why we multiply our label y with plane equation
About linear constraint
Hey @ishaan_123, if a point lies on one side of plane say positive hyperplane, than the value of w1x1 + w2x2 +… + b will be positive, and for point lying on negative side of hyperplane will have w1x1 +w2x2 +… +b <0. And according to our function, our requirement is that,
w1x1 + w2x2 + +b > 0 for points belonging to class y = 1
w1x2 + w2x2 + + b <0 for points belonging to class y = -1
So instead of writing these two equations separately we can combine them into one.
(w1x1 + w2x2 + … +b ) * y >0 for all points. This will satisfy for both +1 as well as -1 class.
Hope this resolved your doubt.
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