arXiv subjects

Vasile Pop

Publications and source records attributed to Vasile Pop.

2 recordsLinked to original sources

arXiv2024

Restricted isometric compression of sparse datasets into low-dimensional varieties

This article extends the known restricted isometric projection of sparse datasets in Euclidean spaces $\mathbb{R}^N$ down into low-dimensional subspaces $\mathbb{R}^k, k \ll N,$ to the case of low-dimensional varieties $\mathcal{M} \subset \mathbb{R}^N,$ of codimension $N - k = \omega(N)$. Applications to structured/hierarchical datasets are considered.

math-ph↗

arXiv2020

Relations between ranks of matrix polynomials

We show that the sum of ranks of two matrix polynomials is the same as the sum of the rank of the matrix obtained by applying the greatest common divisor of the polynomials, with the rank of the matrix obtained by applying the lowest common multiple of the polynomials. Many applications, for older or more recent problems, of this result are obtained.

math.RA↗