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20052021
most citedLarge sample theory of intrinsic and extrinsic sample means on manifolds--II

185 citations · 368 across the 15 of their papers we have counts for

collaborators

15 papers

math.ST2021

Two Sample Test for Extrinsic Antimeans on Planar Kendall Shape Spaces with an Application to Medical Imaging

Aaid Algahtani, Vic Patrangenaru

In this paper one develops nonparametric inference procedures for comparing two extrinsic antimeans on compact manifolds. Based on recent Central limit theorems for extrinsic sampl…

stat.ME2021

A Phylogenetic Trees Analysis of SARS-CoV-2

Chen Shen, Vic Patrangenaru, Roland Moore

One regards spaces of trees as stratified spaces, to study distributions of phylogenetic trees. Stratified spaces with may have cycles, however spaces of trees with a fixed number…

cs.CV2020

Nonparametric Data Analysis on the Space of Perceived Colors

Vic Patrangenaru, Yifang Deng

Moving around in a 3D world, requires the visual system of a living individual to rely on three channels of image recognition, which is done through three types of retinal cones. N…

stat.ML2019

Extrinsic Kernel Ridge Regression Classifier for Planar Kendall Shape Space

Hwiyoung Lee, Vic Patrangenaru

Kernel methods have had great success in Statistics and Machine Learning. Despite their growing popularity, however, less effort has been drawn towards developing kernel based clas…

math.ST2019★ 1 cited

Anti-MANOVA on Compact Manifolds with Applications to 3D Projective Shape Analysis

Hwiyoung Lee, Vic Patrangenaru

Methods of hypotheses testing for equality of extrinsic antimeans on compact manifolds are unveiled in this paper. The two and multiple sample problem for antimeans on compact mani…

stat.OT2018★ 2 cited

Nonparametric Confidence Regions for Veronese-Whitney Means and Antimeans on Planar Kendall Shape Spaces

Yunfan Wang, Vic Patrangenaru

In this paper after a brief revision of VW-means, which are extrinsic means on real and complex projective spaces, relative to the Veronese-Whitney embeddings, we give two examples…