Sentence examples for mode matrix from inspiring English sources

where U is N × p m matrix frequently called steering or mode matrix [28].

We mention here that the generated mode matrix contains only angular modes.

where a i n, r ( n ) is the entry (i n,r) of the n th mode matrix factor A ( n ) ∈ ℂ I n × R, n=1,2,3.

(c) Calculate the mode matrix M according to the rule of neighbor propagation and the neighbor relation matrix T. The rule of neighbor propagation can be described as, if g k i, g k j ∈ R and g k j, g k l ∈ R, then g k i, g k l ∈ R.  .

where the norm of a tensor is defined as ∥ X ∥ = ∑ i 1 = 1 I 1 ∑ i 2 = 1 I 2 … ∑ i N = 1 I N x i 1 i 2 … i N 2. A representative technique for Tucker decomposition is the alternating least squares (ALS [12]; the basic idea is to compute each mode matrix U n alternatingly with other mode matrices fixed.

Calculate the mode matrix M according to the rule of neighbor propagation and the neighbor relation matrix T. The rule of neighbor propagation can be described as, if g k i, g k j ∈ R and g k j, g k l ∈ R, then g k i, g k l ∈ R. The mode M i denotes the i th row of M, and the measurement subset corresponding to the mode M i meets the neighbor relation.

Each training model is projected into mode matrices except mode n and expressed in a mode-n matrix: T s, ( n ) = mat n M s × ̄ n U n T. (33).

The core tensor W and mode matrices U n 's correspond to the matrices of singular values and orthonormal basis vectors in matrix SVD, respectively.

According to [16], Equation (8) can be viewed as PARALIND model, of which F ϕ  , A θ  , and S are three mode matrices.

However, it also implies when condition (9) is satisfied, mode matrices A and B are suffered from rotation ambiguity, characterized byU f andV f.

PARALIND decomposition algorithm is an iterative algorithm based on trilinear alternate least square, which is commonly used to estimate mode matrices of PARAFAC model [25].