Divide and Conquer: Provably Unveiling the Pareto Front with Multi-Objective Reinforcement Learning

Fuente: arXiv
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Auteurs principaux: Röpke, Willem, Reymond, Mathieu, Mannion, Patrick, Roijers, Diederik M., Nowé, Ann, Rădulescu, Roxana
Format: Preprint
Publié: 2024
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author Röpke, Willem
Reymond, Mathieu
Mannion, Patrick
Roijers, Diederik M.
Nowé, Ann
Rădulescu, Roxana
author_facet Röpke, Willem
Reymond, Mathieu
Mannion, Patrick
Roijers, Diederik M.
Nowé, Ann
Rădulescu, Roxana
contents An important challenge in multi-objective reinforcement learning is obtaining a Pareto front of policies to attain optimal performance under different preferences. We introduce Iterated Pareto Referent Optimisation (IPRO), which decomposes finding the Pareto front into a sequence of constrained single-objective problems. This enables us to guarantee convergence while providing an upper bound on the distance to undiscovered Pareto optimal solutions at each step. We evaluate IPRO using utility-based metrics and its hypervolume and find that it matches or outperforms methods that require additional assumptions. By leveraging problem-specific single-objective solvers, our approach also holds promise for applications beyond multi-objective reinforcement learning, such as planning and pathfinding.
format Preprint
id arxiv_https___arxiv_org_abs_2402_07182
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Divide and Conquer: Provably Unveiling the Pareto Front with Multi-Objective Reinforcement Learning
Röpke, Willem
Reymond, Mathieu
Mannion, Patrick
Roijers, Diederik M.
Nowé, Ann
Rădulescu, Roxana
Machine Learning
An important challenge in multi-objective reinforcement learning is obtaining a Pareto front of policies to attain optimal performance under different preferences. We introduce Iterated Pareto Referent Optimisation (IPRO), which decomposes finding the Pareto front into a sequence of constrained single-objective problems. This enables us to guarantee convergence while providing an upper bound on the distance to undiscovered Pareto optimal solutions at each step. We evaluate IPRO using utility-based metrics and its hypervolume and find that it matches or outperforms methods that require additional assumptions. By leveraging problem-specific single-objective solvers, our approach also holds promise for applications beyond multi-objective reinforcement learning, such as planning and pathfinding.
title Divide and Conquer: Provably Unveiling the Pareto Front with Multi-Objective Reinforcement Learning
topic Machine Learning
url https://arxiv.org/abs/2402.07182