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How different feature spaces may be represented in cortical maps

How different feature spaces may be represented in cortical maps,10.1088/0954-898X/15/4/001,Network-computation in Neural Systems,N. V. Swindale

How different feature spaces may be represented in cortical maps   (Citations: 20)
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This paper explores how different high-dimensional feature spaces might be represented in cortical maps, subject to continuity and completeness constraints. Spaces explored included products of circular variables (such as orientation), products of linear dimensions encoding scalar features (such as spatial frequency) and products of binary features. Maps were generated using the Kohonen algorithm, with uniform or non-uniform stimulus distributions. A 2D retina was always assumed to be present. Simulations were run with and without annealing. For uniform input distributions, coverage uniformity (Swindale 1991 Biol. Cybern. 65 415-24) was used to measure how well the map was able to represent the feature space. For non-uniform distributions a weighted measure of coverage uniformity was calculated. Good coverage could be achieved for up to five or six cyclic variables but was substantially worse for a similar number of uniformly distributed scalar features. For annealed maps of multi-dimensional stimuli with Gaussian distributions, the distribution of receptive field centres and the distribution of total activity evoked on the cortex matched the stimulus distribution well. For annealed maps of non-uniformly distributed binary features there was an approximately linear relationship between the area of a map devoted to a specific feature and the probability of occurrence of the feature during development. Deviations from uniform retinotopy often led to improved coverage.
Journal: Network-computation in Neural Systems - NETWORK-COMPUT NEURAL SYST , vol. 15, no. 4, pp. 217-242, 2004
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    • ...This ratio of standard deviations was based upon a previous study utilizing SOFMs to investigate V1 topographies (Swindale 2004)...
    • ...At the globally orthogonal end of the continuum, the secondary features share local orthogonality withboththeprimaryandunconstrainedfeatures.Ourresults show that the effect of feature dominance was reduced when morefeatureswereadded,i.e.,theprimaryfeaturerequireda greater relative weighting to achieve dominance when more featuresweremapped.Apreviousstudyofthenumberoffeatures likely to be mapped using SOFM algorithms (Swindale 2004) gave an ...

    Paul V. Watkinset al. A computational framework for topographies of cortical areas

    • ...Swindale [46] suggested that cyclic variables may have an advantage that the maps representing these variables can wrap around without compromising continuity and edge effects...

    Hanlin Gohet al. Fuzzy Associative Conjuncted Maps Network

    • ... Computational analyses have shown that the discontinuities that are found in a mosaic-like map are unavoidable whenever multiple stimulus properties (such as orientation, direction of motion and spatial frequency) are mapped onto the two-dimensional cortical shee...

    Johannes Haushoferet al. Interpreting fMRI data: maps, modules and dimensions

    • ...(Bressloff et al. 2001; Bressloff and Cowan 2003; Swindale 2004, 2000; Ben 2003; Ben and Zucker 2004)...

    Alessandro Sartiet al. The symplectic structure of the primary visual cortex

    • ...In V1, many modeling studies suggest that competing intracortical influences result in observed functional organizations for ocular dominance and orientation(Swindale,2004).InV2,studiessuggest aninterdigitation of different featural maps that parallel the stripe-like organization revealedincytochromeoxidasestains(RoeandTs’o,1995;Swindale, 2004)...
    • ...In V1, many modeling studies suggest that competing intracortical influences result in observed functional organizations for ocular dominance and orientation(Swindale,2004).InV2,studiessuggest aninterdigitation of different featural maps that parallel the stripe-like organization revealedincytochromeoxidasestains(RoeandTs’o,1995;Swindale, 2004)...

    Gang Chenet al. A Map for Horizontal Disparity in Monkey V2

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