89 citations · 187 across the 3 of their papers we have counts for
3 papers
Learning tensor networks with tensor cross interpolation: new algorithms and libraries
Yuriel Núñez Fernández, Marc K. Ritter, Matthieu Jeannin +8
The tensor cross interpolation (TCI) algorithm is a rank-revealing algorithm for decomposing low-rank, high-dimensional tensors into tensor trains/matrix product states (MPS). TCI…
Quantics Tensor Cross Interpolation for High-Resolution, Parsimonious Representations of Multivariate Functions in Physics and Beyond
Marc K. Ritter, Yuriel Núñez Fernández, Markus Wallerberger +3
Multivariate functions of continuous variables arise in countless branches of science. Numerical computations with such functions typically involve a compromise between two contrar…
Learning Feynman Diagrams with Tensor Trains
Yuriel Nunez-Fernandez, Matthieu Jeannin, Philipp T. Dumitrescu +4
We use tensor network techniques to obtain high order perturbative diagrammatic expansions for the quantum many-body problem at very high precision. The approach is based on a tens…