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Functional Data Analysis of Tree Data Objects [PDF]

Journal of Computational and Graphical Statistics, 2014
Data analysis on non-Euclidean spaces, such as tree spaces, can be challenging. The main contribution of this article 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.
Bhamidi, Shankar, Marron, J. S., Kim, Yongdai, Muñoz Maldonado, Yolanda, Shen, Haipeng, Shen, Dan   +5 more
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Investigation on the Alteration of Brain Functional Network and Its Role in the Identification of Mild Cognitive Impairment

Frontiers in Neuroscience, 2020
Mild cognitive impairment (MCI) is generally regarded as a prodromal stage of Alzheimer’s disease (AD). In coping with the challenges caused by AD, we analyzed resting-state functional magnetic resonance imaging data of 82 MCI subjects and 93 normal ...
Lulu Zhang, Huangjing Ni, Zhinan Yu, Jun Wang, Jiaolong Qin, Fengzhen Hou, Albert Yang, Alzheimer’s Disease Neuroimaging Initiative (ADNI)   +7 more
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Intrinsic Riemannian functional data analysis [PDF]

The Annals of Statistics, 2019
In this work we develop a novel and foundational framework for analyzing general Riemannian functional data, in particular a new development of tensor Hilbert spaces along curves on a manifold. Such spaces enable us to derive Karhunen-Loeve expansion for Riemannian random processes.
Lin, Zhenhua, Yao, Fang
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Maximal autocorrelation functions in functional data analysis [PDF]

Statistics and Computing, 2015
This paper proposes a new factor rotation for the context of functional principal components analysis. This rotation seeks to re-represent a functional subspace in terms of directions of decreasing smoothness as represented by a generalized smoothing metric.
Hooker, Giles, Roberts, Steven
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Functional Data Analysis of Dynamic PET Data [PDF]

Journal of the American Statistical Association, 2018
One application of positron emission tomography (PET), a nuclear imaging technique, in neuroscience involves in vivo estimation of the density of various proteins (often, neuroreceptors) in the brain. PET scanning begins with the injection of a radiolabeled tracer that binds preferentially to the target protein; tracer molecules are then continuously ...
Yakuan Chen, Jeff Goldsmith, R. Todd Ogden   +2 more
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Looking for Synergies in Healthy Upper Limb Motion: A Focus on the Wrist

IEEE Transactions on Neural Systems and Rehabilitation Engineering, 2023
Recent studies on human upper limb motion highlighted the benefit of dimensionality reduction techniques to extrapolate informative joint patterns.
F. Masiero, I. Fagioli, L. Truppa, A. Mannini, L. Cappello, M. Controzzi   +5 more
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High-Dimensional Statistics: Non-Parametric Generalized Functional Partially Linear Single-Index Model

Mathematics, 2022
We study the non-parametric estimation of partially linear generalized single-index functional models, where the systematic component of the model has a flexible functional semi-parametric form with a general link function.
Mohamed Alahiane, Idir Ouassou, Mustapha Rachdi, Philippe Vieu   +3 more
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Thrombomodulin is a stronger indicator of combined oral contraceptives-induced activated protein C pathway resistance in the thrombin generation test than activated protein C

Frontiers in Cardiovascular Medicine
BackgroundThe mechanism by which combined oral contraceptives (COCs) lead to hypercoagulation is not fully understood, although activated protein C (APC) pathway resistance has been implicated.
Marisa Ninivaggi, Lily Sokolova, Lily Sokolova, Demy Donkervoort, Bas de Laat, Bas de Laat, Romy de Laat-Kremers   +6 more
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Application of an Intensive Longitudinal Functional Model with Multiple Time Scales in Objectively Measured Children’s Physical Activity

Mathematics, 2023
This study proposes an intensive longitudinal functional model with multiple time-varying scales and subject-specific random intercepts through mixed model equivalence that includes multiple functional predictors, one or more scalar covariates, and one ...
Mostafa Zahed, Trent Lalonde, Maryam Skafyan   +2 more
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Air quality investigation using functional data analysis methods

Lietuvos Matematikos Rinkinys, 2023
In this research paper, a comprehensive analysis of particulate matter (PM10) and nitrogen dioxide (NO2) pollution concentrations in six different Lithuanian regions is presented.
Akvilė Vitkauskaitė, Milda Salytė
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