Sentence examples for component of size from inspiring English sources
Reiterate the process until a component of size (ge c/alpha ) is generated or, otherwise, a profile consisting of isolated strong components smaller than (c/alpha ) is generated.
Our first observation is that the dictionaries learned by KSVD and ITKrM on clean data with S=5 and after removing a low-rank component of size L=3 or L=7 perform best, indicating the importance of removing the low-rank component to get a well-conditioned dictionary.
Algorithmic setup: Via ITKrMM, we first learn the low-rank component of size L=1,3,7, and a dictionary of size K=2d−L, resulting in a system with redundancy 2. We set the sparsity level in the dictionary learning to S=8−L for L=1,3 corresponding to an overall sparsity L+S=8 and to S=5 for L=7, corresponding to an overall sparsity L+S=12.
More importantly, attempting to extract PDSs from this results in one super component of size 350, and 3 components of sizes 4, 4 and 6.
For the large connected component of size 3429, we ran a graph-clustering method called spectral clustering [ 44] to further divide it into eight smaller subnetworks.
In general, for any connected component of size k>3 with at least than k k−1)/4 edges, more edges will be added with score NC>0.5, yielding a denser component and increasing network transitivity overall.
The largest part of the network consists of one large connected component of 3.4 million users, the rest are components of size smaller than 1000 users.
Learning setup: The dictionary learning setup is the same as in the experiments for 30 and 50% corruption levels in Section 5.2.1, where for ITKrMM, we consider low-rank components of size L=1 and L=3, abbreviated as ITKrMM1 and ITKrMM3 respectively.
