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Forgive me if the subject of this post is not accurate, I'm not quite sure what the correct terminology would be for what I'm trying to figure out.

Currently I am using linear least squares via SVD to find the coefficients of a ten term polynomial, say f. This model allows me to predict some output y given some input x. Thats straightforward.

What I would like to be able to do is turn this around and find a function g where g would take an input x, and output some y' such that f( y' ) = x.

Is this familiar to anyone? I'm totally stumped.

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# Inverse linear least squares?

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