这类算法里面最简单的就是投影梯度法，投影是backward，梯度是forward。稍微扩展一下就是Proximal Gradient...
Huang, "Online dic- tionary learning for kernel LMS analysis and forward- backward splitting algorithm," in IEEE Trans. Signal Process., 2013, submitted.W. Gao, J. Chen, C. Richard, and J. Huang, "Online dictionary learning for kernel LMS," IEEE Trans. Signal Process., vol. 62, no....
优化算法是在离散梯度流$\dot X=-\nabla f(x)$ 然后做operator splitting 一部分隐式一部分显示 ...
Forward-backward splittingLegendre functionMonotone operatorWe establish the convergence of the forward-backward splitting algorithm based on Bregman distances for the sum of two monotone operators in reflexive Banach spaces. Even in Euclidean spaces, the convergence of this algorithm has so far been ...
forward–backward splitting algorithmmonotone inclusionmonotone operatorprimal-dual algorithmquasi-Fejér sequencevariable metricWe investigate the asymptotic behavior of a stochastic version of the forward-backward splitting algorithm for finding a zero of the sum of a maximally monotone set-valued operator ...
2) forward-backward algorithm forward-backward算法 3) forwar d mapping forward-mapping算法 4) ForWaRD al-gorithm ForWaRD算法 5) Forward backward heat equation Forwad-backward热方程 6) splitting method 分裂方法 1. This paper studies the Parallel implementation of 3D laser ablative fluid interface ...
Forward–backward methodTseng’s methodOperator splitting methodIn this paper we propose an explicit algorithm for solving a variational inclusion problem of the sum of two operators, the one is maximally monotone and the other is monotone and Lipschitz continuous. The algorithm uses the variable ...
We propose a variable metric forward–backward splitting algorithm and prove its convergence in real Hilbert spaces. We then use this framework to derive primal-dual splitting algorithms for solving various classes of monotone inclusions in duality. Some of these algorithms are new even when specialize...
We prove novel convergence results for a stochastic forward-backward splitting algorithm for solving monotone inclusions given by the sum of a maximal mono... L Rosasco,S Villa,CV Bang - 《Eprint Arxiv》 被引量: 41发表: 2014年 A modification of the forward-backward splitting method for maxi...
We present a preconditioning of a generalized forward-backward splitting algorithm for nding a zero of a sum of maximally monotone operators \\sum_{i=1}^n A_i + B with B cocoercive, involving only the computation of B and of the resolvent of each A i separately. is allows in ...