Zobrazeno 1 - 10
of 334
pro vyhledávání: '"47h04"'
We study accelerated Krasnoselskii-Mann-type methods with preconditioners in both continuous and discrete time. From a continuous time model, we derive a generalized fast Krasnoselskii-Mann method, providing a new yet simple proof of convergence that
Externí odkaz:
http://arxiv.org/abs/2411.18574
The scaled relative graph (SRG) is a powerful graphical tool for analyzing the properties of operators, by mapping their graph onto the complex plane. In this work, we study the SRG of two classes of nonmonotone operators, namely the general class of
Externí odkaz:
http://arxiv.org/abs/2411.17419
Autor:
Kadets, V., Zavarzina, O.
The Strong Law of Large Numbers (SLLN) for random variables or random vectors with different mathematical expectations easily reduces by means of shifts to SLLN for random variables or random vectors whose mathematical expectations are equal to zero.
Externí odkaz:
http://arxiv.org/abs/2410.04832
This work deals with a maximal monotone operator $A$ of type (D) in a Banach space whose dual space is strictly convex. We establish some representations for the value $Ax$ at a given point $x$ via its values at nearby points of $x$. We show that the
Externí odkaz:
http://arxiv.org/abs/2401.00293
The Chambolle-Pock algorithm (CPA), also known as the primal-dual hybrid gradient method, has gained popularity over the last decade due to its success in solving large-scale convex structured problems. This work extends its convergence analysis for
Externí odkaz:
http://arxiv.org/abs/2312.06540
Autor:
İşeri, Melih, Zhang, Jianfeng
Building upon the dynamic programming principle for set valued functions arising from many applications, in this paper we propose a new notion of set valued PDEs. The key component in the theory is a set valued It\^{o} formula, characterizing the flo
Externí odkaz:
http://arxiv.org/abs/2311.05727
Autor:
Ararat, Çağın, Ma, Jin
In this paper we study the path-regularity and martingale properties of the set-valued stochastic integrals defined in our previous work Ararat et al. (2023). Such integrals have some fundamental differences from the well-known Aumann-It\^{o} stochas
Externí odkaz:
http://arxiv.org/abs/2308.13110
Autor:
Akamatsu, Tomoya
Ollivier and Lin--Lu--Yau established the theory of graph Ricci curvature (LLY curvature) via optimal transport on graphs. Ikeda--Kitabeppu--Takai--Uehara introduced a new distance called the Kantorovich difference on hypergraphs and generalized the
Externí odkaz:
http://arxiv.org/abs/2306.14084
The proximal point algorithm (PPA) is the most widely recognized method for solving inclusion problems and serves as the foundation for many numerical algorithms. Despite this popularity, its convergence results have been largely limited to the monot
Externí odkaz:
http://arxiv.org/abs/2305.03605
Autor:
Ahmadi, Alireza, Magnot, Jean-Pierre
We consider a differential geometric setting on power sets and Borel algebras. Our chosen framework is based on diffeologies, and we make a link between the various diffeological structures that we propose, having in mind set-valued maps, relations,
Externí odkaz:
http://arxiv.org/abs/2303.11942