We show a connection between Lipschitz continuity on some subset of the Hilbert space of operator of metric projection with the Lipschitz constant strictly less than 1 and local strong convexity of the set (in terms of modulus of convexity for intersection of a set and a ball with a small ...
Local strong convexity of maximum-likelihood TDOA-Based source localization and its algorithmic implications 来自 Semantic Scholar 喜欢 0 阅读量: 47 作者:H Liu,YM Pun,MC So 摘要: A fundamental class of matrix optimization problems that arise in many areas of science and engineering is that of ...
In this paper, we consider supervised learning problems such as logistic regression and study the stochastic gradient method with averaging, in the usual stochastic approximation setting where observations are used only once. We show that after $N$ itera
4.dual metric locally convex space对偶度量局部凸空间 5.The Study of K Convexity and K Smoothness in Locally Convex Spaces;局部凸空间K凸性与K光滑性的研究 6.Equivalent Characterizations of Average Strong Convexity in Locally Convex Spaces局部凸空间的平均强凸性的等价刻画 7.The Study on Three Kinds ...
We distill some properties of activation functions that lead to $\\mathit{local~strong~convexity}$ in the neighborhood of the ground-truth param... Z Kai,S Zhao,P Jain,... 被引量: 99发表: 2017年 Spaces and maps approximation and fixed points Examples of "convex" sets of topological ...
Before defining notions of local convexity we introduce some additional useful terminology. Let G=(V,E) be a graph with vertex set V and edge set E, and let v be a vertex in V. The open neighbourhood of v is the set N(v)={u∈V∣uv∈E} and the closed neighbourhood of v is N...
Some properties of the spaces of paths are studied in order to define and characterize the local convexity of sets belonging to smooth manifolds and the local convexity of functions defined on local convex sets of smooth manifolds. 关键词: Smooth manifolds space of paths linear connections local ...
A semilinear multivalued evolution equation is considered in a reflexive Banach space. The nonlinear term has convex, closed, bounded values and a weakly sequentially closed graph when restricted to its second argument. No strong compactness is assumed, neither on the evolution operator generated by ...
Figalli and N. Gigli , Local semiconvexity of ... NG Alessio Figalli 被引量: 5发表: 2010年 Eulerian calculus for the displacement convexity in the Wasserstein distance In this paper we give a new proof of the (strong) displacement convexity of a class of integral functionals defined on a ...
Local Linear Convergence of the ADMM/Douglas--Rachford Algorithms without Strong Convexity and Application to Statistical Imaging We consider the problem of minimizing the sum of a convex function and a convex function composed with an injective linear mapping. For such problems, subj... T Aspelmeie...