Quote:
Originally Posted by antinucleon
Thanks dear prof first!
Assume we start at init hypothesis  =(0, 0, 0), init target function is  =(0.5, 2, 5)
As  ,  equals 0 or 1,  = (1, 0.5, 3) etc
When in iteration,  , as  and  can only be 0 or 1, so the hypothesis function's threshold may be quite different from the target function, right?
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In your case, the target function is equivalently

,

, so it can still be implemented with the PLA model even with integer

. But of course, learning is not for replicating the target function, but for approximating it. In practice the learned hypothesis is somewhat different from the target function more often than not. Hope this helps.