.. _bibliography: ============ Bibliography ============ .. [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.