This difference can be justified by the fact that the measurements obtained from the 2D technique determine a projection of the points, which in reality are placed on different planes.
In particular, the multilinear PCA (MPCA) algorithm [22] aims to determine a multilinear projection that projects the original tensor objects into a lower-dimensional tensor subspace while preserving the variation in the original data as much as possible.
"When it comes to greenlighting a film, the 'comp' is king – that is, the comparison to other, similar films, which studios use for box office projections and determining a budget," says Kyle Buchanan, senior editor at Vulture.
Troubled-cells are detected by applying the MLP concept, and the final accuracy is determined by a projection procedure and the hierarchical MLP limiting step.
From here, we show how one can determine a shift for each projection so that the center of mass of all cross-sections perpendicular to the axis of rotation nearly follows a viable path.
The evaluation of matrix functions of the form f(A)v, where A is a large sparse or structured symmetric matrix, f is a nonlinear function, and v is a vector, is frequently subdivided into two steps: first an orthonormal basis of an extended Krylov subspace of fairly small dimension is determined, and then a projection onto this subspace is evaluated by a method designed for small problems.
In a next step, optical variables can be computed by determining the projection of the reconstructed physical ball trajectory onto an image plane.
LDA is the classifier that separates the two or more classes by determining the projection matrix that maximizes the ratio of between-class covariance to within-class covariance [ 25].
For unital C⁎-algebras with real rank zero and a faithful tracial state determining equivalence of projections, a notion of majorization describes the closed convex hulls of unitary orbits for self-adjoint operators.
Narrow regions exhibiting a high point density are mapped to clusters; their centroid is taken as the 3D position of a marker and used as an input to determine the projection traces.
