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Tracking the Dimensions of Latent Spaces of Gaussian Process Latent Variable Models

  • Stony Brook University

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Determining the number of latent variables, or the dimensions of latent states, is a ubiquitous problem in dimension reduction. In this paper, we introduce a novel sequential method that relies on the Bayesian approach to estimate the dimension of a latent space of a Gaussian process latent variable model. The proposed method also considers settings where the number of latent variables varies with time. To evaluate our methodology, we compared the estimated dimensions with the true dimensions as they vary with time. Results on synthetic data demonstrate that our method has a very good performance.

Original languageEnglish
Title of host publication2022 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2022 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4193-4197
Number of pages5
ISBN (Electronic)9781665405409
DOIs
StatePublished - 2022
Event2022 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2022 - Hybrid, Singapore
Duration: May 22 2022May 27 2022

Publication series

NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume2022-May
ISSN (Print)1520-6149

Conference

Conference2022 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2022
Country/TerritorySingapore
CityHybrid
Period05/22/2205/27/22

Keywords

  • Dimension reduction
  • Gaussian processes
  • Latent Variables

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