Thin-shell concentration for random vectors in Orlicz balls via moderate deviations and Gibbs measures
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Publication:2243168
DOI10.1016/j.jfa.2021.109291zbMath1487.46013arXiv2011.07523OpenAlexW3210419182MaRDI QIDQ2243168
David Alonso-Gutiérrez, Joscha Prochno
Publication date: 11 November 2021
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.07523
Central limit and other weak theorems (60F05) Large deviations (60F10) Probabilistic methods in Banach space theory (46B09) Asymptotic theory of convex bodies (52A23) Asymptotic theory of Banach spaces (46B06)
Related Items (3)
Sanov-type large deviations and conditional limit theorems for high-dimensional Orlicz balls ⋮ A Maxwell principle for generalized Orlicz balls ⋮ An asymptotic thin shell condition and large deviations for random multidimensional projections
Cites Work
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- A mathematical introduction to compressive sensing
- A central limit theorem for projections of the cube
- Approaching the Kannan-Lovász-Simonovits and variance conjectures
- Interpolating thin-shell and sharp large-deviation estimates for isotropic log-concave measures
- Sudakov's typical marginals, random linear functionals and a conditional central limit theorem
- Large deviations for random projections of \(\ell^{p}\) balls
- An isoperimetric inequality on the \(\ell _p\) balls
- Community detection in sparse networks via Grothendieck's inequality
- A Berry-Esseen type inequality for convex bodies with an unconditional basis
- Large deviations techniques and applications.
- The KLS isoperimetric conjecture for generalized Orlicz balls
- The curse of dimensionality for numerical integration on general domains
- Large deviations for high-dimensional random projections of \(\ell_p^n\)-balls
- The variance conjecture on hyperplane projections of the \(\ell_p^n\) balls
- Mean width of regular polytopes and expected maxima of correlated Gaussian variables
- The maximum entropy principle and volumetric properties of Orlicz balls
- A new look at random projections of the cube and general product measures
- Sanov-type large deviations in Schatten classes
- Large deviations, moderate deviations, and the KLS conjecture
- Asymptotics of graphical projection pursuit
- Remarks on non-interacting conservative spin systems: the case of gamma distributions
- Gaussian fluctuations for high-dimensional random projections of \(\ell_p^n\)-balls
- A central limit theorem for convex sets
- Central limit theorems for random polytopes
- Learning without Concentration
- Cramér’s Theorem is Atypical
- The surface measure and cone measure on the sphere of ℓ_{𝑝}ⁿ
- On the Volume of the Intersection of Two L n p Balls
- On the infimum convolution inequality
- Limit theorems for uniform distributions on spheres in high-dimensional euclidean spaces
- Moderate Deviations for I.I.D. Random Variables
- The central limit problem for convex bodies
- A conditional limit theorem for high-dimensional ℓᵖ-spheres
- Limit theorems for random simplices in high dimensions
- High-dimensional limit theorems for random vectors in ℓpn-balls
- Random polytopes: Central limit theorems for intrinsic volumes
- High-Dimensional Probability
- The Variance Conjecture on Some Polytopes
- High-dimensional limit theorems for random vectors in ℓpn-balls. II
- Stochastic localization + Stieltjes barrier = tight bound for log-Sobolev
- The Kannan–Lovász–Simonovits conjecture
- The Square Negative Correlation Property for Generalized Orlicz Balls
- On the Gaussian behavior of marginals and the mean width of random polytopes
- On the Probabilities of Large Deviations for Sums of Independent Random Variables
- Saddlepoint Approximations in Statistics
- CLT and the volume of intersections of \(\ell_p^n\)-balls
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