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Ridge/Lasso Lambda greater than 1

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I ran Ridge and Lasso regressions using an algorithm to automatically find the optimum lambda.

However, the algorithm couldn’t find an optimum lambda between 0 and 1. In some cases I could find optimum lambdas that were a lot higher than 1 (sometimes 4 or 5 or even higher).

What does that exactly mean? I always read that the optimum lambda is mostly just a little higher than 0 and definitely not higher than one.

Does it mean that ridge and lasso aren’t applicable in that case?

Thx a lot in advance,
Tobias


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