An O(n) algorithm for least squares quasi-convex approximation

DOI10.1016/0898-1221(87)90185-4zbMath0635.65009OpenAlexW2072729993MaRDI QIDQ1097626

Vasant A. Ubhaya

Publication date: 1987

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(87)90185-4

zbMATH Keywords

weight functioncurve fittingstatistical estimationquasi-convex functionbest fitparametric formworst-case time complexityleast squares distance function

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical mathematical programming methods (65K05) General nonlinear regression (62J02)

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Characterizing best isotone approximations in \(L_p\) spaces, \(1 \leq p < \infty\), \(L_ p\) approximation by quasi-convex and convex functions, Uniform approximation by a non-convex cone of continuous functions, An \(O(n)\) algorithm for weighted least squares regression by integer quasi-convex and unimodal or umbrella functions, Fitting a least squares piecewise linear continuous curve in two dimensions, \(L_ p\)-approximation from nonconvex subsets of special classes of functions, Efficient algorithms for the inverse sorting problem with bound constraints under the \(l_{\infty }\)-norm and the Hamming distance, Approximation complexity for piecewise monotone functions and real data

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