Nonparametric Multi-shape Modeling with Uncertainty Quantification. (arXiv:2206.09127v2 [stat.ML] UPDATED)

Web: http://arxiv.org/abs/2206.09127

The modeling and uncertainty quantification of closed curves is an important
problem in the field of shape analysis, and can have significant ramifications
for subsequent statistical tasks. Many of these tasks involve collections of
closed curves, which often exhibit structural similarities at multiple levels.
Modeling multiple closed curves in a way that efficiently incorporates such
between-curve dependence remains a challenging problem. In this work, we
propose and investigate a multiple-output (a.k.a. multi-output),
multi-dimensional Gaussian process modeling framework. We illustrate the …

arxiv ml modeling quantification uncertainty