where H is the conjugate transposition operator.
where E is the expectation operator and H is the conjugate transposition operator.
Now, the server computes the c × N matrix A, where A = (D G) T, T being the transposition operator.
In HDNA-GA, three new crossover operators, replacement operator, transposition operator and reconstruction operator, are designed to improve the population diversity, and the mutation operator with adaptive mutation probability is applied to guarantee against stalling at local peak.
Let X be a distributed ℳ O random variable which describes the lifetime relative to each individual in the population with a vector of p-covariates z= z1,…,z p )⊤, where ⊤ denotes the transposition operator.
., a vector of size describing signals recorded on array at frequency bin stands transposition operator),, a matrix of size whose columns are steering vectors describing the propagation of each wave with and,, a vector of size which contains the random amplitudes of the waves, is a vector of size which corresponds to the additive noise.
with (i), a vector of size describing signals recorded on array at frequency bin stands transposition operator), (ii), a matrix of size whose columns are steering vectors describing the propagation of each wave with and, (iii), a vector of size which contains the random amplitudes of the waves, (iv) is a vector of size which corresponds to the additive noise.
S is a diagonal matrix whose diagonal elements s k are singular values, the matrices U and V have elements u ik and v jk, respectively (the superscript t is the transposition operator).
denotes the trace of a matrix, denotes the identity matrix of order, denotes the logarithm of base 2, represents the expectation operator, and the superscript denotes hermitian transposition operation.
The notation T stands for transposition operation for vectors and matrices and expectation operation is denoted by E. Any other mathematical operators that have been used will be defined as they are introduced in the paper.
