Functional Data Analysis of Tree Data Objects

Functional Data Analysis of Tree Data Objects.

Data analysis on non-Euclidean spaces, such as tree spaces, can be challenging. The main contribution of this paper is establishment of a connection between tree data spaces and the well developed area of Functional Data Analysis (FDA), where the data objects are curves. This connection comes through two tree representation approaches, the Dyck path representation and the branch length represen...

Functional Data Analysis of Populations of Tree-structured Objects

An Introduction to Functional Data Analysis of Populations of Tree-structured Objects

This paper proposes a new method for understanding the structure of populations of complex objects in the area of medical image analysis. The new methods require invention of approaches to the statistical analysis of a population of tree-structured objects. The approach is based on a metric in tree space. The metric provides a foundation for defining a notion of population center. In Functional...

Linear Models for Functional Data

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Fuzzy Data Envelopment Analysis for Classification of Streaming Data

The classification of fuzzy uncertain data is considered one of the most challenging issues in data analysis. In spite of the significance of fuzzy data in mathematical programming, the development of the analytical methods of fuzzy data is slow. Therefore, the current study proposes a new fuzzy data classification method based on fuzzy data envelopment analysis (DEA) which can handle strea...