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Keyword: search costs ×Clear all

2 claims from 1 paper

1. Computer Science › Constraint Satisfaction and Optimization

   Backbone Fragility and the Local Search Cost Peak

   Singer, Gent and Smaill · Journal of Artificial Intelligence Research · 2000

   The paper analyses why the local search algorithm WSat finds some random 3-SAT instances hard, and proposes that large, fragile backbones explain high search costs near the satisfiability threshold.

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   1. UncheckedThe number of solutions predicts WSat's search cost well for small-backbone instances, but much less well for large-backbone ones near and beyond the threshold.“We find that the number of solutions predicts the cost well for small-backbone instances but is much less relevant for the large-backbone instances which appear near the threshold and dominate in the overconstrained region.”
   2. UncheckedBackbone-minimal 3-SAT instances, altered to be more backbone-fragile, are unusually hard for the WSat local search algorithm.“Second, that backbone-minimal instances (which are 3-SAT instances altered so as to be more backbone-fragile) are unusually hard for WSat.”