Threshold Function

In math, a threshold function is a special class of step function, with a definition of the kind:

f T ( x ) := IF ( x > T ) THEN ( 1 ) ELSE ( 0 ) = { 1 | x > T 0 | x T

Some things to note about this function. First, it only has 2 different values for its output: 1 and 0. Second, the place where it changes from 0 to 1 (and vice versa) is at the input value of T. Third is that a threshold function is not a continuous function, however a left continuous function.


Threshold functions have wide usage. One example is with some types of artificial neurons.

-- Mirza Charles Iliya Krempeaux
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