Sentence examples for matrix the objective from inspiring English sources

We designed an algorithm for the multiparametric 0 1-integer linear programming (ILP) problem with the perturbation of the constraint matrix, the objective function and the right-hand side vector simultaneously considered.

As with the original matrix, the objective is to maximize hotness while minimizing craziness.

Users can specify the stoichiometric matrix, the objective function, and the desired bounds in generic linear optimization programs such as GNU Linear Programming Kit (GLPK) and linprog (a linear optimization toolbox within MATLAB), or with a tool such as the COBRA Toolbox [ 23].

With the protein attribute feature matrix X and label matrix Y, the objective function of NMF is extended as follows (8) O = | | X - U V T | | 2 + α | | W ⊙ (Y - B V T ) | | The above objective function is divided into two terms.

Assuming without loss of generality that S=1, given a noisy (K×L) matrix M, the objective of low-rank approximation is to identify a matrix X such that: begin{array}{*{20}l} &underset{{mathbf{X}}}{text{minimize}} ~ text{rank}({mathbf{X}}) notag &text{subject to} ~ | {mathbf{X}} - mathbf{M} |_{F} < epsilon end{array} (2).

It is easy to check that the above determinants are positive for α > 3, which means that the Hessian matrix of f (β,z) and g (β,z) are positive definite for α > 3. Therefore, the Hessian matrix of the objective function stated in (15) is positive definite for α > 3. Below are the links to the authors' original submitted files for images.

Bayesian optimization of the regularization parameters requires computation of the Hessian matrix of the objective function F evaluated at the optimum point w MP [ 27], but directly computing the Hessian matrix is not always necessary.

Some scholars have conducted further research to obtain a better approximation of the Hessian matrix of the objective function.

We now show that the constraint matrix of the objective function given in Equation 7 satisfies TU.

It should be mentioned that, the cost matrix in the objective function [1] is for inaccessibility computation, which could be quite different with the travel time.

The Hessian matrix of the objective function F x) in Equation 9 can be computed as ∇ 2 F x = Φ T Φ + λ ∇ 2 F σ x, (16).