Neural Networks and Polynomial Interpolation

Revision en1, by supernova., 2018-01-27 20:57:50

Hello everyone!

I know this topic is a little bit far from usual competitive programming, but I was wondering if anyone here could help me in understanding this little concept.

I've been into machine learning lately, and I was wondering about the difference between a "Learning Function" and "Polynomial Interpolation". Consider a dataset where we have a set of points (x0, x1, ..., xn) and their corresponding images (y0, y1, ..., yn). Now if we want to have a neural network that learns the function f(x) = y, isn't that the same as constructing an interpolating polynomial that fits the points? Or is there a hidden difference between the two concepts?

Tags machine learning, polynomial interpolation, neural networks

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en1 English supernova. 2018-01-27 20:57:50 713 Initial revision (published)