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Scipion

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  1. Hi everyone,

    i'm a very beginner in Machine Learning and i hope that you can help me a bit.

    I'm working on Linear discriminants and i have to solve this problem :

     

    What are the values of weights : w0, w1, w2 for perceptron whose decision boundary is illustrated here :

     

     

     

     

    graphml.png

     

     

    The decision boundary looks like a trivial function : 2/3x + 2

    However, i don't know how to determine the weight.

    I know that : g(x) = W^t * X + w0 (where capital letters are vectors).

    when g(x)>0 : i decide omega1

    g(x)<0 : omega2

    g(x) = 0 : it corresponds to the decision boundary.

     

    In my set of datas, i have some label x1 and some label x2. (according to their positions)

     

    However, i don't know how to find the values for the weights.

    If anyone has an idea.

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