Cover Image

A simple proof of almost sure convergence for the largest singular value of a product of Gaussian matrices

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Saada, Thiziri Nait, Naderi, Alireza
Format:	Preprint
Published:	2024
Subjects:	Probability
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Beyond IID weights: sparse and low-rank deep Neural Networks are also Gaussian Processes
by: Nait-Saada, Thiziri, et al.
Published: (2023)

Mind the Gap: a Spectral Analysis of Rank Collapse and Signal Propagation in Attention Layers
by: Saada, Thiziri Nait, et al.
Published: (2024)

Large deviations and almost sure convergence for the extremes of branching Lévy processes
by: Luo, Runjia, et al.
Published: (2025)

Large deviations for the largest singular value of sparse non-Hermitian matrices
by: Han, Hyungwon
Published: (2024)

On asymptotic behavior of almost surely extreme values of independent random variables
by: Akbash, Kateryna, et al.
Published: (2025)

A random polynomial with multiplicative coefficients is almost surely irreducible
by: Varjú, Péter P., et al.
Published: (2025)

Sure-almost-sure and Sure-limit-sure Window Mean Payoff in Markov Decision Processes
by: Gaba, Pranshu, et al.
Published: (2026)

An almost sure invariance principle for the Takagi-van der Waerden class functions
by: Nakano, Yuzaburo
Published: (2026)

Fourier levels and almost sure bounds on higher-order derivatives in first-passage percolation
by: Matic, Ivan, et al.
Published: (2025)

Edge statistics for singular values of products of rectangular complex Ginibre matrices
by: Gu, Yandong
Published: (2025)

The smallest singular value of sparse discrete random matrices
by: Yu, Kexin
Published: (2025)

Fluctuations of the largest eigenvalues of transformed spiked Wigner matrices
by: Lee, Aro, et al.
Published: (2025)

The smallest singular value for rectangular random matrices with Lévy entries
by: Han, Yi
Published: (2024)

The smallest singular value of signed random combinatorial matrices
by: Yu, Kexin
Published: (2026)

Small ball probability for multiple singular values of symmetric random matrices
by: Han, Yi
Published: (2024)

Quantitative estimates of the singular values of random i.i.d. matrices
by: Dai, Guozheng, et al.
Published: (2024)

The smallest singular value of inhomogenous random rectangular matrices
by: Dabagia, Max, et al.
Published: (2024)

The attainable almost sure large dimensions
by: Hare, Kathryn E., et al.
Published: (2026)

On the tradeoff between almost sure error tolerance and mean deviation frequency in martingale convergence
by: Estrada, Luisa F., et al.
Published: (2023)

Tail behavior and almost sure growth rate of supOU processes
by: Grahovac, Danijel, et al.
Published: (2024)

Full large deviation principles for the largest eigenvalue of sub-Gaussian Wigner matrices
by: Cook, Nicholas A., et al.
Published: (2023)

Simplicity of singular value spectrum of random matrices and two-point quantitative invertibility
by: Han, Yi
Published: (2025)

A short proof of the strong three dimensional Gaussian product inequality
by: Herry, Ronan, et al.
Published: (2022)

Particle systems with sources and sinks
by: Redig, Frank, et al.
Published: (2024)

Randomized coordinate gradient descent almost surely escapes strict saddle points
by: Chen, Ziang, et al.
Published: (2025)

Extreme singular values of inhomogeneous sparse random rectangular matrices
by: Dumitriu, Ioana, et al.
Published: (2022)

Multiple collisions of eigenvalues and singular values of matrix Gaussian field
by: Yuan, Wangjun
Published: (2024)

Strong convergence of tensor products of independent G.U.E. matrices
by: Belinschi, Serban, et al.
Published: (2022)

A simple proof of the discreteness of Dirichlet processes
by: Hjort, Nils Lid
Published: (2026)

The smallest singular value of large random rectangular Toeplitz and circulant matrices
by: Onatski, Alexei, et al.
Published: (2024)

Poisson approximation of the largest gaps between zeros of a stationary Gaussian process
by: Feng, Renjie, et al.
Published: (2026)

Almost sure central limit theorems for parabolic/hyperbolic Anderson models with Gaussian colored noises
by: Xia, Panqiu, et al.
Published: (2024)

Brown measure convergence for the spectrum of polynomials in Ginibre matrices
by: Han, Yi
Published: (2026)

Repeated singular values of a random symmetric matrix and decoupled singular value estimates
by: Han, Yi
Published: (2025)

Hydrodynamic limit of the directed exclusion process
by: Saada, Ellen, et al.
Published: (2026)

A simple proof of local universality for roots of Kac polynomials
by: Michelen, Marcus, et al.
Published: (2025)

LDP for the largest eigenvalue of Kronecker random matrices
by: Guionnet, Alice, et al.
Published: (2025)

CARMIL: Context-Aware Regularization on Multiple Instance Learning models for Whole Slide Images
by: Saada, Thiziri Nait, et al.
Published: (2024)

The Data-Quality Illusion: Rethinking Classifier-Based Quality Filtering for LLM Pretraining
by: Saada, Thiziri Nait, et al.
Published: (2025)

Tight matrices and heavy traffic steady state convergence in queueing networks
by: Dai, J. G., et al.
Published: (2024)