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On the Convergence Rate of Sinkhorn’s Algorithm

Mathematics of Operations Research, 2022
We study Sinkhorn’s algorithm for solving the entropically regularized optimal transport problem. Its iterate [Formula: see text] is shown to satisfy [Formula: see text], where H denotes relative entropy and [Formula: see text] denotes the optimal ...
Promit Ghosal, Marcel Nutz
semanticscholar   +1 more source

Verification of Reduced Convergence Rates

Computing, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Hsin-Yun, Li, Zi-Cai
openaire   +2 more sources

Rate of Convergence

1990
In this chapter, the rate of convergence of the algorithm to its ODE and/or to the desired value θ* is described in more detail. The analysis is again asymptotic.
Albert Benveniste   +2 more
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Convergence Rates of SNP Density Estimators

Econometrica, 1996
The seminonparametric (SNP) density estimator, proposed by \textit{A. R. Gallant} and \textit{D. W. Nychka} [ibid. 55, 363-390 (1987; Zbl 0631.62110)], has been used for structural, reduced form, and efficient method of moments estimation in economics, finance, and the health sciences.
Fenton, Victor M, Gallant, A Ronald
openaire   +2 more sources

Rates of Convergence

1978
In Section 7.1, rate of convergence is defined, and our approach to the rate problem discussed. The rates are developed (in Section 7.3) for three separate cases, two forms of the basic KW procedure and the basic RM procedure. These algorithms are discussed in Section 7.1 and are put into a form which will be useful in the subsequent development.
Harold J. Kushner, Dean S. Clark
openaire   +1 more source

Rate of Convergence

1997
The traditional definition of rate of convergence refers to the asymptotic properties of normalized errors about the limit point \( \bar \theta \). If e n = e for the Robbins—Monro algorithm, it is concerned with the asymptotic properties of \( U_n^ \in = \left( {\theta _n^ \in - \bar \theta } \right)/\sqrt \in \) for large n and small ∈.
Harold J. Kushner, G. George Yin
openaire   +1 more source

Rates of convergence

2015
In this chapter, we study the local rate of convergence of r n (x) to r(x). We obtain full information on the first asymptotic term of r n (x) − r(x), and are rewarded with (i) a central limit theorem for r n (x) − r(x), and (ii) a way of helping the user decide how to choose the weights v ni of the estimate.
Gérard Biau, Luc Devroye
openaire   +1 more source

Rates of Convergence

1996
This chapter gives some results on rates of convergence of M-estimators, including maximum likelihood estimators and least-squares estimators. We first state an abstract result, which is a generalization of the theorem on rates of convergence in Chapter 3.2, and next discuss some methods to establish the maximal inequalities needed for the application ...
Aad W. van der Vaart, Jon A. Wellner
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Convergences of Prices and Rates of Inflation [PDF]

open access: possibleSSRN Electronic Journal, 2006
AbstractWe consider how unit‐root and stationarity tests can be used to study the convergence of prices and rates of inflation. We show how the joint use of these tests in levels and first differences allows the researcher to distinguish between series that are converging and series that have already converged, and we set out a strategy to establish ...
Fabio Busetti   +2 more
openaire   +1 more source

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