Quote:
Originally Posted by GraceLAX
I drew a line between two points on the xy plane [-1,1] in both directions.
Then I randomly generated another 10 points, assigning them +1 if they fell above the line and -1 if they fell below the line. I stored those values in ideal function g.
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That would be
(the target function). The symbol
is reserved for the final hypothesis that the PLA will produce (which should be close to
).
Quote:
Originally Posted by GraceLAX
Then I gave each point a random first guess of +1/-1 as my initial function h.
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The initial function
must be a perceptron rather than a random assignment of
's.
Quote:
Originally Posted by GraceLAX
If I start with all the weights as 0, then w*x = 0 for all points.
At that rate, PLA will never converge.
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If you start with a zero weight vector, and take
, pick any point for the first iteration. When you update the weight vector,
uses the
target 
, so that won't be zero.