Extensive experiments on the FERET, ORL databases with different numbers of training samples demonstrate that the proposed approach consistently outperforms Eigenface, FLDA, BML, null space
LDA, dual-space LDA, and unified subspace framework.
Conditions on the CS Matrix: Null Space
Property, Restricted Isometry Property, and Incoherence.
2) generates a complete orthogonal family of eigen-functions so that the null space
of the semigroup T(t) is trivial, i.
1] indicate transpose, Hermitian, the Frobenius norm, the column space, the null space
and the Moore-Penrose inverse matrix of A, respectively.
where, i are the basis in a null space
of matrix D having a dimension z Now the tangent space T at any QEM-node lies on a surface G is a linear constraint for the system.
If A itself is rank-deficient, of course, then setting [lambda] = 0 corresponds to seeking its null space
Because all channel elements are independently drawn from a continuous distribution, the rank of the null space
of matrix becomes 9.
Our next goal is to project the dynamics in the vicinity of the ith pulse onto the null space
The actual calculation of the nontrivials can then be reduced to the calculation of the null space
of the system of corresponding state space equations.
Therefore the common vector subspace classifier method model subspaces in such a way that their basis vectors span the null space
of the co-variance matrix of each class, assuming that the number of samples in each class is smaller than or equal to the dimensionality of the sample space.
Let H be a Hilbert space, W a closed subspace of H, and Q a (linear bounded) projection from H onto W with null space
The relative null space
of M at p is defined by