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。
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...
K Scaman,F Bach,S Bubeck,YT Lee,L Massoulié 摘要: In this paper, we determine the optimal convergence rates for strongly convex and smooth distributed optimization in two settings: centralized and decentralized communications over a network. For centralized (i.e. master/slave) algorithms, we ...
CONVEX programmingIn this work, we establish the linear convergence estimate for the gradient descent involving the delay τ∈ when the cost function is μ -strongly convex and L -smooth. This result improves upon the well-known estimates in [Y. Arjevani, O. Shamir and N. Srebro, A tight...
Using elementary arguments, it is proved formally that a convex rigid body rolling on a plane has always at least two positions of stable equilibrium. G Domokos,J Papadopulos,A Ruina - 《Journal of Elasticity》 被引量: 23发表: 1994年 Dynamics of an axisymmetric body spinning on a horizontal...
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...
在文献[1]、[2]中已经解决了Banach-Saks性质及紧性等多种性质在P_xX_n中的提升问题本文主要讨论局部ω-凸(LWR)弱局部ω-凸(WLωR)和弱局部ω-凸(W~*LωR)在P_xX_n中的提升问题。 4) locally w convex 局部ω凸 5) ω-convex language
In this paper a robust second-order method is developed for the solution of strongly convex l1-regularized problems. The main aim is to make the proposed method as inexpensive as possible, while even difficult problems can be efficiently solved. The proposed approach is a primal-dual Newton Con...
This paper generalizes the index theorem of Gohberg and Krien on Weiner-Hopf operators on the unit circle. Let Ω be a strongly pseudoconvex domain in Cn and suppose L2N(Ω) is the space of square integrable functions ƒ: Ω→ CN
Boundary behavior of the Carathéodory and Kobayashi metrics on strongly pseudoconvex domains in with smooth boundary 喜欢 0 阅读量: 51 作者: I Graham 摘要: The Carathéodory and Kobayashi distance functions on a bounded domain in have related infinitesimal forms. These are the Carathéodory and ...