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Subject [GitHub] [incubator-singa] chrishkchris edited a comment on issue #488: SINGA -475 add Sign operator to singa
Date Fri, 09 Aug 2019 10:12:08 GMT
chrishkchris edited a comment on issue #488: SINGA -475 add Sign operator to singa
URL: https://github.com/apache/incubator-singa/pull/488#issuecomment-519856801
 
 
   In my opinion:
   For the function y=sign(x) , y = 1 when x > 0, y = -1 when x < 0. Therefore, the
derivative is 0 except x = 0. 
   The function y=sign(x) is discontinuous at x=0 where the derivative is undefined in the
mathematical logic. However, an undefined derivative leads to a nan number if we use it for
backpropagation, so instead we used a derivative of zero also at x=0.
   
   As a result, dx is always 0 while the output shape (size of array) is the same as input
shape.

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