Salon 3
A Bridge Between High-Dimensional and Functional Data (303313)
*Jane-Ling Wang, University of California, DavisKeywords: functional data, high-dimentional data, principal component analysis, multidimensional scaling,
There is a close relation between high-dimensional data and functional data. For instance, densely observed functional data can be viewed as high-dimensional data endowed with a natural ordering. In this talk, we explore the opposite question whether one can find a proper ordering of high-dimensional data so they can be reordered and viewed as functional data. We will begin the talk with a brief overview of functional data analysis, its advantages and challenges. We will then discuss stringing, a method that takes advantage of the high dimensionality by representing such data as discretized and noisy observations that originate from a hidden smooth stochastic process. Stringing thus transforms high-dimensional data to functional data so that established techniques from functional data analysis can be applied for further statistical analysis. We illustrate the advantage of the stringing methodology through several data sets.