Thin Plate Spline Latent Variable Models for Dimensionality Reduction

Xinwei Jiang, Junbin Gao, Daming Shi, Tianjiang Wang

Research output: Book chapter/Published conference paperConference paper

1 Citation (Scopus)
5 Downloads (Pure)

Abstract

Dimensionality reduction (DR) has been considered as one of the most significant tools for data analysis. In this paper we propose a new latent variable model based on the thin plate splines, named Thin Plate Spline Latent Variable Model (TPSLVM). It has strong connection with the so-called Gaussian Process Latent Variable Model (GPLVM). We demonstrate that the proposed TPSLVM can be viewed as the GPLVM with a fairly peculiar covariance function. Moreover, compared to GPLVM, TPSLVM is more powerful especially when the dimensionality of the latent space is very low (e.g., 2D or 3D). One of main purposes of DR algorithms is to visualize data in 2D/3D spaces. Therefore, TPSLVM will benefit this process. Experimental results show that TPSLVM provides better data visualization and more efficient dimensionality reduction than GPLVM.
Original languageEnglish
Title of host publicationProceedings of the 2012 International Joint Conference on Neural Networks (IJCNN)
Place of PublicationUnited States
PublisherIEEE, Institute of Electrical and Electronics Engineers
Pages1-8
Number of pages8
ISBN (Electronic)9781467314886
DOIs
Publication statusPublished - 2012
EventIEEE International Joint Conference on Neural Networks: IJCNN 2012 - Brisbane Convention Centre, Brisbane, Australia
Duration: 10 Jun 201215 Jun 2012
https://web.archive.org/web/20120510232940/http://www.ieee-wcci2012.org/ (Conference website)

Conference

ConferenceIEEE International Joint Conference on Neural Networks
CountryAustralia
CityBrisbane
Period10/06/1215/06/12
OtherThe 2012 IEEE World Congress on Computational Intelligence (IEEE WCCI 2012) is the largest technical event in the field of computational intelligence. It will host three conferences: the 2012 International Joint Conference on Neural Networks (IJCNN 2012), the 2012 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2012), and the 2012 IEEE Congress on Evolutionary Computation (IEEE CEC 2012). IEEE WCCI 2012 will be held in Brisbane, a awe-inspiring city situated along the Brisbane River and the eastern coast line of Australia. The congress will provide a stimulating forum for scientists, engineers, educators, and students from all over the world to discuss and present their research findings on computational intelligence.
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