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Concentration inequalities for Gibbs measures [PDF]

open access: yesInfinite Dimensional Analysis, Quantum Probability and Related Topics, 2010
We are interested in Sobolev type inequalities and their relationship with concentration properties on higher dimensions. We consider unbounded spin systems on the d-dimensional lattice with interactions that increase slower than a quadratic. At first we
Papageorgiou, Ioannis
core   +2 more sources

Concentration Inequalities [PDF]

open access: yes, 2007
Concentration inequalities deal with deviations of functions of independent random variables from their expectation. In the last decade new tools have been introduced making it possible to establish simple and powerful inequalities. These inequalities are at the heart of the mathematical analysis of various problems in machine learning and made it ...
Boucheron, S., Lugosi, G., Bousquet, O.
  +8 more sources

Quantum Concentration Inequalities [PDF]

open access: yesAnnales Henri Poincaré, 2022
AbstractWe establish Transportation Cost Inequalities (TCIs) with respect to the quantum Wasserstein distance by introducing quantum extensions of well-known classical methods: First, we generalize the Dobrushin uniqueness condition to prove that Gibbs states of 1D commuting Hamiltonians satisfy a TCI at any positive temperature and provide conditions ...
De Palma G., Rouze C.
openaire   +3 more sources

Matrix Poincaré inequalities and concentration [PDF]

open access: yesAdvances in Mathematics, 2020
Final version, to appear in Advances in ...
Aoun, Richard   +2 more
openaire   +2 more sources

Generalizations of some concentration inequalities [PDF]

open access: yesStatistics & Probability Letters, 2022
11 ...
M. Ashraf Bhat, G. Sankara Raju Kosuru
openaire   +3 more sources

Functional Inequalities for Two-Level Concentration [PDF]

open access: yesPotential Analysis, 2021
AbstractProbability measures satisfying a Poincaré inequality are known to enjoy a dimension-free concentration inequality with exponential rate. A celebrated result of Bobkov and Ledoux shows that a Poincaré inequality automatically implies a modified logarithmic Sobolev inequality. As a consequence the Poincaré inequality ensures a stronger dimension-
Barthe, Franck, Strzelecki, Michał
openaire   +5 more sources

Rising Concentration and Wage Inequality [PDF]

open access: yesSSRN Electronic Journal, 2020
AbstractWage inequality has risen in many countries over recent decades. At the same time, production has become increasingly concentrated in a small number of firms. In this paper, we show that these two phenomena are linked. Theoretically, we show that an increase in consumer price sensitivity will lead to an increase in the sectoral concentration of
Cortes, Guido Matias, Tschopp, Jeanne
openaire   +4 more sources

Concentration Inequalities and Martingale Inequalities: A Survey [PDF]

open access: yesInternet Mathematics, 2006
We examine a number of generalized and extended versions of concentration inequalities and martingale inequalities. These inequalities are effective for analyzing processes with quite general conditions as illustrated in an example for an infinite Polya process and web graphs.
Chung, Fan, Lu, Linyuan
openaire   +2 more sources

Concentration Inequalities for Statistical Inference

open access: yesCommunications in Mathematical Research, 2021
We fix some minor errors and update some ...
Zhang, Huiming, Chen, Songxi
openaire   +4 more sources

Socioeconomic disparities in the burden of hypertension among Indonesian adults - a multilevel analysis

open access: yesGlobal Health Action, 2022
Background Hypertension remains a problem of public health across various socioeconomic groups, despite its high prevalence. However, few studies account for geographical variation in examining socioeconomic inequalities and hypertension in Indonesia ...
Yusuf Ari Mashuri   +2 more
doaj   +1 more source

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