Sentence examples for manifold connectivity from inspiring English sources

This has been accomplished by constructing a proximity graph over the data samples to infer its manifold connectivity and then projecting the samples onto the screen space to stipple the contour tree.

Nonetheless, it is still hard to select appropriate types of graphs for constructing the manifold connectivity, since we have to keep the graph as sparse as possible to minimize the associated computational cost.

Betti's study of spaces of higher dimensions (greater than three) in the latter work did much to open up the subject, and it led the French mathematician Henri Poincaré to give the name Betti numbers to certain numbers that characterize the connectivity of a manifold (the higher-dimensional analog of a surface).

The topology determines the span of a manifold with respect to its connectivity and dimensionality.

I will outline how to use manifold learning techniques to capture the functional connectivity architecture in individuals.

Very often, there is connectivity (flowlines) between wells and more than one manifold, between junctions and more than one separator, etc. (as shown in Fig. 5b).

The headwinds are manifold.

The pressures are manifold.

His motives were manifold.

There are manifold audiences.

The problems are manifold.