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Splines are flexible functions, knit together from polynomial parts, used for approximation or smoothing. This tag is for any kind of spline (eg, B-splines, regression splines, thin-plate splines, etc).

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I am making some simulation in order to show the performance of the Spline Regression vs other methods like Smoothing Splines, Hodric Prescott filter, etc., I would like to knot if it's better to …
asked Mar 12 by RScrlli
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I am working with spline regression and in this step what I want to do is to somehow reduce the number of knots by applying backward selection. Technically what I am doing is to delete sequentially o …
asked Feb 18 by RScrlli
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When fitting a B-spline for regression purposes I've seen a lot of cases where knots are fixed uniformly ,but in some situations this could lead to poor estimations because the behaviour of the curve …
asked Dec 1 '18 by RScrlli
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It's wide known that for polynomial interpolation Chebyshev sites (as knots) are almost optimal, we can show that using those the Lebesgue constant is near to the lower bound. Is that claim also vali …
asked Jan 15 by RScrlli
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I came up with a idea to estimate the coefficients of a B-spline fit by using the Fourier Transform but I don't know if it makes any sense to estimate them in this way. Given that $$s(x)=\sum_kc(k)\ …
asked Nov 26 '18 by RScrlli
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close to its lower bound if we put our knots in those sites. A practical guide to splines (De Boor, 1972) for example provides such a proof. Anyway I am not interested in polynomial interpolation with … splines, but in regression using LASSO on a set of B-splines . On Numerical methods in economics (Judd, 1998) it's stated that the results regarding the 'optimality' of the Chebyshev sites hold also …
asked Jan 14 by RScrlli
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I am currently working on a method for adaptive knot placement in Spline regression. Following Osborne et.al. (1998), Yuan et.al. (2014) I am interested in using LASSO regression to select a subset of …
asked Jan 29 by RScrlli
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al.(2001) I would like to apply backward selection in order to prune that potential-knot-vector. Let $m=k+n$ where $k$ is the order of the splines and $n$ is the number of internal knots …
asked Feb 24 by RScrlli
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I was wondering if we need the response variable to be ergodic stationarity when estimating an OLS spline regression. My intuition tells me that it's not needed but I would like to have a confirmation …
asked Feb 6 by RScrlli