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To afford flexible behaviour, the brain must build internal representations that mirror the structure of variables in the external world.
Cognitive maps in rats and men
Edward C Tolman · 1948
Earlier work this paper cites.
Some informational aspects of visual perception
Fred Attneave · 1954
Earlier work this paper cites.
Possible principles underlying the transformation of sensory messages
Horace B Barlow et al · 1961
Earlier work this paper cites.
Representation Theory: A First Course
William Fulton and Joe Harris · 1991
Earlier work this paper cites.
Shape representation in the inferior temporal cortex of monkeys
Nikos K Logothetis, Jon Pauls, and Tomaso Poggio · 1995
Earlier work this paper cites.
Rotation matrices for real spherical harmonics. direct determination by recursion
Joseph Ivanic and Klaus Ruedenberg · 1996
Earlier work this paper cites.
Emergence of simple-cell receptive field properties by learning a sparse code for natural images
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
Learning hierarchical structures with linear relational embedding
Alberto Paccanaro and Geoffrey E Hinton · 2001
Earlier work this paper cites.
Lie Groups Beyond an Introduction
Anthony W. Knapp · 2002
Earlier work this paper cites.
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Earlier work this paper cites.
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Bogdan Dumitrescu · 2007
Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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