4_28_09_MinimalWiring

4_28_09_MinimalWiring - Ocular- dominance columns develop...

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Unformatted text preview: Ocular- dominance columns develop slowly after birth, as this autoradio- graphs from the developing kitten cortex shows. This model develops quasi-periodic columns, with variations due to random initial conditions. Optical imaging (9 12 mm) shows that the cortex represents orientation selectivity in orderly, pinwheel- like maps of columns of cells. In a model of cortical develop- ment, the input- correlation matrix emerges from interactions between cells in the LGN. When one superimposes different cortical maps, interesting relationships arise. Does the lawful organization of multiple cortical maps follow a computational rationale? Hypothesis: The multi-dimensional visual space projects to a two-dimensional cortex such that features that need to be together are together. In other words, how do we lay multiple maps onto a 2D cortex in a sensible way? As an example of dimension- ality reduction, take a mapping from 2D to 1D, such that neighbors in 2D are close in 1D. where > 0 is a constant. > 0 is a constant....
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4_28_09_MinimalWiring - Ocular- dominance columns develop...

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