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NATO will not allow a hard partition, but it has no desire to conquer and run the country properly itself.
Either they end like Lebanon, with a soft partition, a lot of mixing, but under an iron fist (Syria); or they end like Cyprus, with a hard partition and no mixing; or they end like the U.S. Civil War, with one side crushing the other and imposing its order.
where U is a hard partition matrix as defined in §2.1, V = {v1, v2,..., v C } ∈ ℝ D is a set of C cluster representatives (centers), e.g. v i is the center of hard cluster U i ∀i, and d ik denotes the Euclidean ( ℒ 2 ) distance between input vector x k and cluster center v i, i.e. d ik = ||x k - v i ||2.
I also predicted that if Iraq were not partitioned softly, it would be face partition by war (a hard partition).
This matrix was then clustered to find groups of robustly co-clustered phosphoproteins to produce a final hard partition based on the ensemble results.
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'soft/symdiff' - given a maximal number of classes, uses an SUMT approach to minimize using Manhattan dissimilarity of the co-membership matrices coinciding with symdiff partition dissimilarity in the case of hard partitions [21],[21]. .
This may be attributed to the fact that when a hard partitioning approach is implemented, abrupt changes will exist in the recovered source estimate which consequently introduce artifacts in the time domain.
We cannot use Infomap for the comparison, as it delivers "hard" partitions, without overlaps between clusters.
Here we have focused on hard partitions and the flow of random walkers, but in a subsequent paper we will demonstrate the natural extension of the map equation to overlapping partitions and generalized flows.
Here we focus on hard partitions and flow of random walkers; we postpone the natural extension of this approach to overlapping partitions and generalized flows to a subsequent paper.
A hard partitioning is determined by assigning each data point to the cluster to which it has maximal ownership probability.
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