# Dictionary:ℓp fit

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The parameters that produce estimations yi to a set of data points yi such that the differences between the data and the estimates (the errors ei=yiyi) minimizes

${\displaystyle \Psi =\sum _{j}^{p}|w_{j}e_{j}|}$

where wi are weighting factors. If p=1, this yields the least-absolute deviation fit; for p=2, least-squares; for p=infinity, the minimax or Chebychev results.