Works (4)
Updated: July 5th, 2023 15:59
2005 journal article
A Geometric Programming Framework for Univariate Cubic L 1 Smoothing Splines
Annals of Operations Research, 133(1-4), 229–248.
author keywords: smoothing spline; geometric programming; data fitting; shape preservation; sensitivity analysis
TL;DR:
The minimization principle for univariate cubic L1 smoothing splines results in a nondifferentiable convex optimization problem that, for theoretical treatment and algorithm design, can be formulated as a generalized geometric program.
(via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018
2005 journal article
Shape-preserving properties of univariate cubic L-1 splines
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 174(2), 361–382.
author keywords: convexity; cubic L-1 spline; geometric programming; interpolation; linearity; shape preservation
doi.org (publisher)
Sources: Web Of Science, ORCID
Added: August 6, 2018
2004 journal article
An efficient algorithm for generating univariate cubic L-1 splines
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 29(2), 219–253.
author keywords: active set method; convex programming; cubic L-1 spline; geometric programming
TL;DR:
An active set based algorithm for calculating the coefficients of univariate cubic L1 splines is developed that outperforms a currently widely used discretization-based primal affine algorithm.
(via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018
2002 journal article
Univariate cubic L-1 splines - A geometric programming approach
MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 56(2), 197–229.
author keywords: cubic L-1 spline; geometric programming; interpolation; spline function; univariate
TL;DR:
In the natural norm for this class of problems, namely, the L1 norm of the second derivative, the geometric programming approach finds better solutions than the previously used discretization method.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
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