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Spherical Principal Curves
Cited 4 time in
Web of Science
Cited 4 time in Scopus
- Authors
- Issue Date
- 2021-06
- Publisher
- IEEE COMPUTER SOC
- Citation
- IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol.43 No.6, pp.2165-2171
- Abstract
- This paper presents a new approach for dimension reduction of data observed on spherical surfaces. Several dimension reduction techniques have been developed in recent years for non-euclidean data analysis. As a pioneer work, (Hauberg 2016) attempted to implement principal curves on Riemannian manifolds. However, this approach uses approximations to process data on Riemannian manifolds, resulting in distorted results. This study proposes a new approach to project data onto a continuous curve to construct principal curves on spherical surfaces. Our approach lies in the same line of (Hastie and Stuetzle et al. 1989) that proposed principal curves for data on euclidean space. We further investigate the stationarity of the proposed principal curves that satisfy the self-consistency on spherical surfaces. The results on the real data analysis and simulation examples show promising empirical characteristics of the proposed approach.
- ISSN
- 0162-8828
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