Stein's method and stochastic analysis of Rademacher functionals

Stein's method and stochastic analysis of Rademacher functionals

We compute explicit bounds in the Gaussian approximation of functionals of infinite Rademacher sequences. Our tools involve Stein's method, as well as the use of appropriate discrete Malliavin operators. Although our approach does not require the classical use of exchangeable pairs, we employ a...

Cur síos iomlán

Sonraí bibleagrafaíochta
Príomhchruthaitheoirí:	Nourdin, I, Peccati, G, Reinert, G
Formáid:	Journal article
Teanga:	English
Foilsithe / Cruthaithe:	2008

Míreanna comhchosúla

Second order Poincaré inequalities and CLTs on Wiener space
de réir: Nourdin, I, et al.
Foilsithe / Cruthaithe: (2008)

Invariance principles for homogeneous sums: Universality of Gaussian Wiener chaos
de réir: Nourdin, I, et al.
Foilsithe / Cruthaithe: (2009)

Gaussian approximation of functionals: Malliavin calculus and Stein's method
de réir: Reinert, G
Foilsithe / Cruthaithe: (2011)

Malliavin–Stein method: a survey of some recent developments
de réir: Ehsan Azmoodeh, et al.
Foilsithe / Cruthaithe: (2021-06-01)

Stein's method for discrete Gibbs measures
de réir: Eichelsbacher, P, et al.
Foilsithe / Cruthaithe: (2008)

Stein's method for comparison of univariate distributions
de réir: Ley, C, et al.
Foilsithe / Cruthaithe: (2016)

The KKL inequality and Rademacher type 2
de réir: Paata Ivanisvili, et al.
Foilsithe / Cruthaithe: (2024-05-01)

Some applications of the Menshov–Rademacher theorem
de réir: Mukeru, Safari
Foilsithe / Cruthaithe: (2021-09-01)

Mixed Rademacher and BPS black holes
de réir: Francesca Ferrari, et al.
Foilsithe / Cruthaithe: (2017-07-01)

Stein's method for the Beta distribution and the Pólya-Eggenberger Urn
de réir: Goldstein, L, et al.
Foilsithe / Cruthaithe: (2012)

Bounds for the chi-square approximation of Friedman's statistic by Stein's method
de réir: Gaunt, R, et al.
Foilsithe / Cruthaithe: (2023)

First order covariance inequalities via Stein's method
de réir: Ernst, M, et al.
Foilsithe / Cruthaithe: (2020)

Rademacher expansions and the spectrum of 2d CFT
de réir: Alday, LF, et al.
Foilsithe / Cruthaithe: (2020)

A Rademacher-Type Formula for 𝑝𝑜𝑑(𝑛)
de réir: Vyacheslav Kiria-Kaiserberg
Foilsithe / Cruthaithe: (2011-01-01)

A Rademacher Type Formula for Partitions and Overpartitions
de réir: Andrew V. Sills
Foilsithe / Cruthaithe: (2010-01-01)

On the constant in Meńshov-Rademacher inequality
de réir: Levental Shlomo, et al.
Foilsithe / Cruthaithe: (2006-01-01)

Chi-square approximation by Stein's method with application to Pearson's statistic
de réir: Gaunt, R, et al.
Foilsithe / Cruthaithe: (2017)

Distributional transformations, orthogonal polynomials, and stein characterizations
de réir: Goldstein, L, et al.
Foilsithe / Cruthaithe: (2005)

Distributional transformations, orthogonal polynomials, and Stein characterizations
de réir: Goldstein, L, et al.
Foilsithe / Cruthaithe: (2005)

Heegaard floer correction terms and dedekind-rademacher sums
de réir: Jabuka, Stanislav, et al.
Foilsithe / Cruthaithe: (2014)

Mining Sequential Patterns with VC-Dimension and Rademacher Complexity
de réir: Diego Santoro, et al.
Foilsithe / Cruthaithe: (2020-05-01)

Estimates of the Approximation Error Using Rademacher Complexity: Learning Vector-Valued Functions
de réir: Sanguineti Marcello, et al.
Foilsithe / Cruthaithe: (2008-01-01)

Estimates of the Approximation Error Using Rademacher Complexity: Learning Vector-Valued Functions
de réir: Giorgio Gnecco, et al.
Foilsithe / Cruthaithe: (2009-02-01)

Empirical Bayes via ERM and Rademacher complexities: the Poisson model
de réir: Teh, Anzo Zhao Yang
Foilsithe / Cruthaithe: (2023)

Multivariate normal approximation with Stein's method of exchangeable pairs under a general linearity condition
de réir: Reinert, G, et al.
Foilsithe / Cruthaithe: (2007)

Differentiability and ApproximateDifferentiability for Intrinsic LipschitzFunctions in Carnot Groups and a RademacherTheorem
de réir: Franchi Bruno, et al.
Foilsithe / Cruthaithe: (2014-01-01)

Stein's method for functional approximations
de réir: Kasprzak, M
Foilsithe / Cruthaithe: (2018)

A kernelised Stein statistic for assessing implicit generative models
de réir: Xu, W, et al.
Foilsithe / Cruthaithe: (2023)

A Stein goodness-of-test for exponential random graph models
de réir: Xu, W, et al.
Foilsithe / Cruthaithe: (2021)

About interpolation of subspaces of rearrangement invariant spaces generated by Rademacher system
de réir: Sergey V. Astashkin
Foilsithe / Cruthaithe: (2001-01-01)

Discrete orthogonal transform in signal processing based on the sequence of Fibonacci-Rademacher
de réir: Trương Hoàng Vinh
Foilsithe / Cruthaithe: (2013-09-01)

Third cumulant stein approximation for Poisson stochastic integrals
de réir: Privault, Nicolas
Foilsithe / Cruthaithe: (2021)

On RKHS choices for assessing graph generators via kernel Stein statistics
de réir: Weckbecker, M, et al.
Foilsithe / Cruthaithe: (2022)

AgraSSt: approximate graph Stein statistics for interpretable assessment of implicit graph generators
de réir: Xu, W, et al.
Foilsithe / Cruthaithe: (2023)

Exponential tail local Rademacher complexity risk bounds without the Bernstein condition
de réir: Kanade, V, et al.
Foilsithe / Cruthaithe: (2024)

Exact half-BPS black hole entropies in CHL models from Rademacher series
de réir: Richard Nally
Foilsithe / Cruthaithe: (2019-01-01)

Stein's method for functions of multivariate normal random variables
de réir: Gaunt, R
Foilsithe / Cruthaithe: (2015)

Virginia Newhall Rademacher, Derivative Lives. Biofiction, Uncertainty, and Speculative Risk in Contemporary Spanish Narrative
de réir: J. Ignacio Díez
Foilsithe / Cruthaithe: (2024-03-01)

Stein-type covariance identities: Klaassen, Papathanasiou and Olkin-Shepp type bounds for arbitrary target distributions
de réir: Ernst, M, et al.
Foilsithe / Cruthaithe: (2018)

The Stein-Dirichlet-Malliavin method
de réir: Decreusefond L.
Foilsithe / Cruthaithe: (2015-10-01)