Sentence examples for hardest instances from inspiring English sources

However, the hardest instances are in fact concentrated at a second, lower, transition point.

The hardest instances were found close to the transition between regions of satisfiable and unsatisfiable instances; furthermore, unsatisfiable instances were found harder to solve than satisfiable ones.

Computing the "easiest" 90%% of all instances requires only 2.8 h; in contrast, the 1 % "hardest" instances use more than 70%% of the total computing time.

By adding the GP stage to Hamlet, the number of solved problems increases from 58%to85%5% in the blocks world and from 50%to87%7% in the logistics domain (0%to3838% and 0%to42%2% for the hardest instances of problems considered).

Often, tries scored at the base of a maul, with both sets of forwards low to the ground and packed tightly together, are the hardest instances for the referee to see exactly what he needs to in the short time he has to make a decision.

Since longer reads can only make the assembly process easier, these datasets still represent some of the hardest instances of the sequence assembly problem.

This term denotes a class of so-called "intractable" problems whose solutions can be checked for correctness in polynomially-bounded time, but finding the optimal solution would require an exponential amount of time in the worst case (the hardest instance) [5].

Hard instances of the traveling salesman problem are associated with this transition.

Therefore, parallel computing is appealing to find the minimum size for hard instances in a reasonable time.

The performance of the proposed convex relaxation is evaluated on several hard instances of the UC problem.

Our recommended reformulations are well worthwhile even including overheads, especially on harder instances where solver time dominates.