Sottile, A primal-dual formulation for certifiable computations in Schubert calculus, Found. Comput. Math. 16 (2016), no. 4, 941-963.Jonathan Hauenstein, Nickolas Hein, and Frank Sottile, A primal-dual formulation for certifiable computations in Schubert calculus, arXiv.org/1406.0864, ...
Furthermore, byutilizing the fact that CPAs are applications of a general weighted proximalpoint method to the mixed variational inequality formulation of the KKT system,where the weighting matrix is positive definite under a parameter condition, weare able to propose and analyze inertial variants of...
A primal-dual formulation in computer science refers to a method that involves solving two related optimization problems simultaneously, where the solution of one problem helps in finding the solution of the other problem. AI generated definition based on: Studies in Mathematics and Its Applications,...
subgradient method on the primal formulation of the variational problem. Our scheme includes as special case the method recently proposed by Zhu and Chan f... S Bonettini,V Ruggiero - 《Journal of Mathematical Imaging & Vision》 被引量: 93发表: 2012年 ...
-type problems, we do not use this formulation. the inexact approach instead operates on a different primal–dual formulation given by $$\begin{aligned} \min _{u \in x} \max _{y \in x} ~ \langle y, au-f \rangle - \frac{1}{2} \vert y\vert ^2 + \lambda \vert \nabla u ...
primal-dual formulation of the nonlinear primal problem min x∈X F(Kx) + G(x) , (3) 2 or of the corresponding dual problem max y∈Y −(G ∗ (−K ∗ y) + F ∗ (y)) . (4) We refer to [29] for more information. We assume that these problems have at ...
The function qij is shown in Fig. 1. This formulation of the dual problem is consistent with classical duality frameworks [14-16] but can also be obtained via standard linear programming duality [11, p. 144]. The scalar Pi will be referred to as the price ...
The fractional-order total variation model is introduced by generalizing the first-order model, and the corresponding saddle-point and dual formulation are constructed in theory. In order to guarantee O 1 / N 2 convergence rate, the primal-dual algorithm was used to solve the constructed saddle-...
The algorithm utilizes the primal-dual formulation of the problem and learns the dual optimal solution explicitly. It allows the algorithm to overcome the curse of dimensionality (the rate of regret is independent of the number of types) and sheds light on novel algorithmic designs for learning ...
2. Problem Formulation The first step in implementing the primal-dual method of multipliers is to formulate the problem. This involves defining the objective function and the constraints. The objective function represents the goal of the optimization problem, while the constraints represent any limitatio...