Fetching the paper…
Reading the bibliography…
We establish a Shearer-type inequality for the Poincar\'e constant, showing that the Poincar\'e constant corresponding to the convolution of a collection of measures can be nontrivially controlled by the Poincar\'e constants corresponding to convolutions of subsets of measures.
A class of statistics with asymptotically normal distribution
Hoeffding, W. (1948) · 1948
Earlier work this paper cites.
Nonnegative entropy measures of multivariate symmetric correlations
Te Sun, H. (1978) · 1978
Earlier work this paper cites.
On an inequality and a related characterization of the normal distribution
Borovkov, A. A. and Utev, S. A. (1983) · 1983
Earlier work this paper cites.
Some intersection theorems for ordered sets and graphs
Chung, F. R., Graham, R. L., Frankl, P., and Shearer, J. B. (1986) · 1986
Earlier work this paper cites.
Poincaré’s inequalities and Talagrand’s concentration phenomenon for the exponential distribution
Bobkov, S. and Ledoux, M. (1997) · 1997
Earlier work this paper cites.
Remarks on the maximum correlation coefficient
Dembo, A., Kagan, A., and Shepp, L. A. (2001) · 2001
Earlier work this paper cites.
The concentration of measure phenomenon
Ledoux, M. (2001) · 2001
Earlier work this paper cites.
Solution of Shannon’s problem on the monotonicity of entropy
Artstein, S., Ball, K., Barthe, F., and Naor, A. (2004) · 2004
Earlier work this paper cites.
Convergence of the Poincaré constant
Johnson, O. (2004) · 2004
Cited alongside, same era.
Generalized entropy power inequalities and monotonicity properties of information
Madiman, M. and Barron, A. (2007) · 2007
Cited alongside, same era.
On fine properties of mixtures with respect to concentration of measure and Sobolev type inequalities
Chafai, D. and Malrieu, F. (2010) · 2010
Cited alongside, same era.
Poincaré inequalities and dimension free concentration of measure
Gozlan, N. (2010) · 2010
Cited alongside, same era.
Estimating the unseen: an n / log ( n ) n/\log(n) -sample estimator for entropy and support size, shown optimal via new CLTs
Valiant, G. and Valiant, P. (2011) · 2011
Cited alongside, same era.
Elements of information theory
Cover, T. M. and Thomas, J. A. (2012) · 2012
Berry–Esseen bounds in the entropic central limit theorem
Bobkov, S. G., Chistyakov, G. P., and Götze, F. (2014) · 2014
Later among the works it cites.
From dimension free concentration to the Poincaré inequality
Gozlan, N., Roberto, C., and Samson, P.-M. (2015) · 2015
Later among the works it cites.
Stein’s method, logarithmic Sobolev and transport inequalities
Ledoux, M., Nourdin, I., and Peccati, G. (2015) · 2015
Later among the works it cites.
Functional inequalities for Gaussian convolutions of compactly supported measures: explicit bounds and dimension dependence
Bardet, J.-B., Gozlan, N., Malrieu, F., and Zitt, P.-A. (2018) · 2018
Closest in time.
Existence of Stein kernels under a spectral gap, and discrepancy bounds
Courtade, T. A., Fathi, M., and Pananjady, A. (2018, to appear) · 2018
Closest in time.
Regularity of solutions of the Stein equation and rates in the multivariate central limit theorem
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Logarithmic Sobolev inequalities for mollified compactly supported measures
Zimmermann, D. (2013) · 2013
Cited alongside, same era.
Gallouët, T., Mijoule, G., and Swan, Y. (2018) · 2018
Closest in time.
A high-dimensional CLT in W 2 W_{2} distance with near optimal convergence rate
Zhai, A. (2018) · 2018
Closest in time.