Given an by matrix encoding the similarity scores between instances, the spectral clustering [38] clusters these instances into clusters, where is a predefined value.
This particular factorization is related to SVD by M = D L = U S V T T ) where the orthonormal matrix D = U is a basis for the subspace associated with the column space of M, while L = S V T is a low-rank representation matrix encoding the projection of the trajectory matrix onto this subspace.
A matrix encoding the locations where each strain is to be printed was created by our printing software.
However, the weight matrix encoding the projections from premotor to somatosensory cortex is updated only during correct self-reproductions of the corresponding speech sound (i.e. strictly after the learning of the auditory target for the sound).
Suppose Y i = [ Y i 1, ⋅ ⋅ ⋅, Y i q ] T ∈ { 0, 1 } q is the label vector of x i ∈ X, and Y = [ Y 1,..., Y N ] ∈ ℝ q × N denotes the label matrix encoding the label information of all the data.
A genetic network can be viewed as an undirected graph, G = { V, W}, where V is a set of N nodes (one for each gene in the network), and W is an N × N connectivity matrix encoding the set of edges.
