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Tensor Train decomposition on TensorFlow (T3F)

Mathematical Software 2020-03-04 v2 Numerical Analysis

Abstract

Tensor Train decomposition is used across many branches of machine learning. We present T3F -- a library for Tensor Train decomposition based on TensorFlow. T3F supports GPU execution, batch processing, automatic differentiation, and versatile functionality for the Riemannian optimization framework, which takes into account the underlying manifold structure to construct efficient optimization methods. The library makes it easier to implement machine learning papers that rely on the Tensor Train decomposition. T3F includes documentation, examples and 94% test coverage.

Keywords

Cite

@article{arxiv.1801.01928,
  title  = {Tensor Train decomposition on TensorFlow (T3F)},
  author = {Alexander Novikov and Pavel Izmailov and Valentin Khrulkov and Michael Figurnov and Ivan Oseledets},
  journal= {arXiv preprint arXiv:1801.01928},
  year   = {2020}
}
R2 v1 2026-06-22T23:37:50.840Z