Weighted deterministic walks for the least squares mean on Hadamard spaces

DOI10.1112/blms/bdu008zbMath1291.53050OpenAlexW2037627827MaRDI QIDQ5419243

Yongdo Lim, Miklós Pálfia

Publication date: 6 June 2014

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/bdu008

zbMATH Keywords

Karcher meanleast squares mean

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Operator means involving linear operators, shorted linear operators, etc. (47A64)

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Uses Software

• Matrix Means Toolbox

Cites Work

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• Means in metric spaces and the center of mass
• Monotonic properties of the least squares mean
• Matrix power means and the Karcher mean
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• Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements
• The Riemannian geometry of the space of positive-definite matrices and its application to the regularization of positive-definite matrix-valued data
• Computing the Karcher mean of symmetric positive definite matrices
• Nonpositive curvature: A geometrical approach to Hilbert-Schmidt operators
• Classical Banach-Lie algebras and Banach-Lie groups of operators in Hilbert space
• Riemannian center of mass and mollifier smoothing
• The Riemannian Mean of Positive Matrices