Sentence examples for be a rectangular matrix from inspiring English sources

Let be a rectangular matrix.

Let ({mathbf{E}}_{J times NM}) be a rectangular matrix with dimensions J × NM that is obtained from an identity matrix of order NM by deleting the rows corresponding to zero entries in the initial vector.

More specifically, if denotes the SVD of the matrix, where are (rotation) unitary matrices and is a rectangular matrix whose diagonal elements are the ordered singular values of the matrix, the SVD design requires (2).

∀ n ∈ Z 0 + and E 1 = ( I ⋮ 0 ) is a rectangular matrix with a number of rows equalizing that of the columns less one which loses the last value of the regressor of the preceding sample.

In our experiments, the number of mixtures of UBM (or GMM) is 1024, and total variability space T is a rectangular matrix of low rank with dimension 1024*56 by 400.

After N is known, the data need only be multiplied by a matrix B ′ = D ′ − 1 / 2 V ′ T in a similar fashion to Equation (4), where D ′ is a smaller N × N diagonal matrix containing only the N largest eigenvalues in D and V ′ is a rectangular matrix containing only the N columns of V corresponding to those eigenvalues.

where m is the language- and channel-independent mean supervector (which can be taken to be the UBM supervector), T is a rectangular matrix of low rank and the i-vector w is a random vector having a standard normal distribution.

Note that if d are n-dimensional vectors (n ≥ k), and s are m-dimensional, then didiT are square symmetric matrices, and the memory M is a rectangular matrix of dimensions nxnm.

To do this, we searched for a rank- R matrix L that best represents the Q matrix in a least square sense, min L ∈ℝ MN × R ‖ Q− LL⊤‖ F, where R ≪ NM, L∈ℝ MN × R is a rectangular matrix with low row-rank and LL⊤ is called the rank- R approximation of Q.

Both the transcriptomic and proteomic expression matrices M (m×n, for m genes and n samples) have been factorized in the form of: M=USVt where U is a real unitary matrix (m×m), S is a rectangular diagonal matrix (m×n) with nonnegative real numbers on the diagonal, and Vt (the conjugate transpose of V) is a real unitary matrix (n×n).

where U and V are unitary matrices, and Σ is a rectangular diagonal matrix with non-negative real elements which means the EIJM. Figure 3 shows the block diagram of the considered MIMO channel.