Results 11 to 20 of about 192,329 (259)
Convergent free sequences in compact spaces [PDF]
Proceedings of the American Mathematical Society, 1992 We prove that if κ \kappa is an ...
Juhász, István +1 more
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Rates of Convergence in the Free Central Limit Theorem
SSRN Electronic Journal, 2022 We study the free central limit theorem for not necessarily identically distributed free random variables where the limiting distribution is the semicircle distribution. Starting from an estimate for the Kolmogorov distance between the measure of suitably normalized sums of free random variables and the semicircle distribution without any moment ...
Makoto Maejima, Noriyoshi Sakuma
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A coordination-free, convergent, and safe replicated tree
CoRR, 2021 The tree is an essential data structure in many applications. In a distributed application, such as a distributed file system, the tree is replicated.To improve performance and availability, different clients should be able to update their replicas concurrently and without coordination.
Sreeja Nair 0001 +4 more
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Fine convergence in free groups [PDF]
Czechoslovak Mathematical Journal, 1986 In the theory of sequential convergence groups, the most often used examples seem to be free groups or free Abelian groups equipped with appropriate sequential convergence structures. The authors describe procedures for extending a sequential convergence structure on an infinite ``alphabet set'' to a certain type of free group constructed from that set
Frič, Roman, Zanolin, Fabio
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Relaxing convergence conditions for an inverse-free Jarratt-type approximation [PDF]
, 1997 We consider an inverse-free Jarratt-type approximation of order four in a Banach space (Argyros et al., 1996). We establish a convergence theorem by using recurrence relations.
Ezquerro, J.A. +3 more
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On the Convergence Theory for Hessian-Free Bilevel Algorithms
Advances in Neural Information Processing Systems 35, 2022 Bilevel optimization has arisen as a powerful tool in modern machine learning. However, due to the nested structure of bilevel optimization, even gradient-based methods require second-order derivative approximations via Jacobian- or/and Hessian-vector computations, which can be costly and unscalable in practice.
Daouda Sow, Kaiyi Ji, Yingbin Liang
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Convergence and covering on graphs for wait-free robots [PDF]
Journal of the Brazilian Computer Society, 2018 Abstract The class of robot convergence tasks has been shown to capture fundamental aspects of fault-tolerant computability. A set of asynchronous robots that may fail by crashing, start from unknown places in some given space, and have to move towards positions close to each other. In this article, we study the case where the space is uni-dimensional,
Castañeda, Armando +2 more
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On the Global Convergence of Derivative-Free Methods for Unconstrained Optimization [PDF]
SIAM Journal on Optimization, 2002 This paper establishes a general convergence theory for unconstrained optimization without derivatives. The authors present new globally convergent algorithms which combine pattern and line search approaches.
LUCIDI, Stefano, M. SCIANDRONE
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Γ-convergence of functionals on divergence-free fields [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2007 The authors study the stability of a sequence of integral functionals on divergence free matrix-valued functions using the method of \(\Gamma\)-convergence. They prove that the \(\Gamma\)-limit of the sequence is again a functional of the same type. The \(\Gamma\)-limit is also stable under volume constraints and various type of boundary conditions.
Ansini, Nadia, Garroni, Adriana
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Convergence of Spherical Averages for Actions of Free Groups [PDF]
The Annals of Mathematics, 2002 Convergence of non-uniform spherical averages is obtained for measure-preserving actions of free groups. This result generalizes theorems of Grigorichuk, Nevo and Stein [in particular, a simpler proof of the Nevo-Stein theorem about uniform spherical averages is obtained.] The proof uses the Markov operator approach, first proposed by R.I.
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