Cross approximation in tensor electron density computations

28 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

A literature survey of low‐rank tensor approximation techniques (2013, neutral): “In [88, 211], this method has been combined with multilevel ideas and applied to quantum chemistry.”
Fast truncation of mode ranks for bilinear tensor operations (2010, unknown): “We also show time T ( tals ) for one iteration of Tucker-ALS [22, 6] with ranks ﬁxed equal to the ranks of bases X, Y, Z, returned by Alg.”
Wedderburn Rank Reduction and Krylov Subspace Method for Tensor Approximation. Part 1: Tucker Case (2010, methodology): “algorithms by comparison of the result with the Tucker approximation computed by the individual cross approximation of canonical factors [26] with the accuracy set to ε = 10.”
Superfast Fourier Transform Using QTT Approximation (2012, background): “We refer also to [8, 12, 27, 29, 34, 43, 47, 51] for the detailed discussions on recent progress in this ﬁeld.”
Multilevel preconditioning and low‐rank tensor iteration for space–time simultaneous discretizations of parabolic PDEs (2015, methodology): “As an alternative to full pointwise inversion of g with subsequent truncation, we investigate the approximation of the tensor h by means of black box approximation [43, 44, 45, 46, 47].”