Empirical processes with a bounded \(\psi_1\) diameter
From MaRDI portal
Publication:602049
DOI10.1007/s00039-010-0084-5zbMath1204.60042arXiv1005.0816OpenAlexW2169382351MaRDI QIDQ602049
Publication date: 29 October 2010
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1005.0816
Related Items
Upper bounds on product and multiplier empirical processes, Robust covariance estimation under \(L_4\)-\(L_2\) norm equivalence, On generic chaining and the smallest singular value of random matrices with heavy tails, On the optimality of the empirical risk minimization procedure for the convex aggregation problem, Non-asymptotic bounds for the \(\ell_{\infty}\) estimator in linear regression with uniform noise, Geometry of log-concave ensembles of random matrices and approximate reconstruction, General nonexact oracle inequalities for classes with a subexponential envelope, Von Neumann entropy penalization and low-rank matrix estimation, Minimax sparse principal subspace estimation in high dimensions, Sparse PCA: optimal rates and adaptive estimation, Phase retrieval: stability and recovery guarantees, \(L_1\)-penalization in functional linear regression with subgaussian design, Approximating the moments of marginals of high-dimensional distributions, Learning without Concentration, Convex Recovery of a Structured Signal from Independent Random Linear Measurements, Nonparametric inference in generalized functional linear models, Squared-norm empirical processes, Moment bounds for large autocovariance matrices under dependence
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Restricted isometry property of matrices with independent columns and neighborly polytopes by random sampling
- Regularity of Gaussian processes
- Some limit theorems for empirical processes (with discussion)
- \(L_{p}\)-moments of random vectors via majorizing measures
- Concentration of mass on convex bodies
- Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
- Random vectors in the isotropic position
- Extremal problems and isotropic positions of convex bodies
- Persistene in high-dimensional linear predictor-selection and the virtue of overparametrization
- Extremal distances between sections of convex bodies
- A probabilistic approach to the geometry of the \(\ell^n_p\)-ball
- Weak convergence and empirical processes. With applications to statistics
- \(\ell _{1}\)-regularized linear regression: persistence and oracle inequalities
- On weakly bounded empirical processes
- The Dantzig selector: statistical estimation when \(p\) is much larger than \(n\). (With discussions and rejoinder).
- Reconstruction and subgaussian operators in asymptotic geometric analysis
- Empirical processes and random projections
- Sampling convex bodies: a random matrix approach
- Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
- Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
- Quantitative estimates of the convergence of the empirical covariance matrix in log-concave ensembles
- Subspaces of Small Codimension of Finite-Dimensional Banach Spaces
- Uniform Central Limit Theorems
- The Supremum of Some Canonical Processes
- Random walks and anO*(n5) volume algorithm for convex bodies
- The Generic Chaining
- Concentration property on probability spaces.