Problem 45854. Least Absolute Deviations (L1-norm) line fit - degree n
This is a generalization of Problem 45851 for degree n
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You are given two vectors X and Y (coordinates of observations on a plane), and a degree d of the underlying model. Return a row vector P with the d+1 coefficients of the best-fit polynomial, in the L1-norm sense. I.e., find P of degree d that minimizes sum( abs( Y - polyval(P,X) ) ) .
(compare your results with polyfit on the test suite!)
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3 Comments
Rafael S.T. Vieira
on 18 Sep 2020
The problem with L1-norm is that It may have more than one possible solution. And the test suite should probably take this into account. (And the test suite also needs some fixing.)
PS: It's probably why people usually prefer the L2-norm instead of L1,L3 or LN-norm.
Are Mjaavatten
on 17 Apr 2021
In Test 3, input variable d is set to 3 but left out in the call to LADfit. Thus is probably an oversight.
goc3
on 19 Apr 2021
@Are Mjaavatten: the function call in test 3 has been fixed to include all three inputs.
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