powerful solution to the problem of vector set classification, based on a novel goodness-of-fit metric, referred to as signal subspace matching (SSM). Unlike the existing ...

add_functions($gr, "$a*x for x in <-5,5> using color:red and weight:2"); add_functions($gr, "$b*x for x in <-5,5> using color:red and weight:2"); $zero = PopUp ...

A vector subspace of a nondegenerate partial inner product space is orthocomplemented if and only if it satisfies a certain topological regularity property. If a nondegenerate, positive definite ...

Abstract: Recent advancement in deep neural network (DNN) has surpassed the conventional hidden Markov model-Gaussian mixture model (HMM-GMM) framework due to its efficient training procedure.

$zero = PopUp(['choose','H contains the zero vector of V','H does not contain the zero vector of V'],'H does not contain the zero vector of V'); $subspace = PopUp ...