Tackling GNARLy Problems: Graph Neural Algorithmic Reasoning Reimagined through Reinforcement Learning

Fuente: arXiv
Saved in:
Bibliographic Details
Main Authors: Schutz, Alex, Darvariu, Victor-Alexandru, Panagiotaki, Efimia, Lacerda, Bruno, Hawes, Nick
Format: Preprint
Published: 2025
Subjects:
Online Access:
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866911404812926976
author Schutz, Alex
Darvariu, Victor-Alexandru
Panagiotaki, Efimia
Lacerda, Bruno
Hawes, Nick
author_facet Schutz, Alex
Darvariu, Victor-Alexandru
Panagiotaki, Efimia
Lacerda, Bruno
Hawes, Nick
contents Neural Algorithmic Reasoning (NAR) is a paradigm that trains neural networks to execute classic algorithms by supervised learning. Despite its successes, important limitations remain: inability to construct valid solutions without post-processing and to reason about multiple correct ones, poor performance on combinatorial NP-hard problems, and inapplicability to problems for which strong algorithms are not yet known. To address these limitations, we reframe the problem of learning algorithm trajectories as a Markov Decision Process, which imposes structure on the solution construction procedure and unlocks the powerful tools of imitation and reinforcement learning (RL). We propose the GNARL framework, encompassing the methodology to translate problem formulations from NAR to RL and a learning architecture suitable for a wide range of graph-based problems. We achieve very high graph accuracy results on several CLRS-30 problems, performance matching or exceeding much narrower NAR approaches for NP-hard problems and, remarkably, applicability even when lacking an expert algorithm.
format Preprint
id arxiv_https___arxiv_org_abs_2509_18930
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Tackling GNARLy Problems: Graph Neural Algorithmic Reasoning Reimagined through Reinforcement Learning
Schutz, Alex
Darvariu, Victor-Alexandru
Panagiotaki, Efimia
Lacerda, Bruno
Hawes, Nick
Machine Learning
Artificial Intelligence
Neural Algorithmic Reasoning (NAR) is a paradigm that trains neural networks to execute classic algorithms by supervised learning. Despite its successes, important limitations remain: inability to construct valid solutions without post-processing and to reason about multiple correct ones, poor performance on combinatorial NP-hard problems, and inapplicability to problems for which strong algorithms are not yet known. To address these limitations, we reframe the problem of learning algorithm trajectories as a Markov Decision Process, which imposes structure on the solution construction procedure and unlocks the powerful tools of imitation and reinforcement learning (RL). We propose the GNARL framework, encompassing the methodology to translate problem formulations from NAR to RL and a learning architecture suitable for a wide range of graph-based problems. We achieve very high graph accuracy results on several CLRS-30 problems, performance matching or exceeding much narrower NAR approaches for NP-hard problems and, remarkably, applicability even when lacking an expert algorithm.
title Tackling GNARLy Problems: Graph Neural Algorithmic Reasoning Reimagined through Reinforcement Learning
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2509.18930