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CVPR
2003
IEEE
14 years 9 months ago
Statistics of Shape via Principal Geodesic Analysis on Lie Groups
Principal component analysis has proven to be useful for understanding geometric variability in populations of parameterized objects. The statistical framework is well understood ...
P. Thomas Fletcher, Conglin Lu, Sarang C. Joshi
CVPR
2009
IEEE
13 years 11 months ago
Nonlinear Nonnegative Component Analysis
In this paper general solutions for Nonlinear Nonnegative Component Analysis for data representation and recognition are proposed. That is, motivated by a combination of the Nonne...
Stefanos Zafeiriou, Maria Petrou
JMLR
2002
160views more  JMLR 2002»
13 years 7 months ago
Kernel Independent Component Analysis
We present a class of algorithms for independent component analysis (ICA) which use contrast functions based on canonical correlations in a reproducing kernel Hilbert space. On th...
Francis R. Bach, Michael I. Jordan
ICASSP
2008
IEEE
14 years 2 months ago
Reproducing kernel Hilbert spaces for spike train analysis
This paper introduces a generalized cross-correlation (GCC) measure for spike train analysis derived from reproducing kernel Hilbert spaces (RKHS) theory. An estimator for GCC is ...
António R. C. Paiva, Il Park, Jose C. Princ...
MIAR
2006
IEEE
14 years 1 months ago
Statistics of Pose and Shape in Multi-object Complexes Using Principal Geodesic Analysis
Abstract. A main focus of statistical shape analysis is the description of variability of a population of geometric objects. In this paper, we present work in progress towards mode...
Martin Styner, Kevin Gorczowski, P. Thomas Fletche...