As the samples in high-dimensional space are relatively sparse, if the width is too small, it may lead to establish the corresponding Gaussian kernel at each sample, and the proposed incremental learning algorithm is invalid.
A vector is considered sparse if a small number of its elements contain a large proportion of its energy.
The selection of an appropriate threshold is important for the construction of such a correlation network, if it is too high the generated network will be sparse, if too low, only a large connected component will be produced.
Similarly a Venn-like diagram of animal taxa based on embryology [ 78] might have been (but was not) presented as a planar section through a tree (or a sparse network, if its additional correspondences are to be included).
That said, the map itself is fairly sparse; if you're used to Google Maps and its outlines of buildings and parks you may find yourself wanting with the built-in maps.
In short, if it expresses sparse simplicity to you, it counts.
Previous work has established that a representation is unique if it is sparse enough, requiring.
The original signal can be faithfully recovered from the measurement samples, if it is sparse with respect to a particular basis and sampled via a random projection.
In CS, it is considered that M < N. A signal is compressible if it is sparse in some domain; thus, x can be written as follows x = Ψ s, (2).
