ehymet - Methodologies for Functional Data Based on the Epigraph and
Hypograph Indices
Implements methods for functional data analysis based on
the epigraph and hypograph indices. These methods transform
functional datasets, whether in one or multiple dimensions,
into multivariate datasets. The transformation involves
applying the epigraph, hypograph, and their modified versions
to both the original curves and their first and second
derivatives. The calculation of these indices is tailored to
the dimensionality of the functional dataset, with special
considerations for dependencies between dimensions in
multidimensional cases. This approach extends traditional
multivariate data analysis techniques to the functional data
setting. A key application of this package is the EHyClus
method, which enhances clustering analysis for functional data
across one or multiple dimensions using the epigraph and
hypograph indices. See Pulido et al. (2023)
<doi:10.1007/s11222-023-10213-7> and Pulido et al. (2024)
<doi:10.48550/arXiv.2307.16720>.