[HTML][HTML] Persistent homology analysis of brain artery trees
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 …
analysis, enable improved statistical analyses of a population of brain artery trees. A number …
Statistical shape analysis of brain arterial networks (BAN)
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 …
Statistics 2022, Vol. 16, No. 2, 1130–1150 https://doi.org/10.1214/21-AOAS1536 © Institute of …
Backwards principal component analysis and principal nested relations
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 …
spaces), analogs of principal component analysis can be more easily developed using a …
Object shape representation via skeletal models (s-reps) and statistical analysis
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 …
because they include not only locations but also boundary directions and object widths. We …
Representations, metrics and statistics for shape analysis of elastic graphs
X Guo, A Srivastava - … of the ieee/cvf conference on …, 2020 - openaccess.thecvf.com
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 …
within the same topological classes, eg, scalar functions, Euclidean curves, or surfaces, etc …
Tree-oriented analysis of brain artery structure
S Skwerer, E Bullitt, S Huckemann, E Miller… - Journal of mathematical …, 2014 - Springer
Statistical analysis of magnetic resonance angiography (MRA) brain artery trees is
performed using two methods for mapping brain artery trees to points in phylogenetic …
performed using two methods for mapping brain artery trees to points in phylogenetic …
The weight function in the subtree kernel is decisive
R AzaÃŊs, F Ingels - Journal of Machine Learning Research, 2020 - jmlr.org
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 …
architecture of plants, the secondary structure of RNA, or the hierarchy of XML files …
Bivariate smoothing of mortality surfaces with cohort and period ridges
A Dokumentov, RJ Hyndman, L Tickle - Stat, 2018 - Wiley Online Library
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 …
such as wars and epidemics, which create ridges in the age‐period surface of mortality rates …
Centroid based tree-structured data clustering using vertex/edge overlap and graph edit distance
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 …
known node correspondence. We assume that the nodes of the trees are unweighted, but …