Sentence examples for proximal term from inspiring English sources
Therefore, the method with proximal term, faster convergence rate and constant parameter β deserves further research.
Our unified frame adds the proximal term with a positive definite weighting matrix.
Quite recently, by introducing an ingeniously designed sequence ({theta_{k}}), Lu et al. [27] proposed a fast PALM-type method without proximal term, which has (mathcal{O}(1/t^{2})) convergence rate.
Due to the existence of the augmented term (Vert Ax-b Vert ^{2}), we cannot get the closed-form solution if we do not attach the proximal term (frac{1}{2}Vert x-z^{k} Vert _{G_{k}}^{2}).
In practical applications, some proximal terms with positive definite proximal matrices are often added to its subproblems, and it is commonly known that large proximal parameter of the proximal term often results in 'too-small-step-size' phenomenon.
end{cases} (36) The idea is also similar to that of [22, 23], which uses the symmetric positive semi-definite matrix instead of the identity matrix in the proximal term.
Specifically, the proximal ADMM attaches some proximal terms to the sub-problems of ADMM (4).
In this paper, we propose an accelerated PALM with indefinite proximal regularization (PALM-IPR) for convex programming with linear constraints, which generalizes the proximal terms from semi-definite to indefinite.
As a first-order method, the augmented Lagrangian method (ALM) is a benchmark solver for linearly constrained convex programming, and in practice some semi-definite proximal terms are often added to its primal variable's subproblem to make it more implementable.
Clinicopathological data of patient gender, age at diagnosis, anatomical site of cancer (with proximal termed if proximal to the splenic flexure), and cancer stage (according to the American Joint Committee on Cancer, AJCC, system) were collected where available.
So, some strategies have been proposed to overcome this drawback of the methods mentioned above, such as adding a proximal regularization term and transforming the nonlinear equation.
