Learning tensor networks with tensor cross interpolation: New algorithms and libraries

Learning tensor networks with tensor cross interpolation: New algorithms and libraries

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 learns a compact MPS representation of the entire object from a tiny training data set. Once obtained, the large existin...

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Main Author: Yuriel Núñez Fernández, Marc K. Ritter, Matthieu Jeannin, Jheng-Wei Li, Thomas Kloss, Thibaud Louvet, Satoshi Terasaki, Olivier Parcollet, Jan von Delft, Hiroshi Shinaoka, Xavier Waintal
Format: Article
Language:English
Published: SciPost 2025-03-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.18.3.104
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https://scipost.org/SciPostPhys.18.3.104

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