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arXiv · 1506.02823

Multiibjective optimization : an inertial dynamical approach to Pareto optima

Hédy Attouch·Guillaume Garrigos
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Abstract

We present some first results concerning a gradient-based dynamic approach to multi-objective optimization problems, involving inertial effects. We prove the existence of global solution trajectories for this second-order differential equation, and their convergence to weak Pareto points in the convex case. It is a first step towards the design of fast numerical methods for multi-objective optimization.

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Hédy Attouch, Guillaume Garrigos. 2015-06-09. Multiibjective optimization : an inertial dynamical approach to Pareto optima. https://arxiv.org/abs/1506.02823

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