title: Clustering Tree-Structured Data on Manifold.
abstract: Tree-structured data usually contain both topological and geometrical information, and are necessarily considered on manifold instead of euclidean space for appropriate data parameterization and analysis. In this study, we propose a novel tree-structured data parameterization, called Topology-Attribute matrix (T-A matrix), so the data clustering task can be conducted on matrix manifold. We incorporate the structure constraints embedded in data into the non-negative matrix factorization method to determine meta-trees from the T-A matrix, and the signature vector of each single tree can then be extracted by meta-tree decomposition. The meta-tree space turns out to be a cone space, in which we explore the distance metric and implement the clustering algorithm based on the concepts like Fréchet mean. Finally, the T-A matrix based clustering (TAMBAC) framework is evaluated and compared using both simulated data and real retinal images to illustrate its efficiency and accuracy.
authors.forename: Na
authors.initials: N
authors.lastname: Lu
authors.forename: Hongyu
authors.initials: H
authors.lastname: Miao
mesh_terms: D000465:Algorithms; D016000:Cluster Analysis; D006801:Humans; D012160:Retina / Q000000981:diagnostic imaging