Hierarchical Gaussian process latent variable models

  • Authors:
  • Neil D. Lawrence;Andrew J. Moore

  • Affiliations:
  • University of Manchester, Manchester, U.K.;University of Sheffield, Sheffield, U.K.

  • Venue:
  • Proceedings of the 24th international conference on Machine learning
  • Year:
  • 2007

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Abstract

The Gaussian process latent variable model (GP-LVM) is a powerful approach for probabilistic modelling of high dimensional data through dimensional reduction. In this paper we extend the GP-LVM through hierarchies. A hierarchical model (such as a tree) allows us to express conditional independencies in the data as well as the manifold structure. We first introduce Gaussian process hierarchies through a simple dynamical model, we then extend the approach to a more complex hierarchy which is applied to the visualisation of human motion data sets.