Can we interpret this phenomenon simply as an overfitting problem? It seems really similar.

Gundam

I don't see the relationship between this and overfitting... For me it's more like Gibbs phenomenon when we try to recover the square wave with high frequency components.

rmvenkat

@SnackMixer I think you're right. The fact that we get worse approximation with higher degree polynomials seems similar to overfitting.

supernova

bit confused why we cannot interpolate these high-degree polys to approximate?

hmm

Is this the same issue we saw with using Bernstein polynomials of degree >3 for Bezier curves?

Can we interpret this phenomenon simply as an overfitting problem? It seems really similar.

I don't see the relationship between this and overfitting... For me it's more like Gibbs phenomenon when we try to recover the square wave with high frequency components.

@SnackMixer I think you're right. The fact that we get worse approximation with higher degree polynomials seems similar to overfitting.

bit confused why we cannot interpolate these high-degree polys to approximate?

Is this the same issue we saw with using Bernstein polynomials of degree >3 for Bezier curves?

I think it is.