Human brain functional connectivity (FC) is often measured as the similarity of functional
MRI responses across brain regions when a brain is either resting or performing a task. This …

Statistical shape analysis of brain arterial networks (BAN) Page 1 The Annals of Applied
Statistics 2022, Vol. 16, No. 2, 1130–1150 https://doi.org/10.1214/21-AOAS1536 © Institute of …

Robustness analysis is an emerging field in the uncertainty quantification domain. It involves
analyzing the response of a computer model—which has inputs whose exact values are …

This chapter reviews some past and recent developments in shape comparison and
analysis of curves based on the computation of intrinsic Riemannian metrics on the space of …

This paper focuses on the study of open curves in a Riemannian manifold M, and proposes
a reparametrization invariant metric on the space of such paths. We use the square root …

Shape affects both the physical and chemical properties of a material. Characterizing the
roughness, convexity, and general geometry of a material can yield information on its …

We examine how a specific instance of the elastic metric, the Square Root Velocity (SRV)
metric, can be used to study and compare cellular morphologies from the contours they form …

We introduce the shape module of the Python package Geomstats to analyze shapes of
objects represented as landmarks, curves and surfaces across fields of natural sciences and …

We proposed in this work the introduction of a new vision of stochastic processes through
geometry induced by dilation. The dilation matrices of a given process are obtained by a …

Inspired by the problem of gait reproducibility (reidentifying individuals across doctor's visits)
we develop two‐sample permutation tests under a sample‐specific group action on Lie …