Multivariate epi-splines and evolving function identification problems
From MaRDI portal
Publication:505618
DOI10.1007/s11228-015-0329-4zbMath1356.41004OpenAlexW407929954MaRDI QIDQ505618
Roger J.-B. Wets, Johannes O. Royset
Publication date: 26 January 2017
Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11228-015-0329-4
constrained optimizationepi-convergencefunction approximationinfinite-dimensional optimizationepi-splinesshape restriction
Numerical computation using splines (65D07) Numerical optimization and variational techniques (65K10) Set-valued and variational analysis (49J53) Multidimensional problems (41A63) Spline approximation (41A15)
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Cites Work
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- Fusion of hard and soft information in nonparametric density estimation
- Approximation by piecewise constants on convex partitions
- Exponential box splines
- Box splines
- On Polya frequency functions. IV: The fundamental spline functions and their limits
- A Convergence Theory for Saddle Functions
- Constrained penalized splines
- A Smoothest Curve Approximation
- Least Squares Smoothing of Univariate Data to achieve Piecewise Monotonicity
- The Minimum Sum of Squares Change to Univariate Data that gives Convexity
- Local Approximation by Certain Spaces of Exponential Polynomials, Approximation Order of Exponential Box Splines, and Related Interpolation Problems
- Convexity-Preserving Polynomial Splines of Non-uniform Degree
- Spline Functions on Triangulations
- On Shape Preserving Quadratic Spline Interpolation
- On Multivariate B-Splines
- Variational Analysis
- A variational approach to splines
- Smoothing Splines and Shape Restrictions
- Shape-preserving interpolation of spatial data by Pythagorean-hodograph quintic spline curves