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Furthermore, if we compute the refinements among partitions that were already simplified, the number of blocks in the refined partition is smaller than the number of partitions using all the possible states.
In the refined partition, the sub-blocks of B j are stable with respect to B w [6].
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Initial materials-based coarse segmentations, generated using the Dual-Energy Index (DEI), are refined by partitioning at automatically detected regions.
For some reason, the method reminds me of Hopcroft's algorithm to minimize a DFA, where we repeately refine a partition until we reach a stable answer.
They usually combine a graph contraction algorithm together with a local optimisation method which refines the partition at each graph level.
In other words, when refining the partition of Ω ¯, the triangles of the given triangulation do not reduce to segments.
After that, we need to refine the partition blocks in order to make them stable, i.e., we refine them by splitting blocks that contain states that should not be together according to the transition function of these states.
If the acrobat didn't solicit passengers for money would that refine the partition between the performer's right to express himself and the passenger's right to a placid ride?
There are several ways to decide when to stop refining the partition.
In Stage 2, we refine our partitions selection by sampling from the preliminary set of partitions created in the first stage using information from all the sensors.
The core of the method is a second step, where a very powerful greedy algorithm is applied to refine the partitions.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com