Objectif Property testing, an investigation started in [Blum, Luby and Rubinfeld, 1993], [Rubinfeld and Sudan, 1996], and [Goldreich, Goldwasser and Ron, 1996], deals with the following general question: Distinguish, using as few queries as possible, between the case where the input satisfies a certain property, and the case where the input is epsilon-far from this, i.e. the case where there is no way to make the input satisfy the given property even if it is modified in an epsilon fraction of its positions. Ideally the number of queries, i.e. the size of the portion of the input that is read by the (probabilistic) algorithm, depends only on epsilon and does not depend at all on the input length. However, algorithms that read more than a constant amount, as long as it is sublinear in the input size, are also deemed interesting. The related topic of sublinear algorithms concentrate on similar notions of approximation, but with the stronger requirement that the running time (rather than query complexity) that is less than the order of the input size. The purpose of this proposal is to investigate advanced topics in the frontier of property testing, especially with respect to the relation of the easiness of testing to other notions of complexity, and to investigate possible uses of ideas from property testing in other fields of computer science. Particular emphasis will be given to hypergraph-like models, sparse models, and models in which the description of the property in itself is represented as a graph or a combinatorial structure. The latter holds particular promise with regards to applications both inside and outside theoretical CS. Some topics going beyond testing (such as stronger testing notions, and testing-related notions from Probabilistically Checkable Proofs) will also be addressed. Champ scientifique natural sciencescomputer and information sciences Mots‑clés Probabilistic Methods Property Testing Sublinear Algorithms Programme(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) Thème(s) ERC-SG-PE5 - ERC Starting Grant - Materials and Synthesis Appel à propositions ERC-2007-StG Voir d’autres projets de cet appel Régime de financement ERC-SG - ERC Starting Grant Institution d’accueil TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY Contribution de l’UE € 963 540,00 Adresse SENATE BUILDING TECHNION CITY 32000 Haifa Israël Voir sur la carte Type d’activité Higher or Secondary Education Establishments Chercheur principal Eldar Fischer (Prof.) Contact administratif Mark Davison (Mr.) Liens Contacter l’organisation Opens in new window Site web Opens in new window Coût total Aucune donnée Bénéficiaires (1) Trier par ordre alphabétique Trier par contribution de l’UE Tout développer Tout réduire TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY Israël Contribution de l’UE € 963 540,00 Adresse SENATE BUILDING TECHNION CITY 32000 Haifa Voir sur la carte Type d’activité Higher or Secondary Education Establishments Chercheur principal Eldar Fischer (Prof.) Contact administratif Mark Davison (Mr.) Liens Contacter l’organisation Opens in new window Site web Opens in new window Coût total Aucune donnée