87 citations · 349 across the 33 of their papers we have counts for
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Horospherical Depth and Busemann Median on Hadamard Manifolds
Yangdi Jiang, Xiaotian Chang, Cyrus Mostajeran
\We introduce the horospherical depth, an intrinsic notion of statistical depth on Hadamard manifolds, and define the Busemann median as the set of its maximizers. The construction…
Riemannian statistics meets random matrix theory: towards learning from high-dimensional covariance matrices
Salem Said, Simon Heuveline, Cyrus Mostajeran
Riemannian Gaussian distributions were initially introduced as basic building blocks for learning models which aim to capture the intrinsic structure of statistical populations of…
Gaussian distributions on Riemannian symmetric spaces in the large N limit
Simon Heuveline, Salem Said, Cyrus Mostajeran
We consider Gaussian distributions on certain Riemannian symmetric spaces. In contrast to the Euclidean case, it is challenging to compute the normalization factors of such distrib…