What exactly is a norm? Is it a method to calculate length/distance/magnitude of a vector? Why are there multiple ways (L-1,L-2,L-P) to calculate the length/distance/magnitude of a vector ?
I can’t seem to find an easy to understand explanation online. Please explain.
In: 3
yes, basically it’s a generalisation of the “length” of a vector in your vector space.
the whole L1, L2, etc are ways to measure your distance. I learned it as “L1 is a taxicab path” meaning on a field of squares you take the route alongside the squares (think roads in an area like Manhattan). while L2 is the “direct” way (which might take you through some buildings in the taxi example).
this site imho explains it pretty well if you want more details.
https://www.kaggle.com/code/residentmario/l1-norms-versus-l2-norms/notebook
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