Canonical Tensor Products as a Generalization of Gaussian-type Orbitals

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A literature survey of low‐rank tensor approximation techniques (2013, neutral): “…multi-dimensional convolution [152]; • computational tasks in electronic structure calculations, e.g., based on Hartree-Fock or DFT models [23,24,31,44,45,47,87,141–146,150,156–159]; • the solution of stochastic and parametric PDEs [68,69,76,77,161,165,171,189,202]; • approximation of Green’s…”
A regularized Newton method for the efficient approximation of tensors represented in the canonical tensor format (2012, methodology): “In [4,5] we made the same observation as for the model problem.”
Adaptive low rank wavelet methods and applications to two-electron Schrödinger equations (2012, background): “, in density fitting schemes in quantum chemistry – the combination of separable expansions with wavelet approximation of lower-dimensional factors has been considered in [25, 26, 24, 27].”