Reconciling alternate methods for the determination of charge distributions: a probabilistic approach to high-dimensional least-squares approximations

DOI10.1007/s10910-010-9740-0zbMath1310.81157arXiv1006.4996OpenAlexW2141283507MaRDI QIDQ626481

Erwan Faou, Nicolas Champagnat, Christophe Chipot

Publication date: 18 February 2011

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.4996

zbMATH Keywords

Monte Carlo methodsleast-squares approximationhigh-dimensional problems

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Atomic physics (81V45) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Uses Software

• GAUSSIAN

Cites Work

• The least singular value of a random square matrix is O\((n ^{- 1/2})\)
• The distribution and moments of the smallest eigenvalue of a random matrix of Wishart type
• Wavelet analysis and chirps
• Eigenvalues and Condition Numbers of Random Matrices
• Condition Numbers of Gaussian Random Matrices
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