Hanson-Wright inequality in Banach spaces
From MaRDI portal
Publication:2028940
DOI10.1214/19-AIHP1041zbMath1478.60068arXiv1811.00353OpenAlexW3102032709MaRDI QIDQ2028940
Radosław Adamczak, Rafał Meller, Rafał Latała
Publication date: 3 June 2021
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.00353
Gaussian processesquadratic formsmetric entropyHanson-Wright inequalityGaussian chaosestail and moment inequalities
Gaussian processes (60G15) Inequalities; stochastic orderings (60E15) Quadratic and bilinear forms, inner products (15A63) Probability theory on linear topological spaces (60B11)
Related Items (4)
Uniform Hanson-Wright type concentration inequalities for unbounded entries via the entropy method ⋮ Some notes on concentration for \(\alpha\)-subexponential random variables ⋮ Concentration inequalities for bounded functionals via log-Sobolev-type inequalities ⋮ Moments of Gaussian chaoses in Banach spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Transference principles for log-Sobolev and spectral-gap with applications to conservative spin systems
- Concentration inequalities for non-Lipschitz functions with bounded derivatives of higher order
- Concentration inequalities and moment bounds for sample covariance operators
- Flexible results for quadratic forms with applications to variance components estimation
- Hanson-Wright inequality and sub-Gaussian concentration
- Estimates of moments and tails of Gaussian chaoses
- A note on the Hanson-Wright inequality for random vectors with dependencies
- Stochastic integration of operator-valued functions with respect to Banach space-valued Brownian motion
- Decoupling inequalities for polynomial chaos
- On decoupling, series expansions, and tail behavior of chaos processes
- Sudakov-type minoration for Gaussian chaos processes
- Decoupling inequalities for the tail probabilities of multivariate \(U\)- statistics
- Tail and moment estimates for chaoses generated by symmetric random variables with logarithmically concave tails
- A bound on tail probabilities for quadratic forms in independent random variables whose distributions are not necessarily symmetric
- Suprema of Chaos Processes and the Restricted Isometry Property
- Hitting probabilities of killed brownian motion : a study on geometric regularity
- Analysis in Banach Spaces
- High-Dimensional Probability
- Tail and moment estimates for some types of chaos
- Tail and moment estimates for sums of independent random vectors with logarithmically concave tails
- Upper and Lower Bounds for Stochastic Processes
- On Measure Concentration of Vector-Valued Maps
- A Bound on Tail Probabilities for Quadratic Forms in Independent Random Variables
- Monotonicity properties of optimal transportation and the FKG and related inequalities
This page was built for publication: Hanson-Wright inequality in Banach spaces
