Abstract
In this work a new algorithm to improve the performance of optimization methods, by means of avoiding certain local optima, is described. Its theoretical bases are presented in a rigorous, but intuitive, way. It has been applied concretely to the case of recurrent neural networks, in particular to MREM, a multivalued recurrent model, that has proved to obtain very good results when dealing with NP-complete combinatorial optimization problems. In order to show its efficiency, the well-known MaxCut problem for graphs has been selected as benchmark. Our proposal outperforms other specialized and powerful techniques, as shown by simulations.
Citation
E. M. Casermeiro, D. López-Rodríguez, and J. M. Ortiz-de-Lazcano-Lobato. “Enhanced maxcut clustering with multivalued neural networks and functional annealing”. In: ESANN 2006, 14th European Symposium on Artificial Neural Networks, Bruges, Belgium, April 26-28, 2006, Proceedings. d-side publication, 2006, pp. 25-30. URL: https://www.elen.ucl.ac.be/Proceedings/esann/esannpdf/es2006-86.pdf.
BibTeX
<pre><code>
@InProceedings{Casermeiro2006, author = {Enrique Mérida Casermeiro and Domingo López-Rodríguez and Juan Miguel Ortiz-de-Lazcano-Lobato}, booktitle = {{ESANN} 2006, 14th European Symposium on Artificial Neural Networks, Bruges, Belgium, April 26-28, 2006, Proceedings}, title = {Enhanced maxcut clustering with multivalued neural networks and functional annealing}, year = {2006}, pages = {25–30}, publisher = {d-side publication}, abstract = {In this work a new algorithm to improve the performance of optimization methods, by means of avoiding certain local optima, is described. Its theoretical bases are presented in a rigorous, but intuitive, way. It has been applied concretely to the case of recurrent neural networks, in particular to MREM, a multivalued recurrent model, that has proved to obtain very good results when dealing with NP-complete combinatorial optimization problems. In order to show its efficiency, the well-known MaxCut problem for graphs has been selected as benchmark. Our proposal outperforms other specialized and powerful techniques, as shown by simulations. © 2006 i6doc.com publication. All rights reserved.}, bibsource = {dblp computer science bibliography, https://dblp.org}, biburl = {https://dblp.org/rec/conf/esann/CasermeiroLO06.bib}, document_type = {Conference Paper}, journal = {ESANN 2006 Proceedings - European Symposium on Artificial Neural Networks}, keywords = {Combinatorial optimization; Optimization, Combinatorial optimization problems; Its efficiencies; Local optima; MAX-CUT problem; Multi-valued; NP Complete; Optimization method; Recurrent models, Recurrent neural networks}, source = {Scopus}, timestamp = {Thu, 12 Mar 2020 11:36:02 +0100}, url = {https://www.elen.ucl.ac.be/Proceedings/esann/esannpdf/es2006-86.pdf}, }
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