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Dec 29, 2019 at 13:45 comment added BLaursen No specific function or class, except continuous differentiable functions. I was hoping one could do something inspired by a Taylor approximation that uses information about the derivatives of $f$, but is linear in parameters so that OLS can be used.
Dec 27, 2019 at 2:16 history edited kjetil b halvorsen
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Dec 26, 2019 at 14:57 comment added whuber Do you have a specific $f$ or class of $f$ in mind? Note that transforming the $y$ variable produces a different model because the random variables $\varepsilon_i$ are no longer added to $f.$ One routine solution to to use splines, not polynomials.
Dec 26, 2019 at 11:04 history asked BLaursen CC BY-SA 4.0