An improved general extra-gradient method with refined step size for nonlinear monotone variational inequalities. Journal of Global Optimization, 2007, 39: 155–169 MATH MathSciNetM.H. Xu, X.M. Yuan, Q.L. Huang,
1) expansive-extra-gradient method 扩张型超梯度算法 2) Diffusion rule of grads 梯度扩散算法 3) Capacity Expansion Models and Algorithm 扩张模型与算法 4) Extension algorithm 扩张算法 5) lattice gradient algorithm 格型梯度算法 6) Extragradient Mann iterative algorithm ...
More specifically, we first consider a proximal point method with error and establish key properties of its iterates. We then focus on OGDA as an approximation of proximal point method and use this connection to show that the iterates of OGDA remain in a compact set. We incorporate this ...
General Method for Solving the Split Common Fixed Point Problem The split common fixed point problem (also called the multiple-sets split feasibility problem) is to find a common fixed point of a finite family of operat... A Cegielski - 《Journal of Optimization Theory & Applications》 被引量...
quasi-Newton method to have good theoretical properties, for without it, the method does not improve on its approximation in a bad step direction, and might attempt an infinite number of bad steps in this direction. Acomputational disadvantage of these methods that require an update at rejecte...
In periodic games, we prove that EG will converge while OGDA and momentum method will diverge. This is quite surprising, as to the best of our knowledge, it is the first result that indicates EG and OGDA have qualitatively different last-iterate behaviors and do not exhibit similar behavior...
Keywords: sub-gradient extra-gradient method; strongly pseudo-monotone equilibrium problems; convex quadratic optimization; strong convergence; Hilbert spaces 1. Introduction Equilibrium problems involve many mathematical problems as a particular instance, such as minimization problems, complementarity problems, ...
Therefore, one avoids explicit formation of the regularization g, but creates a neural network with prescribed K phases, where each phase mimics one iteration of the proximal gradient method such as (2) to compute 𝒃𝑘bk as above and 𝒙𝑘=𝒉𝑘(𝒃𝑘)xk=hk(bk). The CNN 𝒉...
To demonstrate the universality of the gradient design strategy, we have also implemented the modified CTC method on another MG system and observed the same gradient-induced extra plasticity in specimens with GMG structures (Supplementary Note 4). Preparation and mechanical behaviors of the GMG with ...
depositionmethodtosynthesizebulkgradient nanotwinnedpureCusampleswithcontrolla- blepatterningofhomogeneousnanotwinned components.Theindividualcomponentsare composedofhigh-density,preferentiallyoriented nanometer-scaletwinboundariesembedded withinmicrometer-scalecolumnar-shapedgrains. ...