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Winner-Take-All equation

Winner-Take-All function tex2html_wrap_inline202 is defined by

equation76

By this function, a real vector tex2html_wrap_inline210 is transformed into a unit vector tex2html_wrap_inline212 as

eqnarray83

In the above equation, tex2html_wrap_inline216 is satisfied. Therefore, the function tex2html_wrap_inline202 chooses the maximum element of tex2html_wrap_inline210 , and then gives the maximum element of 1 and the other elements of 0. I found the pseudo expression of tex2html_wrap_inline202 which is given by

eqnarray92

where

equation100

tex2html_wrap_inline242 approaches to tex2html_wrap_inline202 under the limit ( tex2html_wrap_inline172 ).


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Up: Discontinuous functions Previous: Examples for and

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