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Contenu archivé le 2022-12-23

Randomised and derandomised algorithms operational methodology

Objectif



In a wide range of applications no efficient deterministic algorithms are known and randomisation is an extremely important tool for the construction of algorithms. The principal advantage of a randomised algorithm is that the execution time or space requirement is often smaller than that of the best deterministic algorithm known for the same problem. The power of randomisation has become a major research topic in algorithmic theory and its application to real life problems is becoming essential in order to solve a problem efficiently. When parallelism and randomisation are allied together, the time and space required to solve a specific problem can as a result decrease considerably and this represents a key point in computing technology.

On the other hand, there is no efficient way of generating a source of randomness in real computers. One potential and relatively new approach to cope with this problem is to use derandomisation. Once a randomised solution is proposed a deterministic version of this solution can be obtained by replacing the randomness source by a long bit string which has some of the mathematical properties that the randomised version is expected to have.

In this project, an operational methodology for obtaining randomised first and applying derandomisation techniques later to obtain a real computer version of the algorithms is proposed. The complementary competence of Western European and NIS scientists will be combined to get a new methodology of deriving efficient algorithms. In general, randomised algorithms in their different versions are better developed in Western Europe while derandomisation and its mathematical properties has been quite well studied in the NIS. A new technique for deriving derandomised algorithms will be produced and implemented and each group will provide its Ph.D students with a broader view of the complementary areas of research.

Appel à propositions

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Régime de financement

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Coordinateur

Université de Genève
Contribution de l’UE
Aucune donnée
Adresse
Rue Général Dufour 24
1204 Genève
Suisse

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Coût total
Aucune donnée

Participants (5)