BibliographyΒΆ
- Nouy2017book
A. Nouy, Chapter 4: Low-Rank Methods for High-Dimensional Approximation and Model Order Reduction. Model Reduction and Approximation. SIAM, Philadelphia, PA, p 171-226, 2017. pdf
- Falco2018
A. Falco, W. Hackbusch, and A. Nouy, Tree-based tensor formats SeMA Journal, Oct 2018. pdf
- Grelier2018
E. Grelier, A. Nouy, and M. Chevreuil, Learning with tree-based tensor formats, ArXiv eprints, arXiv:1811.04455, November 2018. pdf
- Grelier2019
E. Grelier, A. Nouy, and R. Lebrun, Learning high-dimensional probability distributions using tree tensor, ArXiv eprints, arXiv:1912.07913, 2019. pdf
- Michel2020
B. Michel and A. Nouy, Learning with tree tensor networks: complexity estimates and model selection, ArXiv eprints, arXiv:2007.01165, 2019. pdf
- Ali2020I
M. Ali and A. Nouy., Approximation with tensor networks. part I: Approximation spaces. ArXiv eprints, arXiv:2007.00118, 2020. pdf
- Ali2020II
M. Ali and A. Nouy., Approximation with tensor networks. part II: Approximation rates for smoothness classes, ArXiv eprints, arXiv:2007.00128, 2020. pdf
- Ali2021III
M. Ali and A. Nouy., Approximation with tensor networks. part III: Multivariate Approximation, ArXiv eprints, arXiv:2101.11932, 2021. pdf
- Nouy2017hopca
A. Nouy, Higher-order principal component analysis for the approximation of tensors in tree-based low-rank formats. Numerische Mathematik, 2019, vol. 141, no 3, p. 743-789, 2019. pdf
- Hackbusch2019
W. Hackbusch, Tensor Spaces and Numerical Tensor Calculus, Springer Nature, 2019, volume~56.