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@article{Hohenberg1992,
title = {Effects of additive noise at the onset of Rayleigh-B\'enard convection},
author = {Hohenberg, PC and Swift, JB},
journal = {Phys. Rev. A},
volume = {46},
issue = {8},
pages = {4773--4785},
numpages = {0},
year = {1992},
month = {Oct},
publisher = {American Physical Society},
doi = {10.1103/PhysRevA.46.4773},
url = {http://link.aps.org/doi/10.1103/PhysRevA.46.4773}
}
@article{Reichl2012,
author = {Reichl, L and Heide, D and L\"owel, S and Crowley, JC and Kaschube, M and Wolf, F},
journal = {PLoS Comput Biol},
publisher = {Public Library of Science},
title = {Coordinated Optimization of Visual Cortical Maps (I) Symmetry-based Analysis},
year = {2012},
month = {11},
volume = {8},
url = {http://dx.doi.org/10.1371%2Fjournal.pcbi.1002466},
pages = {e1002466},
abstract = {<title>Author Summary</title><p>Neurons in the visual cortex form spatial representations or maps of several stimulus features. How are different spatial representations of visual information coordinated in the brain? In this paper, we study the hypothesis that the coordinated organization of several visual cortical maps can be explained by joint optimization. Previous attempts to explain the spatial layout of functional maps in the visual cortex proposed specific optimization principles ad hoc. Here, we systematically analyze how optimization principles in a general class of models impact on the spatial layout of visual cortical maps. For each considered optimization principle we identify the corresponding optima and analyze their spatial layout. This directly demonstrates that by studying map layout and geometric inter-map correlations one can substantially constrain the underlying optimization principle. In particular, we study whether such optimization principles can lead to spatially complex patterns and to geometric correlations among cortical maps as observed in imaging experiments.</p>},
number = {11},
doi = {10.1371/journal.pcbi.1002466}
}