Large deviations for random matrices in the orthogonal group and Stiefel manifold with applications to random projections of product distributions
DOI10.1214/22-AIHP1340zbMATH Open1546.60053MaRDI QIDQ6596224
Zakhar Kabluchko, Joscha Prochno
Publication date: 2 September 2024
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
orthogonal groupStiefel manifoldprojective limitlarge deviation principlerandom matrixrandom projectionproduct measurematrix variate distributions
Random matrices (probabilistic aspects) (60B20) Large deviations (60F10) Random convex sets and integral geometry (aspects of convex geometry) (52A22) Asymptotic theory of Banach spaces (46B06)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- A mathematical introduction to compressive sensing
- A central limit theorem for projections of the cube
- The entries of Haar-invariant matrices from the Classical compact groups
- Geometry of log-concave ensembles of random matrices and approximate reconstruction
- Large deviations for random projections of \(\ell^{p}\) balls
- Quenched large deviation principle for words in a letter sequence
- Some extensions of a theorem of Marcinkiewicz
- How many entries of a typical orthogonal matrix can be approximated by independent normals?
- Large deviations and stochastic calculus for large random matrices
- Large deviations techniques and applications.
- The curse of dimensionality for numerical integration on general domains
- Large deviations for high-dimensional random projections of \(\ell_p^n\)-balls
- Maxima of entries of Haar distributed matrices
- Eigenvalue distribution of compact operators
- On the rate of convergence in the entropic central limit theorem
- The maximum entropy principle and volumetric properties of Orlicz balls
- A new look at random projections of the cube and general product measures
- \(L_2\)-norm sampling discretization and recovery of functions from RKHS with finite trace
- An asymptotic thin shell condition and large deviations for random multidimensional projections
- Asymptotics of the inertia moments and the variance conjecture in Schatten balls
- Sanov-type large deviations in Schatten classes
- Large deviations, moderate deviations, and the KLS conjecture
- Multivariate central limit theorems for random simplicial complexes
- Sharp asymptotics for \(q\)-norms of random vectors in high-dimensional \(\ell_p^n\)-balls
- Thin-shell concentration for random vectors in Orlicz balls via moderate deviations and Gibbs measures
- Gaussian fluctuations for high-dimensional random projections of \(\ell_p^n\)-balls
- A central limit theorem for convex sets
- The central limit problem for random vectors with symmetries
- Central limit theorems for random polytopes
- Sur une propriété de la loi de Gauss
- Cramér’s Theorem is Atypical
- Interactions between compressed sensing random matrices and high dimensional geometry
- Generalized Dirichlet distributions on the ball and moments
- On the Mutual Independence of Certain Statistics
- On the Volume of the Intersection of Two L n p Balls
- On Samples with Identically Distributed Linear Statistics
- The central limit problem for convex bodies
- A conditional limit theorem for high-dimensional ℓᵖ-spheres
- High-dimensional limit theorems for random vectors in ℓpn-balls
- Large deviations from the mckean-vlasov limit for weakly interacting diffusions
- Random sections of ellipsoids and the power of random information
- Projections of the uniform distribution on the cube: a large deviation perspective
- High-dimensional limit theorems for random vectors in ℓpn-balls. II
- Matricvariate Generalizations of the Multivariate $t$ Distribution and the Inverted Multivariate $t$ Distribution
- Probability theory. A comprehensive course
- Traces and determinants of linear operators
- CLT and the volume of intersections of \(\ell_p^n\)-balls
This page was built for publication: Large deviations for random matrices in the orthogonal group and Stiefel manifold with applications to random projections of product distributions
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6596224)