The correlation with age continues to be significant even after controlling for correlations from earlier significant summaries, and novel approaches to the statistical analysis lead to heightened correlations with covariates such as age and sex relative to earlier analyses of this data set.Expand

A candidate genetic locus that associates with baseline depressive-like behavior contains a gene that encodes for cellular proliferation/adhesion molecule (Cadm1), supporting a genetic basis for the role of neuro/gliogenesis in depression.Expand

For a dataset of points from a metric space, the Fréchet function is the sum of squared distances from a variable point to the data points. The Fréchet mean is the minimizer of the Fréchet function.… Expand

Given a probability distribution on an open book (a metric space obtained by gluing a disjoint union of copies of a half-space along their boundary hyperplanes), we define a precise concept of when… Expand

This analysis of MRA data shows a statistically significant effect of age and sex on brain artery structure, and variation in the proximity of brain arteries to the cortical surface results in strong statistical difference between sexes and statistically significant age effect.Expand

A novel parametrization preserves an important aspect of tree structure, namely its branch order, and is amenable to standard methods of analysis, like generalized linear/additive models.Expand

By analyzing the differential properties of the Frechet function along geodesics in treespace, a theorem describing a decomposition of the derivative along a geodesic is obtained that is used to formulate optimality conditions which are used as a logical basis for an algorithm to verify relative optimality at points where theFrechet function gradient does not exist.Expand

Shortest paths in treespace, which represent minimal deformations between trees, are unique and can be computed in polynomial time. The ability to quickly compute shortest paths has enabled new… Expand

Taking advantage of the recursive structure in trees, this work formulated fast algorithms for computing affine combinations, distances and correlations in a vector subspace of recursive partition functions.Expand

Property of the Fr\'echet function are used to develop an algorithmic system for computing Fr‐echet means and a sticky law of large numbers is described which describes a surprising stability of the topological tree structure of sample Fr¬echet mean at that of the population Frµechetmean.Expand