Cross Tensor Approximation (CTA) is a generalization of Cross/skeleton matrix and CUR
Matrix Approximation (CMA) and is a suitable tool for fast low-rank tensor approximation. It …

In this work we solve, for given bounded operators $ B, C $ and Hilbert--Schmidt operator $
M $ acting on potentially infinite-dimensional separable Hilbert spaces, the reduced rank …

The perturbation of the QR decompostion is analyzed from the probalistic point of view. The
perturbation error is approximated by a first-order perturbation expansion with high …

Low-rank tensor approximations with closed and convex constraints, eg, nonnegative
entries or Lorentz cones, have become increasingly important and ubiquitous in the era of …

This paper derives the CUR-type factorization for tensors in the Tucker format based on a
new variant of the discrete empirical interpolation method known as L-DEIM. This novel …

ABSTRACT Cross Tensor Approximation (CTA) is a generalization of Cross/skeleton matrix
and CUR Matrix Approximation (CMA) and is a suitable tool for fast low-rank tensor …