What is radial basis function (RBF) and how does it work?
In: Mathematics
what part of it do you want explained and at what level? (like if you just heard the term and want to have a vague idea, do you study math and want to know how it differs from a “normal” basis or are you interested in neural networks and came across the term in that context?)
it generally is a good idea to provide a few words to describe what you’re looking for to make it easier for everyone else to help you.
basically a radial basis function is a function that measures how far away the function values are from a given point.
a basis is a group of vectors/directions that allow you to reach any given point in a space. think x-y in 2d-graphs: if you go through every value for x and y you get to every point on that graph.
a radial basis for the same thing would be radius from the origin and angle.
all points with the same radius have the same distance from the centre.
and sometimes you dont care if you’re off because you’re too high/too low/too far right/too far left/etc, you just care by how much you’re off from you goal.
that’s where radial functions shine. (and that’s why they’re often used for neural networks, to help them gauge how well an iteration is compared to the previous one)
does that help?
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