Approximation Theory of Tree Tensor Networks: Tensorized Univariate Functions

Author:

Ali Mazen,Nouy Anthony

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,General Mathematics,Analysis

Reference62 articles.

1. Ali, M.: Ranks of tensor networks for eigenspace projections and the curse of dimensionality. arXiv:2012.12953 (2020)

2. Ali, M., Nouy, A.: Approximation of smoothness classes by deep rectifier networks. SIAM J. Numer. Anal. 59(6), 3032–3051 (2021)

3. Ali, M., Nouy, A.: Approximation theory of tree tensor networks: tensorized multivariate functions. arXiv:2101.11932 (2021)

4. Arad, I., Kitaev, A., Landau, Z., Vazirani, U.: An area law and sub-exponential algorithm for 1d systems. arXiv:1301.1162 (2013)

5. Ayoul-Guilmard, Q., Nouy, A., Binetruy, C.: Tensor-based multiscale method for diffusion problems in quasi-periodic heterogeneous media. ESAIM Math. Model. Numer. Anal. 52(3), 869–891 (2018)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Active Learning of Tree Tensor Networks using Optimal Least Squares;SIAM/ASA Journal on Uncertainty Quantification;2023-07-17

2. Low-rank tensor methods for partial differential equations;Acta Numerica;2023-05

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