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Emerging quantum processors provide an opportunity to explore new approaches for solving traditional problems in the post Moore's law supercomputing era. However, the limited number of qubits makes it infeasible to tackle massive real-world…

We introduce a qubit- and gate-efficient higher-order unconstrained binary optimization (HUBO) encoding for graph partitioning problems requiring label-count minimization. This widely applicable class of problems includes minimum graph…

Recent advancements in Neural Combinatorial Optimization (NCO) have shown promise in solving routing problems like the Traveling Salesman Problem (TSP) and Capacitated Vehicle Routing Problem (CVRP) without handcrafted designs. Research in…

Machine Learning · Computer Science 2025-02-25 Ke Li , Fei Liu , Zhengkun Wang , Qingfu Zhang

Quantum approaches to combinatorial optimization problems (COPs) are often limited by the resource demands of Quadratic Unconstrained Binary Optimization (QUBO) encodings, which enlarge circuits through penalty terms and increase qubit and…

Quantum Physics · Physics 2025-11-25 Frederik Koch , Shahram Panahiyan , Rick Mukherjee , Joseph Doetsch , Dieter Jaksch

Combinatorial optimization (CO) problems arise across a broad spectrum of domains, including medicine, logistics, and manufacturing. While exact solutions are often computationally infeasible, many practical applications require…

Machine Learning · Computer Science 2025-05-27 Arman Mielke , Uwe Bauknecht , Thilo Strauss , Mathias Niepert

The focus of this study is on Unsupervised Continual Learning (UCL), as it presents an alternative to Supervised Continual Learning which needs high-quality manual labeled data. The experiments under the UCL paradigm indicate a phenomenon…

Computer Vision and Pattern Recognition · Computer Science 2023-11-28 Chen Cheng , Jingkuan Song , Xiaosu Zhu , Junchen Zhu , Lianli Gao , Hengtao Shen

This paper studies learning the representations of whole graphs in both unsupervised and semi-supervised scenarios. Graph-level representations are critical in a variety of real-world applications such as predicting the properties of…

Machine Learning · Computer Science 2020-01-20 Fan-Yun Sun , Jordan Hoffmann , Vikas Verma , Jian Tang

Solving NP-hard/complete combinatorial problems with neural networks is a challenging research area that aims to surpass classical approximate algorithms. The long-term objective is to outperform hand-designed heuristics for…

Neural and Evolutionary Computing · Computer Science 2024-02-14 Dobrik Georgiev , Danilo Numeroso , Davide Bacciu , Pietro Liò

In the pursuit of achieving near-term quantum advantage for combinatorial optimization problems, the Quantum Approximate Optimization Algorithm (QAOA) and the Variational Quantum Eigensolver (VQE) are the primary methods of interest, but…

Quantum Physics · Physics 2025-03-06 Adelina Bärligea , Benedikt Poggel , Jeanette Miriam Lorenz

Unsupervised learning (UL)-based solvers for combinatorial optimization (CO) train a neural network that generates a soft solution by directly optimizing the CO objective using a continuous relaxation strategy. These solvers offer several…

Machine Learning · Statistics 2024-11-01 Yuma Ichikawa

Graph partitioning is one of an important set of well-known compute-intense (NP-hard) graph problems that devolve to discrete constrained optimization. We sampled solutions to the problem via two different quantum-ready methods to…

Graph representation learning is to learn universal node representations that preserve both node attributes and structural information. The derived node representations can be used to serve various downstream tasks, such as node…

Machine Learning · Computer Science 2020-11-16 Yuxiang Ren , Bo Liu , Chao Huang , Peng Dai , Liefeng Bo , Jiawei Zhang

Federated graph representation learning (FedGRL) brings the benefits of distributed training to graph structured data while simultaneously addressing some privacy and compliance concerns related to data curation. However, several…

Machine Learning · Computer Science 2022-10-28 Susheel Suresh , Danny Godbout , Arko Mukherjee , Mayank Shrivastava , Jennifer Neville , Pan Li

Network embedding (NE) approaches have emerged as a predominant technique to represent complex networks and have benefited numerous tasks. However, most NE approaches rely on a homophily assumption to learn embeddings with the guidance of…

Social and Information Networks · Computer Science 2022-12-23 Zhiqiang Zhong , Guadalupe Gonzalez , Daniele Grattarola , Jun Pang

Multi-view learning has progressed rapidly in recent years. Although many previous studies assume that each instance appears in all views, it is common in real-world applications for instances to be missing from some views, resulting in…

Machine Learning · Computer Science 2022-08-30 Pengfei Zhu , Xinjie Yao , Yu Wang , Meng Cao , Binyuan Hui , Shuai Zhao , Qinghua Hu

In this paper, we consider smooth convex optimization problems with simple constraints and inexactness in the oracle information such as value, partial or directional derivatives of the objective function. We introduce a unifying framework,…

Optimization and Control · Mathematics 2020-12-17 Pavel Dvurechensky , Alexander Gasnikov , Alexander Tiurin , Vladimir Zholobov

Subexponential parameterized algorithms are known for a wide range of natural problems on planar graphs, but the techniques are usually highly problem specific. The goal of this paper is to introduce a framework for obtaining…

Data Structures and Algorithms · Computer Science 2021-10-29 Dániel Marx , Pranabendu Misra , Daniel Neuen , Prafullkumar Tale

Ant Colony Optimization (ACO) is a meta-heuristic algorithm that has been successfully applied to various Combinatorial Optimization Problems (COPs). Traditionally, customizing ACO for a specific problem requires the expert design of…

Neural and Evolutionary Computing · Computer Science 2023-11-07 Haoran Ye , Jiarui Wang , Zhiguang Cao , Helan Liang , Yong Li

We propose Graph Contrastive Learning (GraphCL), a general framework for learning node representations in a self supervised manner. GraphCL learns node embeddings by maximizing the similarity between the representations of two randomly…

Machine Learning · Computer Science 2020-07-17 Hakim Hafidi , Mounir Ghogho , Philippe Ciblat , Ananthram Swami

In this paper, we introduce a self-supervised learning method to enhance the graph-level representations with the help of a set of subgraphs. For this purpose, we propose a universal framework to generate subgraphs in an auto-regressive way…

Machine Learning · Computer Science 2021-05-10 Chenguang Wang , Ziwen Liu
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