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physics.comp-ph2026
Parallelized contraction of tensor trains or matrix product operators
Simone FoderÃ, Marc K. Ritter, Hiroshi Shinaoka +1
Tensor Trains (TT), also known as Matrix Product States (MPS) and Matrix Product Operators (MPO), provide a compact and structured representation for high-dimensional data and oper…
physics.comp-ph2026
Adaptive Patching for Tensor Train Computations
Gianluca Grosso, Marc K. Ritter, Stefan Rohshap +5
Quantics Tensor Train (QTT) operations such as matrix product operator contractions are prohibitively expensive for large bond dimensions. We propose an adaptive patching scheme th…
physics.comp-ph2024
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…