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Status: Unchecked ×Keyword: clustering threshold ×Clear all

2 claims from 1 paper

1. Computer Science › Constraint Satisfaction and Optimization

   Algorithmic barriers in random constraint satisfaction problems

   Budzynski · 2020

   The thesis adds a bias that breaks uniformity among solutions of random constraint problems and studies how it shifts the clustering threshold, focusing on two-colouring of k-hypergraphs.

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   1. UncheckedFor small k, a bias favouring some solutions can raise the clustering threshold and help simulated annealing find solutions to hypergraph two-colouring.“Pour de petites valeurs de k, nous montrons que ce biais peut augmenter la valeur du seuil clustering, et que cela a un effet positif sur les performances de l'algorithme de Simulated Annealing pour la recherche de solutions d'une instance du problème de bicoloriage.”
   2. UncheckedFor large k, the paper computes the asymptotic expansion of the clustering threshold, for both the uniform measure and a biased one.“Dans la limite où k tend vers l'infini, nous calculons le développement asymptotique du seuil de clustering pour la mesure uniforme et pour une mesure biaisée.”