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cond-mat.str-el2024★ 16 cited
Two-particle calculations with quantics tensor trains: Solving the parquet equations
Stefan Rohshap, Marc K. Ritter, Hiroshi Shinaoka +3
We present the first application of quantics tensor trains (QTTs) and tensor cross interpolation (TCI) to the solution of a full set of self-consistent equations for multivariate f…
physics.comp-ph2024★ 41 cited
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…