Sentence examples for manifold structures of from inspiring English sources

The group and manifold structures of G are meshed together by the condition that the product operation is a differentiable mapping of G × G into G.

Taking the two basic structure units into account, new quaternary structure model describing the manifold structures of hiPP particles has been proposed.

This smoothness is reflected in the manifold structure of the symmetry groups.

Such class-specific distance captures the underlying manifold structure of the local features [22].

First, the underlying manifold structure of data is not considered in process modeling.

The authors figured out that the high performing time was caused by the manifold structure of descriptor space.

The Grassmann manifold structure of the face shape is also utilized in [10] for age estimation and face verification.

The structure of the linearized flow can then be translated into the manifold structure of the nonlinear flow.

LPP [17] and LLE [16] are two popular manifold learning algorithms which are applied to keep the manifold structure of samples.

Consequently, geometric fields characterizable as \(G\ -structures, such as the projective, conformal, affine and metric structures, do not vanish.[60] The various G\ -structureseldsuche not "intrinsic" to the masifold sthecture of sprojective

LPP tries to find an embedding that preserves local information by modeling the manifold structure of the feature space using a nearest-neighbor graph.