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Reply to: Modern graph neural networks do worse than classical greedy algorithms in solving combinatorial optimization problems like maximum independent set


Feb 03, 2023
Martin J. A. Schuetz, J. Kyle Brubaker, Helmut G. Katzgraber

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* Nature Machine Intelligence 5, 32 (2023) 
* Manuscript: 3 pages, 2 figures 

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Optimization of Robot Trajectory Planning with Nature-Inspired and Hybrid Quantum Algorithms


Jun 08, 2022
Martin J. A. Schuetz, J. Kyle Brubaker, Henry Montagu, Yannick van Dijk, Johannes Klepsch, Philipp Ross, Andre Luckow, Mauricio G. C. Resende, Helmut G. Katzgraber

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* 17 pages, 6 figures 

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Graph Coloring with Physics-Inspired Graph Neural Networks


Feb 03, 2022
Martin J. A. Schuetz, J. Kyle Brubaker, Zhihuai Zhu, Helmut G. Katzgraber

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* Manuscript: 8 pages, 4 figures, 2 tables. Supplemental Material: 1 page, 2 tables 

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Combinatorial Optimization with Physics-Inspired Graph Neural Networks


Jul 02, 2021
Martin J. A. Schuetz, J. Kyle Brubaker, Helmut G. Katzgraber

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* Manuscript: 13 pages, 5 figures, 1 table. Supplemental Material: 1 page, 1 table 

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Evolutionary Approaches to Optimization Problems in Chimera Topologies


Aug 17, 2016
Roberto Santana, Zheng Zhu, Helmut G. Katzgraber

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* Proceedings of the Genetic and Evolutionary Computation Conference (GECCO-2016), ACM Press, 397-404 (2016) 
* 8 pages, 5 figures, 3 tables 

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A probabilistic evolutionary optimization approach to compute quasiparticle braids


Oct 02, 2014
Roberto Santana, Ross B. McDonald, Helmut G. Katzgraber

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* Simulated Evolution and Learning, Lecture Notes in Computer Science 8886, 13 (2014) 
* 9 pages,7 figures. Accepted at SEAL 2014 

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Genetic braid optimization: A heuristic approach to compute quasiparticle braids


Feb 13, 2013
Ross B. McDonald, Helmut G. Katzgraber

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* Phys. Rev. B 87, 054414 (2013) 
* 6 pages 4 figures 

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