Transformations on positive definite matrices preserving generalized distance measures

A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices

Maher Moakher · SIAM Journal on Matrix Analysis and Applications · 2005 · 705 citations

Natural Sciences, Mathematics, Computational Geometry +7

Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators

Ky Fan · Proceedings of the National Academy of Sciences · 1951 · 472 citations · Full text

Engineering, Mining Engineering, Supply Chain Management +9

Jensen-Bregman LogDet Divergence with Application to Efficient Similarity Search for Covariance Matrices

Anoop Cherian, Suvrit Sra, Arindam Banerjee et al. · IEEE Transactions on Pattern Analysis and Machine Intelligence · 2012 · 167 citations

Computing, Computer Science, Computer Vision +15

Convexity of the geodesic distance on spaces of positive operators

Gustavo Corach, Horaçio Porta, Lázaro Recht · Illinois Journal of Mathematics · 1994 · 104 citations · Full text

Natural Sciences, Geophysics, Optimization +11

Efficient similarity search for covariance matrices via the Jensen-Bregman LogDet Divergence

Anoop Cherian, Suvrit Sra, Arindam Banerjee et al. · 2011 · 70 citations

Computing, Computer Science, Computer Vision +15