Trees

AOOD Program working group.

This SAMSI working group is engaged in collaborative research, on the development of new methodologies for the statistical analysis of populations of tree-structured data objects.  Past approaches to this challenge have been diverse, and have been roughly categorized by our group as falling into the groups (i) Combinatorial, (ii) Folded Euclidean (maybe best known in the study of Phylogenetic Trees), (iii) Dyck Path.  While research will continue in all of these areas, this SAMSI working group has begun bringing special value added in terms of cross-fertilization of ideas between these approaches.  In addition, this group is benefiting from the larger SAMSI AOOD context through exploration of how classical (and thus much better developed) methods from shape and manifold data can inform the development of statistical techniques for handling trees.