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We present a new probabilistic model of compact commutative Lie groups that produces invariant-equivariant and disentangled representations of data.
Group Theoretical Methods in Image Understanding
Kanatani, K · 1990
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A Note on the Theory of n-Variable Generalized Bessel Functions
Dattoli, G., Chiccoli, C., Lorenzutta, S., Maino, G., Richetta, M., and Torre, A · 1991
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Learning Lie groups for invariant visual perception
Rao, R. P. N. and Ruderman, D. L · 1999
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Transformation invariance in pattern recognition: Tangent distance and propagation
Simard, P. Y., Le Cun, Y. A., Denker, J. S., and Victorri, B · 2000
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Exponential Family Harmoniums with an Application to Information Retrieval
Welling, M., Rosen-zvi, M., and Hinton, G · 2005
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Unsupervised learning of a steerable basis for invariant image representations
Bethge, M., Gerwinn, S., and Macke, J. H · 2007
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The generalized von Mises distribution
Gatto, R. and Jammalamadaka, S. R · 2007
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Learning the Lie groups of visual invariance
Miao, X. and Rao, R. P. N · 2007
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Extracting and composing robust features with denoising autoencoders
Vincent, P., Larochelle, H., Bengio, Y., and Manzagol, P · 2008
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Measuring invariances in deep networks
Goodfellow, I. J., Le, Q. V., Saxe, A. M., Lee, H., and Ng, A. Y · 2009
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Actionable information in vision
Soatto, S · 2009
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Learning to Represent Spatial Transformations with Factored Higher-Order Boltzmann Machines
Memisevic, R. and Hinton, G. E · 2010
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An unsupervised algorithm for learning lie group transformations
Sohl-Dickstein, J., Wang, J. C., and Olshausen, B. A · 2010
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Learning intermediate-level representations of form and motion from natural movies
Cadieu, C. F. and Olshausen, B. A · 2012
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On multi-view feature learning
Memisevic, R · 2012
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Representation Learning: A Review and New Perspectives
Bengio, Y., Courville, A., and Vincent, P · 2013
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International Conference on Learning Representations, 2014
Bengio, Y. and Lecun, Y · 2014
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