Variational Gaussian Process Dynamical Systems

Andreas DamianouMichalis K. TitsiasNeil D. Lawrence
,  24, 2011.

Abstract

High dimensional time series are endemic in applications of machine learning such as robotics (sensor data), computational biology (gene expression data), vision (video sequences) and graphics (motion capture data). Practical nonlinear probabilistic approaches to this data are required. In this paper we introduce the variational Gaussian process dynamical system. Our work builds on recent variational approximations for Gaussian process latent variable models to allow for nonlinear dimensionality reduction simultaneously with learning a dynamical prior in the latent space. The approach also allows for the appropriate dimensionality of the latent space to be automatically determined. We demonstrate the model on a human motion capture data set and a series of high resolution video sequences.

Cite this Paper


BibTeX
@InProceedings{pmlr-v-damianou-vgpds11, title = {Variational Gaussian Process Dynamical Systems}, author = {Andreas Damianou and Michalis K. Titsias and Neil D. Lawrence}, year = {}, editor = {}, volume = {24}, address = {Cambridge, MA}, url = {http://inverseprobability.com/publications/damianou-vgpds11.html}, abstract = {High dimensional time series are endemic in applications of machine learning such as robotics (sensor data), computational biology (gene expression data), vision (video sequences) and graphics (motion capture data). Practical nonlinear probabilistic approaches to this data are required. In this paper we introduce the variational Gaussian process dynamical system. Our work builds on recent variational approximations for Gaussian process latent variable models to allow for nonlinear dimensionality reduction simultaneously with learning a dynamical prior in the latent space. The approach also allows for the appropriate dimensionality of the latent space to be automatically determined. We demonstrate the model on a human motion capture data set and a series of high resolution video sequences.} }
Endnote
%0 Conference Paper %T Variational Gaussian Process Dynamical Systems %A Andreas Damianou %A Michalis K. Titsias %A Neil D. Lawrence %B %C Proceedings of Machine Learning Research %D %E %F pmlr-v-damianou-vgpds11 %I PMLR %J Proceedings of Machine Learning Research %P -- %U http://inverseprobability.com %V %W PMLR %X High dimensional time series are endemic in applications of machine learning such as robotics (sensor data), computational biology (gene expression data), vision (video sequences) and graphics (motion capture data). Practical nonlinear probabilistic approaches to this data are required. In this paper we introduce the variational Gaussian process dynamical system. Our work builds on recent variational approximations for Gaussian process latent variable models to allow for nonlinear dimensionality reduction simultaneously with learning a dynamical prior in the latent space. The approach also allows for the appropriate dimensionality of the latent space to be automatically determined. We demonstrate the model on a human motion capture data set and a series of high resolution video sequences.
RIS
TY - CPAPER TI - Variational Gaussian Process Dynamical Systems AU - Andreas Damianou AU - Michalis K. Titsias AU - Neil D. Lawrence BT - PY - DA - ED - ID - pmlr-v-damianou-vgpds11 PB - PMLR SP - DP - PMLR EP - L1 - UR - http://inverseprobability.com/publications/damianou-vgpds11.html AB - High dimensional time series are endemic in applications of machine learning such as robotics (sensor data), computational biology (gene expression data), vision (video sequences) and graphics (motion capture data). Practical nonlinear probabilistic approaches to this data are required. In this paper we introduce the variational Gaussian process dynamical system. Our work builds on recent variational approximations for Gaussian process latent variable models to allow for nonlinear dimensionality reduction simultaneously with learning a dynamical prior in the latent space. The approach also allows for the appropriate dimensionality of the latent space to be automatically determined. We demonstrate the model on a human motion capture data set and a series of high resolution video sequences. ER -
APA
Damianou, A., Titsias, M.K. & Lawrence, N.D.. (). Variational Gaussian Process Dynamical Systems. , in PMLR :-

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