A MIXED INTEGER NONLINEAR PROGRAMMING FORMULATION FOR THE PROBLEM OF FITTING POSITIVE EXPONENTIAL SUMS TO EMPIRICAL DATA

被引：0

作者：

Alvarez, Adalys ^{[1
]}

Lara, Hugo ^{[2
]}

机构：

[1] Univ Nacl Abierta, Area Matemat, Ctr Local Lara Barquisimeto, Caracas, Venezuela

[2] Univ Centroccidental Lisandro Alvarado, Decanato Ciencia & Tecnol Barquisimeto, Barquisimeto, Venezuela

来源：

OPUSCULA MATHEMATICA | 2011年 / 31卷 / 04期

关键词：

mixed integer nonlinear programming; regularization; nonlinear least squares;

D O I：

10.7494/OpMath.2011.31.4.481

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：481 / 499

页数：19

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