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We present several theoretical contributions which allow Lie groups to be fit to high dimensional datasets.
An iterative image registration technique with an application to stereo vision
B.D. Lucas and T. Kanade · 1981
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Eigentracking: Robust matching and tracking of articulated objects using a view-based representation
M. J. Black and A. D. Jepson · 1996
Earlier work this paper cites.
Emergence of simple-cell receptive field properties by learning a sparse code for natural images
BA Olshausen and David J Field · 1996
Earlier work this paper cites.
Multiresolution tangent distance for affine invariant classification
N. Vasconcelos and A. Lippman · 1997
Earlier work this paper cites.
Tracking people with twists and exponential maps
Christoph Bregler and Jitendra Malik · 1998
Earlier work this paper cites.
Independent Component Filters of Natural Images Compared with Simple Cells in Primary Visual Cortex
J H van Hateren and A van der Schaaf · 1998
Earlier work this paper cites.
Probabilistic framework for the adaptation and comparison of image codes
M.S. Lewicki and B.A. Olshausen · 1999
Earlier work this paper cites.
Learning lie groups for invariant visual perception
R.P.N Rao and D.L. Ruderman · 1999
Cited alongside, same era.
The computation of the exponential and logarithmic mappings and their first and second linearizations
M. Ortiz, R.A. Radovitzky, and E.A Repetto · 2001
Cited alongside, same era.
Map-seeking circuits in visual cognition: a computational mechanism for biological and machine vision
D.W. Arathorn · 2002
Cited alongside, same era.
Overview of the h.264/avc video coding standard
W. Wiegand, G.J. Sullivan, G. Bjontegaard, and A. Luthra · 2003
Cited alongside, same era.
Efficient auditory coding
Evan C Smith and Michael S Lewicki · 2006
Cited alongside, same era.
Learning the lie groups of visual invariance
X. Miao and R.P.N. Rao · 2007
Cited alongside, same era.
Resampling volume or image with affine matrix
J. Shen · 2008
Later among the works it cites.
Minimum distance between pattern transformation manifolds: Algorithm and applications
E. Kokiopoulou and P. Frossard · 2009
Later among the works it cites.
Learning transport operators for image manifolds
B.J. Culpepper and B.A. Olshausen · 2010
Closest in time.
Learning to represent spatial transformations with factored higher-order boltzmann machines
R Memisevic and G Hinton · 2010
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Lie group transformation models for predictive video coding
C.M. Wang, J. Sohl-Dickstein, I. Tosic, and B.A. Olshausen · 2011
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Seeing through the blur
H Mobahi, CL Zitnick, and Y Ma · 2012
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Bilinear models of natural images
B.A. Olshausen, C. Cadieu, B.J. Culpepper, and D. Warland · 2007
Cited alongside, same era.
Learning the irreducible representations of commutative lie groups
Taco Cohen and Max Welling · 2014
Closest in time.