3 papers
math.NA2025
An additive two-level parallel variant of the DMRG algorithm with coarse-space correction
Laura Grigori, Muhammad Hassan
The density matrix renormalization group (DMRG) algorithm is a popular alternating minimization scheme for solving high-dimensional optimization problems in the tensor train format…
math.NA2025
Adaptive Randomized Tensor Train Rounding using Khatri-Rao Products
Hussam Al Daas, Grey Ballard, Laura Grigori +3
Approximating a tensor in the tensor train (TT) format has many important applications in scientific computing. Rounding a TT tensor involves further compressing a tensor that is a…
cs.DC2025
Minimizing Communication for Parallel Symmetric Tensor Times Same Vector Computation
Hussam Al Daas, Grey Ballard, Laura Grigori +3
In this article, we focus on the parallel communication cost of multiplying the same vector along two modes of a -dimensional symmetric tensor. This is a key computation in the…