# Second-Order Cone Programming for P-Spline Simulation Metamodeling

arXiv: https://arxiv.org/abs/1506.05536 · HTML: https://mlsanity.com/paper/1506.05536/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 18 Jun 2015.

## Built on by (most cited first, 1 of 1)

- [Identifying Simulation Model Through Alternative Techniques for a Medical Device Assembly Process](https://mlsanity.com/paper/2309.15094/) (2023)

## Abstract (arXiv)

This paper approximates simulation models by B-splines with a penalty on high-order finite differences of the coefficients of adjacent B-splines. The penalty prevents overfitting. The simulation output is assumed to be nonnegative. The nonnegative spline simulation metamodel is casted as a second-order cone programming model, which can be solved efficiently by modern optimization techniques. The method is implemented in MATLAB/GNU Octave.