Fetching the paper…
Reading the bibliography…
We study the central limit theorem for sums of independent tensor powers, $\frac{1}{\sqrt{d}}\sum\limits_{i=1}^d X_i^{\otimes p}$.
A bound for the error in the normal approximation to the distribution of a sum of dependent random variables
C. Stein · 1972
Earlier work this paper cites.
A note on the isoperimetric constant
P. Buser · 1982
Earlier work this paper cites.
Approximate computation of expectations
C. Stein · 1986
Earlier work this paper cites.
Décomposition polaire et réarrangement monotone des champs de vecteurs
Y. Brenier · 1987
Earlier work this paper cites.
A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity
L. A. Caffarelli · 1990
Earlier work this paper cites.
The regularity of mappings with a convex potential
L. A. Caffarelli · 1992
Earlier work this paper cites.
Isoperimetric problems for convex bodies and a localization lemma
R. Kannan, L. Lovász, and M. Simonovits · 1995
Earlier work this paper cites.
Transportation cost for Gaussian and other product measures
M. Talagrand · 1996
Earlier work this paper cites.
Gaussian Hilbert spaces
S. Janson · 1997
Earlier work this paper cites.
Monotonicity properties of optimal transportation and the FKG and related inequalities
L. A. Caffarelli · 2000
Earlier work this paper cites.
Introduction to infinite dimensional stochastic analysis
Z.-y. Huang and J.-a. Yan · 2000
Earlier work this paper cites.
Weakly differentiable functions
W. P. Ziemer · 2002
Earlier work this paper cites.
The central limit problem for convex bodies
M. Anttila, K. Ball, and I. Perissinaki · 2003
Earlier work this paper cites.
On the rate of convergence in the entropic central limit theorem
S. Artstein, K. M. Ball, F. Barthe, and A. Naor · 2004
Earlier work this paper cites.
Elements of information theory
T. M. Cover and J. A. Thomas · 2006
Earlier work this paper cites.
The geometry of logconcave functions and sampling algorithms
L. Lovász and S. Vempala · 2007
Earlier work this paper cites.
Multivariate normal approximation using exchangeable pairs
S. Chatterjee and E. Meckes · 2008
Cited alongside, same era.
Optimal transport: old and new
C. Villani · 2008
Cited alongside, same era.
Fluctuations of eigenvalues and second order Poincaré inequalities
S. Chatterjee · 2009
Cited alongside, same era.
On the role of convexity in isoperimetry, spectral gap and concentration
E. Milman · 2009
Cited alongside, same era.
Global Hölder estimates for optimal transportation
A. V. Kolesnikov · 2010
Cited alongside, same era.
Normal approximation by Stein’s method
L. H. Y. Chen, L. Goldstein, and Q.-M. Shao · 2011
Cited alongside, same era.
Fundamentals of Stein’s method
Information and dimensionality of anisotropic random geometric graphs
R. Eldan and D. Mikulincer · 2016
Later among the works it cites.
Lipschitz changes of variables between perturbations of log-concave measures
M. Colombo, A. Figalli, and Y. Jhaveri · 2017
Later among the works it cites.
Entropic CLT and phase transition in high-dimensional Wishart matrices
S. Bubeck and S. Ganguly · 2018
Later among the works it cites.
Quantitative stability of the entropy power inequality
T. A. Courtade, M. Fathi, and A. Pananjady · 2018
Later among the works it cites.
Central limit theorem for linear eigenvalue statistics for a tensor product version of sample covariance matrices
A. Lytova · 2018
Later among the works it cites.
Asymptotic behavior of large gaussian correlated wishart matrices
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
N. Ross · 2011
Cited alongside, same era.
Random tensor theory: extending random matrix theory to mixtures of random product states
A. Ambainis, A. W. Harrow, and M. B. Hastings · 2012
Cited alongside, same era.
Normal approximations with Malliavin calculus: from Stein’s method to universality
I. Nourdin and G. Peccati · 2012
Cited alongside, same era.
The matrix cookbook, 2012
K. B. Petersen and M. S. Pedersen · 2012
Cited alongside, same era.
Thin shell implies spectral gap up to polylog via a stochastic localization scheme
R. Eldan · 2013
Cited alongside, same era.
Tensor decompositions for learning latent variable models
A. Anandkumar, R. Ge, D. Hsu, S. M. Kakade, and M. Telgarsky · 2014
Cited alongside, same era.
I. Nourdin and G. Zheng · 2018
Later among the works it cites.
Anomaly detection and location in distribution network: A data-driven approach
X. Shi, R. Qiu, X. He, L. Chu, Z. Ling, and H. Yang · 2018
Later among the works it cites.
Phase transitions for detecting latent geometry in random graphs
M. Brennan, G. Bresler, and D. Nagaraj · 2019
Later among the works it cites.
Bounds on optimal transport maps onto log-concave measures
M. Colombo and M. Fathi · 2019
Later among the works it cites.
Existence of Stein kernels under a spectral gap, and discrepancy bounds
T. A. Courtade, M. Fathi, and A. Pananjady · 2019
Later among the works it cites.
Stein kernels and moment maps
M. Fathi · 2019
Later among the works it cites.
Limiting behavior of largest entry of random tensor constructed by high-dimensional data
T. Jiang and J. Xie · 2019
Later among the works it cites.
A smooth transition from Wishart to GOE
M. Z. Rácz and J. Richey · 2019
Later among the works it cites.
Concentration inequalities for random tensors
R. Vershynin · 2019
Later among the works it cites.
The CLT in high dimensions: Quantitative bounds via martingale embedding
R. Eldan, D. Mikulincer, and A. Zhai · 2020
Closest in time.