Fitting a least squares piecewise linear continuous curve in two dimensions (Q5948769)
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scientific article; zbMATH DE number 1671993
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fitting a least squares piecewise linear continuous curve in two dimensions |
scientific article; zbMATH DE number 1671993 |
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Fitting a least squares piecewise linear continuous curve in two dimensions (English)
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12 November 2001
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The general problem of fitting a multilinear curve to a set of \(n\) data points in two dimensions, defined by \(k\) linear segments, which minimizes a weighted least squares error function is considered. An algorithm of worst-case complexity \(O(n)\) for obtaining an optimal solution in the case \(k=2\) is presented. The correctness of this algorithm is proved.
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least squares regression
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nonlinear regression
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worst-case complexity
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algorithm
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curve fitting
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