2 citations · 3 across the 8 of their papers we have counts for
8 papers
On Empirical Spectral Distributions for Random Tensor Product Models
Simona Diaconu
In statistics, assuming samples are independent is reasonable. However, this property can fail to hold for the features, a distinction that has led to several lines of work aiming…
Admissible Sequences for Talagrand's -functional
Simona Diaconu
Suprema of random processes appear naturally in a plethora of disciplines, and Talagrand's majorizing theorem yields a geometric interpretation for them: for a centered Gaussian ra…
Moment Inequalities for Suprema of Gaussian Random Processes
Simona Diaconu
Suppose is a Gaussian process indexed by some arbitrary set the random variable can be very intricate and bounding its expectation is a…
Universality for Random Matrices
Simona Diaconu
Traces of large powers of real-valued Wigner matrices are known to have Gaussian fluctuations: for $A=\frac{1}{\sqrt{n}}(a_{ij})_{1 \leq i,j \leq n}\in \mathbb{R}^{n \times n}, A=A…
Two CLTs for Sparse Random Matrices
Simona Diaconu
Let be a homogeneous Erdös-Rényi graph, and its adjacency matrix with eigenvalues Local laws have been used to show that…
Finite Rank Perturbations of Heavy-Tailed Wigner Matrices
Simona Diaconu
One-rank perturbations of Wigner matrices have been closely studied: let with symmetric,…
More Limiting Distributions for Eigenvalues of Wigner Matrices
Simona Diaconu
The Tracy-Widom distributions are among the most famous laws in probability theory, partly due to their connection with Wigner matrices. In particular, for $A=\frac{1}{\sqrt{n}}(a_…
On the Eigenstructure of Covariance Matrices with Divergent Spikes
Simona Diaconu
For a generalization of Johnstone's spiked model, a covariance matrix with eigenvalues all one but of them, the number of features comparable to the number of samples $n: N…