Functional data analysis: An introduction and recent developments

J Gertheiss, D Rügamer, BXW Liew… - Biometrical …, 2024 - Wiley Online Library
Functional data analysis (FDA) is a statistical framework that allows for the analysis of
curves, images, or functions on higher dimensional domains. The goals of FDA, such as …

[HTML][HTML] Clustering and forecasting of day-ahead electricity supply curves using a market-based distance

Z Li, AM Alonso, A Elías, JM Morales - … Journal of Electrical Power & Energy …, 2024 - Elsevier
Gathering knowledge of supply curves in electricity markets is critical to both energy
producers and regulators. Indeed, power producers strategically plan their generation of …

Elastic analysis of irregularly or sparsely sampled curves

L Steyer, A Stöcker, S Greven - Biometrics, 2023 - Wiley Online Library
We provide statistical analysis methods for samples of curves in two or more dimensions,
where the image, but not the parameterization of the curves, is of interest and suitable …

Kent feature embedding for classification of compositional data with zeros

S Lu, W Wang, R Guan - Statistics and Computing, 2024 - Springer
Compositional data have posed challenges to current classification methods owing to the
non-negative and unit-sum constraints, especially when a certain of the components are …

[HTML][HTML] Timeline registration for electronic health records

S Jiang, R Han, K Chakrabarty, D Page… - AMIA Summits on …, 2023 - ncbi.nlm.nih.gov
Abstract Electronic Health Record (EHR) data are captured over time as patients receive
care. Accordingly, variations among patients, such as when a patient presents for care …

Optimized multi-scale affine shape registration based on an unsupervised Bayesian classification

K Sakrani, S Elghoul, F Ghorbel - Multimedia Tools and Applications, 2024 - Springer
Here, we intend to introduce an efficient, robust curve alignment algorithm with respect to the
group of special affine transformations of the plane denoted by SA (2, R). Such a group of …

Registration for incomplete non-Gaussian functional data

A Bauer, F Scheipl, H Küchenhoff… - arXiv preprint arXiv …, 2021 - arxiv.org
Accounting for phase variability is a critical challenge in functional data analysis. To
separate it from amplitude variation, functional data are registered, ie, their observed …

Bayesian function registration with random truncation

Y Lu, R Herbei, S Kurtek - Plos one, 2023 - journals.plos.org
In this work, we develop a new set of Bayesian models to perform registration of real-valued
functions. A Gaussian process prior is assigned to the parameter space of time warping …

α-separability and adjustable combination of amplitude and phase model for functional data

T Wang, J Ding - Journal of the Royal Statistical Society Series …, 2024 - academic.oup.com
We consider separating and joint modelling amplitude and phase variations for functional
data in an identifiable manner. To rigorously address this separability issue, we introduce …

A stochastic process representation for time warping functions

Y Ma, X Zhou, W Wu - Computational Statistics & Data Analysis, 2024 - Elsevier
Time warping function provides a mathematical representation to measure phase variability
in functional data. Recent studies have developed various approaches to estimate optimal …