Three points method for searching the best least absolute deviations plane (Q734853)
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scientific article; zbMATH DE number 5614835
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Three points method for searching the best least absolute deviations plane |
scientific article; zbMATH DE number 5614835 |
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Three points method for searching the best least absolute deviations plane (English)
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14 October 2009
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A new method for estimating optimal parameters of a best least absolute deviations (LAD) plane is proposed, which is based on the fact that there always exists a best LAD plane passing through at least three different data points. A modification to the foregoing method is also proposed, that is especially adjusted to the case of a large number of data and the need to estimate parameters in real time [cf. \textit{M. A. Fischler} et al., Graphics Image Process. 24, 381--395 (1981)]. These methods are illustrated and tested on several numerical examples.
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least absolute deviations
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LAD
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\(l_1\)-norm approximation
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weighted medium problem
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