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Local convergence of tensor methods. [PDF]
AbstractIn this paper, we study local convergence of high-order Tensor Methods for solving convex optimization problems with composite objective. We justify local superlinear convergence under the assumption of uniform convexity of the smooth component, having Lipschitz-continuous high-order derivative. The convergence both in function value and in the
Doikov N, Nesterov Y.
europepmc +8 more sources
Local convergence of random graph colorings [PDF]
Let $G=G(n,m)$ be a random graph whose average degree $d=2m/n$ is below the $k$-colorability threshold. If we sample a $k$-coloring $\sigma$ of $G$ uniformly at random, what can we say about the correlations between the colors assigned to vertices that ...
Coja-Oghlan, Amin +2 more
core +7 more sources
We present some long-range interaction models for phase coexistence which have recently appeared in the literature, recalling also their relation to classical interface and capillarity problems.
Serena Dipierro +2 more
doaj +2 more sources
Local Convergence of Exquerro-Hernandez Method [PDF]
Local convergence of Ezquerro-Hernandez iteration is investigated in the setting of finite dimensional spaces. A procedure to estimate the local convergence radius for this iteration is proposed.
Măruşter Ştefan
doaj +3 more sources
Local Convergence and Radius of Convergence for Modified Newton Method [PDF]
We investigate the local convergence of modified Newton method, i.e., the classical Newton method in which the derivative is periodically re-evaluated.
Măruşter Ştefan
doaj +3 more sources
Local convergence of behavior across species [PDF]
Not so different Humans often focus on how different we are from other animals. Certainly, there are some important differences, but more and more we are learning that we differ by degree rather than kind. We see these similarities most clearly when we look at human populations that live a more traditional ...
Toman Barsbai +2 more
openaire +5 more sources
Convergence of local supermartingales [PDF]
We characterize the event of convergence of a local supermartingale. Conditions are given in terms of its predictable characteristics and quadratic variation. The notion of stationarily local integrability plays a key role.
Larsson, Martin, Ruf, Johannes
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Local weak convergence for PageRank [PDF]
32 pages, 5 ...
Garavaglia, Alessandro +2 more
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Convergence of Derivative-Free Iterative Methods with or without Memory in Banach Space
A method without memory as well as a method with memory are developed free of derivatives for solving equations in Banach spaces. The convergence order of these methods is established in the scalar case using Taylor expansions and hypotheses on higher ...
Santhosh George +2 more
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Convergence Analysis and Dynamical Nature of an Efficient Iterative Method in Banach Spaces
We study the local convergence analysis of a fifth order method and its multi-step version in Banach spaces. The hypotheses used are based on the first Fréchet-derivative only. The new approach provides a computable radius of convergence, error bounds on
Deepak Kumar +3 more
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