The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Alignment of curves by dynamic time warping
Open accessAbstract
When studying some process or development in different subjects or units--be it biological, chemical or physical--we usually see a typical pattern, common to all curves. Yet there is variation both in amplitude and dynamics between curves. Following some ideas of structural analysis introduced by Kneip and Gasser, we study a method--dynamic time warping with a proper cost function--for estimating the shift or warping function from one curve to another to align the two functions. For some models this method can identify the true shift functions if the data are noise free. Noisy data are smoothed by a nonparametric function estimate such as a kernel estimate. It is shown that the proposed estimator is asymptotically normal and converges to the true shift function as the sample size per subject goes to infinity. Some simulation results are presented to illustrate the performance of this method.
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Cites
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Some Tools for Functional Data Analysis
Ramsay, J. O., & Dalzell, C. J. (1991) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1991.tb01844.x · Cited by 939
Estimating the Mean and Covariance Structure Nonparametrically When the Data are Curves
Rice, J. A., & Silverman, B. W. (1991) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1991.tb01821.x · Cited by 859
Some Statistical Methods for Comparison of Growth Curves
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Kernels for Nonparametric Curve Estimation
Gasser, T., MÜller, H.-G., & Mammitzsch, V. (1985) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1985.tb01350.x · Cited by 470
Self-citationEstimating regression functions and their derivatives by the kernel method
Gasser, T., & Müller, H. (1984) · Scandinavian Journal of Statistics · Cited by 423
Self-citationParsons, T. W. (1986) · Medical Entomology and Zoology · Cited by 337
Statistical Tools to Analyze Data Representing a Sample of Curves
Kneip, A., & Gasser, T. (1992) · The Annals of Statistics · doi:10.1214/aos/1176348769 · Cited by 277
Self-citationA Flexible and Fast Method for Automatic Smoothing
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Self-citationSemiparametric Comparison of Regression Curves
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Loading of the Knee Joint during Activities of Daily Living Measured In Vivo in Five Subjects
Kutzner, I., Heinlein, B., Graichen, F., Bender, A., Rohlmann, A., Halder, A., Beier, A., & Bergmann, G. (2010) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2010.03.046 · Cited by 798
Statistical modeling and recognition of surgical workflow
Padoy, N., Blum, T., Ahmadi, S.-A., Feussner, H., Berger, M.-O., & Navab, N. (2012) · Medical Image Analysis · doi:10.1016/j.media.2010.10.001 · Cited by 279
Pairwise curve synchronization for functional data
Tang, R., & Muller, H.-G. (2008) · Biometrika · doi:10.1093/biomet/asn047 · Cited by 133
Metadata
- Authors
- Wang, K., & Gasser, T.
- Venue
- The Annals of Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1997-06-01
- Volume
- 25
- Issue
- 3
- Pages
- 1251-1276
- ISSN
- 0090-5364 (ISSN-L)
- OpenAlex
- W2128636568
- Cited by
- 293
- References
- 12
- FWCI
- 3.42
- Type
- journal article
- Language
- en
- Open access
- bronze
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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