Sentence examples for hard partitions from inspiring English sources

'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].  .

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.

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.

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.

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).

A hard partitioning is determined by assigning each data point to the cluster to which it has maximal ownership probability.

This matrix was then clustered to find groups of robustly co-clustered phosphoproteins to produce a final hard partition based on the ensemble results.