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To this end, preconditioning techniques can be invoked to enforce the eigenvalues of the channel matrix to cluster around one[16].
It is able to do this efficiently by reusing the pairwise distance matrix to cluster at different cutoff values.
The number of genes that were differentially expressed between a pair of tissues in tissue set one was used as a distance metric, and hierarchical clustering, using complete linkage (44), was applied to this distance matrix to cluster tissues.
We first determined the neighbors for each seed voxel by solving the sparse representation equations and then constructed a sparse similarity matrix based on the representation coefficient matrix to cluster the seed region into separate clusters.
This algorithm randomly selects a starting point in the matrix to cluster the voxels in the seed (i.e., the voxels within the BA10 mask) that have similar connectivity profiles (i.e., connectivity values to the rest of the voxels in the brain).
Next we used this ProS similarity matrix to cluster these 51 decoys using Ward's clustering method (see the hierarchical agglomerative clustering tree in Figure S4 of the Supporting Information for OX1 and Figure S5 of the Supporting Information for OX2) into six clusters.
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From cluster indicator matrix to microbial clusters: Similar to [ 32], we obtained microbial clusters from cluster indicator matrix H by taking the threshold τ to assign a sample to a cluster when its weight for the cluster exceeded τ.
Furthermore, the isolates were grouped as clusters, by subjecting a sequence similarity matrix to various cluster analyses, the results of which were compared and verified by data from phylogenetic reconstructions.
Mean linkage hierarchical clustering was applied to the distance matrix to identify clusters of PPs that follow the same locus distribution.
Another probabilistic approach called Markov Clustering (Enright et al., 2002) used random walk and matrix transformations on a given distance matrix to form clusters to detect protein families.
RLCS is the rotation matrix corresponding to cluster μ i. Herein, we holistically describe SDEVLAD.
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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