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Transport inequalities and Concentration of measure* [PDF]
ESAIM: Proceedings and Surveys, 2015 We give a short introduction to the concentration of measure phenomenon and connect it with different functional inequalities (Poincaré, Talagrand and Log-Sobolev inequalities).
Gozlan Nathael
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Decomposing wealth-based inequalities in ideal cardiovascular health in Kenya [PDF]
Communications MedicineBackground This study examined wealth-related inequalities in ideal cardiovascular health (iCVH), as defined by the 2010 American Heart Association guideline, among Kenyan adults.
James Odhiambo Oguta +9 more
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Determinants of medical borrowing and associated inequalities in the Kingdom of Saudi Arabia: evidence from the Global Findex survey [PDF]
Health Economics ReviewBackground While out-of-pocket health expenses continue to rise, households’ coping strategies remain largely unexplored. When individuals and families rely on unsustainable mechanisms such as borrowing, they may face heightened financial vulnerability ...
Mohammed Khaled Al-Hanawi
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Investigating inequalities in NO2 air pollution concentrations on novel indicators relating to small spatial areas [PDF]
International Journal for Equity in HealthNitrogen dioxide (NO2), a significant air pollutant from transport-related fossil fuel combustion, presents a critical environmental health challenge.
Aislinn Hoy, Gretta Mohan, Anne Nolan
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Concentration Inequalities [PDF]
, 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.
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Quantum Concentration Inequalities [PDF]
Annales 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.
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Deviation bounds and concentration inequalities for quantum noises [PDF]
Quantum, 2022 We provide a stochastic interpretation of non-commutative Dirichlet forms in the context of quantum filtering. For stochastic processes motivated by quantum optics experiments, we derive an optimal finite time deviation bound expressed in terms of the ...
Tristan Benoist +2 more
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Multivariate Global-Local Priors for Small Area Estimation
Stats, 2022 It is now widely recognized that small area estimation (SAE) needs to be model-based. Global-local (GL) shrinkage priors for random effects are important in sparse situations where many areas’ level effects do not have a significant impact on the ...
Tamal Ghosh +3 more
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A modified Φ-Sobolev inequality for canonical Lévy processes and its applications
Modern Stochastics: Theory and Applications, 2023 A new modified Φ-Sobolev inequality for canonical ${L^{2}}$-Lévy processes, which are hybrid cases of the Brownian motion and pure jump-Lévy processes, is developed.
Noriyoshi Sakuma, Ryoichi Suzuki
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Matrix Poincaré inequalities and concentration [PDF]
Advances in Mathematics, 2020 Final version, to appear in Advances in ...
Aoun, Richard +2 more
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