Curve registration by local regression

By Alois Kneip, Xiaochun Li, K. Macgibbon, James O. Ramsay. 2000

96 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/0ba04ccb4d11e1a23cebc9991970a6404a693100

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In Applied Mathematics

In Geometry and Topology

In Management Science and Operations Research

Citations in the corpus

Semi-parametric estimation of shifts (2007, background): “Piccioni, Scarlatti and Trouvé in [15], Kneip, Li, MacGibbon and Ramsay in [11], or Ramsay and Li in [16] proposed curve registration methods.”
Curve alignment by moments (2007, background): “Then, since z(Ŵn) is a continuous function of γ̂n and µ (l,k) Ẑn is a continuous function of θ̂n [by (A-1)], f is continuous and, hence, (14) implies that f(η̂n′′(ω)(ω), t)→ f(η̂ ∗(ω), t) ∀t(15) and µ (l,k) Ẑn (ω)→ µ (l,k) Z∗ for l = 1, . . . ,L and k = 1, . . . ,Kl.(16) Now, (11) and (15) imply…”
Functional Modelling and Classification of Longitudinal Data * (2005, methodology): “…(Capra & Müller, 1997), maximum likelihood based alignment (Rønn, 2001) and other forms of curve registration (Wang & Gasser, 1997, 1998, 1999; Kneip et al., 2000), and recently timesynchronization of random processes (Liu & Müller, 2004) have been proposed, and this subfield is still in…”
Self‐modelling warping functions (2004, background): “…and Gasser, 1992), shape invariant modelling (Kneip and Engel, 1995), continuous monotone registration (Ramsay and Li, 1998), dynamic time warping (Wang and Gasser, 1999), local regression (Kneip et al., 2000) and maximum likelihood registration (Rønn, 2001), the last restricted to random shifts.”
Functional Modelling and Classification of Longitudinal Data. (2005, methodology): “If we adopt the non-parametric FDA point of view, basic statistical notions such as mean, variance, correlation and regression need to be developed from scratch again, as the classical notions do not lend themselves to straightforward extensions to the functional case.”