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We reimplement here the recent approach of Adam Zsolt Wagner [arXiv:2104.14516], which applies reinforcement learning to construct (counter)examples in graph theory, in order to make it more readable, more stable and much faster. The…

Combinatorics · Mathematics 2024-04-02 Mohammad Ghebleh , Salem Al-Yakoob , Ali Kanso , Dragan Stevanovic

Reinforcement learning (RL) is a subfield of machine learning that focuses on developing models that can autonomously learn optimal decision-making strategies over time. In a recent pioneering paper, Wagner demonstrated how the Deep…

Machine Learning · Computer Science 2026-04-15 Ivan Damnjanović , Uroš Milivojević , Irena Đorđević , Dragan Stevanović

In 2021, Adam Zsolt Wagner proposed an approach to disprove conjectures in graph theory using Reinforcement Learning (RL). Wagner's idea can be framed as follows: consider a conjecture, such as a certain quantity f(G) < 0 for every graph G;…

Graph Neural Networks (GNNs) have become the backbone for a myriad of tasks pertaining to graphs and similar topological data structures. While many works have been established in domains related to node and graph classification/regression…

Machine Learning · Computer Science 2022-09-07 Appan Rakaraddi , Siew Kei Lam , Mahardhika Pratama , Marcus De Carvalho

Contrastive learning has emerged as a premier method for learning representations with or without supervision. Recent studies have shown its utility in graph representation learning for pre-training. Despite successes, the understanding of…

Machine Learning · Computer Science 2023-02-07 Amur Ghose , Yingxue Zhang , Jianye Hao , Mark Coates

Graphs are a natural representation for systems based on relations between connected entities. Combinatorial optimization problems, which arise when considering an objective function related to a process of interest on discrete structures,…

Machine Learning · Computer Science 2024-08-21 Victor-Alexandru Darvariu , Stephen Hailes , Mirco Musolesi

We study the problem of adversarially robust self-supervised learning on graphs. In the contrastive learning framework, we introduce a new method that increases the adversarial robustness of the learned representations through i)…

Machine Learning · Computer Science 2021-02-26 Nikola Jovanović , Zhao Meng , Lukas Faber , Roger Wattenhofer

Learning a graph with a specific structure is essential for interpretability and identification of the relationships among data. It is well known that structured graph learning from observed samples is an NP-hard combinatorial problem. In…

Machine Learning · Statistics 2019-09-26 Sandeep Kumar , Jiaxi Ying , Jos'e Vin'icius de M. Cardoso , Daniel P. Palomar

Graphs are fundamental mathematical structures used in various fields to represent data, signals and processes. In this paper, we propose a novel framework for learning/estimating graphs from data. The proposed framework includes (i)…

Machine Learning · Computer Science 2017-07-07 Hilmi E. Egilmez , Eduardo Pavez , Antonio Ortega

In recent years deep reinforcement learning (RL) systems have attained superhuman performance in a number of challenging task domains. However, a major limitation of such applications is their demand for massive amounts of training data. A…

The Laplacian representation recently gains increasing attention for reinforcement learning as it provides succinct and informative representation for states, by taking the eigenvectors of the Laplacian matrix of the state-transition graph…

Machine Learning · Computer Science 2021-07-13 Kaixin Wang , Kuangqi Zhou , Qixin Zhang , Jie Shao , Bryan Hooi , Jiashi Feng

Meta-reinforcement learning trains a single reinforcement learning agent on a distribution of tasks to quickly generalize to new tasks outside of the training set at test time. From a Bayesian perspective, one can interpret this as…

Machine Learning · Computer Science 2025-11-20 Joery A. de Vries , Jinke He , Mathijs M. de Weerdt , Matthijs T. J. Spaan

Logic optimization is an NP-hard problem commonly approached through hand-engineered heuristics. We propose to combine graph convolutional networks with reinforcement learning and a novel, scalable node embedding method to learn which local…

Machine Learning · Computer Science 2021-05-06 Xavier Timoneda , Lukas Cavigelli

We provide a framework for exploring physics beyond the Standard Model with reinforcement learning using graph representations of new physics theories. The graph structure allows for model-building without a priori specifying definite…

High Energy Physics - Phenomenology · Physics 2024-07-11 George N. Wojcik , Shu Tian Eu , Lisa L. Everett

We consider the problem of inferring the unobserved edges of a graph from data supported on its nodes. In line with existing approaches, we propose a convex program for recovering a graph Laplacian that is approximately diagonalizable by a…

Signal Processing · Electrical Eng. & Systems 2020-10-16 T. Mitchell Roddenberry , Madeline Navarro , Santiago Segarra

We present a novel approach to graph drawing based on reinforcement learning for minimizing the global and the local crossing number, that is, the total number of edge crossings and the maximum number of crossings on any edge, respectively.…

Computational Geometry · Computer Science 2025-09-09 Timo Brand , Henry Förster , Stephen Kobourov , Robin Schukrafft , Markus Wallinger , Johannes Zink

The increasing share of renewable energy and distributed electricity generation requires the development of deep learning approaches to address the lack of flexibility inherent in traditional power grid methods. In this context, Graph…

Machine Learning · Computer Science 2026-01-08 Mohamed Hassouna , Clara Holzhüter , Pawel Lytaev , Josephine Thomas , Bernhard Sick , Christoph Scholz

This study addresses the challenge of forming effective groups in collaborative problem-solving environments. Recognizing the complexity of human interactions and the necessity for efficient collaboration, we propose a novel approach…

Computers and Society · Computer Science 2024-03-18 Zheng Fang , Fucai Ke , Jae Young Han , Zhijie Feng , Toby Cai

Graphs can be used to represent and reason about systems and a variety of metrics have been devised to quantify their global characteristics. However, little is currently known about how to construct a graph or improve an existing one given…

Machine Learning · Computer Science 2021-10-28 Victor-Alexandru Darvariu , Stephen Hailes , Mirco Musolesi

Optimization problems over dynamic networks have been extensively studied and widely used in the past decades to formulate numerous real-world problems. However, (1) traditional optimization-based approaches do not scale to large networks,…

Machine Learning · Computer Science 2023-05-17 Daniele Gammelli , James Harrison , Kaidi Yang , Marco Pavone , Filipe Rodrigues , Francisco C. Pereira
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