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  Developing population codes by minimizing description length (1994) [27 citations — 8 self]

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by Richard S. Zemel, Geoffrey E. Hinton
Neural Computation
http://www.u.arizona.edu/~zemel/Papers/mdl-popCode.ps.gz
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Abstract:

The Minimum Description Length principle (MDL) can be used to train the hidden units of a neural network to extract a representation that is cheap to describe but nonetheless allows the input to be reconstructed accurately. We show how MDL can be used to develop highly redundant population codes. Each hidden unit has a location in a low-dimensional implicit space. If the hidden unit activities form a bump of a standard shape in this space, they can be cheaply encoded by the center of this bump. So the weights from the input units to the hidden units in an autoencoder are trained to make the activities form a standard bump. The coordinates of the hidden units in the implicit space are also learned, thus allowing flexibility, as the network develops a discontinuous topography when presented with different input classes. 1

Citations

750 Self organzed formation of topologically correct feature maps – Kohonen - 1982
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134 An analogue approach to the travelling salesman problem using an elastic net method – Durbin, Willshaw - 1987
103 Neuronal population coding of movement direction – Georgopoulos, Schwartz, et al. - 1986
91 Autoencoders, minimum description length and Helmholtz free energy – Hinton, Zemel - 1994
88 A neural-gas network learns topologies – Martinetz, Schulten - 1991
74 Surface learning with applications to lipreading – Bregler, Omohundro - 1994
33 Dimensionality-reduction using connectionist networks – Saund - 1989
30 Derivation of a class of training algorithms – Luttrell - 1990
22 Application of the elastic net algorithm to the formation of ocular dominance stripes. Network – Goodhill, Willshaw - 1990
18 Arbitrary elastic topologies and ocular dominance – Dayan - 1993
8 A neural network model for the formation and for the spatial structure of retinotopic maps, orientation and ocular dominance columns – Obermayer, Blasdel, et al. - 1991
1 Learning topology-preserving maps using self-supervised backpropagation on a parallel machine – Ossen - 1992