Citation Relationships



Miao X, Rao RP (2007) Learning the Lie groups of visual invariance. Neural Comput 19:2665-93 [PubMed]

References and models cited by this paper

References and models that cite this paper

Bell AJ, Sejnowski TJ (1995) An information-maximization approach to blind separation and blind deconvolution. Neural Comput 7:1129-59 [PubMed]

Black MJ, Jepson A (1996) EigenTracking: Robust matching and tracking of articulated objects using a view-based representation Proceedings of the Fourth European Conference on Computer Vision, ECCV96, Buxton B:Cipolla R, ed. pp.329

Dempster AP, Laird NM, Rubin DB (1977) Maximum likelihood from incomplete data via the EM algorithm. J R Stat Soc B 39:1-38

Dodwell PC (1983) The Lie transformation group model of visual perception. Percept Psychophys 34:1-16 [PubMed]

Eves H (1980) Elementary matrix theory

Foldiak P (1991) Learning invariance from transformation sequences Neural Comput 3:194-200

Frey BJ, Jojic N (1999) Estimating mixture models of images and inferring spatial transformations using the em algorithm IEEE Computer Vision and Pattern Recognition :416-422

Fukushima K (1980) Neocognitron: a self organizing neural network model for a mechanism of pattern recognition unaffected by shift in position. Biol Cybern 36:193-202 [PubMed]

Gibson J (1966) The senses considered as perceptual systems

Grimes DB, Rao RP (2005) Bilinear sparse coding for invariant vision. Neural Comput 17:47-73 [Journal] [PubMed]

Helgason S (2001) Differential geometry, Lie groups, and symmetric spaces

Hinton GE (1987) Learning translation invariant recognition in a massively parallel network PARLE: Parallel architectures and languages Europe , Goos G:Hartmanis J, ed. pp.1

Isard M, Blake A (1996) Contour tracking by stochastic propogation of conditional density Proc 4th European Conf Computer Vision :343-356

Lecun Y, Boser B, Denker JS, Henderson D, Howard RE, Hubbard W, Jackel LD (1989) Backpropagation applied to handwritten zip code recognition Neural Comput 1:541-551

Marks RJ (1991) Introduction to Shannon sampling and interpolation theory

Nordberg K (1994) Signal representation and processing using operator groups Tech Rep Linkoping Studies in Science and Technology, Dissertations No. 366

Olshausen BA, Anderson CH, Van Essen DC (1995) A multiscale dynamic routing circuit for forming size- and position-invariant object representations. J Comput Neurosci 2:45-62 [PubMed]

Olshausen BA, Field DJ (1996) Emergence of simple-cell receptive field properties by learning a sparse code for natural images. Nature 381:607-9 [Journal] [PubMed]

Pitts W, Mcculloch WS (1947) How we know universals. Bull Math Biophys 9:127-147

Rao RP, Ballard DH (1998) Development of localized oriented receptive fields by learning a translation-invariant code for natural images. Network 9:219-34 [PubMed]

Rao RP, Ballard DH (1999) Predictive coding in the visual cortex: a functional interpretation of some extra-classical receptive-field effects. Nat Neurosci 2:79-87 [Journal] [PubMed]

Rao RPN, Ruderman DL (1999) Learning Lie groups for invariant visual perception Advances in neural information processing systems, Kearns MS:Solla S:Cohn D, ed. pp.810

Shi J, Tomasi C (1994) Good features to track Proc IEEE CVPR 94:593-600

Simard P, Lecun Y, Denker J (1993) Efficient pattern recognition using a new transformation distance Advances in neural information processing systems, Giles C:Hanson S:Cowan J, ed. pp.50

Tenenbaum JB, Freeman WT (2000) Separating style and content with bilinear models. Neural Comput 12:1247-83 [PubMed]

van_Gool L, Moons T, Pauwels E, Oosterlinck A (1995) Vision and Lies approach to invariance Image Vis Comput 13:259-277

Vasconcelos N, Lippman A (2005) A multiresolution manifold distance for invariant image similarity IEEE Trans Multimedia 7:127-142

Vasilescu MAO, Terzopoulos D (2002) Multilinear Analysis of Image Ensembles: Tensor Faces Proc European Conf Comput Vis :447-460

Wang JA, Adelson EH (1994) Representing moving images with layers. IEEE Trans Image Process 3:625-38 [Journal] [PubMed]

Wiskott L, Sejnowski TJ (2002) Slow feature analysis: unsupervised learning of invariances. Neural Comput 14:715-70 [Journal] [PubMed]

(30 refs)