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Extremal optimization is a new general-purpose method for approximating solutions to hard optimization problems. We study the method in detail by way of the NP-hard graph partitioning problem. We discuss the scaling behavior of extremal…

Statistical Mechanics · Physics 2009-11-07 S. Boettcher , A. G. Percus

Graph neural networks (GNNs) are a type of neural network capable of learning on graph-structured data. However, training GNNs on large-scale graphs is challenging due to iterative aggregations of high-dimensional features from neighboring…

Machine Learning · Computer Science 2024-09-18 Nikolai Merkel , Pierre Toussing , Ruben Mayer , Hans-Arno Jacobsen

Reinforcement Learning (RL) is increasingly applied to large-scale decision-making problems like logistics, scheduling, and recommender systems, but existing algorithms struggle with the curse of dimensionality in such large discrete action…

Machine Learning · Computer Science 2026-05-12 Heiko Hoppe , Fabian Akkerman , Wouter van Heeswijk , Maximilian Schiffer

Scalability of Graph Neural Networks (GNNs) remains a significant challenge. To tackle this, methods like coarsening, condensation, and computation trees are used to train on a smaller graph, resulting in faster computation. Nonetheless,…

Machine Learning · Computer Science 2026-04-13 Shubhajit Roy , Hrriday Ruparel , Kishan Ved , Anirban Dasgupta

Deep reinforcement learning (DRL) has empowered a variety of artificial intelligence fields, including pattern recognition, robotics, recommendation-systems, and gaming. Similarly, graph neural networks (GNN) have also demonstrated their…

Machine Learning · Computer Science 2022-11-09 Sai Munikoti , Deepesh Agarwal , Laya Das , Mahantesh Halappanavar , Balasubramaniam Natarajan

The success of machine learning solutions for reasoning about discrete structures has brought attention to its adoption within combinatorial optimization algorithms. Such approaches generally rely on supervised learning by leveraging…

Machine Learning · Computer Science 2022-03-17 Ismail R. Alkhouri , George K. Atia , Alvaro Velasquez

The Max-k-Cut problem is a fundamental combinatorial optimization challenge that generalizes the classic NP-complete Max-Cut problem. While relaxation techniques are commonly employed to tackle Max-k-Cut, they often lack guarantees of…

Optimization and Control · Mathematics 2025-06-12 Yeqing Qiu , Ye Xue , Akang Wang , Yiheng Wang , Qingjiang Shi , Zhi-Quan Luo

The graph partitioning problem (GPP) is a representative combinatorial optimization problem which is NP-hard. Currently, various approaches to solve GPP have been introduced. Among these, the GPP solution using evolutionary computation (EC)…

Neural and Evolutionary Computing · Computer Science 2018-05-07 Hye-Jin Kim , Yong-Hyuk Kim

Social bot detection is pivotal for safeguarding the integrity of online information ecosystems. Although recent graph neural network (GNN) solutions achieve strong results, they remain hindered by two practical challenges: (i) severe class…

Social and Information Networks · Computer Science 2026-02-26 Longlong Zhang , Xi Wang , Haotong Du , Yangyi Xu , Zhuo Liu , Yang Liu

Graph neural networks (GNNs) have attracted widespread attention for their impressive capability of graph representation learning. However, the increasing prevalence of large-scale graphs presents a significant challenge for GNN training…

Machine Learning · Computer Science 2025-05-13 Xinyi Gao , Hongzhi Yin , Tong Chen , Guanhua Ye , Wentao Zhang , Bin Cui

Graph neural networks (GNNs) have pushed the state-of-the-art (SOTA) for performance in learning and predicting on large-scale data present in social networks, biology, etc. Since integrated circuits (ICs) can naturally be represented as…

Machine Learning · Computer Science 2022-11-30 Lilas Alrahis , Johann Knechtel , Ozgur Sinanoglu

Combinatorial optimization (CO) on graphs is a classic topic that has been extensively studied across many scientific and industrial fields. Recently, solving CO problems on graphs through learning methods has attracted great attention.…

Artificial Intelligence · Computer Science 2023-12-20 Ruibin Zeng , Minglong Lei , Lingfeng Niu , Lan Cheng

Combinatorial optimization (CO) problems are challenging as the computation time grows exponentially with the input. Graph Neural Networks (GNNs) show promise for researchers in solving CO problems. This study investigates the effectiveness…

Optimization and Control · Mathematics 2024-11-12 Chenchuhui Hu

Learning to predict solutions to real-valued combinatorial graph problems promises efficient approximations. As demonstrated based on the NP-hard edge clique cover number, recurrent neural networks (RNNs) are particularly suited for this…

Machine Learning · Statistics 2019-11-20 Nil-Jana Akpinar , Bernhard Kratzwald , Stefan Feuerriegel

Deep Reinforcement Learning (DRL) has shown a dramatic improvement in decision-making and automated control problems. Consequently, DRL represents a promising technique to efficiently solve many relevant optimization problems (e.g.,…

Networking and Internet Architecture · Computer Science 2022-10-10 Paul Almasan , José Suárez-Varela , Krzysztof Rusek , Pere Barlet-Ros , Albert Cabellos-Aparicio

Dynamic optimization problems have gained significant attention in evolutionary computation as evolutionary algorithms (EAs) can easily adapt to changing environments. We show that EAs can solve the graph coloring problem for bipartite…

Neural and Evolutionary Computing · Computer Science 2020-05-29 Jakob Bossek , Frank Neumann , Pan Peng , Dirk Sudholt

Graph Convolutional Neural Networks (GCNNs) are generalizations of CNNs to graph-structured data, in which convolution is guided by the graph topology. In many cases where graphs are unavailable, existing methods manually construct graphs…

Machine Learning · Computer Science 2019-09-17 Xiang Gao , Wei Hu , Zongming Guo

Generative design refers to computational design methods that can automatically conduct design exploration under constraints defined by designers. Among many approaches, topology optimization-based generative designs aim to explore diverse…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Seowoo Jang , Soyoung Yoo , Namwoo Kang

Graph Neural Networks (GNNs) are a form of deep learning that enable a wide range of machine learning applications on graph-structured data. The learning of GNNs, however, is known to pose challenges for memory-constrained devices such as…

Machine Learning · Computer Science 2023-05-01 Jeroen Bollen , Jasper Steegmans , Jan Van den Bussche , Stijn Vansummeren

In this paper, we present the $\texttt{e-COP}$ algorithm, the first policy optimization algorithm for constrained Reinforcement Learning (RL) in episodic (finite horizon) settings. Such formulations are applicable when there are separate…

Machine Learning · Computer Science 2024-12-19 Akhil Agnihotri , Rahul Jain , Deepak Ramachandran , Sahil Singla