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07/28/2023
Stratified Principal Component Analysis
This paper investigates a general family of models that stratifies the s...
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07/06/2023
Principal subbundles for dimension reduction
In this paper we demonstrate how sub-Riemannian geometry can be used for...
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05/17/2023
Flagfolds
By interpreting the product of the Principal Component Analysis, that is...
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09/05/2022
A geometric framework for asymptotic inference of principal subspaces in PCA
In this article, we develop an asymptotic method for testing hypothesis ...
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08/26/2022
Tangent phylogenetic PCA
Phylogenetic PCA (p-PCA) is a version of PCA for observations that are l...
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12/22/2021
Geodesic squared exponential kernel for non-rigid shape registration
This work addresses the problem of non-rigid registration of 3D scans, w...
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02/17/2021
Cardiac Motion Modeling with Parallel Transport and Shape Splines
In cases of pressure or volume overload, probing cardiac function may be...
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10/15/2020
Geometry of Sample Spaces
In statistics, independent, identically distributed random samples do no...
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07/15/2020
Numerical Accuracy of Ladder Schemes for Parallel Transport on Manifolds
Parallel transport is a fundamental tool to perform statistics on Rie-ma...
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06/18/2019
Curvature effects on the empirical mean in Riemannian and affine Manifolds: a non-asymptotic high concentration expansion in the small-sample regime
The asymptotic concentration of the Fréchet mean of IID random variables...
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06/07/2019
Symmetric Algorithmic Components for Shape Analysis with Diffeomorphisms
In computational anatomy, the statistical analysis of temporal deformati...
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05/23/2019
A model of brain morphological changes related to aging and Alzheimer's disease from cross-sectional assessments
In this study we propose a deformation-based framework to jointly model ...
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12/06/2018
Automatically Segmenting the Left Atrium from Cardiac Images Using Successive 3D U-Nets and a Contour Loss
Radiological imaging offers effective measurement of anatomy, which is u...
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05/29/2018
Parallel Transport with Pole Ladder: a Third Order Scheme in Affine Connection Spaces which is Exact in Affine Symmetric Spaces
Parallel transport is an important step in many discrete algorithms for ...
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05/21/2018
geomstats: a Python Package for Riemannian Geometry in Machine Learning
We introduce geomstats, a python package that performs computations on m...
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09/06/2016
Template shape estimation: correcting an asymptotic bias
We use tools from geometric statistics to analyze the usual estimation p...
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12/14/2011