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I want to experiment with smoothing splines, specifically on higher dimensional data (4 or more variables). How do I go about finding some nice data suitable for this? I also don't mind if it's synthetic data.

The examples I see online usually use very simple cases (of course this is better for learning the concept).

I want to do some comparisons between methods of spacing the knots, using a penalty term or not, visualising the model fits for higher dimensions, etc.

Thanks in advance.

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