Cel 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. Dziedzina nauki natural sciencescomputer and information sciencescomputational science Program(-y) 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) Temat(-y) ERC-SG-PE6 - ERC Starting Grant - Computer science and informatics Zaproszenie do składania wniosków ERC-2013-StG Zobacz inne projekty w ramach tego zaproszenia System finansowania ERC-SG - ERC Starting Grant Instytucja przyjmująca ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE Wkład UE € 1 451 052,00 Adres BATIMENT CE 3316 STATION 1 1015 Lausanne Szwajcaria Zobacz na mapie Region Schweiz/Suisse/Svizzera Région lémanique Vaud Rodzaj działalności Higher or Secondary Education Establishments Kontakt administracyjny Caroline Vandevyver (Dr.) Kierownik naukowy Ola Nils Anders Svensson (Prof.) Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Koszt całkowity Brak danych Beneficjenci (1) Sortuj alfabetycznie Sortuj według wkładu UE Rozwiń wszystko Zwiń wszystko ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE Szwajcaria Wkład UE € 1 451 052,00 Adres BATIMENT CE 3316 STATION 1 1015 Lausanne Zobacz na mapie Region Schweiz/Suisse/Svizzera Région lémanique Vaud Rodzaj działalności Higher or Secondary Education Establishments Kontakt administracyjny Caroline Vandevyver (Dr.) Kierownik naukowy Ola Nils Anders Svensson (Prof.) Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Koszt całkowity Brak danych