Objetivo One of the most exciting areas of theoretical computer science is to understand the approximability of fundamental optimization problems. A prominent example is the traveling salesman problem, for which a long-standing conjecture states that a certain algorithm gives a better guarantee than current methods can prove. The resolution of this conjecture and of many other fundamental problems is intimately related to an increased understanding of strong convex relaxations.Although these problems have resisted numerous attempts, recent breakthrough results, in which the PI has played a central role, indicate new research directions with the potential to resolve some of our most exciting open questions. We propose three research directions to revolutionize our understanding of these problems and more generally of the use of convex relaxations in approximation algorithms:(I) develop new approaches to analyze and harness the power of existing convex relaxations;(II) understand the power of automatically generated relaxations; and(III) prove the optimality of algorithms based on convex relaxations.The proposed research lies in the frontier of approximation algorithms and optimization with connections to major problems in complexity theory, such as the unique games conjecture. Any progress will be a significant contribution to theoretical computer science and mathematical optimization. Ámbito científico natural sciencescomputer and information sciencescomputational science Programa(s) FP7-IDEAS-ERC - Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Tema(s) ERC-SG-PE6 - ERC Starting Grant - Computer science and informatics Convocatoria de propuestas ERC-2013-StG Consulte otros proyectos de esta convocatoria Régimen de financiación ERC-SG - ERC Starting Grant Institución de acogida ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE Aportación de la UE € 1 451 052,00 Dirección BATIMENT CE 3316 STATION 1 1015 Lausanne Suiza Ver en el mapa Región Schweiz/Suisse/Svizzera Région lémanique Vaud Tipo de actividad Higher or Secondary Education Establishments Contacto administrativo Caroline Vandevyver (Dr.) Investigador principal Ola Nils Anders Svensson (Prof.) Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Coste total Sin datos Beneficiarios (1) Ordenar alfabéticamente Ordenar por aportación de la UE Ampliar todo Contraer todo ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE Suiza Aportación de la UE € 1 451 052,00 Dirección BATIMENT CE 3316 STATION 1 1015 Lausanne Ver en el mapa Región Schweiz/Suisse/Svizzera Région lémanique Vaud Tipo de actividad Higher or Secondary Education Establishments Contacto administrativo Caroline Vandevyver (Dr.) Investigador principal Ola Nils Anders Svensson (Prof.) Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Coste total Sin datos