swMATH ID: 8988
Software Authors: Xuming He, Pin Ng
Description: COBS: qualitatively constrained smoothing via linear programming. Popular smoothing techniques generally have a difficult time accommodating qualitative constraints like monotonicity, convexity or boundary conditions on the fitted function. In this paper, we attempt to bring the problem of constrained spline smoothing to the foreground and describe the details of a constrained B-spline smoothing (COBS) algorithm that is being made available to S-plus-users. Recent work of He & Shi (1998) considered a special case and showed that the L 1 projection of a smooth function into the space of B-splines provides a monotone smoother that is flexible, efficient and achieves the optimal rate of convergence. Several options and generalizations are included in COBS: it can handle small or large data sets either with user interaction or full automation. Three examples are provided to show how COBS works in a variety of real-world applications.
Homepage: http://link.springer.com/article/10.1007%2Fs001800050019
Related Software: R; cobs; SemiPar; gamair; SparseM; SPARSKIT; quantreg; FITPACK; fda (R); Algorithm 478; KernSmooth; TWILIGHT; twilight; StFinMetrics; Sweave; WSMP; MUMPS; UMFPACK; FSDA; UCI-ml
Referenced in: 29 Publications

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