English

Neural-trust-region algorithm for unconstrained optimization (Part 1)

Optimization and Control 2020-05-26 v5

Abstract

In this paper (part 1), we describe a derivative-free trust-region method for solving unconstrained optimization problems. We will discuss a method when we relax the model order assumption and use artificial neural network techniques to build a computationally relatively inexpensive model. We directly find an estimate of the objective function minimizer without explicitly constructing a model function. Therefore, we need to have the neural-network model derivatives, which can be obtained simply through a back-propagation process.

Keywords

Cite

@article{arxiv.2004.09058,
  title  = {Neural-trust-region algorithm for unconstrained optimization (Part 1)},
  author = {Mostafa Rezapour and Thomas Asaki},
  journal= {arXiv preprint arXiv:2004.09058},
  year   = {2020}
}
R2 v1 2026-06-23T14:57:26.072Z