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Learning the Fréchet Mean over the Manifold of Symmetric Positive-Definite Matrices

✍ Scribed by Simone Fiori

Book ID
107665481
Publisher
Springer-Verlag
Year
2009
Tongue
English
Weight
558 KB
Volume
1
Category
Article
ISSN
1866-9956

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A Differential Geometric Approach to the
A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices
✍ Moakher, Maher 📂 Article 📅 2005 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 204 KB

In this paper we introduce metric-based means for the space of positive-definite matrices. The mean associated with the Euclidean metric of the ambient space is the usual arithmetic mean. The mean associated with the Riemannian metric corresponds to the geometric mean. We discuss some invariance pro