Algorithms to solve unbounded convex vector optimization problems
This paper is concerned with solution algorithms for general convex vector optimization
problems (CVOPs). So far, solution concepts and approximation algorithms for solving …
problems (CVOPs). So far, solution concepts and approximation algorithms for solving …
Convergence analysis of a norm minimization-based convex vector optimization algorithm
In this work, we propose an outer approximation algorithm for solving bounded convex
vector optimization problems (CVOPs). The scalarization model solved iteratively within the …
vector optimization problems (CVOPs). The scalarization model solved iteratively within the …
Deep learning the efficient frontier of convex vector optimization problems
Z Feinstein, B Rudloff - Journal of Global Optimization, 2024 - Springer
In this paper, we design a neural network architecture to approximate the weakly efficient
frontier of convex vector optimization problems (CVOP) satisfying Slater's condition. The …
frontier of convex vector optimization problems (CVOP) satisfying Slater's condition. The …
Geometric duality results and approximation algorithms for convex vector optimization problems
We study geometric duality for convex vector optimization problems. For a primal problem
with a-dimensional objective space, we formulate a dual problem with a-dimensional …
with a-dimensional objective space, we formulate a dual problem with a-dimensional …
Algorithms for DC Programming via Polyhedral Approximations of Convex Functions
FM Pirani, F Ulus - arXiv preprint arXiv:2309.05487, 2023 - arxiv.org
There is an existing exact algorithm that solves DC programming problems if one
component of the DC function is polyhedral convex (Loehne, Wagner, 2017). Motivated by …
component of the DC function is polyhedral convex (Loehne, Wagner, 2017). Motivated by …
[PDF][PDF] Approximation algorithms for difference of convex (DC) programming problems
FM Pirani - 2023 - repository.bilkent.edu.tr
We also propose an algorithm (Algorithm 3) for solving DC programming problems directly.
In each iteration, Algorithm 3 updates the polyhedral underestimator of g locally while …
In each iteration, Algorithm 3 updates the polyhedral underestimator of g locally while …