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Smooth Function Academic Question #6

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@semajping

Dear SuTan:

The smooth function conclusion of Jacobi's solution is given directly in the paper, but I want to know why.

So I did the derivation of smooth function myself, I feel confused.

Assume Loss value E = SIGMA(||P(t) - C(t)||^2 + a * SIGMA(w * ||P(t) - P(r)||^2)
(a means lamda coef)

In order to make value E smaller,I want to take the derivative of E first(Is this true?)
I have 2P(t) - 2C(t) + 2 * a * SIGMA( w * ||P(t) - P(r) ) = 0 , then use Jacobi's solution
but I have an extra 2 before P(t) and C(t), Did I derive it wrong?

I'm going mad, I dreamed about that extra 2 these days

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