arXiv subjects

Leo Doktorski

Publications and source records attributed to Leo Doktorski.

2 recordsLinked to original sources

arXiv2018

Improved Time of Arrival measurement model for non-convex optimization with noisy data

The quadratic system provided by the Time of Arrival technique can be solved analytical or by optimization algorithms. In real environments the measurements are always corrupted by noise. This measurement noise effects the analytical solution more than non-linear optimization algorithms. On the other hand it is also true that local optimization tends to find the local minimum, instead of the global minimum. This article presents an approach how this risk can be significantly reduced in noisy environments. The main idea of our approach is to transform the local minimum to a saddle point, by increasing the number of dimensions.

eess.SP↗

arXiv2018

Improved Time of Arrival measurement model for non-convex optimization

The quadratic system provided by the Time of Arrival technique can be solved analytically or by optimization algorithms. In practice, a combination of both methods is used. An important problem in quadratic optimization is the possible convergence to a local minimum, instead of the global minimum. This article presents an approach how this risk can be significantly reduced. The main idea of our approach is to transform the local minimum to a saddle point, by increasing the number of dimensions. In contrast to similar methods such as, dimension lifting does our problem remains non-convex.

math.OC↗