Model-based joint curve registration and classification

Tang, Lin1; Zeng, Pengcheng2; Shi, Jian Qing3,5; Kim, Won-Seok4

2022

10.1080/02664763.2021.2023118

JOURNAL OF APPLIED STATISTICS   影响因子和分区

0266-4763

1360-0532

In this paper, we consider the problem of classification of misaligned multivariate functional data. We propose to use a model-based approach for the joint registration and classification of such data. The observed functional inputs are modeled as a functional nonlinear mixed effects model containing a nonlinear functional fixed effect constructed upon warping functions to account for curve alignment, and a nonlinear functional random effects component to address the variability among subjects. The warping functions are also modeled to accommodate common effect within groups and the variability between subjects. Then, a functional logistic regression model defined upon the representation of the aligned curves and scalar inputs is used to account for curve classification. EM-based algorithms are developed to perform maximum likelihood inference of the proposed models. The identifiability of the registration model and the asymptotical properties of the proposed method are established. The performance of the proposed procedure is illustrated via simulation studies and an analysis of a hyoid bone movement data application. The statistical developments proposed in this paper were motivated by the hyoid bone movement study, the methodology is designed and presented generality and can be applied to numerous areas of scientific research.

Curve registration curve classification functional data analysis nonlinear mixed effects model time warping

SCI

英语

通讯

Mathematics

Statistics & Probability

WOS:000742477400001

TAYLOR & FRANCIS LTD

MATHEMATICS

Web of Science

1.Yunnan Univ, Yunnan Key Lab Stat Modeling & Data Anal, Kunming, Yunnan, Peoples R China
2.ShanghaiTech Univ, Inst Math Sci, Shanghai, Peoples R China
3.Southern Univ Sci & Technol, Dept Stat & Data Sci, 1088 Xueyuan Rd, Shenzhen, Peoples R China
4.Seoul Natl Univ, Bundang Hosp, Coll Med, Dept Rehabil Med, Seongnam, South Korea
5.Natl Ctr Appl Math, Shenzhen, Peoples R China

Tang, Lin,Zeng, Pengcheng,Shi, Jian Qing,et al. Model-based joint curve registration and classification[J]. JOURNAL OF APPLIED STATISTICS,2022,50(5).

Tang, Lin,Zeng, Pengcheng,Shi, Jian Qing,&Kim, Won-Seok.(2022).Model-based joint curve registration and classification.JOURNAL OF APPLIED STATISTICS,50(5).

Tang, Lin,et al."Model-based joint curve registration and classification".JOURNAL OF APPLIED STATISTICS 50.5(2022).