TY  - JOUR
ID  - Alvarez2011
LB  - Alvarez2011
AU  - Alvarez, Adalys
AU  - Lara, Hugo
TI  - A mixed integer nonlinear programming formulation for the problem of fitting positive exponential sums to empirical data
ST  - A mixed integer nonlinear programming formulation for the problem of fitting positive exponential sums to empirical data
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2011
VL  - 31
IS  - 4
SP  - 481
EP  - 499
DO  - http://dx.doi.org/10.7494/OpMath.2011.31.4.481
UR  - http://dx.doi.org/10.7494/OpMath.2011.31.4.481
AB  - 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.
KW  - mixed integer nonlinear programming
KW  - regularization
KW  - nonlinear least squares
SN  - 1232-9274
ER  -