On-center and Off-center cell competition generates oriented receptive fields from non-orie.pdf

ON-CENTER AND OFF-CENTERCELL COMPETITION GENERATESORIENTED RECEPTIVE FIELDSFROM NON-ORIENTED STIMULI INKOHONENS SELF-ORGANIZINGMAPMaximilian Riesenhuber;yHans-Ulrich BauerTheo Geiselmax@ai.mit.edu, fbauer,geiselg@chaos.uni-frankfurt.deInst. fur Theor. Physik, SFB Nichtlin. Dynamik, Univ. FrankfurtRobert-Mayer-Str. 8{10, 60054 Frankfurt/Main, GermanyPresent address: Center for Biological Computational Learningand Department of Brain Cognitive SciencesMassachusetts Institute of Technology, Cambridge, MA 02142SummaryIntroductionThe self-organization of sensotopic maps, in particular of visual maps, contin-ues to be an area of great interest in computational neuroscience. In order todistinguish between the dierent map formation models and between the spe-cic self-organization mechanisms they assume, their behavior with regard toan as large number of physiological, anatomical or theoretical constraints asycorresponding authorPres.: Poster; Cat.: Theory and Analysis (A); Theme: Visual System (E.1); possible has to be investigated. An interesting case in point is the developmentof oriented receptive elds from stimulus distributions or stimuli with rota-tional symmetry, i.e., without orientation. This physiologically quite plausiblesymmetry breaking phenomenon has been observed in several models for theself-organization of receptive elds [1] or orientation maps [2, 3], which assumeda competition of On-center and O-center cells, with rotational symmetry ofthe stimulus autocorrelation function. Whereas these models are characterizedby a linear kernel operating on the aerent activity distribution and mediatingthe lateral interaction, a major competing model, Kohonens Self-OrganizingMap (SOM, [4]), employs a strongly non-linear lateral interaction function.This nonlinearity is presumably responsible for the successful reproduction ofseveral properties of visual maps in respective SOM-models, like the wideningof ocular dominance bands as a consequence of decreased sti