New representations of tree-structured data objects, using ideas from topological data
analysis, enable improved statistical analyses of a population of brain artery trees. A number …

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 …

Object Oriented Data Analysis is a framework that facilitates inter-disciplinary research
through new terminology for discussing the often many possible approaches to the analysis …

In non-Euclidean data spaces represented by manifolds (or more generally stratified
spaces), analogs of principal component analysis can be more easily developed using a …

Skeletal models that are structurally medial provide effective object representations. This is
because they include not only locations but also boundary directions and object widths. We …

Past approaches for statistical shape analysis of objects have focused mainly on objects
within the same topological classes, eg, scalar functions, Euclidean curves, or surfaces, etc …

Statistical analysis of magnetic resonance angiography (MRA) brain artery trees is
performed using two methods for mapping brain artery trees to points in phylogenetic …

Tree data are ubiquitous because they model a large variety of situations, eg, the
architecture of plants, the secondary structure of RNA, or the hierarchy of XML files …

Mortality rates typically vary smoothly over age and time. Exceptions occur owing to events
such as wars and epidemics, which create ridges in the age‐period surface of mortality rates …

We consider a clustering problem in which the data objects are rooted m-ary trees with
known node correspondence. We assume that the nodes of the trees are unweighted, but …