GPLVMs dimensionality reduction for motion
synthesis and dynamic pattern recognition
Theory:
N.D. Lawrence "Gaussian Process Latent Variable Models for Visualisation of High Dimensional Data" NIPS, 2004.
ftp://ftp.dcs.shef.ac.uk/home/neil/gplvm.pdf
Lawrence, N. D. (2005) "Probabilistic non-linear principal component analysis with Gaussian process latent variable models"
Journal of Machine Learning Research, 6, 1783-1816.
http://portal.acm.org/citation.cfm?id=1194904N.D. Lawrence, J.Quiñonero-Candela "Local Distance Preservation in the GP-LVM through Back Constraints"
Proc. 23 rd Int. Conf. on Machine Learning, Pittsburgh, PA, 2006.
http://portal.acm.org/citation.cfm?id=1143909 Slides: ftp://ftp.dcs.shef.ac.uk/home/neil/backConstraintsBeamer.pdf
Related online lectures:
http://videolectures.net/psm08_lawrence_hmm/All recent related articles on GPLVMs:
http://www.cs.man.ac.uk/neill-bin/publications/bibpage.cgi?authoreditor=%28neil+d.+lawrence%29&sortYear=1A. Geiger, R. Urtasun, T. Darrell "Rank Priors for Continuous Non-Linear Dimensionality Reduction"
http://ttic.uchicago.edu/~rurtasun/publications/geiger_et_al_cvpr09.pdfR. Urtasun, D.J. Fleet, A. Geiger, J. Popović, T.J. Darrell, N.D. Lawrence
"Topologically-constrained latent variable models" In Proc. 25th Int. Conf. ICML, 2008.
http://people.csail.mit.edu/rurtasun/publications/urtasun_et_al_icml08.pdf Motion synthesis:
K.Grochow, S.L. Martin, A.Hertzmann, Z.Popović (2004) "Style-Based Inverse Kinematics"
Proc. of ACM SIGGRAPH 2004, ACM Trans. on Graphics, Volume 23 , Issue 3, pp.522-531.
http://grail.cs.washington.edu/projects/styleik/J.M. Wang, D.J. Fleet, A. Hertzmann "Gaussian Process Dynamical Models for Human Motion"
IEEE Trans. on Pattern Recognition and Machine Intelligence, Vol.30, No.2, 2008.
Wang, J. M., Fleet, D. J., Hertzmann, A. "Gaussian Process Dynamical Models"
In Proc. NIPS 2005. December, 2005. Vancouver, Canada. pp. 1441-1448.
http://www.cs.toronto.edu/~fleet/research/Papers/NIPS2005.pdftwo last articles are here:
http://www.dgp.toronto.edu/~jmwang/gpdm/Y.Ye, C.K.Liu "Synthesis of Responsive Motion Using a Dynamic Model"
Eurographics 2010. T. Akenine-Möller, M. Zwicker (Eds.) Vol.29 (2010), N.2
the paper and supl. videos are here:
http://www.cc.gatech.edu/~yuting/EG10.htmlS. Bitzer, S. Vijayakumar "Latent Spaces for Dynamic Movement Primitives"
9th IEEE-RAS Int. Conf. 'Humanoids2009', Paris, France.
Motion tracking:
S.Hou, A.Galata, F.Caillette, N.Thacker, P.Bromiley
"Real-time Body Tracking Using a Gaussian Process Latent Variable Model"
ICCV 2007. IEEE 11th International Conference on Computer Vision, 2007.
http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=4408946F. Guo, G. Qian "Multi-view tracking of articulated human motion in
silhouette and pose manifolds" In Proc. ICASSP 2009.
http://ame2.asu.edu/faculty/qian/Publications/ICASSP-09-Multiview-Tracking.pdf"GP for Monocular 3D People tracking", lecture (2006):
http://videolectures.net/gpip06_urtasun_gpm3p/http://ttic.uchicago.edu/~rurtasun/ some math:
Mcharinadcharinalin Ionutt Guttcharina (2002)
"Gaussian processes in non-commutative probability theory"
http://dare.ubn.kun.nl/handle/2066/19119http://webdoc.ubn.kun.nl/mono/g/guta_m/gausprinn.pdfNoncommutative Harmonic Analysis with Applications to Probability II
http://helios.impan.pl/bc/Cont/bc89-0.html