Results 21 to 30 of about 922,615 (281)
Convergence Rate Analysis [PDF]
, 2009 After showing the convergence of the two numerical methods for Frobenius-Perron operators in the previous chapter, we further investigate the convergence rate problem for them. Keller’s stochastic stability result for a class of Markov operators will be studied first, which leads to his first proof of the L1-norm convergence rate O(ln n/n) for Ulam’s ...
Jiu Ding, Aihui Zhou
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Complexity L0-Penalized M-Estimation: Consistency in More Dimensions
Axioms, 2013 We study the asymptotics in L2 for complexity penalized least squares regression for the discrete approximation of finite-dimensional signals on continuous domains—e.g., images—by piecewise smooth functions.
Gerhard Winkler +3 more
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Convergence Rates with Inexact Non-expansive Operators [PDF]
, 2015 In this paper, we present a convergence rate analysis for the inexact Krasnosel'skii-Mann iteration built from nonexpansive operators. Our results include two main parts: we first establish global pointwise and ergodic iteration-complexity bounds, and ...
Fadili, Jalal +2 more
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Rate of Convergence for Cardy’s Formula [PDF]
Communications in Mathematical Physics, 2014 We show that crossing probabilities in 2D critical site percolation on the triangular lattice in a piecewise analytic Jordan domain converge with power law rate in the mesh size to their limit given by the Cardy-Smirnov formula. We use this result to obtain new upper and lower bounds of exp(O(sqrt(log log R))) R^(-1/3) for the probability that the ...
Nachmias, Asaf +2 more
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Mathematics, 2019 In this paper, we consider the initial value problem for the linearized compressible Navier–Stokes–Korteweg system. Asymptotic profiles and convergence rates are established by Fourier splitting frequency technique.
Yinxia Wang
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On the convergence rates of pairs of adjacent sequences
Journal of Numerical Analysis and Approximation Theory, 2020 In this paper we give a suitable definition for the pairs of adjacent (convergent) sequences of real numbers, we present some two-sided estimations which caracterize the order of convergence to its limits of some of these sequences and we give certain ...
Dorel I. Duca, Andrei Vernescu
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AIMS MathematicsIn this article, the Cauchy problem for a 3D elliptic equation is considered in a cylindrical domain. To regularize the problem, we propose a regularization method named 'identical approximation regularization', which does not require complicated ...
Shangqin He
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Bayesian Social Learning with Local Interactions
Games, 2010 We study social learning in a large population of agents who only observe the actions taken by their neighbours. Agents have to choose one, out of two, reversible actions, each optimal in one, out of two, unknown states of the world.
Antonella Ianni, Antonio Guarino
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Convergence Rates for Markov Chains [PDF]
SIAM Review, 1995 Summary: This is an expository paper that presents various ideas related to nonasymptotic rates of convergence for Markov chains. Such rates are of great importance for stochastic algorithms that are widely used in statistics and in computer science. They also have applications to analysis of card shuffling and other areas.
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Stochastic Systems, 2016 This paper provides an introduction to the Stein method framework in the context of steady-state diffusion approximations. The framework consists of three components: the Poisson equation and gradient bounds, generator coupling, and moment bounds ...
Anton Braverman, J. G. Dai, Jiekun Feng
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