由于被迫长成一个二次函数的样子，于是很多算法在μ-strongly convex + L-Lipschiz下都有比较好的表现。
TheE(2) × S1-reduced equations of motion NotesGeometry Of Nonholonomically Constrained Systemsdoi:10.1142/9789814289498_0006Richard CushmanUniversity of Calgary,CanadaHans DuistermaatUniversity of Utrecht,The NetherlandsJędrzej ŚniatyckiUniversity of Calgary,Canada...
We show that the exact worst-case performance of fixed-step first-order methods for unconstrained optimization of smooth (possibly strongly) convex functions can be obtained by solving convex programs. Finding the worst-case performance of a black-box first-order method is formulated as an optimizat...
Stronglyconvex的gradient是strongly monotone的。Lipschitz smooth的gradient是cocoercive的，这个是Baillon–Haddad theorem保证的，同时cocoercive也imply Lipschitz continuous。但是对于一般的算子，Lipschitz continuous是弱于cocoercive的（比如KKT算子）。算子cocoercive和逆算子strongly monotone是充要关系，也就是这两个概念...
We show that the exact worst-case performance of fixed-step first-order methods for smooth (possibly strongly) convex functions can be obtained by solving convex programs. Finding the worst-case performance of a black-box first-order method is formulated as an optimization problem over a set of...
1) ω strongly convex ω强凸 1. In this paper,we obtain: that ω strong (ω very) convexity and ω strong (ω very) smoothness are dual each other,a new characteristic for X to be strongly convex (very convex,strongly smooth,very smooth),a new characteristic for X to be reflexive. ...
k-super-strongly convex space; k-super-strongly smooth space; Banach space; 机译:k-超超凸空间;k-超超光滑空间;Banach空间; 入库时间 2022-08-19 04:33:07 相似文献 外文文献 中文文献 专利 1. k-super-strongly convex and k-super-strongly smooth Banach spaces [J] . Suyalatu Journal of...
4) strictly pseudoconvex domain 强拟凸域 1. We obtain a continuous solution of -equation for a strictly pseudoconvex domain with non-smooth boundary on Stein manifolds,which doesn t involve integral on boundary. 利用Hermitian度量和陈联络,构造拓广的不变积分核,借助Stokes公式,探究Stein流形中具有...
Under the assumption that FF is a strongly convex weakly Kähler Finsler metric on a complex manifold MM, we prove that FF is a weakly complex Berwald metric if and only if FF is a real Landsberg metric. This result together with Zhong (2011) implies that among the strongly convex weakly...
Summary: In this paper, we present a forward-backward splitting algorithm with additional inertial term for solving a strongly convex optimization problem of a certain type. The strongly convex objective function is assumed to be a sum of a non-smooth convex and a smooth convex function. This ...