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I am trying to adjust penalty, lambda, in group lasso regression, but I have no idea about it. I am wondering is there any theory or rule about maximum and minimum value of lambda based on x, input, and y, response? I need an automatic procedure to determine the minimum and maximum value of penalty b/c I have more than 10 thousands of response variables which regress on more than 500 independent variables. I appreciate if anyone can help me, I am new in regression field.

Thanks.

user4704857
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