Using redundant coordinates to represent potential energy surfaces with lower-dimensional functions.

By Sergei Manzhos, Tucker Carrington Jr.. 2007

97 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Molecular Biology, Spectroscopy

How researchers see this paper

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

In Atomic and Molecular Physics, and Optics

1. Boris N. Khoromskij
2. Ivan V. Oseledets
3. B. A. Le
4. Qi-Chang He
5. Julien Yvonnet
6. Vladimir A. Kazeev
7. Wolfgang Hackbusch
8. Dmitry V. Savostyanov

In Molecular Biology

1. B. A. Le
2. Qi-Chang He
3. Julien Yvonnet
4. Boris N. Khoromskij

In Spectroscopy

1. Ivan V. Oseledets
2. B. A. Le
3. Qi-Chang He
4. Julien Yvonnet
5. Boris N. Khoromskij

Citations in the corpus

• DMRG+QTT approach to computation of the ground state for the molecular Schrödinger operator (2010, background): “A lot of successful approaches exist for the particular molecules (see, for example, [31, 34, 46]), which are based on the interpolation of multivariate functions.”
• Computational homogenization of nonlinear elastic materials using neural networks (2015, methodology): “It can be shown [35] (Universal approximation theorem [46]) that there always exists a linear transformation of the initial coordinates such that an arbitrary accuracy can be obtained for an order of expansion k in HDMR approximation and d D .”