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04/14/2023
Differential geometry with extreme eigenvalues in the positive semidefinite cone
Differential geometric approaches to the analysis and processing of data...
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02/21/2023
The Gaussian kernel on the circle and spaces that admit isometric embeddings of the circle
On Euclidean spaces, the Gaussian kernel is one of the most widely used ...
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07/02/2022
Geometric Learning of Hidden Markov Models via a Method of Moments Algorithm
We present a novel algorithm for learning the parameters of hidden Marko...
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06/28/2022
Affine-Invariant Midrange Statistics
We formulate and discuss the affine-invariant matrix midrange problem on...
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03/01/2022
Riemannian statistics meets random matrix theory: towards learning from high-dimensional covariance matrices
Riemannian Gaussian distributions were initially introduced as basic bui...
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02/15/2021
Online learning of Riemannian hidden Markov models in homogeneous Hadamard spaces
Hidden Markov models with observations in a Euclidean space play an impo...
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02/15/2021
Gaussian distributions on Riemannian symmetric spaces in the large N limit
We consider Gaussian distributions on certain Riemannian symmetric space...
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06/02/2020