Opuscula Math. 31, no. 4 (2011), 481-499
http://dx.doi.org/10.7494/OpMath.2011.31.4.481
Opuscula Mathematica
A mixed integer nonlinear programming formulation for the problem of fitting positive exponential sums to empirical data
Abstract. In this work we deal with exponential sum models coming from data acquisition in the empirical sciences. We present a two step approach based on Tikhonov regularization and combinatorial optimization, to obtain stable parameter estimations, which fit the data. We develop properties of the solutions, based on their optimality conditions. Some numerical experiments are shown to illustrate our approach.
Keywords: mixed integer nonlinear programming, regularization, nonlinear least squares.
Mathematics Subject Classification: 90C11, 90C46, 65F22.
- Adalys Alvarez
- Universidad Nacional Abierta, Área de Matemática, Centro Local Lara (Barquisimeto), Venezuela
- Hugo Lara
- Universidad Centroccidental Lisandro Alvarado, Decanato de Ciencia y Tecnología (Barquisimeto), Venezuela
- Received: 2010-07-20.
- Revised: 2010-11-12.
- Accepted: 2010-11-26.
