A nonlinear mixed-effects model for simultaneous smoothing and registration of functional data
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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A nonlinear mixed-effects model for simultaneous smoothing and registration of functional data. / Raket, Lars Lau; Sommer, Stefan Horst; Markussen, Bo.
I: Pattern Recognition Letters, Bind 38, 2014, s. 1-7.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - A nonlinear mixed-effects model for simultaneous smoothing and registration of functional data
AU - Raket, Lars Lau
AU - Sommer, Stefan Horst
AU - Markussen, Bo
PY - 2014
Y1 - 2014
N2 - We consider misaligned functional data, where data registration is necessary for proper statistical analysis. This paper proposes to treat misalignment as a nonlinear random effect, which makes simultaneous likelihood inference for horizontal and vertical effects possible. By simultaneously fitting the model and registering data, the proposed method estimates parameters and predicts random effects more precisely than conventional methods that register data in preprocessing. The ability of the model to estimate both hyperparameters and predict horizontal and vertical effects are illustrated on both simulated and real data.
AB - We consider misaligned functional data, where data registration is necessary for proper statistical analysis. This paper proposes to treat misalignment as a nonlinear random effect, which makes simultaneous likelihood inference for horizontal and vertical effects possible. By simultaneously fitting the model and registering data, the proposed method estimates parameters and predicts random effects more precisely than conventional methods that register data in preprocessing. The ability of the model to estimate both hyperparameters and predict horizontal and vertical effects are illustrated on both simulated and real data.
U2 - 10.1016/j.patrec.2013.10.018
DO - 10.1016/j.patrec.2013.10.018
M3 - Journal article
VL - 38
SP - 1
EP - 7
JO - Pattern Recognition Letters
JF - Pattern Recognition Letters
SN - 0167-8655
ER -
ID: 74858912