Geometric foundations for scaling-rotation statistics on symmetric positive definite matrices: Minimal smooth scaling-rotation curves in low dimensions
نویسندگان
چکیده
منابع مشابه
Scaling-Rotation Distance and Interpolation of Symmetric Positive-Definite Matrices
We introduce a new geometric framework for the set of symmetric positive-definite (SPD) matrices, aimed at characterizing deformations of SPD matrices by individual scaling of eigenvalues and rotation of eigenvectors of the SPD matrices. To characterize the deformation, the eigenvalue-eigenvector decomposition is used to find alternative representations of SPD matrices and to form a Riemannian ...
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ژورنال
عنوان ژورنال: Electronic Journal of Statistics
سال: 2017
ISSN: 1935-7524
DOI: 10.1214/17-ejs1250